Metrics for Octave 3.8, jcobi/2

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze51.0ms (0.5%)

Memory

-3.9MiB live, 77.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 41 to 23 computations (43.9% saved)

sample2.1s (20.9%)

Memory

71.4MiB live, 2 148.4MiB allocated

Samples

961.0ms	6 632×	0	valid
374.0ms	1 219×	1	valid
226.0ms	405×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-add: 436.0ms (36% of total)

ival-div: 327.0ms (27% of total)

ival-mult: 138.0ms (11.4% of total)

ival->: 125.0ms (10.3% of total)

ival-sub: 75.0ms (6.2% of total)

adjust: 72.0ms (5.9% of total)

exact: 18.0ms (1.5% of total)

ival-and: 17.0ms (1.4% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain416.0ms (4.1%)

Memory

13.3MiB live, 609.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
96	0	-	1	(-7.892655194736117e-256 -3.074828842579999e-162 1.830453754501869e-233)	`(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))`
57	1	(6.257379303467266e+76 4.861619442852924e+73 1.832557686084695e-287)	0	-	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
0	0	-	0	-	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`
0	0	-	0	-	`beta`
0	0	-	0	-	`(+.f64 alpha beta)`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`alpha`
0	0	-	0	-	`(*.f64 (+.f64 alpha beta) (-.f64 beta alpha))`
0	0	-	0	-	`(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`i`
0	0	-	0	-	`(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))`
0	0	-	0	-	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
0	0	-	0	-	`(-.f64 beta alpha)`
0	0	-	0	-	`(*.f64 #s(literal 2 binary64) i)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))`	o/n	82	0
↳	`(*.f64 (+.f64 alpha beta) (-.f64 beta alpha))`	overflow	82
`+.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	58	0

Confusion

	Predicted +	Predicted -
+	102	0
-	0	154

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	102	0	0
-	0	0	154

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	154
1	64
2	38

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

62.0ms	406×	0	valid
44.0ms	22×	2	valid
17.0ms	84×	1	valid

Compiler

Compiled 565 to 122 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-div: 48.0ms (55% of total)

ival-add: 23.0ms (26.3% of total)

ival-mult: 8.0ms (9.2% of total)

adjust: 4.0ms (4.6% of total)

ival-sub: 3.0ms (3.4% of total)

ival-true: 1.0ms (1.1% of total)

exact: 1.0ms (1.1% of total)

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

preprocess197.0ms (1.9%)

Memory

-36.8MiB live, 211.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	269
1	186	263
2	682	263
3	3464	261
0	15	29
0	25	29
1	43	29
2	118	29
3	486	29
4	2368	29
5	3813	29
6	5109	29
0	8083	26

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Compiler

Compiled 29 to 15 computations (48.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.0%	(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Status

Accuracy

Program

▶

62.0%

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

Compiler

Compiled 29 to 15 computations (48.3% saved)

simplify166.0ms (1.6%)

Memory

29.3MiB live, 220.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	133
0	25	133
1	43	133
2	118	133
3	486	133
4	2368	133
5	3813	133
6	5109	133
0	8083	122

Stop Event

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

Calls

Call 1

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

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

localize67.0ms (0.7%)

Memory

-18.4MiB live, 104.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 #s(literal 2 binary64) i)
accuracy	0.060878759768442016	(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
accuracy	12.741742726095207	(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))
accuracy	22.404280174717346	(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))

Samples

35.0ms	203×	0	valid
10.0ms	42×	1	valid
9.0ms	11×	2	valid

Compiler

Compiled 268 to 32 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-add: 30.0ms (71% of total)

ival-div: 5.0ms (11.8% of total)

ival-mult: 3.0ms (7.1% of total)

adjust: 2.0ms (4.7% of total)

ival-sub: 1.0ms (2.4% of total)

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

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

exact: 0.0ms (0% of total)

series75.0ms (0.7%)

Memory

-1.4MiB live, 76.5MiB allocated

Counts

6 → 142

Calls

Call 1

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

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

simplify359.0ms (3.5%)

Memory

16.1MiB live, 248.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	933	12651
1	3169	11026
0	8839	9914

Stop Event

1×	iter limit
1×	node limit

Counts

142 → 140

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

rewrite208.0ms (2%)

Memory

7.9MiB live, 245.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 305

Calls

Call 1

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

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

eval80.0ms (0.8%)

Memory: 12.2MiB live, 165.8MiB allocated
Compiler: Compiled 28 976 to 2 555 computations (91.2% saved)

prune33.0ms (0.3%)

Memory

6.5MiB live, 44.5MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	485	16	501
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	486	16	502

Accuracy

99.8%

Counts

502 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.6%	(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)) #s(literal 2 binary64))
	79.9%	(/.f64 (fma.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	44.0%	(/.f64 (+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (.f64 (neg.f64 alpha) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i 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))
	68.6%	(/.f64 (+.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	80.1%	(/.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))
	3.4%	(/.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))
	19.3%	(/.f64 #s(approx (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (/.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (/.f64 (.f64 (-.f64 (-.f64 #s(literal -2 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)) alpha) (-.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta)) (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta)) (.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta)))) alpha) (.f64 beta beta)) (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta)) (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta))))) (neg.f64 alpha)) #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 2 binary64))
	21.3%	(/.f64 #s(approx (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (/.f64 (-.f64 (+.f64 #s(literal 0 binary64) (/.f64 (.f64 beta beta) alpha)) (-.f64 (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) alpha))) (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)))) alpha)) #s(literal 2 binary64))
	23.8%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
	43.2%	#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)))
▶	18.6%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta) (.f64 (+.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))
▶	23.8%	#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)))
	66.6%	#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)))
	78.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.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))))
	33.3%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
▶	59.7%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))

Compiler

Compiled 1 562 to 722 computations (53.8% saved)

simplify189.0ms (1.8%)

Memory

5.5MiB live, 206.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))))) alpha))) alpha))
cost-diff	128	(-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)))))
cost-diff	128	(+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))
cost-diff	320	(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))))) alpha)))
cost-diff	0	(+.f64 beta alpha)
cost-diff	0	(/.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))))
cost-diff	0	(-.f64 beta alpha)
cost-diff	0	(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff	0	(/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) alpha)
cost-diff	0	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64)))
cost-diff	128	(+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))
cost-diff	512	(.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))
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	128	(+.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	49	717
0	81	706
1	180	706
2	541	704
3	2521	689
4	6568	689
0	8072	663

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

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

localize237.0ms (2.3%)

Memory

-9.7MiB live, 301.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	1.4454695049867394	(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))))) alpha))) alpha)
accuracy	5.20618006118137	(/.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))))) alpha)
accuracy	10.824129990698859	(-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)))))
accuracy	49.43033635240476	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))))) alpha))) alpha))
accuracy	0	(+.f64 beta alpha)
accuracy	0.015625	(*.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)))
accuracy	12.829867146678955	(fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64))
accuracy	19.855279461664885	(/.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))))
accuracy	0	(.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))
accuracy	0	(*.f64 #s(literal 2 binary64) beta)
accuracy	0.0078125	(/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) alpha)
accuracy	48.73650216700605	#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)))
accuracy	25.814679589581086	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))
accuracy	0.029628759768442016	(/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))
accuracy	0.046875	(/.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	2.0140838321901198	(*.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	12.741742726095207	(+.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

112.0ms	203×	0	valid
32.0ms	42×	1	valid
10.0ms	11×	2	valid

Compiler

Compiled 1 439 to 102 computations (92.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-mult: 22.0ms (30.7% of total)

ival-div: 20.0ms (27.9% of total)

ival-add: 19.0ms (26.5% of total)

adjust: 6.0ms (8.4% of total)

ival-sub: 4.0ms (5.6% of total)

exact: 1.0ms (1.4% of total)

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

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

series119.0ms (1.2%)

Memory

22.6MiB live, 214.7MiB allocated

Counts

22 → 332

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

Calls

9 calls:

Time	Variable		Point	Expression
19.0ms	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) (* (/ (+ (+ (* 4 i) (* 2 beta)) 2) alpha) 1/2) (+ (+ (* 4 i) (* 2 beta)) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (+ (+ (* 4 i) (* 2 beta)) 2) alpha) (/ (+ (* (- beta alpha) (/ (+ beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha))))) 1) 2) (- beta alpha) (/ (+ beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (* 1/2 (+ (+ (+ (* 4 i) (* 2 beta)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha))) (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (* 2 beta) (+ (* (- beta alpha) (/ (+ beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha))))) 1) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha))) (/ (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha) (/ (* 1/2 (+ (+ (+ (* 4 i) (* 2 beta)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha))) alpha))
15.0ms	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) (* (/ (+ (+ (* 4 i) (* 2 beta)) 2) alpha) 1/2) (+ (+ (* 4 i) (* 2 beta)) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (+ (+ (* 4 i) (* 2 beta)) 2) alpha) (/ (+ (* (- beta alpha) (/ (+ beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha))))) 1) 2) (- beta alpha) (/ (+ beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (* 1/2 (+ (+ (+ (* 4 i) (* 2 beta)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha))) (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (* 2 beta) (+ (* (- beta alpha) (/ (+ beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha))))) 1) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha))) (/ (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha) (/ (* 1/2 (+ (+ (+ (* 4 i) (* 2 beta)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha))) alpha))
14.0ms	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) (* (/ (+ (+ (* 4 i) (* 2 beta)) 2) alpha) 1/2) (+ (+ (* 4 i) (* 2 beta)) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (+ (+ (* 4 i) (* 2 beta)) 2) alpha) (/ (+ (* (- beta alpha) (/ (+ beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha))))) 1) 2) (- beta alpha) (/ (+ beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (* 1/2 (+ (+ (+ (* 4 i) (* 2 beta)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha))) (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (* 2 beta) (+ (* (- beta alpha) (/ (+ beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha))))) 1) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha))) (/ (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha) (/ (* 1/2 (+ (+ (+ (* 4 i) (* 2 beta)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha))) alpha))
13.0ms	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) (* (/ (+ (+ (* 4 i) (* 2 beta)) 2) alpha) 1/2) (+ (+ (* 4 i) (* 2 beta)) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (+ (+ (* 4 i) (* 2 beta)) 2) alpha) (/ (+ (* (- beta alpha) (/ (+ beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha))))) 1) 2) (- beta alpha) (/ (+ beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (* 1/2 (+ (+ (+ (* 4 i) (* 2 beta)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha))) (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (* 2 beta) (+ (* (- beta alpha) (/ (+ beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha))))) 1) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha))) (/ (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha) (/ (* 1/2 (+ (+ (+ (* 4 i) (* 2 beta)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha))) alpha))
12.0ms	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) (* (/ (+ (+ (* 4 i) (* 2 beta)) 2) alpha) 1/2) (+ (+ (* 4 i) (* 2 beta)) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (+ (+ (* 4 i) (* 2 beta)) 2) alpha) (/ (+ (* (- beta alpha) (/ (+ beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha))))) 1) 2) (- beta alpha) (/ (+ beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (* 1/2 (+ (+ (+ (* 4 i) (* 2 beta)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha))) (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (* 2 beta) (+ (* (- beta alpha) (/ (+ beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha))))) 1) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha))) (/ (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha) (/ (* 1/2 (+ (+ (+ (* 4 i) (* 2 beta)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha))) alpha))

simplify455.0ms (4.4%)

Memory

-48.1MiB live, 333.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1970	22168
1	6710	22168
0	8270	20047

Stop Event

1×	iter limit
1×	node limit

Counts

332 → 330

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

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

rewrite334.0ms (3.3%)

Memory

15.9MiB live, 278.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	535
0	81	489
1	456	489
2	4408	489
0	8529	477

Stop Event

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

Counts

22 → 663

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

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

eval327.0ms (3.2%)

Memory: 25.4MiB live, 421.0MiB allocated
Compiler: Compiled 80 449 to 7 039 computations (91.3% saved)

prune50.0ms (0.5%)

Memory

-25.7MiB live, 138.0MiB allocated

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	1 231	12	1 243
Fresh	2	9	11
Picked	4	1	5
Done	0	0	0
Total	1 237	22	1 259

Accuracy

99.9%

Counts

1 259 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.8%	(/.f64 (fma.f64 (-.f64 beta alpha) #s(approx (/ (+ beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
	44.0%	(/.f64 (+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (.f64 (neg.f64 alpha) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i 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))
	66.7%	(/.f64 (+.f64 (.f64 (+.f64 beta alpha) #s(approx (/ (/ (- beta alpha) (+ ( i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2)) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 alpha beta)))) #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))
	19.3%	(/.f64 #s(approx (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (/.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (/.f64 (.f64 (-.f64 (-.f64 #s(literal -2 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)) alpha) (-.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta)) (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta)) (.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta)))) alpha) (.f64 beta beta)) (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta)) (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta))))) (neg.f64 alpha)) #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 2 binary64))
	21.3%	(/.f64 #s(approx (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (/.f64 (-.f64 (+.f64 #s(literal 0 binary64) (/.f64 (.f64 beta beta) alpha)) (-.f64 (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) alpha))) (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)))) alpha)) #s(literal 2 binary64))
▶	79.9%	(*.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 1/2 binary64))
	79.7%	(exp.f64 (*.f64 (log.f64 (/.f64 #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 alpha beta) #s(literal 1 binary64)))) #s(literal -1 binary64)))
	23.8%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
	43.2%	#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)))
	18.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) #s(approx (+ (+ ( 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)))))) alpha))) alpha))
	20.2%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (/.f64 #s(approx (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) (.f64 (.f64 i i) #s(literal -12 binary64))) alpha))) alpha))
▶	22.2%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (/.f64 #s(approx (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) (.f64 #s(literal -2 binary64) (.f64 beta beta))) alpha))) alpha))
	19.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) #s(approx (/ (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha) (fma.f64 (fma.f64 #s(literal -2 binary64) (/.f64 beta alpha) (neg.f64 (/.f64 (.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) #s(literal 3 binary64)) alpha))) beta (neg.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)) i) #s(literal -2 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) #s(literal 2 binary64))) alpha)))))) alpha))
	19.4%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 #s(approx (+ (+ ( 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64)))
▶	66.6%	#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)))
	78.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.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))))
▶	4.3%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* 1/2 (+ (+ (+ (* 4 i) (* 2 beta)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha))) alpha) (.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (fma.f64 (/.f64 #s(literal 4 binary64) alpha) (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) alpha) (/.f64 (neg.f64 (fma.f64 (/.f64 i alpha) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) alpha))) alpha))) beta) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 alpha alpha)))) (*.f64 beta beta))))
	8.4%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (+ (* 4 i) (* 2 beta)) 2) alpha) 1/2) (/.f64 beta alpha)))
	10.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (+ (* 4 i) (* 2 beta)) 2) alpha) 1/2) (*.f64 (/.f64 i alpha) #s(literal 2 binary64))))
▶	33.3%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
✓	59.7%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))

Compiler

Compiled 2 635 to 1 267 computations (51.9% saved)

simplify364.0ms (3.6%)

Memory

1.0MiB live, 239.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* 1/2 (+ (+ (+ (* 4 i) (* 2 beta)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha))) alpha) (.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (fma.f64 (/.f64 #s(literal 4 binary64) alpha) (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) alpha) (/.f64 (neg.f64 (fma.f64 (/.f64 i alpha) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) alpha))) alpha))) beta) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 alpha alpha)))) (*.f64 beta beta))))
cost-diff	128	(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha)))
cost-diff	128	(neg.f64 (fma.f64 (/.f64 i alpha) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) alpha)))
cost-diff	576	(fma.f64 (/.f64 #s(literal 4 binary64) alpha) (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) alpha) (/.f64 (neg.f64 (fma.f64 (/.f64 i alpha) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) alpha))) alpha))
cost-diff	0	(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (/.f64 #s(approx (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) (.f64 #s(literal -2 binary64) (.f64 beta beta))) alpha))) alpha)
cost-diff	0	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (/.f64 #s(approx (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) (.f64 #s(literal -2 binary64) (.f64 beta beta))) alpha))) alpha))
cost-diff	128	(+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))
cost-diff	320	(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (/.f64 #s(approx (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) (.f64 #s(literal -2 binary64) (.f64 beta beta))) alpha)))
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	128	(*.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 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))
cost-diff	0	(/.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)))
cost-diff	0	(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))
cost-diff	0	(*.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 1/2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	1021
0	120	1008
1	271	1004
2	743	1004
3	2758	987
4	7592	987
0	9009	921

Stop Event

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

Calls

Call 1

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

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

localize237.0ms (2.3%)

Memory

27.1MiB live, 235.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	20.831112058577407	(.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (fma.f64 (/.f64 #s(literal 4 binary64) alpha) (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) alpha) (/.f64 (neg.f64 (fma.f64 (/.f64 i alpha) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) alpha))) alpha))) beta) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 alpha alpha)))) (*.f64 beta beta))
accuracy	22.717037230928902	(fma.f64 (/.f64 #s(literal 4 binary64) alpha) (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) alpha) (/.f64 (neg.f64 (fma.f64 (/.f64 i alpha) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) alpha))) alpha))
accuracy	37.945683630533225	#s(approx (/ (* 1/2 (+ (+ (+ (* 4 i) (* 2 beta)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha))) alpha) (.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (fma.f64 (/.f64 #s(literal 4 binary64) alpha) (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) alpha) (/.f64 (neg.f64 (fma.f64 (/.f64 i alpha) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) alpha))) alpha))) beta) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 alpha alpha)))) (*.f64 beta beta)))
accuracy	49.43033635240476	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* 1/2 (+ (+ (+ (* 4 i) (* 2 beta)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha))) alpha) (.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (fma.f64 (/.f64 #s(literal 4 binary64) alpha) (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) alpha) (/.f64 (neg.f64 (fma.f64 (/.f64 i alpha) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) alpha))) alpha))) beta) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 alpha alpha)))) (*.f64 beta beta))))
accuracy	1.4454695049867394	(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (/.f64 #s(approx (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) (.f64 #s(literal -2 binary64) (.f64 beta beta))) alpha))) alpha)
accuracy	5.20618006118137	(/.f64 #s(approx (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) (.f64 #s(literal -2 binary64) (.f64 beta beta))) alpha)
accuracy	43.32461186085762	#s(approx (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) (.f64 #s(literal -2 binary64) (.f64 beta beta)))
accuracy	49.43033635240476	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (/.f64 #s(approx (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) (.f64 #s(literal -2 binary64) (.f64 beta beta))) alpha))) alpha))
accuracy	0	(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
accuracy	0.014003759768442016	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))
accuracy	12.57390201120409	#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	17.795037455241506	(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))))
accuracy	42.701537631690485	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
accuracy	0	(*.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 1/2 binary64))
accuracy	0.029628759768442016	(/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))
accuracy	0.046875	(/.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)))
accuracy	12.827786376130268	(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))

Samples

99.0ms	182×	0	valid
51.0ms	51×	1	valid
37.0ms	23×	2	valid

Compiler

Compiled 1 879 to 149 computations (92.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 137.0ms

ival-div: 53.0ms (38.5% of total)

ival-mult: 37.0ms (26.9% of total)

ival-add: 26.0ms (18.9% of total)

adjust: 13.0ms (9.5% of total)

ival-sub: 6.0ms (4.4% of total)

ival-neg: 2.0ms (1.5% of total)

exact: 1.0ms (0.7% of total)

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

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

series128.0ms (1.2%)

Memory

-1.8MiB live, 110.7MiB allocated

Counts

21 → 301

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
29.0ms	beta	@	0	((* (+ (* (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ alpha beta)) 1) 1/2) (+ (* (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ alpha beta)) 1) (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2)) (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (/ (+ (/ (/ (* (+ 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)) (* 1/2 (+ (+ (+ (* 4 i) (* 2 beta)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha))) (+ (+ (* 4 i) (* 2 beta)) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (* 1/2 (+ (+ (+ (* 4 i) (* 2 beta)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha))) alpha) (+ (* (/ 4 alpha) (/ (+ (* 4 i) 2) alpha)) (/ (neg (+ (* (/ i alpha) 4) (/ 2 alpha))) alpha)) (neg (+ (* (/ i alpha) 4) (/ 2 alpha))) (neg (/ 1 (* alpha alpha))) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) (/ (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha) (/ (* 1/2 (+ (+ (+ (* 4 i) (* 2 beta)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha))) alpha) (* (+ (* (/ (- (/ 2 alpha) (+ (* (/ 4 alpha) (/ (+ (* 4 i) 2) alpha)) (/ (neg (+ (* (/ i alpha) 4) (/ 2 alpha))) alpha))) beta) 1/2) (neg (/ 1 (* alpha alpha)))) (* beta beta)))
28.0ms	i	@	0	((* (+ (* (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ alpha beta)) 1) 1/2) (+ (* (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ alpha beta)) 1) (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2)) (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (/ (+ (/ (/ (* (+ 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)) (* 1/2 (+ (+ (+ (* 4 i) (* 2 beta)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha))) (+ (+ (* 4 i) (* 2 beta)) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (* 1/2 (+ (+ (+ (* 4 i) (* 2 beta)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha))) alpha) (+ (* (/ 4 alpha) (/ (+ (* 4 i) 2) alpha)) (/ (neg (+ (* (/ i alpha) 4) (/ 2 alpha))) alpha)) (neg (+ (* (/ i alpha) 4) (/ 2 alpha))) (neg (/ 1 (* alpha alpha))) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) (/ (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha) (/ (* 1/2 (+ (+ (+ (* 4 i) (* 2 beta)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha))) alpha) (* (+ (* (/ (- (/ 2 alpha) (+ (* (/ 4 alpha) (/ (+ (* 4 i) 2) alpha)) (/ (neg (+ (* (/ i alpha) 4) (/ 2 alpha))) alpha))) beta) 1/2) (neg (/ 1 (* alpha alpha)))) (* beta beta)))
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simplify359.0ms (3.5%)

Memory

-8.8MiB live, 282.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1926	17389
1	6424	16881
0	8221	15447

Stop Event

1×	iter limit
1×	node limit

Counts

301 → 301

Calls

Call 1

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

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

rewrite312.0ms (3%)

Memory

-1.5MiB live, 80.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	759
0	120	698
1	639	684
2	6903	684
0	8003	646

Stop Event

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

Counts

21 → 407

Calls

Call 1

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

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

eval191.0ms (1.9%)

Memory: 13.2MiB live, 123.9MiB allocated
Compiler: Compiled 64 122 to 4 648 computations (92.8% saved)

prune74.0ms (0.7%)

Memory

-3.5MiB live, 43.0MiB allocated

Pruning

24 alts after pruning (22 fresh and 2 done)

	Pruned	Kept	Total
New	693	12	705
Fresh	6	10	16
Picked	4	1	5
Done	0	1	1
Total	703	24	727

Accuracy

99.9%

Counts

727 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.8%	(/.f64 (fma.f64 (-.f64 beta alpha) #s(approx (/ (+ beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #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))
	19.3%	(/.f64 #s(approx (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (/.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (/.f64 (.f64 (-.f64 (-.f64 #s(literal -2 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)) alpha) (-.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta)) (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta)) (.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta)))) alpha) (.f64 beta beta)) (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta)) (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta))))) (neg.f64 alpha)) #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 2 binary64))
	21.3%	(/.f64 #s(approx (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (/.f64 (-.f64 (+.f64 #s(literal 0 binary64) (/.f64 (.f64 beta beta) alpha)) (-.f64 (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) alpha))) (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)))) alpha)) #s(literal 2 binary64))
▶	78.1%	(.f64 #s(approx (+ ( (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ alpha beta)) 1) (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))
	66.6%	#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)))
	23.8%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
	43.2%	#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)))
	18.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) #s(approx (+ (+ ( 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)))))) alpha))) alpha))
▶	20.2%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (/.f64 #s(approx (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) (.f64 (.f64 i i) #s(literal -12 binary64))) alpha))) alpha))
	19.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) #s(approx (/ (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha) (fma.f64 (fma.f64 (/.f64 beta alpha) #s(literal -2 binary64) (neg.f64 (/.f64 (.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) #s(literal 3 binary64)) alpha))) beta (neg.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)) i) #s(literal -2 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) #s(literal 2 binary64))) alpha)))))) alpha))
	6.5%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (+ (+ ( 4 i) (* 2 beta)) 2) (.f64 #s(literal 2 binary64) beta)) (/.f64 #s(approx (- ( beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) (.f64 #s(literal -2 binary64) (.f64 beta beta))) alpha))) alpha))
▶	19.4%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 #s(approx (+ (+ ( 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64)))
	67.4%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
	51.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 beta beta (.f64 (neg.f64 alpha) alpha)) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha beta)))) #s(literal 1/2 binary64)))
▶	66.6%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha)))) #s(literal 1/2 binary64)))
	72.7%	#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)))
	50.7%	#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)))
	4.5%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* 1/2 (+ (+ (+ (* 4 i) (* 2 beta)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha))) alpha) (.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(approx (+ ( (/ 4 alpha) (/ (+ (* 4 i) 2) alpha)) (/ (neg (+ (* (/ i alpha) 4) (/ 2 alpha))) alpha)) (/.f64 #s(literal 6 binary64) (.f64 alpha alpha)))) beta) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 alpha alpha)))) (*.f64 beta beta))))
▶	8.4%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* 1/2 (+ (+ (+ (* 4 i) (* 2 beta)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha))) alpha) #s(approx (* (+ (* (/ (- (/ 2 alpha) (+ (* (/ 4 alpha) (/ (+ (* 4 i) 2) alpha)) (/ (neg (+ (* (/ i alpha) 4) (/ 2 alpha))) alpha))) beta) 1/2) (neg (/ 1 (* alpha alpha)))) (* beta beta)) (/.f64 beta alpha))))
	10.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (+ (* 4 i) (* 2 beta)) 2) alpha) 1/2) (*.f64 (/.f64 i alpha) #s(literal 2 binary64))))
	24.7%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓	33.3%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
✓	59.7%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))

Compiler

Compiled 3 110 to 1 480 computations (52.4% saved)

simplify259.0ms (2.5%)

Memory

-17.0MiB live, 141.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (/.f64 #s(approx (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) (.f64 (.f64 i i) #s(literal -12 binary64))) alpha))) alpha)
cost-diff	0	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (/.f64 #s(approx (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) (.f64 (.f64 i i) #s(literal -12 binary64))) alpha))) alpha))
cost-diff	128	(+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))
cost-diff	320	(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (/.f64 #s(approx (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) (.f64 (.f64 i i) #s(literal -12 binary64))) alpha)))
cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha))))
cost-diff	0	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha)))) #s(literal 1/2 binary64)))
cost-diff	128	(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha)))) #s(literal 1/2 binary64))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha)))
cost-diff	0	#s(approx (+ (+ (* 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(approx (+ (+ (* 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))) alpha)
cost-diff	0	(.f64 (/.f64 #s(approx (+ (+ ( 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 #s(approx (+ (+ ( 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64)))
cost-diff	0	(/.f64 beta alpha)
cost-diff	0	#s(approx (* (+ (* (/ (- (/ 2 alpha) (+ (* (/ 4 alpha) (/ (+ (* 4 i) 2) alpha)) (/ (neg (+ (* (/ i alpha) 4) (/ 2 alpha))) alpha))) beta) 1/2) (neg (/ 1 (* alpha alpha)))) (* beta beta)) (/.f64 beta alpha))
cost-diff	0	#s(approx (/ (* 1/2 (+ (+ (+ (* 4 i) (* 2 beta)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha))) alpha) #s(approx (* (+ (* (/ (- (/ 2 alpha) (+ (* (/ 4 alpha) (/ (+ (* 4 i) 2) alpha)) (/ (neg (+ (* (/ i alpha) 4) (/ 2 alpha))) alpha))) beta) 1/2) (neg (/ 1 (* alpha alpha)))) (* beta beta)) (/.f64 beta alpha)))
cost-diff	0	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* 1/2 (+ (+ (+ (* 4 i) (* 2 beta)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha))) alpha) #s(approx (* (+ (* (/ (- (/ 2 alpha) (+ (* (/ 4 alpha) (/ (+ (* 4 i) 2) alpha)) (/ (neg (+ (* (/ i alpha) 4) (/ 2 alpha))) alpha))) beta) 1/2) (neg (/ 1 (* alpha alpha)))) (* beta beta)) (/.f64 beta alpha))))
cost-diff	0	(/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))
cost-diff	0	(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))
cost-diff	0	#s(approx (+ (* (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ alpha beta)) 1) (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)))
cost-diff	0	(.f64 #s(approx (+ ( (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ alpha beta)) 1) (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))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	968
0	123	953
1	281	950
2	762	942
3	2721	925
4	7476	925
0	8901	869

Stop Event

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

Calls

Call 1

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

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

localize324.0ms (3.2%)

Memory

18.3MiB live, 292.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.4454695049867394	(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (/.f64 #s(approx (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) (.f64 (.f64 i i) #s(literal -12 binary64))) alpha))) alpha)
accuracy	5.20618006118137	(/.f64 #s(approx (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) (.f64 (.f64 i i) #s(literal -12 binary64))) alpha)
accuracy	37.3994116178991	#s(approx (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) (.f64 (.f64 i i) #s(literal -12 binary64)))
accuracy	49.43033635240476	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (/.f64 #s(approx (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) (.f64 (.f64 i i) #s(literal -12 binary64))) alpha))) alpha))
accuracy	0.02734375	(/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha))
accuracy	0.1328125	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha)))
accuracy	12.57390201120409	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha)))) #s(literal 1/2 binary64)))
accuracy	17.795037455241506	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha))))
accuracy	0	(.f64 (/.f64 #s(approx (+ (+ ( 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64))
accuracy	0.0078125	(/.f64 #s(approx (+ (+ (* 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))) alpha)
accuracy	17.47758712709466	#s(approx (+ (+ (* 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)))
accuracy	48.73650216700605	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 #s(approx (+ (+ ( 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64)))
accuracy	0	(/.f64 beta alpha)
accuracy	37.945683630533225	#s(approx (/ (* 1/2 (+ (+ (+ (* 4 i) (* 2 beta)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha))) alpha) #s(approx (* (+ (* (/ (- (/ 2 alpha) (+ (* (/ 4 alpha) (/ (+ (* 4 i) 2) alpha)) (/ (neg (+ (* (/ i alpha) 4) (/ 2 alpha))) alpha))) beta) 1/2) (neg (/ 1 (* alpha alpha)))) (* beta beta)) (/.f64 beta alpha)))
accuracy	45.08996956177343	#s(approx (* (+ (* (/ (- (/ 2 alpha) (+ (* (/ 4 alpha) (/ (+ (* 4 i) 2) alpha)) (/ (neg (+ (* (/ i alpha) 4) (/ 2 alpha))) alpha))) beta) 1/2) (neg (/ 1 (* alpha alpha)))) (* beta beta)) (/.f64 beta alpha))
accuracy	49.43033635240476	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* 1/2 (+ (+ (+ (* 4 i) (* 2 beta)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha))) alpha) #s(approx (* (+ (* (/ (- (/ 2 alpha) (+ (* (/ 4 alpha) (/ (+ (* 4 i) 2) alpha)) (/ (neg (+ (* (/ i alpha) 4) (/ 2 alpha))) alpha))) beta) 1/2) (neg (/ 1 (* alpha alpha)))) (* beta beta)) (/.f64 beta alpha))))
accuracy	0.01171875	(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))
accuracy	0.01171875	(/.f64 beta (fma.f64 #s(literal 2 binary64) i beta))
accuracy	0.0234375	(/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))
accuracy	14.00834775449587	#s(approx (+ (* (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ alpha beta)) 1) (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)))

Samples

99.0ms	51×	1	valid
77.0ms	182×	0	valid
44.0ms	23×	2	valid

Compiler

Compiled 1 706 to 175 computations (89.7% saved)

Precisions

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

ival-div: 61.0ms (35.3% of total)

ival-add: 56.0ms (32.4% of total)

ival-mult: 32.0ms (18.5% of total)

adjust: 13.0ms (7.5% of total)

ival-sub: 6.0ms (3.5% of total)

ival-neg: 2.0ms (1.2% of total)

exact: 1.0ms (0.6% of total)

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

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

series70.0ms (0.7%)

Memory

-21.1MiB live, 100.5MiB allocated

Counts

24 → 312

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
11.0ms	alpha	@	0	((* (+ (* (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ alpha beta)) 1) 1/2) (+ (* (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ alpha beta)) 1) (+ (* (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) (/ beta (+ (+ (* 2 i) beta) 2)) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (* 1/2 (+ (+ (+ (* 4 i) (* 2 beta)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha))) alpha) (* (+ (* (/ (- (/ 2 alpha) (+ (* (/ 4 alpha) (/ (+ (* 4 i) 2) alpha)) (/ (neg (+ (* (/ i alpha) 4) (/ 2 alpha))) alpha))) beta) 1/2) (neg (/ 1 (* alpha alpha)))) (* beta beta)) (/ beta alpha) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (+ (+ (* 4 i) (* 2 beta)) 2) alpha) 1/2) (/ (+ (+ (* 4 i) (* 2 beta)) 2) alpha) (+ (+ (* 4 i) (* 2 beta)) 2) (/ 1 (/ (+ (+ alpha beta) 2) (- beta alpha))) (* (+ 1 (/ 1 (/ (+ (+ alpha beta) 2) (- beta alpha)))) 1/2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ 1 (/ 1 (/ (+ (+ alpha beta) 2) (- beta alpha)))) (* 1/2 (+ (+ (+ (* 4 i) (* 2 beta)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha))) (+ (+ (* 4 i) (* 2 beta)) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (* 1/2 (+ (+ (+ (* 4 i) (* 2 beta)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha))) alpha) (/ beta (+ (* 2 i) beta)) (/ (+ (+ alpha beta) 2) (- beta alpha)) (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) (/ (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha))
8.0ms	beta	@	inf	((* (+ (* (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ alpha beta)) 1) 1/2) (+ (* (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ alpha beta)) 1) (+ (* (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) (/ beta (+ (+ (* 2 i) beta) 2)) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (* 1/2 (+ (+ (+ (* 4 i) (* 2 beta)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha))) alpha) (* (+ (* (/ (- (/ 2 alpha) (+ (* (/ 4 alpha) (/ (+ (* 4 i) 2) alpha)) (/ (neg (+ (* (/ i alpha) 4) (/ 2 alpha))) alpha))) beta) 1/2) (neg (/ 1 (* alpha alpha)))) (* beta beta)) (/ beta alpha) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (+ (+ (* 4 i) (* 2 beta)) 2) alpha) 1/2) (/ (+ (+ (* 4 i) (* 2 beta)) 2) alpha) (+ (+ (* 4 i) (* 2 beta)) 2) (/ 1 (/ (+ (+ alpha beta) 2) (- beta alpha))) (* (+ 1 (/ 1 (/ (+ (+ alpha beta) 2) (- beta alpha)))) 1/2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ 1 (/ 1 (/ (+ (+ alpha beta) 2) (- beta alpha)))) (* 1/2 (+ (+ (+ (* 4 i) (* 2 beta)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha))) (+ (+ (* 4 i) (* 2 beta)) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (* 1/2 (+ (+ (+ (* 4 i) (* 2 beta)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha))) alpha) (/ beta (+ (* 2 i) beta)) (/ (+ (+ alpha beta) 2) (- beta alpha)) (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) (/ (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha))
7.0ms	beta	@	0	((* (+ (* (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ alpha beta)) 1) 1/2) (+ (* (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ alpha beta)) 1) (+ (* (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) (/ beta (+ (+ (* 2 i) beta) 2)) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (* 1/2 (+ (+ (+ (* 4 i) (* 2 beta)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha))) alpha) (* (+ (* (/ (- (/ 2 alpha) (+ (* (/ 4 alpha) (/ (+ (* 4 i) 2) alpha)) (/ (neg (+ (* (/ i alpha) 4) (/ 2 alpha))) alpha))) beta) 1/2) (neg (/ 1 (* alpha alpha)))) (* beta beta)) (/ beta alpha) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (+ (+ (* 4 i) (* 2 beta)) 2) alpha) 1/2) (/ (+ (+ (* 4 i) (* 2 beta)) 2) alpha) (+ (+ (* 4 i) (* 2 beta)) 2) (/ 1 (/ (+ (+ alpha beta) 2) (- beta alpha))) (* (+ 1 (/ 1 (/ (+ (+ alpha beta) 2) (- beta alpha)))) 1/2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ 1 (/ 1 (/ (+ (+ alpha beta) 2) (- beta alpha)))) (* 1/2 (+ (+ (+ (* 4 i) (* 2 beta)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha))) (+ (+ (* 4 i) (* 2 beta)) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (* 1/2 (+ (+ (+ (* 4 i) (* 2 beta)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha))) alpha) (/ beta (+ (* 2 i) beta)) (/ (+ (+ alpha beta) 2) (- beta alpha)) (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) (/ (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha))
6.0ms	alpha	@	-inf	((* (+ (* (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ alpha beta)) 1) 1/2) (+ (* (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ alpha beta)) 1) (+ (* (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) (/ beta (+ (+ (* 2 i) beta) 2)) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (* 1/2 (+ (+ (+ (* 4 i) (* 2 beta)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha))) alpha) (* (+ (* (/ (- (/ 2 alpha) (+ (* (/ 4 alpha) (/ (+ (* 4 i) 2) alpha)) (/ (neg (+ (* (/ i alpha) 4) (/ 2 alpha))) alpha))) beta) 1/2) (neg (/ 1 (* alpha alpha)))) (* beta beta)) (/ beta alpha) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (+ (+ (* 4 i) (* 2 beta)) 2) alpha) 1/2) (/ (+ (+ (* 4 i) (* 2 beta)) 2) alpha) (+ (+ (* 4 i) (* 2 beta)) 2) (/ 1 (/ (+ (+ alpha beta) 2) (- beta alpha))) (* (+ 1 (/ 1 (/ (+ (+ alpha beta) 2) (- beta alpha)))) 1/2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ 1 (/ 1 (/ (+ (+ alpha beta) 2) (- beta alpha)))) (* 1/2 (+ (+ (+ (* 4 i) (* 2 beta)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha))) (+ (+ (* 4 i) (* 2 beta)) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (* 1/2 (+ (+ (+ (* 4 i) (* 2 beta)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha))) alpha) (/ beta (+ (* 2 i) beta)) (/ (+ (+ alpha beta) 2) (- beta alpha)) (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) (/ (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha))
6.0ms	beta	@	-inf	((* (+ (* (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ alpha beta)) 1) 1/2) (+ (* (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ alpha beta)) 1) (+ (* (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) (/ beta (+ (+ (* 2 i) beta) 2)) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (* 1/2 (+ (+ (+ (* 4 i) (* 2 beta)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha))) alpha) (* (+ (* (/ (- (/ 2 alpha) (+ (* (/ 4 alpha) (/ (+ (* 4 i) 2) alpha)) (/ (neg (+ (* (/ i alpha) 4) (/ 2 alpha))) alpha))) beta) 1/2) (neg (/ 1 (* alpha alpha)))) (* beta beta)) (/ beta alpha) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (+ (+ (* 4 i) (* 2 beta)) 2) alpha) 1/2) (/ (+ (+ (* 4 i) (* 2 beta)) 2) alpha) (+ (+ (* 4 i) (* 2 beta)) 2) (/ 1 (/ (+ (+ alpha beta) 2) (- beta alpha))) (* (+ 1 (/ 1 (/ (+ (+ alpha beta) 2) (- beta alpha)))) 1/2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ 1 (/ 1 (/ (+ (+ alpha beta) 2) (- beta alpha)))) (* 1/2 (+ (+ (+ (* 4 i) (* 2 beta)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha))) (+ (+ (* 4 i) (* 2 beta)) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (* 1/2 (+ (+ (+ (* 4 i) (* 2 beta)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha))) alpha) (/ beta (+ (* 2 i) beta)) (/ (+ (+ alpha beta) 2) (- beta alpha)) (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) (/ (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha))

simplify270.0ms (2.6%)

Memory

16.7MiB live, 327.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1944	15578
1	6528	15150
0	8215	13929

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

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

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

rewrite200.0ms (2%)

Memory

4.8MiB live, 205.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	852
0	123	788
1	684	765
2	7246	765
0	8183	730

Stop Event

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

Counts

24 → 284

Calls

Call 1

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

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

eval120.0ms (1.2%)

Memory: 1.5MiB live, 276.5MiB allocated
Compiler: Compiled 50 975 to 3 869 computations (92.4% saved)

prune45.0ms (0.4%)

Memory

5.3MiB live, 130.3MiB allocated

Pruning

26 alts after pruning (21 fresh and 5 done)

	Pruned	Kept	Total
New	585	8	593
Fresh	4	13	17
Picked	2	3	5
Done	0	2	2
Total	591	26	617

Accuracy

99.9%

Counts

617 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	19.3%	(/.f64 #s(approx (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (/.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (/.f64 (.f64 (-.f64 (-.f64 #s(literal -2 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)) alpha) (-.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta)) (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta)) (.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta)))) alpha) (.f64 beta beta)) (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta)) (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta))))) (neg.f64 alpha)) #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 2 binary64))
	21.3%	(/.f64 #s(approx (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (/.f64 (-.f64 (+.f64 #s(literal 0 binary64) (/.f64 (.f64 beta beta) alpha)) (-.f64 (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) alpha))) (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)))) alpha)) #s(literal 2 binary64))
✓	78.1%	(.f64 #s(approx (+ ( (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ alpha beta)) 1) (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))
	67.5%	(.f64 #s(approx (+ ( (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ alpha beta)) 1) (fma.f64 beta (/.f64 beta (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) beta))) #s(literal 1 binary64))) #s(literal 1/2 binary64))
	47.1%	(.f64 #s(approx (+ ( (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ alpha beta)) 1) #s(approx (+ (* (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) (fma.f64 (/.f64 #s(literal 1/4 binary64) i) (/.f64 (*.f64 beta beta) i) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
	24.2%	(.f64 #s(approx (+ ( (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ alpha beta)) 1) #s(approx (+ (* (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) (-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta)))) #s(literal 1/2 binary64))
	66.6%	#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)))
	43.2%	#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)))
	20.2%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 (+.f64 (/.f64 #s(approx (- ( beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) (.f64 #s(literal -12 binary64) (.f64 i i))) alpha) (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) #s(literal 1/2 binary64)) alpha))
	18.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta) (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) #s(approx (+ (+ ( 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)))))) alpha))) alpha))
	19.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) #s(approx (/ (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha) (fma.f64 (fma.f64 (/.f64 beta alpha) #s(literal -2 binary64) (neg.f64 (/.f64 (.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) #s(literal 3 binary64)) alpha))) beta (neg.f64 (/.f64 (fma.f64 (.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) i) #s(literal -2 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) #s(literal 2 binary64))) alpha)))))) alpha))
	6.5%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (+ (+ ( 4 i) (* 2 beta)) 2) (.f64 #s(literal 2 binary64) beta)) (/.f64 #s(approx (- ( beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) (.f64 #s(literal -2 binary64) (.f64 beta beta))) alpha))) alpha))
	66.8%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (neg.f64 (-.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
✓	19.4%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 #s(approx (+ (+ ( 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64)))
	67.4%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
	51.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 beta beta (.f64 (neg.f64 alpha) alpha)) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha beta)))) #s(literal 1/2 binary64)))
	66.7%	#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 #s(literal 1 binary64) (neg.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (neg.f64 (-.f64 beta alpha)))) #s(literal 1/2 binary64)))
	72.7%	#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)))
	3.4%	#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 (/ 1 (/ (+ (+ alpha beta) 2) (- beta alpha))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
	50.7%	#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)))
	4.5%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* 1/2 (+ (+ (+ (* 4 i) (* 2 beta)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha))) alpha) (.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(approx (+ ( (/ 4 alpha) (/ (+ (* 4 i) 2) alpha)) (/ (neg (+ (* (/ i alpha) 4) (/ 2 alpha))) alpha)) (/.f64 #s(literal 6 binary64) (.f64 alpha alpha)))) beta) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 alpha alpha)))) (*.f64 beta beta))))
✓	8.4%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* 1/2 (+ (+ (+ (* 4 i) (* 2 beta)) 2) (/ (- (* beta beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha))) alpha) #s(approx (* (+ (* (/ (- (/ 2 alpha) (+ (* (/ 4 alpha) (/ (+ (* 4 i) 2) alpha)) (/ (neg (+ (* (/ i alpha) 4) (/ 2 alpha))) alpha))) beta) 1/2) (neg (/ 1 (* alpha alpha)))) (* beta beta)) (/.f64 beta alpha))))
	10.1%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (+ (* 4 i) (* 2 beta)) 2) alpha) 1/2) (*.f64 (/.f64 i alpha) #s(literal 2 binary64))))
	24.7%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ 1 (/ (- beta alpha) (+ (+ beta alpha) 2))) 1/2) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓	33.3%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
✓	59.7%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))

Compiler

Compiled 4 686 to 1 231 computations (73.7% saved)

regimes106.0ms (1%)

Memory

-22.7MiB live, 220.5MiB allocated

Counts

49 → 2

Calls

Call 1

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

Calls

7 calls:

18.0ms	(+.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))
16.0ms	(*.f64 #s(literal 2 binary64) i)
15.0ms	i
15.0ms	alpha
15.0ms	beta

Results

Accuracy	Segments	Branch
91.2%	2	`alpha`
80.1%	1	`beta`
80.1%	1	`i`
97.4%	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))`
97.4%	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))`
97.4%	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)))`
80.1%	1	`(*.f64 #s(literal 2 binary64) i)`

Compiler

Compiled 87 to 55 computations (36.8% saved)

regimes28.0ms (0.3%)

Memory

18.5MiB live, 60.9MiB allocated

Counts

32 → 2

Calls

Call 1

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

Calls

3 calls:

9.0ms

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

8.0ms

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

8.0ms

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

Results

Accuracy	Segments	Branch
96.4%	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))`
96.4%	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))`
96.4%	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)))`

Compiler

Compiled 81 to 41 computations (49.4% saved)

regimes23.0ms (0.2%)

Memory

-22.7MiB live, 56.0MiB allocated

Counts

26 → 3

Calls

Call 1

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

Outputs

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

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 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #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
94.8%	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))`
94.8%	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))`
94.8%	3	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`

Compiler

Compiled 81 to 41 computations (49.4% saved)

regimes20.0ms (0.2%)

Memory

11.4MiB live, 50.9MiB allocated

Counts

22 → 3

Calls

Call 1

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

Outputs

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

6.0ms

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

Results

Accuracy	Segments	Branch
94.6%	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))`
94.6%	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))`
94.6%	3	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`

Compiler

Compiled 81 to 41 computations (49.4% saved)

regimes19.0ms (0.2%)

Memory

-0.3MiB live, 41.5MiB allocated

Counts

20 → 3

Calls

Call 1

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

Outputs

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

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

Results

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

Compiler

Compiled 81 to 41 computations (49.4% saved)

regimes16.0ms (0.2%)

Memory

-2.0MiB live, 37.1MiB allocated

Counts

16 → 3

Calls

Call 1

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

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:

6.0ms

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

5.0ms

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

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

Compiler

Compiled 81 to 41 computations (49.4% saved)

regimes19.0ms (0.2%)

Memory

10.4MiB live, 49.8MiB allocated

Counts

14 → 3

Calls

Call 1

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

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

4 calls:

5.0ms	(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))
5.0ms	alpha
4.0ms	(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
4.0ms	(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #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
81.1%	2	`alpha`
90.0%	3	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
90.0%	3	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
90.0%	3	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`

Compiler

Compiled 82 to 44 computations (46.3% saved)

regimes29.0ms (0.3%)

Memory

-13.5MiB live, 25.8MiB allocated

Counts

12 → 3

Calls

Call 1

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

Outputs

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

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

20.0ms

(+.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
89.4%	3	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
89.4%	3	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
89.4%	3	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`

Compiler

Compiled 81 to 41 computations (49.4% saved)

regimes39.0ms (0.4%)

Memory

5.5MiB live, 47.3MiB allocated

Counts

9 → 3

Calls

Call 1

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

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

19.0ms	i
3.0ms	(*.f64 #s(literal 2 binary64) i)
3.0ms	alpha
3.0ms	beta
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)))

Results

Accuracy	Segments	Branch
76.8%	2	`alpha`
72.7%	1	`beta`
76.4%	2	`i`
76.4%	2	`(*.f64 #s(literal 2 binary64) i)`
79.9%	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))`
79.9%	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))`
79.9%	3	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`

Compiler

Compiled 87 to 55 computations (36.8% saved)

regimes9.0ms (0.1%)

Memory

18.8MiB live, 18.8MiB allocated

Counts

8 → 3

Calls

Call 1

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

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

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

Calls

3 calls:

3.0ms

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

3.0ms

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

3.0ms

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

Results

Accuracy	Segments	Branch
79.6%	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))`
79.6%	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))`
79.6%	3	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`

Compiler

Compiled 81 to 41 computations (49.4% saved)

regimes38.0ms (0.4%)

Memory

-6.7MiB live, 33.1MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

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

Calls

6 calls:

25.0ms	(/.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 #s(literal 2 binary64) i)
3.0ms	i
3.0ms	alpha
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
59.7%	1	`i`
59.7%	1	`(*.f64 #s(literal 2 binary64) i)`
62.5%	2	`alpha`
77.9%	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))`
77.9%	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))`
77.9%	3	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`

Compiler

Compiled 86 to 52 computations (39.5% saved)

regimes15.0ms (0.2%)

Memory

-27.7MiB live, 12.0MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

Calls

3 calls:

11.0ms

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

2.0ms

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

Results

Accuracy	Segments	Branch
75.4%	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))`
75.4%	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))`
75.4%	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)))`

Compiler

Compiled 81 to 41 computations (49.4% saved)

regimes7.0ms (0.1%)

Memory

16.1MiB live, 16.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

1.0ms	alpha
1.0ms	beta
1.0ms	(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
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
59.7%	1	`alpha`
59.7%	1	`beta`
59.7%	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))`
59.7%	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))`
59.7%	1	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`

Compiler

Compiled 83 to 47 computations (43.4% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999969892729	-0.9999972610575596

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9984473227706498	-0.00017643268171788767

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.5300578037919025e-11	0.0008401143140279665
0.0ms	-0.9984473227706498	-0.00017643268171788767

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.5300578037919025e-11	0.0008401143140279665
0.0ms	-0.9984473227706498	-0.00017643268171788767

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.5300578037919025e-11	0.0008401143140279665
0.0ms	-0.9984473227706498	-0.00017643268171788767

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.5300578037919025e-11	0.0008401143140279665
0.0ms	-0.9984473227706498	-0.00017643268171788767

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.5300578037919025e-11	0.0008401143140279665
0.0ms	-0.9999999969892729	-0.9999972610575596

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.5300578037919025e-11	0.0008401143140279665
0.0ms	-0.9999999969892729	-0.9999972610575596

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.5300578037919025e-11	0.0008401143140279665
0.0ms	-0.9999999999998764	-0.9999999969892729

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0008401143140279665	0.9999823793763184
0.0ms	-0.9999999999998764	-0.9999999969892729

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0008401143140279665	0.9999823793763184
0.0ms	-0.9984473227706498	-0.00017643268171788767

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch34.0ms (0.3%)

Memory

-21.4MiB live, 18.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
33.0ms	0.0008401143140279665	0.9999823793763184

Samples

4.0ms

128×

valid

Compiler

Compiled 528 to 310 computations (41.3% saved)

Precisions

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

ival-div: 1.0ms (63.3% of total)

ival-add: 1.0ms (63.3% of total)

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

exact: 0.0ms (0% of total)

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

simplify106.0ms (1%)

Memory

-1.4MiB live, 81.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	130	1922
1	169	1922
2	191	1922
3	215	1920
4	253	1920
5	350	1920
6	470	1920
7	587	1920
8	718	1920
9	822	1920
10	950	1920
11	1093	1920
12	1234	1920
13	1347	1920
14	1409	1920
15	1430	1920
16	1436	1920
17	1437	1920

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -9007181240342483/9007199254740992 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (/.f64 (/.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 1/2 binary64)))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 (+.f64 (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 #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)))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 (+.f64 (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 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 6189700196426901/309485009821345068724781056 binary64)) (.f64 #s(approx (+ (* (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2)) (+ alpha beta)) 1) (fma.f64 beta (/.f64 beta (.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) beta))) #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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha)))) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -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))) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 6189700196426901/309485009821345068724781056 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 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha)))) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -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))) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 6189700196426901/309485009821345068724781056 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 (fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (neg.f64 (-.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 (+.f64 (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 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 6189700196426901/309485009821345068724781056 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -9007181240342483/9007199254740992 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 #s(approx (+ (+ ( 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64))) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 6189700196426901/309485009821345068724781056 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -9007181240342483/9007199254740992 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 #s(approx (+ (+ ( 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64))) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 6189700196426901/309485009821345068724781056 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 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -9007199236726593/9007199254740992 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (+ (* 4 i) (* 2 beta)) 2) alpha) 1/2) (.f64 (/.f64 i alpha) #s(literal 2 binary64)))) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 6189700196426901/309485009821345068724781056 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 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -9007199236726593/9007199254740992 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (+ (* 4 i) (* 2 beta)) 2) alpha) 1/2) (.f64 (/.f64 i alpha) #s(literal 2 binary64)))) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (+ (* 4 i) (* 2 beta)) 2) alpha) 1/2) (/.f64 beta alpha))) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))

Outputs
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(if (<=.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 (.f64 i #s(literal 2 binary64)) (+.f64 beta alpha))) (+.f64 (+.f64 (.f64 i #s(literal 2 binary64)) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal -9007181240342483/9007199254740992 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) alpha))) (*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64))) (+.f64 beta alpha) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
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(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -9007199236726593/9007199254740992 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (+ (* 4 i) (* 2 beta)) 2) alpha) 1/2) (.f64 (/.f64 i alpha) #s(literal 2 binary64)))) (if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))))
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(if (<=.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 (.f64 i #s(literal 2 binary64)) (+.f64 beta alpha))) (+.f64 (+.f64 (.f64 i #s(literal 2 binary64)) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))

soundness1.2s (11.6%)

Memory

-0.9MiB live, 1 030.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	759
0	120	698
1	639	684
2	6903	684
0	8003	646
0	933	12651
1	3169	11026
0	8839	9914
0	94	852
0	123	788
1	684	765
2	7246	765
0	8183	730
0	1970	22168
1	6710	22168
0	8270	20047
0	1926	17389
1	6424	16881
0	8221	15447
0	49	535
0	81	489
1	456	489
2	4408	489
0	8529	477
0	15	106
0	25	106
1	125	106
2	1197	106
0	8707	96

Stop Event

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

Compiler

Compiled 2 664 to 673 computations (74.7% saved)

preprocess83.0ms (0.8%)

Memory: 36.4MiB live, 152.7MiB allocated
Compiler: Compiled 3 898 to 298 computations (92.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze51.0ms (0.5%)

sample2.1s (20.9%)

explain416.0ms (4.1%)

preprocess197.0ms (1.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify166.0ms (1.6%)

localize67.0ms (0.7%)

series75.0ms (0.7%)

simplify359.0ms (3.5%)

rewrite208.0ms (2%)

eval80.0ms (0.8%)

prune33.0ms (0.3%)

simplify189.0ms (1.8%)

localize237.0ms (2.3%)

series119.0ms (1.2%)

simplify455.0ms (4.4%)

rewrite334.0ms (3.3%)

eval327.0ms (3.2%)

prune50.0ms (0.5%)

simplify364.0ms (3.6%)

localize237.0ms (2.3%)

series128.0ms (1.2%)

simplify359.0ms (3.5%)

rewrite312.0ms (3%)

eval191.0ms (1.9%)

prune74.0ms (0.7%)

simplify259.0ms (2.5%)

localize324.0ms (3.2%)

series70.0ms (0.7%)

simplify270.0ms (2.6%)

rewrite200.0ms (2%)

eval120.0ms (1.2%)

prune45.0ms (0.4%)

regimes106.0ms (1%)

regimes28.0ms (0.3%)

regimes23.0ms (0.2%)

regimes20.0ms (0.2%)

regimes19.0ms (0.2%)

regimes16.0ms (0.2%)

regimes19.0ms (0.2%)

regimes29.0ms (0.3%)

regimes39.0ms (0.4%)

regimes9.0ms (0.1%)

regimes38.0ms (0.4%)

regimes15.0ms (0.2%)

regimes7.0ms (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%)

bsearch34.0ms (0.3%)

simplify106.0ms (1%)

soundness1.2s (11.6%)

preprocess83.0ms (0.8%)

end0.0ms (0%)

Profiling