Metrics for Octave 3.8, jcobi/2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze101.0ms (1.1%)

Memory

13.7MiB live, 92.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 41 to 23 computations (43.9% saved)

sample2.0s (22.8%)

Memory

51.4MiB live, 2 363.3MiB allocated

Samples

1.1s	6 572×	0	valid
352.0ms	1 251×	1	valid
188.0ms	433×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-add: 525.0ms (41.6% of total)

ival-div: 235.0ms (18.6% of total)

ival-mult: 157.0ms (12.4% of total)

ival->: 139.0ms (11% of total)

ival-sub: 89.0ms (7.1% of total)

adjust: 78.0ms (6.2% of total)

exact: 19.0ms (1.5% of total)

ival-and: 17.0ms (1.3% of total)

ival-assert: 4.0ms (0.3% of total)

Bogosity

explain465.0ms (5.2%)

Memory

0.0MiB live, 636.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
83	-	1	(3.6312938952140603e-159 -1.7006129520491627e-290 3.972482874559222e-79)	`(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))`
46	-	40	(1.1273948932272657e+258 7.0190855136126974e-152 2.616306253256062e+212)	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
0	-	0	-	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`
0	-	0	-	`beta`
0	-	0	-	`(+.f64 alpha beta)`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`alpha`
0	-	0	-	`(*.f64 (+.f64 alpha beta) (-.f64 beta alpha))`
0	-	0	-	`(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`i`
0	-	0	-	`(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))`
0	-	0	-	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
0	-	0	-	`(-.f64 beta alpha)`
0	-	0	-	`(*.f64 #s(literal 2 binary64) i)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))`	o/n	76	0
↳	`(*.f64 (+.f64 alpha beta) (-.f64 beta alpha))`	overflow	76
`+.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	6	0

Confusion

	Predicted +	Predicted -
+	80	15
-	0	161

Precision

1.0

Recall

0.8421052631578947

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	80	0	15
-	0	0	161

Precision?

1.0

Recall?

0.8421052631578947

Freqs

test

number	freq
0	176
1	78
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

45.0ms	422×	0	valid
15.0ms	72×	1	valid
6.0ms	18×	2	valid

Compiler

Compiled 565 to 122 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-div: 14.0ms (32.6% of total)

ival-add: 12.0ms (28% of total)

ival-mult: 8.0ms (18.7% of total)

adjust: 4.0ms (9.3% of total)

ival-sub: 3.0ms (7% of total)

ival-true: 1.0ms (2.3% of total)

exact: 1.0ms (2.3% of total)

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

preprocess357.0ms (4%)

Memory

-126.0MiB live, 264.7MiB 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

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.1%	(/.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))

Status

Accuracy

Program

▶

64.1%

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

Compiler

Compiled 29 to 15 computations (48.3% saved)

simplify268.0ms (3%)

Memory

44.4MiB live, 221.2MiB 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)

localize47.0ms (0.5%)

Memory

-6.3MiB live, 119.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 #s(literal 2 binary64) i)
accuracy	0.05078125	(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
accuracy	10.695544208319891	(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))
accuracy	19.11386555173938	(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))

Samples

24.0ms	211×	0	valid
7.0ms	36×	1	valid
5.0ms	9×	2	valid

Compiler

Compiled 268 to 32 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-div: 9.0ms (38.4% of total)

ival-add: 6.0ms (25.6% of total)

ival-mult: 3.0ms (12.8% of total)

adjust: 2.0ms (8.5% of total)

ival-sub: 2.0ms (8.5% of total)

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

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

exact: 0.0ms (0% of total)

series49.0ms (0.5%)

Memory

0.5MiB 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
6.0ms	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))
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))
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))

simplify260.0ms (2.9%)

Memory

-28.2MiB live, 262.3MiB 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))

rewrite215.0ms (2.4%)

Memory

21.2MiB live, 252.2MiB 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 (*.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))))
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(-.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)))))
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(/.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)))
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(/.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)

eval309.0ms (3.4%)

Memory: -4.6MiB live, 115.0MiB allocated
Compiler: Compiled 28 976 to 2 555 computations (91.2% saved)

prune82.0ms (0.9%)

Memory

-2.4MiB live, 36.2MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	492	9	501
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	493	9	502

Accuracy

100.0%

Counts

502 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	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))
	16.8%	(/.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))
	46.8%	#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)))
▶	15.7%	#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))
▶	20.3%	#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)))
	71.3%	#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)))
▶	82.4%	#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))))
	36.4%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
▶	61.4%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))

Compiler

Compiled 856 to 436 computations (49.1% saved)

simplify275.0ms (3.1%)

Memory

-0.7MiB live, 168.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 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 (+.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)) #s(literal -1 binary64))
cost-diff	0	(+.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) #s(literal -1 binary64)) #s(literal 1 binary64))
cost-diff	0	(/.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))
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 (+.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	(*.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)))
cost-diff	0	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 #s(literal 1/2 binary64) (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))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	680
0	71	666
1	152	666
2	455	664
3	1890	649
4	5613	649
0	8264	619

Stop Event

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

Calls

Call 1

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

localize219.0ms (2.4%)

Memory

0.0MiB live, 206.8MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	2.885032937275299	(/.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	3.060656314157191	(/.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	13.320203099000926	(-.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	52.09685466992556	#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 (/.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	0.00390625	(/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) alpha)
accuracy	50.99406266612501	#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	0	(/.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))
accuracy	10.695544208319891	(+.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) #s(literal -1 binary64)) #s(literal 1 binary64))
accuracy	51.18881841354147	#s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) #s(literal -1 binary64))
accuracy	24.681273896194973	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))
accuracy	0	(*.f64 #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)))
accuracy	0.00390625	(/.f64 beta (fma.f64 #s(literal 2 binary64) i beta))
accuracy	0.015625	(/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))
accuracy	11.263895843189326	#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))))

Samples

93.0ms	211×	0	valid
55.0ms	36×	1	valid
13.0ms	9×	2	valid

Compiler

Compiled 1 327 to 92 computations (93.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 122.0ms

ival-div: 50.0ms (40.9% of total)

ival-add: 46.0ms (37.6% of total)

ival-mult: 16.0ms (13.1% of total)

adjust: 5.0ms (4.1% of total)

ival-sub: 4.0ms (3.3% of total)

exact: 1.0ms (0.8% of total)

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

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

series121.0ms (1.4%)

Memory

2.1MiB live, 110.9MiB allocated

Counts

19 → 272

Calls

Call 1

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

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))))))
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(/ beta alpha)
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(* (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 (* -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)))
(* (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)) (* 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)))))))))))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (* i (+ (* 2 (/ beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (+ 2 beta)))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* i (+ (* -1/2 (* 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)))))) (* -1/2 (+ (* 2 (/ beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (+ 2 beta))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* i (+ (* -1/2 (+ (* 2 (/ beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (+ 2 beta))))) (* i (+ (* -1/2 (* 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 (+ (* -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))))))))))
(+ 1 (/ beta (+ 2 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))))
(/ 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 (/ 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)))
(- (+ (* -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 (- (+ 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)))
(+ 1 (* i (- (* 4 (/ i (pow beta 2))) (* 2 (/ 1 beta)))))
(+ 1 (* i (- (* i (+ (* -8 (/ i (pow beta 3))) (* 4 (/ 1 (pow beta 2))))) (* 2 (/ 1 beta)))))
(* 1/2 (/ (- (+ 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 (* 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 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1/2 (+ (* -1/32 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+ 1/2 (+ (* -1/2 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) (pow i 4))) (+ (* -1/32 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))))
(+ 1/2 (* 1/8 (/ (pow beta 2) (pow i 2))))
(+ 1/2 (+ (* -1/32 (/ (* (pow beta 2) (+ (* 2 beta) (* 2 (+ 2 beta)))) (pow i 3))) (* 1/8 (/ (pow beta 2) (pow i 2)))))
(+ 1/2 (+ (* -1/2 (/ (+ (* -1/64 (* (pow beta 2) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2))) (* 1/16 (* (pow beta 3) (+ 2 beta)))) (pow i 4))) (+ (* -1/32 (/ (* (pow beta 2) (+ (* 2 beta) (* 2 (+ 2 beta)))) (pow i 3))) (* 1/8 (/ (pow beta 2) (pow i 2))))))
(+ 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)
(+ 1 (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1 (+ (* -1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(- (+ 1 (+ (* -1 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) (pow i 4))) (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))) (* 1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))))
(* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))
(/ (+ (* -1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(/ (- (+ (* -1 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) (pow i 2))) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (* 1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) i))) (pow i 2))
(/ (- (+ (* -1 (/ (+ (* -1/4 (* (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))))) (* -1/64 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)))))) (pow i 3))) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (+ (* -1/64 (/ (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha))) (pow i 2))) (+ (* 1/16 (/ (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))) (pow i 2))) (* 1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) i))))) (pow i 2))
(* 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)))))
(* -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 (/ (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)
(* -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 (/ (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)))))
(+ 1/2 (+ (* 1/32 (/ (* (pow beta 2) (+ (* -2 beta) (* -2 (+ 2 beta)))) (pow i 3))) (* 1/8 (/ (pow beta 2) (pow i 2)))))
(+ 1/2 (+ (* -1 (/ (+ (* -1/32 (* (pow beta 2) (+ (* -2 beta) (* -2 (+ 2 beta))))) (* 1/2 (/ (+ (* -1/64 (* (pow beta 2) (pow (+ (* -2 beta) (* -2 (+ 2 beta))) 2))) (* 1/16 (* (pow beta 3) (+ 2 beta)))) i))) (pow i 3))) (* 1/8 (/ (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)) 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))
(+ 1 (+ (* 1/16 (/ (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+ 1 (+ (* -1 (/ (- (+ (* -1/64 (/ (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha))) i)) (* 1/16 (/ (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))) i))) (* 1/16 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))))) (pow i 3))) (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(/ (+ (* 1/16 (/ (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(/ (+ (* -1 (/ (- (+ (* -1/64 (/ (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha))) i)) (* 1/16 (/ (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))) i))) (* 1/16 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha)))))) i)) (* -1/64 (/ (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) i))) (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha)))))) i)) (* 1/16 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(* -1 (* 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)))))
(* (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 (/ (+ (* -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) (- (* 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)))))
(* (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
39.0ms	alpha	@	-inf	((/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* 1/2 (+ (* (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) 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) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (* (/ (+ (+ (* 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) (* 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 (+ (* 2 i) beta)) (* 2 beta) (/ (* 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 beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha))
20.0ms	i	@	0	((/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* 1/2 (+ (* (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) 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) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (* (/ (+ (+ (* 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) (* 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 (+ (* 2 i) beta)) (* 2 beta) (/ (* 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 beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha))
9.0ms	alpha	@	0	((/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* 1/2 (+ (* (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) 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) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (* (/ (+ (+ (* 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) (* 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 (+ (* 2 i) beta)) (* 2 beta) (/ (* 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 beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha))
9.0ms	beta	@	inf	((/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* 1/2 (+ (* (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) 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) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (* (/ (+ (+ (* 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) (* 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 (+ (* 2 i) beta)) (* 2 beta) (/ (* 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 beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha))
7.0ms	beta	@	0	((/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* 1/2 (+ (* (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) 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) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (* (/ (+ (+ (* 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) (* 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 (+ (* 2 i) beta)) (* 2 beta) (/ (* 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 beta) (+ (* (- -2 (+ (* 2 i) beta)) (+ (* 2 i) beta)) (* (+ (+ (* 4 i) (* 2 beta)) 2) (+ (+ (* 4 i) (* 2 beta)) 2)))) alpha))

simplify235.0ms (2.6%)

Memory

15.0MiB live, 333.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1589	17011
1	5366	15344
0	8287	13914

Stop Event

1×	iter limit
1×	node limit

Counts

272 → 272

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

rewrite189.0ms (2.1%)

Memory

-18.6MiB live, 259.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	524
0	71	475
1	373	475
2	3910	475
0	8864	459

Stop Event

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

Counts

19 → 333

Calls

Call 1

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

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

eval178.0ms (2%)

Memory: 15.3MiB live, 259.9MiB allocated
Compiler: Compiled 62 545 to 4 439 computations (92.9% saved)

prune84.0ms (0.9%)

Memory

-1.8MiB live, 76.3MiB allocated

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	726	12	738
Fresh	0	4	4
Picked	3	2	5
Done	0	0	0
Total	729	18	747

Accuracy

100.0%

Counts

747 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	16.8%	(/.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))
	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 1/2 binary64))
▶	46.8%	#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)))
▶	16.4%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.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))
	17.9%	#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 #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))
	16.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #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))) (fma.f64 (fma.f64 #s(literal -6 binary64) (/.f64 i alpha) (.f64 (-.f64 #s(literal 4 binary64) (fma.f64 #s(literal 8 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (.f64 #s(literal -2 binary64) (+.f64 (/.f64 beta alpha) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))))) #s(literal 1/2 binary64))) i (.f64 (-.f64 (+.f64 (fma.f64 #s(literal 2 binary64) beta (/.f64 (.f64 beta beta) alpha)) #s(literal 2 binary64)) (fma.f64 (neg.f64 beta) (/.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)) alpha))) #s(literal 1/2 binary64)))) alpha))
	20.3%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(literal 1/2 binary64) (/.f64 alpha (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))))
	17.7%	#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)))
▶	15.6%	#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 2 binary64) beta #s(literal 2 binary64))) alpha) #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) (*.f64 (neg.f64 i) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) i) #s(literal -1 binary64) #s(literal -4 binary64)))) alpha) #s(literal 1/2 binary64)))
	71.3%	#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)))
✓	82.4%	#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))))
	58.2%	#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 #s(approx (/ beta (+ (+ ( 2 i) beta) 2)) (/.f64 beta (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 1 binary64))))
▶	75.8%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))))
	6.7%	#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)))
	8.6%	#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))))
▶	36.4%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
✓	61.4%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))

Compiler

Compiled 1 975 to 1 022 computations (48.3% saved)

simplify204.0ms (2.3%)

Memory

9.0MiB live, 198.7MiB 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)) #s(approx (+ (+ ( 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 4 binary64) i #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)) #s(approx (+ (+ ( 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 4 binary64) i #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)) #s(approx (+ (+ ( 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)))))) alpha)))
cost-diff	0	(*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) i))
cost-diff	0	(/.f64 #s(literal 1/8 binary64) i)
cost-diff	0	(fma.f64 (/.f64 #s(literal 1/8 binary64) i) (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) i)) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 #s(literal 1/8 binary64) i) (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) i)) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (+ (+ (* 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(approx (+ (+ (* 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha)
cost-diff	0	(.f64 (/.f64 #s(approx (+ (+ ( 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 #s(approx (+ (+ ( 4 i) (* 2 beta)) 2) (fma.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 binary64))
cost-diff	0	(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (* (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(literal 1/2 binary64) #s(approx (+ ( (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))))
cost-diff	0	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	763
0	95	753
1	183	753
2	468	753
3	1816	747
0	8605	707

Stop Event

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

Calls

Call 1

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

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

localize252.0ms (2.8%)

Memory

13.4MiB live, 255.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	3.060656314157191	(/.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)
accuracy	13.320203099000926	(-.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))))))
accuracy	17.662895939322027	#s(approx (+ (+ (* 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)))
accuracy	52.09685466992556	#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))
accuracy	0.015625	(/.f64 (-.f64 beta alpha) i)
accuracy	0.12109375	(*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) i))
accuracy	2.151594192592748	(fma.f64 (/.f64 #s(literal 1/8 binary64) i) (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) i)) #s(literal 1/2 binary64))
accuracy	34.01279775705541	#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)))
accuracy	0	(.f64 (/.f64 #s(approx (+ (+ ( 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64))
accuracy	0.00390625	(/.f64 #s(approx (+ (+ (* 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha)
accuracy	26.27340997680701	#s(approx (+ (+ (* 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))
accuracy	50.99406266612501	#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 2 binary64) beta #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64)))
accuracy	40.715872612313504	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
accuracy	0	(.f64 #s(literal 1/2 binary64) #s(approx (+ ( (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))))
accuracy	0.015625	(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
accuracy	4.749721687966452	#s(approx (+ (* (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))
accuracy	11.263895843189326	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))))

Samples

98.0ms	211×	0	valid
75.0ms	36×	1	valid
24.0ms	9×	2	valid

Compiler

Compiled 1 410 to 122 computations (91.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 115.0ms

exact: 28.0ms (24.4% of total)

ival-add: 21.0ms (18.3% of total)

ival-sub: 20.0ms (17.5% of total)

ival-mult: 20.0ms (17.5% of total)

ival-div: 19.0ms (16.6% of total)

adjust: 6.0ms (5.2% of total)

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

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

series60.0ms (0.7%)

Memory

6.2MiB live, 81.3MiB allocated

Counts

21 → 212

Calls

Call 1

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

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)))))))))))))
(* 1/2 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha))
(/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha)
(+ 1/2 (* 1/8 (/ (pow beta 2) (pow i 2))))
(+ 1/2 (+ (* 1/8 (* alpha (+ (* -1 (/ beta (pow i 2))) (/ beta (pow i 2))))) (* 1/8 (/ (pow beta 2) (pow i 2)))))
(+ 1/2 (+ (* 1/8 (/ (pow beta 2) (pow i 2))) (* alpha (+ (* -1/8 (/ alpha (pow i 2))) (* 1/8 (+ (* -1 (/ beta (pow i 2))) (/ beta (pow i 2))))))))
(/ (pow beta 2) i)
(+ (* alpha (+ (* -1 (/ beta i)) (/ beta i))) (/ (pow beta 2) i))
(+ (* alpha (+ (* -1 (/ alpha i)) (+ (* -1 (/ beta i)) (/ beta i)))) (/ (pow beta 2) i))
(* 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)
(/ beta i)
(+ (* -1 (/ alpha i)) (/ beta 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))
(* 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)
(* -1/8 (/ (pow alpha 2) (pow i 2)))
(* (pow alpha 2) (- (* 1/8 (/ (+ (* -1 (/ beta (pow i 2))) (/ beta (pow i 2))) alpha)) (* 1/8 (/ 1 (pow i 2)))))
(* (pow alpha 2) (- (+ (* 1/8 (/ (+ (* -1 (/ beta (pow i 2))) (/ beta (pow i 2))) alpha)) (+ (* 1/8 (/ (pow beta 2) (* (pow alpha 2) (pow i 2)))) (/ 1/2 (pow alpha 2)))) (* 1/8 (/ 1 (pow i 2)))))
(* -1 (/ (pow alpha 2) i))
(* (pow alpha 2) (- (+ (* -1 (/ beta (* alpha i))) (/ beta (* alpha i))) (/ 1 i)))
(* (pow alpha 2) (- (+ (* -1 (/ beta (* alpha i))) (+ (/ beta (* alpha i)) (/ (pow beta 2) (* (pow alpha 2) i)))) (/ 1 i)))
(* 1/2 (+ 2 (+ (* 2 beta) (* 4 i))))
(+ (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i)))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)))
(* -1 (/ alpha i))
(* alpha (- (/ beta (* alpha i)) (/ 1 i)))
(/ (+ (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i)))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha))) alpha)
(* -1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
(* -1 (/ (+ (* -1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))) (* 1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))))) alpha))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))))) (* 1/2 (/ (+ (* -1 (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))))))) (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))))) alpha))) alpha)) (* 1/2 (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))
(* (pow alpha 2) (- (* -1/8 (/ (+ (* -1 (/ beta (pow i 2))) (/ beta (pow i 2))) alpha)) (* 1/8 (/ 1 (pow i 2)))))
(* (pow alpha 2) (- (* -1 (/ (+ (* -1 (/ (+ 1/2 (* 1/8 (/ (pow beta 2) (pow i 2)))) alpha)) (* 1/8 (+ (* -1 (/ beta (pow i 2))) (/ beta (pow i 2))))) alpha)) (* 1/8 (/ 1 (pow i 2)))))
(* (pow alpha 2) (- (* -1 (/ (+ (* -1 (/ beta i)) (/ beta i)) alpha)) (/ 1 i)))
(* (pow alpha 2) (- (* -1 (/ (+ (* -1 (/ beta i)) (+ (* -1 (/ (pow beta 2) (* alpha i))) (/ beta i))) alpha)) (/ 1 i)))
(* -1 (* alpha (+ (* -1 (/ beta (* alpha i))) (/ 1 i))))
(* -1 (/ (+ (* -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))
(* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))))
(+ (* 1/2 (* beta (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))))))) (* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))))
(+ (* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (+ (* -1 (/ (pow alpha 2) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))))) (* 1/2 (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))))))
(+ (* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))) (* beta (+ (* 1/2 (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 3) (pow (+ alpha (* 2 i)) 3)))) (+ (* -1 (/ alpha (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))) (+ (/ alpha (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (/ 1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (+ (* -1 (/ (pow alpha 2) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))))) (* 1/2 (- (/ 1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (+ (* -1 (/ (pow alpha 2) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))))))))
1/2
(+ 1/2 (* 1/4 (/ (pow beta 2) (* i (+ 2 (* 2 i))))))
(+ 1/2 (* (pow beta 2) (+ (* -1/8 (/ (* beta (+ 2 (* 4 i))) (* (pow i 2) (pow (+ 2 (* 2 i)) 2)))) (* 1/4 (/ 1 (* i (+ 2 (* 2 i))))))))
(+ 1/2 (* (pow beta 2) (+ (* beta (+ (* -1/2 (* beta (+ (* -1/8 (/ (pow (+ 2 (* 4 i)) 2) (* (pow i 3) (pow (+ 2 (* 2 i)) 3)))) (* 1/4 (/ 1 (* (pow i 2) (pow (+ 2 (* 2 i)) 2))))))) (* -1/8 (/ (+ 2 (* 4 i)) (* (pow i 2) (pow (+ 2 (* 2 i)) 2)))))) (* 1/4 (/ 1 (* i (+ 2 (* 2 i))))))))
1
(+ 1 (* 1/2 (/ (pow beta 2) (* i (+ 2 (* 2 i))))))
(+ 1 (* (pow beta 2) (+ (* -1/4 (/ (* beta (+ 2 (* 4 i))) (* (pow i 2) (pow (+ 2 (* 2 i)) 2)))) (* 1/2 (/ 1 (* i (+ 2 (* 2 i))))))))
(+ 1 (* (pow beta 2) (+ (* beta (- (* -1 (* beta (+ (* -1/8 (/ (pow (+ 2 (* 4 i)) 2) (* (pow i 3) (pow (+ 2 (* 2 i)) 3)))) (* 1/4 (/ 1 (* (pow i 2) (pow (+ 2 (* 2 i)) 2))))))) (* 1/4 (/ (+ 2 (* 4 i)) (* (pow i 2) (pow (+ 2 (* 2 i)) 2)))))) (* 1/2 (/ 1 (* i (+ 2 (* 2 i))))))))
(+ 1 (* 1/2 beta))
(+ 1 (* beta (+ 1/2 (* -1/4 beta))))
(+ 1 (* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4)))))
(* 1/2 (/ (+ 2 (* 4 i)) alpha))
(+ (* 1/2 (/ (+ 2 (* 4 i)) alpha)) (/ beta alpha))
(/ (+ 2 (* 4 i)) alpha)
(+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha))))
(+ 2 (* 4 i))
(+ 2 (+ (* 2 beta) (* 4 i)))
(+ 1/2 (* -1/8 (/ (pow alpha 2) (pow i 2))))
(+ 1/2 (+ (* -1/8 (/ (pow alpha 2) (pow i 2))) (* 1/8 (* beta (+ (* -1 (/ alpha (pow i 2))) (/ alpha (pow i 2)))))))
(+ 1/2 (+ (* -1/8 (/ (pow alpha 2) (pow i 2))) (* beta (+ (* 1/8 (+ (* -1 (/ alpha (pow i 2))) (/ alpha (pow i 2)))) (* 1/8 (/ beta (pow i 2)))))))
(+ (* -1 (/ (pow alpha 2) i)) (* beta (+ (* -1 (/ alpha i)) (/ alpha i))))
(+ (* -1 (/ (pow alpha 2) i)) (* beta (+ (* -1 (/ alpha i)) (+ (/ alpha i) (/ beta i)))))
(* 1/2 (- (+ 2 (* 4 i)) (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) alpha))))
(+ (* 1/2 (* beta (- 2 (+ (* -1 (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha)))) (* 4 (/ (+ 2 (* 4 i)) alpha)))))) (* 1/2 (- (+ 2 (* 4 i)) (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) alpha)))))
(+ (* 1/2 (- (+ 2 (* 4 i)) (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) alpha)))) (* beta (+ (* -1 (/ beta alpha)) (* 1/2 (- 2 (+ (* -1 (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha)))) (* 4 (/ (+ 2 (* 4 i)) alpha))))))))
(* -1 (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)))
(- (* -1 (* beta (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i)))))) (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)))
(- (* beta (- (* -2 beta) (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i)))))) (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)))
(* 1/2 beta)
(* beta (+ 1/2 (* -1/4 beta)))
(* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4))))
(* beta (+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4))))
(* 1/2 (/ (- (+ 2 (* 4 i)) (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) alpha))) alpha))
(+ (* 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)))
(+ (* 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)))))))))
(+ 1 (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta)))
(+ 1 (+ (* 1/2 (/ (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))) (pow beta 2))) (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta))))
(+ 1 (+ (* -1/2 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))))) (pow beta 3))) (+ (* 1/2 (/ (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))) (pow beta 2))) (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta)))))
(+ 1 (* -1/2 (/ (+ 2 (* 4 i)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 4 i)) beta)) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 4 i)) 2)) (* 2 (* i (+ 2 (* 2 i))))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 4 i)) beta)) (+ (* -1/2 (/ (+ (* -2 (* i (* (+ 2 (* 2 i)) (+ 2 (* 4 i))))) (* -1 (* (+ 2 (* 4 i)) (+ (* -1 (pow (+ 2 (* 4 i)) 2)) (* 2 (* i (+ 2 (* 2 i)))))))) (pow beta 3))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 4 i)) 2)) (* 2 (* i (+ 2 (* 2 i))))) (pow beta 2))))))
2
(+ 2 (* -1 (/ (+ 2 (* 4 i)) beta)))
(- (+ 2 (* -1 (/ (+ (* -1 (pow (+ 2 (* 4 i)) 2)) (* 2 (* i (+ 2 (* 2 i))))) (pow beta 2)))) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta))))
(- (+ 2 (* -1 (/ (+ (* -2 (* i (* (+ 2 (* 2 i)) (+ 2 (* 4 i))))) (* -1 (* (+ 2 (* 4 i)) (+ (* -1 (pow (+ 2 (* 4 i)) 2)) (* 2 (* i (+ 2 (* 2 i)))))))) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 (* 4 i)) 2) (pow beta 2))) (+ (* 2 (/ (* i (+ 2 (* 2 i))) (pow beta 2))) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta))))))
(- 2 (* 2 (/ 1 beta)))
(- (+ 2 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))
(- (+ 2 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))
(/ beta alpha)
(* 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)))))
(* 1/8 (/ (pow beta 2) (pow i 2)))
(* (pow beta 2) (+ (* 1/8 (/ (+ (* -1 (/ alpha (pow i 2))) (/ alpha (pow i 2))) beta)) (* 1/8 (/ 1 (pow i 2)))))
(* (pow beta 2) (+ (* -1/8 (/ (pow alpha 2) (* (pow beta 2) (pow i 2)))) (+ (* 1/8 (/ (+ (* -1 (/ alpha (pow i 2))) (/ alpha (pow i 2))) beta)) (+ (/ 1/2 (pow beta 2)) (* 1/8 (/ 1 (pow i 2)))))))
(* (pow beta 2) (+ (* -1 (/ alpha (* beta i))) (+ (/ 1 i) (/ alpha (* beta i)))))
(* (pow beta 2) (+ (* -1 (/ alpha (* beta i))) (+ (* -1 (/ (pow alpha 2) (* (pow beta 2) i))) (+ (/ 1 i) (/ alpha (* beta i))))))
(* -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 (* 2 (/ 1 beta)))
(- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))
(- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))
(* beta (+ (* -1 (/ alpha (* beta i))) (/ 1 i)))
(* -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))))
(+ 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 (* 1/2 (/ (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (+ (* -2 i) (* -1 (+ 2 (* 2 i))))) (* 1/2 (/ (+ (* -1 (pow (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) 2)) (* 2 (* i (+ 2 (* 2 i))))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (pow (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) 2)) (* 2 (* i (+ 2 (* 2 i)))))) (* 1/2 (/ (+ (* -2 (* i (* (+ 2 (* 2 i)) (+ (* -2 i) (* -1 (+ 2 (* 2 i))))))) (* -1 (* (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) (+ (* -1 (pow (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) 2)) (* 2 (* i (+ 2 (* 2 i)))))))) beta))) beta)) (* -1/2 (+ (* -2 i) (* -1 (+ 2 (* 2 i)))))) 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)))
(+ 2 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta)))
(* -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)))
(* (pow beta 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1/2 (* -1/8 (/ (pow alpha 2) (pow i 2)))) beta)) (* -1/8 (+ (* -1 (/ alpha (pow i 2))) (/ alpha (pow i 2))))) beta)) (* 1/8 (/ 1 (pow i 2)))))
(* (pow beta 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ alpha i)) (/ alpha i))) (/ (pow alpha 2) (* beta i))) beta)) (/ 1 i)))
(* (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 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta)))
(* -1 (* beta (- (/ alpha (* beta i)) (/ 1 i))))
(* (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))))
(* 1/2 (- (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta)))))
(+ (* -1/2 (/ (* i (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)))) (* 1/2 (- (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))))
(+ (* 1/2 (- (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) (* i (+ (* -1/2 (* i (+ (* -1 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))))) (* -1/2 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)))))))
(+ (* 1/2 (- (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) (* i (+ (* -1/2 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)))) (* i (+ (* -1/2 (* i (+ (* -4 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* -1 (/ (* (+ (* -1 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta)))) (* (+ 2 (+ alpha beta)) (+ alpha beta))))))) (* -1/2 (+ (* -1 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)))))))))))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (* i (+ (* 2 (/ beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (+ 2 beta)))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* i (+ (* -1/2 (* 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)))))) (* -1/2 (+ (* 2 (/ beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (+ 2 beta))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* i (+ (* -1/2 (+ (* 2 (/ beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (+ 2 beta))))) (* i (+ (* -1/2 (* 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 (+ (* -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))))))))))
(+ 1 (/ beta (+ 2 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))))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(+ (* 1/2 (/ (+ 2 (* 2 beta)) alpha)) (* 2 (/ i alpha)))
(/ (+ 2 (* 2 beta)) alpha)
(+ 2 (* 2 beta))
(* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))
(/ (+ (* 1/8 (* (+ alpha beta) (- beta alpha))) (* 1/2 (pow i 2))) (pow i 2))
(/ 1/8 i)
(/ (* (+ alpha beta) (- beta alpha)) i)
(* 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) i)
(* 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)))))))))
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1/2 (+ (* -1/32 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+ 1/2 (+ (* -1/2 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) (pow i 4))) (+ (* -1/32 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))))
(+ 1/2 (+ (* -1/32 (/ (* (pow beta 2) (+ (* 2 beta) (* 2 (+ 2 beta)))) (pow i 3))) (* 1/8 (/ (pow beta 2) (pow i 2)))))
(+ 1/2 (+ (* -1/2 (/ (+ (* -1/64 (* (pow beta 2) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2))) (* 1/16 (* (pow beta 3) (+ 2 beta)))) (pow i 4))) (+ (* -1/32 (/ (* (pow beta 2) (+ (* 2 beta) (* 2 (+ 2 beta)))) (pow i 3))) (* 1/8 (/ (pow beta 2) (pow i 2))))))
(+ 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))))
(* 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))))
(* -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))))))))
(* -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)))))
(+ 1/2 (+ (* 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)))))
(+ 1/2 (+ (* 1/32 (/ (* (pow beta 2) (+ (* -2 beta) (* -2 (+ 2 beta)))) (pow i 3))) (* 1/8 (/ (pow beta 2) (pow i 2)))))
(+ 1/2 (+ (* -1 (/ (+ (* -1/32 (* (pow beta 2) (+ (* -2 beta) (* -2 (+ 2 beta))))) (* 1/2 (/ (+ (* -1/64 (* (pow beta 2) (pow (+ (* -2 beta) (* -2 (+ 2 beta))) 2))) (* 1/16 (* (pow beta 3) (+ 2 beta)))) i))) (pow i 3))) (* 1/8 (/ (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)) 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 (* 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))))
(* (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) (- (* 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
14.0ms	alpha	@	0	((/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* 1/2 (+ (* (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1)) (+ (* (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) (+ (/ beta (+ 2 beta)) 1) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (+ (+ (* 4 i) (* 2 beta)) 2) alpha) 1/2) (/ (+ (+ (* 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) (+ (* (/ 1/8 i) (* (+ beta alpha) (/ (- beta alpha) i))) 1/2) (/ 1/8 i) (* (+ beta alpha) (/ (- beta alpha) i)) (* 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) (- (* 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 (+ 2 beta)) (/ (- beta alpha) i) (+ (+ (* 4 i) (* 2 beta)) 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))
13.0ms	beta	@	-inf	((/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* 1/2 (+ (* (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1)) (+ (* (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) (+ (/ beta (+ 2 beta)) 1) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (+ (+ (* 4 i) (* 2 beta)) 2) alpha) 1/2) (/ (+ (+ (* 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) (+ (* (/ 1/8 i) (* (+ beta alpha) (/ (- beta alpha) i))) 1/2) (/ 1/8 i) (* (+ beta alpha) (/ (- beta alpha) i)) (* 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) (- (* 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 (+ 2 beta)) (/ (- beta alpha) i) (+ (+ (* 4 i) (* 2 beta)) 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))
4.0ms	beta	@	0	((/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* 1/2 (+ (* (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1)) (+ (* (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) (+ (/ beta (+ 2 beta)) 1) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (+ (+ (* 4 i) (* 2 beta)) 2) alpha) 1/2) (/ (+ (+ (* 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) (+ (* (/ 1/8 i) (* (+ beta alpha) (/ (- beta alpha) i))) 1/2) (/ 1/8 i) (* (+ beta alpha) (/ (- beta alpha) i)) (* 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) (- (* 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 (+ 2 beta)) (/ (- beta alpha) i) (+ (+ (* 4 i) (* 2 beta)) 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))
4.0ms	alpha	@	-inf	((/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* 1/2 (+ (* (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1)) (+ (* (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) (+ (/ beta (+ 2 beta)) 1) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (+ (+ (* 4 i) (* 2 beta)) 2) alpha) 1/2) (/ (+ (+ (* 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) (+ (* (/ 1/8 i) (* (+ beta alpha) (/ (- beta alpha) i))) 1/2) (/ 1/8 i) (* (+ beta alpha) (/ (- beta alpha) i)) (* 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) (- (* 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 (+ 2 beta)) (/ (- beta alpha) i) (+ (+ (* 4 i) (* 2 beta)) 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))
4.0ms	i	@	0	((/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* 1/2 (+ (* (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1)) (+ (* (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) (+ (/ beta (+ 2 beta)) 1) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (+ (+ (* 4 i) (* 2 beta)) 2) alpha) 1/2) (/ (+ (+ (* 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) (+ (* (/ 1/8 i) (* (+ beta alpha) (/ (- beta alpha) i))) 1/2) (/ 1/8 i) (* (+ beta alpha) (/ (- beta alpha) i)) (* 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) (- (* 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 (+ 2 beta)) (/ (- beta alpha) i) (+ (+ (* 4 i) (* 2 beta)) 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))

simplify264.0ms (2.9%)

Memory

-25.1MiB live, 253.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1207	9137
1	4112	8269
0	8264	7433

Stop Event

1×	iter limit
1×	node limit

Counts

212 → 212

Calls

Call 1

Inputs
(* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))))
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(* 1/2 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha))
(/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha)
(+ 1/2 (* 1/8 (/ (pow beta 2) (pow i 2))))
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(+ 1/2 (+ (* 1/8 (/ (pow beta 2) (pow i 2))) (* alpha (+ (* -1/8 (/ alpha (pow i 2))) (* 1/8 (+ (* -1 (/ beta (pow i 2))) (/ beta (pow i 2))))))))
(/ (pow beta 2) i)
(+ (* alpha (+ (* -1 (/ beta i)) (/ beta i))) (/ (pow beta 2) i))
(+ (* alpha (+ (* -1 (/ alpha i)) (+ (* -1 (/ beta i)) (/ beta i)))) (/ (pow beta 2) i))
(* 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)
(/ beta i)
(+ (* -1 (/ alpha i)) (/ beta 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 (- (+ 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)
(* -1/8 (/ (pow alpha 2) (pow i 2)))
(* (pow alpha 2) (- (* 1/8 (/ (+ (* -1 (/ beta (pow i 2))) (/ beta (pow i 2))) alpha)) (* 1/8 (/ 1 (pow i 2)))))
(* (pow alpha 2) (- (+ (* 1/8 (/ (+ (* -1 (/ beta (pow i 2))) (/ beta (pow i 2))) alpha)) (+ (* 1/8 (/ (pow beta 2) (* (pow alpha 2) (pow i 2)))) (/ 1/2 (pow alpha 2)))) (* 1/8 (/ 1 (pow i 2)))))
(* -1 (/ (pow alpha 2) i))
(* (pow alpha 2) (- (+ (* -1 (/ beta (* alpha i))) (/ beta (* alpha i))) (/ 1 i)))
(* (pow alpha 2) (- (+ (* -1 (/ beta (* alpha i))) (+ (/ beta (* alpha i)) (/ (pow beta 2) (* (pow alpha 2) i)))) (/ 1 i)))
(* 1/2 (+ 2 (+ (* 2 beta) (* 4 i))))
(+ (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i)))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)))
(* -1 (/ alpha i))
(* alpha (- (/ beta (* alpha i)) (/ 1 i)))
(/ (+ (* 1/2 (+ 2 (+ (* 2 beta) (* 4 i)))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha))) alpha)
(* -1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
(* -1 (/ (+ (* -1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))) (* 1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))))) alpha))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))))) (* 1/2 (/ (+ (* -1 (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))))))) (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))))) alpha))) alpha)) (* 1/2 (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))
(* (pow alpha 2) (- (* -1/8 (/ (+ (* -1 (/ beta (pow i 2))) (/ beta (pow i 2))) alpha)) (* 1/8 (/ 1 (pow i 2)))))
(* (pow alpha 2) (- (* -1 (/ (+ (* -1 (/ (+ 1/2 (* 1/8 (/ (pow beta 2) (pow i 2)))) alpha)) (* 1/8 (+ (* -1 (/ beta (pow i 2))) (/ beta (pow i 2))))) alpha)) (* 1/8 (/ 1 (pow i 2)))))
(* (pow alpha 2) (- (* -1 (/ (+ (* -1 (/ beta i)) (/ beta i)) alpha)) (/ 1 i)))
(* (pow alpha 2) (- (* -1 (/ (+ (* -1 (/ beta i)) (+ (* -1 (/ (pow beta 2) (* alpha i))) (/ beta i))) alpha)) (/ 1 i)))
(* -1 (* alpha (+ (* -1 (/ beta (* alpha i))) (/ 1 i))))
(* -1 (/ (+ (* -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))
(* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))))
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1/2
(+ 1/2 (* 1/4 (/ (pow beta 2) (* i (+ 2 (* 2 i))))))
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1
(+ 1 (* 1/2 (/ (pow beta 2) (* i (+ 2 (* 2 i))))))
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(+ 1 (* 1/2 beta))
(+ 1 (* beta (+ 1/2 (* -1/4 beta))))
(+ 1 (* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4)))))
(* 1/2 (/ (+ 2 (* 4 i)) alpha))
(+ (* 1/2 (/ (+ 2 (* 4 i)) alpha)) (/ beta alpha))
(/ (+ 2 (* 4 i)) alpha)
(+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha))))
(+ 2 (* 4 i))
(+ 2 (+ (* 2 beta) (* 4 i)))
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(+ 1/2 (+ (* -1/8 (/ (pow alpha 2) (pow i 2))) (* 1/8 (* beta (+ (* -1 (/ alpha (pow i 2))) (/ alpha (pow i 2)))))))
(+ 1/2 (+ (* -1/8 (/ (pow alpha 2) (pow i 2))) (* beta (+ (* 1/8 (+ (* -1 (/ alpha (pow i 2))) (/ alpha (pow i 2)))) (* 1/8 (/ beta (pow i 2)))))))
(+ (* -1 (/ (pow alpha 2) i)) (* beta (+ (* -1 (/ alpha i)) (/ alpha i))))
(+ (* -1 (/ (pow alpha 2) i)) (* beta (+ (* -1 (/ alpha i)) (+ (/ alpha i) (/ beta i)))))
(* 1/2 (- (+ 2 (* 4 i)) (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) alpha))))
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(+ (* 1/2 (- (+ 2 (* 4 i)) (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) alpha)))) (* beta (+ (* -1 (/ beta alpha)) (* 1/2 (- 2 (+ (* -1 (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha)))) (* 4 (/ (+ 2 (* 4 i)) alpha))))))))
(* -1 (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)))
(- (* -1 (* beta (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i)))))) (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)))
(- (* beta (- (* -2 beta) (+ (* -1 (+ 2 (* 4 i))) (* 4 (+ 2 (* 4 i)))))) (+ (* -2 (* i (+ 2 (* 2 i)))) (pow (+ 2 (* 4 i)) 2)))
(* 1/2 beta)
(* beta (+ 1/2 (* -1/4 beta)))
(* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4))))
(* beta (+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4))))
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(+ 1 (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta)))
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(+ 1 (* -1/2 (/ (+ 2 (* 4 i)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 4 i)) beta)) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 4 i)) 2)) (* 2 (* i (+ 2 (* 2 i))))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 4 i)) beta)) (+ (* -1/2 (/ (+ (* -2 (* i (* (+ 2 (* 2 i)) (+ 2 (* 4 i))))) (* -1 (* (+ 2 (* 4 i)) (+ (* -1 (pow (+ 2 (* 4 i)) 2)) (* 2 (* i (+ 2 (* 2 i)))))))) (pow beta 3))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 4 i)) 2)) (* 2 (* i (+ 2 (* 2 i))))) (pow beta 2))))))
2
(+ 2 (* -1 (/ (+ 2 (* 4 i)) beta)))
(- (+ 2 (* -1 (/ (+ (* -1 (pow (+ 2 (* 4 i)) 2)) (* 2 (* i (+ 2 (* 2 i))))) (pow beta 2)))) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta))))
(- (+ 2 (* -1 (/ (+ (* -2 (* i (* (+ 2 (* 2 i)) (+ 2 (* 4 i))))) (* -1 (* (+ 2 (* 4 i)) (+ (* -1 (pow (+ 2 (* 4 i)) 2)) (* 2 (* i (+ 2 (* 2 i)))))))) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 (* 4 i)) 2) (pow beta 2))) (+ (* 2 (/ (* i (+ 2 (* 2 i))) (pow beta 2))) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta))))))
(- 2 (* 2 (/ 1 beta)))
(- (+ 2 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))
(- (+ 2 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))
(/ beta alpha)
(* 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)))))
(* 1/8 (/ (pow beta 2) (pow i 2)))
(* (pow beta 2) (+ (* 1/8 (/ (+ (* -1 (/ alpha (pow i 2))) (/ alpha (pow i 2))) beta)) (* 1/8 (/ 1 (pow i 2)))))
(* (pow beta 2) (+ (* -1/8 (/ (pow alpha 2) (* (pow beta 2) (pow i 2)))) (+ (* 1/8 (/ (+ (* -1 (/ alpha (pow i 2))) (/ alpha (pow i 2))) beta)) (+ (/ 1/2 (pow beta 2)) (* 1/8 (/ 1 (pow i 2)))))))
(* (pow beta 2) (+ (* -1 (/ alpha (* beta i))) (+ (/ 1 i) (/ alpha (* beta i)))))
(* (pow beta 2) (+ (* -1 (/ alpha (* beta i))) (+ (* -1 (/ (pow alpha 2) (* (pow beta 2) i))) (+ (/ 1 i) (/ alpha (* beta i))))))
(* -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 (* 2 (/ 1 beta)))
(- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))
(- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))
(* beta (+ (* -1 (/ alpha (* beta i))) (/ 1 i)))
(* -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))))
(+ 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 (* 1/2 (/ (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (+ (* -2 i) (* -1 (+ 2 (* 2 i))))) (* 1/2 (/ (+ (* -1 (pow (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) 2)) (* 2 (* i (+ 2 (* 2 i))))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (pow (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) 2)) (* 2 (* i (+ 2 (* 2 i)))))) (* 1/2 (/ (+ (* -2 (* i (* (+ 2 (* 2 i)) (+ (* -2 i) (* -1 (+ 2 (* 2 i))))))) (* -1 (* (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) (+ (* -1 (pow (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) 2)) (* 2 (* i (+ 2 (* 2 i)))))))) beta))) beta)) (* -1/2 (+ (* -2 i) (* -1 (+ 2 (* 2 i)))))) 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)))
(+ 2 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta)))
(* -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)))
(* (pow beta 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1/2 (* -1/8 (/ (pow alpha 2) (pow i 2)))) beta)) (* -1/8 (+ (* -1 (/ alpha (pow i 2))) (/ alpha (pow i 2))))) beta)) (* 1/8 (/ 1 (pow i 2)))))
(* (pow beta 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ alpha i)) (/ alpha i))) (/ (pow alpha 2) (* beta i))) beta)) (/ 1 i)))
(* (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 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta)))
(* -1 (* beta (- (/ alpha (* beta i)) (/ 1 i))))
(* (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))))
(* 1/2 (- (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta)))))
(+ (* -1/2 (/ (* i (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)))) (* 1/2 (- (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))))
(+ (* 1/2 (- (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) (* i (+ (* -1/2 (* i (+ (* -1 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))))) (* -1/2 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)))))))
(+ (* 1/2 (- (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) (* i (+ (* -1/2 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)))) (* i (+ (* -1/2 (* i (+ (* -4 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* -1 (/ (* (+ (* -1 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta)))) (* (+ 2 (+ alpha beta)) (+ alpha beta))))))) (* -1/2 (+ (* -1 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)))))))))))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (* i (+ (* 2 (/ beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (+ 2 beta)))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* i (+ (* -1/2 (* 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)))))) (* -1/2 (+ (* 2 (/ beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (+ 2 beta))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* i (+ (* -1/2 (+ (* 2 (/ beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (+ 2 beta))))) (* i (+ (* -1/2 (* 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 (+ (* -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))))))))))
(+ 1 (/ beta (+ 2 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))))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(+ (* 1/2 (/ (+ 2 (* 2 beta)) alpha)) (* 2 (/ i alpha)))
(/ (+ 2 (* 2 beta)) alpha)
(+ 2 (* 2 beta))
(* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))
(/ (+ (* 1/8 (* (+ alpha beta) (- beta alpha))) (* 1/2 (pow i 2))) (pow i 2))
(/ 1/8 i)
(/ (* (+ alpha beta) (- beta alpha)) i)
(* 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) i)
(* 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)))))))))
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1/2 (+ (* -1/32 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+ 1/2 (+ (* -1/2 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) (pow i 4))) (+ (* -1/32 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))))
(+ 1/2 (+ (* -1/32 (/ (* (pow beta 2) (+ (* 2 beta) (* 2 (+ 2 beta)))) (pow i 3))) (* 1/8 (/ (pow beta 2) (pow i 2)))))
(+ 1/2 (+ (* -1/2 (/ (+ (* -1/64 (* (pow beta 2) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2))) (* 1/16 (* (pow beta 3) (+ 2 beta)))) (pow i 4))) (+ (* -1/32 (/ (* (pow beta 2) (+ (* 2 beta) (* 2 (+ 2 beta)))) (pow i 3))) (* 1/8 (/ (pow beta 2) (pow i 2))))))
(+ 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))))
(* 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))))
(* -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))))))))
(* -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)))))
(+ 1/2 (+ (* 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)))))
(+ 1/2 (+ (* 1/32 (/ (* (pow beta 2) (+ (* -2 beta) (* -2 (+ 2 beta)))) (pow i 3))) (* 1/8 (/ (pow beta 2) (pow i 2)))))
(+ 1/2 (+ (* -1 (/ (+ (* -1/32 (* (pow beta 2) (+ (* -2 beta) (* -2 (+ 2 beta))))) (* 1/2 (/ (+ (* -1/64 (* (pow beta 2) (pow (+ (* -2 beta) (* -2 (+ 2 beta))) 2))) (* 1/16 (* (pow beta 3) (+ 2 beta)))) i))) (pow i 3))) (* 1/8 (/ (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)) 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 (* 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))))
(* (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) (- (* 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
(* 1/2 (+ 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 (neg.f64 (.f64 beta beta)) (/.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (.f64 (pow.f64 (fma.f64 i #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))))) 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))))
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(* (pow i 2) (- (* -1 (/ (- (* -1 (/ (- (pow beta 2) (+ (* -1 (* beta (+ 2 beta))) (pow (+ 2 (* 2 beta)) 2))) i)) (+ (* -8 (+ 2 (* 2 beta))) (+ (* 2 beta) (* 2 (+ 2 beta))))) i)) 12))
(.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (fma.f64 beta beta (.f64 (+.f64 #s(literal 2 binary64) beta) beta)) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 2 binary64))) (neg.f64 i)) (fma.f64 #s(literal -8 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) beta) beta)))) (neg.f64 i)) #s(literal 12 binary64)) (.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 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (/.f64 beta alpha)) (fma.f64 #s(literal -8 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) #s(literal 4 binary64))) i) (/.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 (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (-.f64 (fma.f64 (/.f64 beta alpha) (/.f64 beta alpha) (fma.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) (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (/.f64 beta alpha)) (fma.f64 #s(literal -8 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) #s(literal 4 binary64))) alpha))) i) #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) (.f64 alpha alpha))) (*.f64 i i))

rewrite252.0ms (2.8%)

Memory

11.9MiB live, 284.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	561
0	95	551
1	459	551
2	4686	551
0	9248	526

Stop Event

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

Counts

21 → 310

Calls

Call 1

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

Outputs
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(approx (+ ( (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(.f64 #s(approx (+ ( (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) #s(approx (+ ( (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))))
#s(approx (+ (* (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))))
(/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 3 binary64)) #s(literal 1 binary64))))
(fma.f64 (/.f64 beta (-.f64 #s(literal 4 binary64) (*.f64 beta beta))) (-.f64 #s(literal 2 binary64) beta) #s(literal 1 binary64))
(fma.f64 (/.f64 beta (+.f64 #s(literal 8 binary64) (pow.f64 beta #s(literal 3 binary64)))) (fma.f64 beta (-.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal -1 binary64)) (pow.f64 (pow.f64 beta #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal -1 binary64)) beta #s(literal 1 binary64))
(fma.f64 (neg.f64 beta) (pow.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))
(fma.f64 beta (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (pow.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(approx (+ (+ ( 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) alpha)))
(.f64 (.f64 #s(approx (+ (+ (* 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 alpha #s(literal -1 binary64)))
(.f64 (/.f64 #s(approx (+ (+ ( 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64))
(.f64 #s(approx (+ (+ ( 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) alpha))
(.f64 #s(approx (+ (+ ( 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (*.f64 (pow.f64 alpha #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (+ ( 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha))
(pow.f64 (/.f64 alpha (.f64 #s(approx (+ (+ ( 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 (.f64 (neg.f64 #s(approx (+ (+ ( 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 alpha))
(/.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 #s(approx (+ (+ ( 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (neg.f64 alpha))
(/.f64 (neg.f64 (.f64 #s(approx (+ (+ ( 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) #s(literal 1/2 binary64))) (neg.f64 alpha))
(/.f64 (.f64 #s(approx (+ (+ ( 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) #s(literal 1/2 binary64)) alpha)
(/.f64 #s(literal 1/2 binary64) (/.f64 alpha #s(approx (+ (+ (* 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 alpha (.f64 #s(approx (+ (+ ( 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(.f64 (pow.f64 alpha #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (+ (+ ( 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 alpha #s(literal -1 binary64)) #s(approx (+ (+ ( 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))
(.f64 (neg.f64 #s(approx (+ (+ ( 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) (pow.f64 (neg.f64 alpha) #s(literal -1 binary64)))
(.f64 #s(approx (+ (+ ( 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (pow.f64 alpha #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (+ ( 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha))
(pow.f64 (/.f64 (/.f64 alpha #s(approx (+ (+ (* 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 alpha #s(approx (+ (+ (* 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (.f64 #s(approx (+ (+ ( 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) #s(literal 1 binary64)) alpha)
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (+ (* 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (neg.f64 (neg.f64 alpha)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 alpha #s(approx (+ (+ (* 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))))
(/.f64 (neg.f64 #s(approx (+ (+ (* 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) (neg.f64 alpha))
(/.f64 #s(approx (+ (+ (* 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 alpha #s(approx (+ (+ (* 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 alpha #s(approx (+ (+ (* 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))))
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (+ (* 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) alpha))
(neg.f64 (/.f64 #s(approx (+ (+ (* 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (neg.f64 alpha)))
(exp.f64 (.f64 (log.f64 (/.f64 alpha #s(approx (+ (+ ( 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) #s(literal -1 binary64)))
#s(approx (+ (+ (* 4 i) (* 2 beta)) 2) (fma.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) (fma.f64 (*.f64 (/.f64 (-.f64 beta alpha) i) (+.f64 beta alpha)) (/.f64 #s(literal 1/8 binary64) i) #s(literal 1/2 binary64)))
(.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (.f64 (/.f64 (-.f64 beta alpha) i) (+.f64 beta alpha)) i) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (*.f64 (/.f64 (-.f64 beta alpha) i) (+.f64 beta alpha)) (/.f64 #s(literal 1/8 binary64) i) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 (/.f64 (.f64 (/.f64 (-.f64 beta alpha) i) (+.f64 beta alpha)) i) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (.f64 (/.f64 (-.f64 beta alpha) i) (+.f64 beta alpha)) i) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (/.f64 (-.f64 beta alpha) i) (+.f64 beta alpha)) (.f64 (/.f64 #s(literal 1/8 binary64) i) #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (.f64 (/.f64 (-.f64 beta alpha) i) (+.f64 beta alpha)) (/.f64 #s(literal 1/8 binary64) i) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (.f64 (/.f64 (-.f64 beta alpha) i) (+.f64 beta alpha)) i) #s(literal 2 binary64)) #s(literal -1/4 binary64))) #s(literal -1 binary64))
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(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 (/.f64 (-.f64 beta alpha) i) (+.f64 beta alpha)) (/.f64 #s(literal 1/8 binary64) i)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 (/.f64 (-.f64 beta alpha) i) (+.f64 beta alpha)) (/.f64 #s(literal 1/8 binary64) i))))
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(/.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (.f64 #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 (fma.f64 #s(literal 2 binary64) beta #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 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (.f64 #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 (fma.f64 #s(literal 2 binary64) 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 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (.f64 #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 (fma.f64 #s(literal 2 binary64) beta #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 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (.f64 #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 (fma.f64 #s(literal 2 binary64) beta #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 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (.f64 #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 (fma.f64 #s(literal 2 binary64) beta #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 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (.f64 #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 (fma.f64 #s(literal 2 binary64) beta #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 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (.f64 #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 (fma.f64 #s(literal 2 binary64) beta #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 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (.f64 #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 (fma.f64 #s(literal 2 binary64) beta #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 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (.f64 #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 (fma.f64 #s(literal 2 binary64) beta #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)))

eval207.0ms (2.3%)

Memory: -4.9MiB live, 162.5MiB allocated
Compiler: Compiled 43 461 to 3 184 computations (92.7% saved)

prune62.0ms (0.7%)

Memory

-0.6MiB live, 77.7MiB allocated

Pruning

22 alts after pruning (17 fresh and 5 done)

	Pruned	Kept	Total
New	539	7	546
Fresh	1	10	11
Picked	2	3	5
Done	0	2	2
Total	542	22	564

Accuracy

100.0%

Counts

564 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	16.8%	(/.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))
▶	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 1/2 binary64))
	48.6%	#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) #s(approx (/ (- beta alpha) i) (/.f64 beta i))) #s(literal 1/2 binary64)))
	16.4%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 (+.f64 (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (.f64 #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 (fma.f64 #s(literal 2 binary64) beta #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))
▶	17.9%	#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 #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))
	16.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #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))) (fma.f64 (fma.f64 #s(literal -6 binary64) (/.f64 i alpha) (.f64 (-.f64 #s(literal 4 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) #s(literal 8 binary64) (.f64 #s(literal -2 binary64) (+.f64 (/.f64 beta alpha) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))))) #s(literal 1/2 binary64))) i (.f64 (-.f64 (+.f64 (fma.f64 #s(literal 2 binary64) beta (/.f64 (.f64 beta beta) alpha)) #s(literal 2 binary64)) (fma.f64 (neg.f64 beta) (/.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)) alpha))) #s(literal 1/2 binary64)))) alpha))
▶	20.3%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(literal 1/2 binary64) (/.f64 alpha (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))))
	17.7%	#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)))
✓	15.6%	#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 2 binary64) beta #s(literal 2 binary64))) alpha) #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) (*.f64 (neg.f64 i) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) i) #s(literal -1 binary64) #s(literal -4 binary64)))) alpha) #s(literal 1/2 binary64)))
▶	71.3%	#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)))
✓	82.4%	#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))))
	58.2%	#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 #s(approx (/ beta (+ (+ ( 2 i) beta) 2)) (/.f64 beta (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 1 binary64))))
✓	75.8%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))))
▶	49.3%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) #s(approx (+ (/ beta (+ 2 beta)) 1) (fma.f64 (fma.f64 #s(literal -1/4 binary64) beta #s(literal 1/2 binary64)) beta #s(literal 1 binary64))))))
	50.6%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) #s(approx (+ (/ beta (+ 2 beta)) 1) (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64))))))
	28.6%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) #s(approx (+ (/ beta (+ 2 beta)) 1) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) beta))))))
	51.7%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* (/ 1/8 i) (* (+ beta alpha) (/ (- beta alpha) i))) 1/2) (fma.f64 (/.f64 #s(literal -1/8 binary64) i) (/.f64 (*.f64 alpha alpha) i) #s(literal 1/2 binary64))))
	6.7%	#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)))
	8.6%	#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))))
✓	36.4%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
✓	61.4%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))

Compiler

Compiled 2 345 to 1 202 computations (48.7% saved)

simplify140.0ms (1.6%)

Memory

-11.1MiB live, 147.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 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 #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	(fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))
cost-diff	0	(/.f64 alpha (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))
cost-diff	0	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(literal 1/2 binary64) (/.f64 alpha (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))))
cost-diff	896	(/.f64 #s(literal 1/2 binary64) (/.f64 alpha (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))))
cost-diff	0	#s(approx (+ (/ beta (+ 2 beta)) 1) (fma.f64 (fma.f64 #s(literal -1/4 binary64) beta #s(literal 1/2 binary64)) beta #s(literal 1 binary64)))
cost-diff	0	#s(approx (+ (* (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) #s(approx (+ (/ beta (+ 2 beta)) 1) (fma.f64 (fma.f64 #s(literal -1/4 binary64) beta #s(literal 1/2 binary64)) beta #s(literal 1 binary64))))
cost-diff	0	(.f64 #s(literal 1/2 binary64) #s(approx (+ ( (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) #s(approx (+ (/ beta (+ 2 beta)) 1) (fma.f64 (fma.f64 #s(literal -1/4 binary64) beta #s(literal 1/2 binary64)) beta #s(literal 1 binary64)))))
cost-diff	0	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) #s(approx (+ (/ beta (+ 2 beta)) 1) (fma.f64 (fma.f64 #s(literal -1/4 binary64) beta #s(literal 1/2 binary64)) beta #s(literal 1 binary64))))))
cost-diff	0	#s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) #s(literal -1 binary64))
cost-diff	0	(+.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) #s(literal -1 binary64)) #s(literal 1 binary64))
cost-diff	128	(.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 1/2 binary64))
cost-diff	0	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))
cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))))
cost-diff	0	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
cost-diff	128	(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	793
0	97	776
1	192	776
2	524	776
3	1983	772
4	7868	772
0	8158	710

Stop Event

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

Calls

Call 1

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

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

localize179.0ms (2%)

Memory

19.7MiB live, 291.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	2.885032937275299	(/.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	3.060656314157191	(/.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	43.733834104440604	#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	52.09685466992556	#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	(fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))
accuracy	0.00390625	(/.f64 alpha (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))
accuracy	0.12109375	(/.f64 #s(literal 1/2 binary64) (/.f64 alpha (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))))
accuracy	50.99406266612501	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(literal 1/2 binary64) (/.f64 alpha (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))))
accuracy	0	(.f64 #s(literal 1/2 binary64) #s(approx (+ ( (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) #s(approx (+ (/ beta (+ 2 beta)) 1) (fma.f64 (fma.f64 #s(literal -1/4 binary64) beta #s(literal 1/2 binary64)) beta #s(literal 1 binary64)))))
accuracy	4.749721687966452	#s(approx (+ (* (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) #s(approx (+ (/ beta (+ 2 beta)) 1) (fma.f64 (fma.f64 #s(literal -1/4 binary64) beta #s(literal 1/2 binary64)) beta #s(literal 1 binary64))))
accuracy	11.263895843189326	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) #s(approx (+ (/ beta (+ 2 beta)) 1) (fma.f64 (fma.f64 #s(literal -1/4 binary64) beta #s(literal 1/2 binary64)) beta #s(literal 1 binary64))))))
accuracy	23.278298679811016	#s(approx (+ (/ beta (+ 2 beta)) 1) (fma.f64 (fma.f64 #s(literal -1/4 binary64) beta #s(literal 1/2 binary64)) beta #s(literal 1 binary64)))
accuracy	0	(.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 1/2 binary64))
accuracy	10.695544208319891	(+.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) #s(literal -1 binary64)) #s(literal 1 binary64))
accuracy	51.18881841354147	#s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) #s(literal -1 binary64))
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	0.01953125	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))
accuracy	10.75296734465519	#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	13.655657296862401	(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))))

Samples

77.0ms	199×	0	valid
32.0ms	43×	1	valid
13.0ms	14×	2	valid

Compiler

Compiled 1 428 to 136 computations (90.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-add: 29.0ms (30.9% of total)

ival-div: 26.0ms (27.7% of total)

ival-mult: 23.0ms (24.5% of total)

adjust: 9.0ms (9.6% of total)

ival-sub: 4.0ms (4.3% of total)

exact: 1.0ms (1.1% of total)

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

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

series64.0ms (0.7%)

Memory

-6.3MiB live, 86.2MiB allocated

Counts

22 → 318

Calls

Call 1

Inputs
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))
(.f64 (+.f64 #s(approx (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.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(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) #s(literal -1 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) #s(approx (+ (/ beta (+ 2 beta)) 1) (fma.f64 (fma.f64 #s(literal -1/4 binary64) beta #s(literal 1/2 binary64)) beta #s(literal 1 binary64))))))
(.f64 #s(literal 1/2 binary64) #s(approx (+ ( (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) #s(approx (+ (/ beta (+ 2 beta)) 1) (fma.f64 (fma.f64 #s(literal -1/4 binary64) beta #s(literal 1/2 binary64)) beta #s(literal 1 binary64)))))
#s(approx (+ (* (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) #s(approx (+ (/ beta (+ 2 beta)) 1) (fma.f64 (fma.f64 #s(literal -1/4 binary64) beta #s(literal 1/2 binary64)) beta #s(literal 1 binary64))))
#s(approx (+ (/ beta (+ 2 beta)) 1) (fma.f64 (fma.f64 #s(literal -1/4 binary64) beta #s(literal 1/2 binary64)) beta #s(literal 1 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 alpha (fma.f64 #s(literal 4 binary64) i (fma.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 #s(literal 1/2 binary64) (/.f64 alpha (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))))
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Outputs
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(- 2 (* 2 (/ 1 beta)))
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(/ beta alpha)
(* beta (+ (* 1/2 (/ (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha))) beta)) (/ 1 alpha)))
(* 1/2 (/ alpha beta))
(/ (+ (* -1/4 (/ (* alpha (+ 2 (* 4 i))) beta)) (* 1/2 alpha)) beta)
(/ (- (+ (* 1/8 (/ (* alpha (pow (+ 2 (* 4 i)) 2)) (pow beta 2))) (* 1/2 alpha)) (* 1/4 (/ (* alpha (+ 2 (* 4 i))) beta))) beta)
(/ (- (+ (* -1/16 (/ (* alpha (pow (+ 2 (* 4 i)) 3)) (pow beta 3))) (* 1/2 alpha)) (+ (* -1/8 (/ (* alpha (pow (+ 2 (* 4 i)) 2)) (pow beta 2))) (* 1/4 (/ (* alpha (+ 2 (* 4 i))) beta)))) beta)
(* 2 beta)
(* beta (+ 2 (+ (* 4 (/ i beta)) (* 2 (/ 1 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)))
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(* -1 (/ (pow beta 2) (pow alpha 2)))
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(* beta (+ 2 (* 2 (/ 1 beta))))
(* -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))))
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(* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ (* alpha (pow (+ 2 (* 4 i)) 2)) beta)) (* 1/4 (* alpha (+ 2 (* 4 i))))) beta)) (* -1/2 alpha)) beta))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (* alpha (pow (+ 2 (* 4 i)) 3)) beta)) (* 1/8 (* alpha (pow (+ 2 (* 4 i)) 2)))) beta)) (* 1/4 (* alpha (+ 2 (* 4 i))))) beta)) (* -1/2 alpha)) beta))
(* -1 (* beta (- (* -1 (/ (+ 2 (* 4 i)) beta)) 2)))
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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))))
(* (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)))))
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(/ (- 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))))
(+ (* 1/2 (/ (+ 2 (* 2 beta)) alpha)) (* 2 (/ i alpha)))
(/ alpha (+ 2 (* 2 beta)))
(+ (* -4 (/ (* alpha i) (pow (+ 2 (* 2 beta)) 2))) (/ alpha (+ 2 (* 2 beta))))
(+ (* i (- (* 16 (/ (* alpha i) (pow (+ 2 (* 2 beta)) 3))) (* 4 (/ alpha (pow (+ 2 (* 2 beta)) 2))))) (/ alpha (+ 2 (* 2 beta))))
(+ (* i (- (* i (- (* -64 (/ (* alpha i) (pow (+ 2 (* 2 beta)) 4))) (* -16 (/ alpha (pow (+ 2 (* 2 beta)) 3))))) (* 4 (/ alpha (pow (+ 2 (* 2 beta)) 2))))) (/ 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))))))))
(* 1/2 (/ (- (+ 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 (* 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 (* 1/8 (/ (* (+ 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 (/ (* (+ 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 (* 1/8 (/ (pow beta 2) (pow i 2))))
(+ 1/2 (+ (* -1/32 (/ (* (pow beta 2) (+ (* 2 beta) (* 2 (+ 2 beta)))) (pow i 3))) (* 1/8 (/ (pow beta 2) (pow i 2)))))
(+ 1/2 (+ (* -1/2 (/ (+ (* -1/64 (* (pow beta 2) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2))) (* 1/16 (* (pow beta 3) (+ 2 beta)))) (pow i 4))) (+ (* -1/32 (/ (* (pow beta 2) (+ (* 2 beta) (* 2 (+ 2 beta)))) (pow i 3))) (* 1/8 (/ (pow beta 2) (pow i 2))))))
(+ 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))))
(* 2 (/ i alpha))
(* i (+ (* 1/2 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha))) i)) (* 2 (/ 1 alpha))))
(* 1/4 (/ alpha i))
(/ (+ (* -1/16 (/ (* alpha (+ 2 (* 2 beta))) i)) (* 1/4 alpha)) i)
(/ (- (+ (* 1/64 (/ (* alpha (pow (+ 2 (* 2 beta)) 2)) (pow i 2))) (* 1/4 alpha)) (* 1/16 (/ (* alpha (+ 2 (* 2 beta))) i))) i)
(/ (- (+ (* -1/256 (/ (* alpha (pow (+ 2 (* 2 beta)) 3)) (pow i 3))) (* 1/4 alpha)) (+ (* -1/64 (/ (* alpha (pow (+ 2 (* 2 beta)) 2)) (pow i 2))) (* 1/16 (/ (* alpha (+ 2 (* 2 beta))) i)))) 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))))
(* -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 (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)))))
(/ (+ (* 1/16 (/ (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(/ (+ (* -1 (/ (- (+ (* -1/64 (/ (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha))) i)) (* 1/16 (/ (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))) i))) (* 1/16 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha)))))) i)) (* -1/64 (/ (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) i))) (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha)))))) i)) (* 1/16 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(+ 1/2 (+ (* 1/32 (/ (* (pow beta 2) (+ (* -2 beta) (* -2 (+ 2 beta)))) (pow i 3))) (* 1/8 (/ (pow beta 2) (pow i 2)))))
(+ 1/2 (+ (* -1 (/ (+ (* -1/32 (* (pow beta 2) (+ (* -2 beta) (* -2 (+ 2 beta))))) (* 1/2 (/ (+ (* -1/64 (* (pow beta 2) (pow (+ (* -2 beta) (* -2 (+ 2 beta))) 2))) (* 1/16 (* (pow beta 3) (+ 2 beta)))) i))) (pow i 3))) (* 1/8 (/ (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)) 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 (* i (- (* -1/2 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha))) i)) (* 2 (/ 1 alpha)))))
(* -1 (/ (+ (* -1/4 alpha) (* 1/16 (/ (* alpha (+ 2 (* 2 beta))) i))) i))
(* -1 (/ (+ (* -1 (/ (- (* 1/64 (/ (* alpha (pow (+ 2 (* 2 beta)) 2)) i)) (* 1/16 (* alpha (+ 2 (* 2 beta))))) i)) (* -1/4 alpha)) i))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (* alpha (pow (+ 2 (* 2 beta)) 3)) i)) (* 1/64 (* alpha (pow (+ 2 (* 2 beta)) 2)))) i)) (* 1/16 (* alpha (+ 2 (* 2 beta))))) i)) (* -1/4 alpha)) i))
(* -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))))
(* (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)))))
(* (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
10.0ms	beta	@	0	((* (+ 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)) (* (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 1/2) (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* 1/2 (+ (* (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1)) (+ (* (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) (+ (/ beta (+ 2 beta)) 1) (/ 1/2 (/ alpha (+ (* 4 i) (+ (* 2 beta) 2)))) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ alpha (+ (* 4 i) (+ (* 2 beta) 2))) (+ (* 4 i) (+ (* 2 beta) 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) (+ (* 2 beta) 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))
9.0ms	i	@	0	((* (+ 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)) (* (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 1/2) (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* 1/2 (+ (* (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1)) (+ (* (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) (+ (/ beta (+ 2 beta)) 1) (/ 1/2 (/ alpha (+ (* 4 i) (+ (* 2 beta) 2)))) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ alpha (+ (* 4 i) (+ (* 2 beta) 2))) (+ (* 4 i) (+ (* 2 beta) 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) (+ (* 2 beta) 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))
8.0ms	alpha	@	-inf	((* (+ 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)) (* (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 1/2) (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* 1/2 (+ (* (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1)) (+ (* (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) (+ (/ beta (+ 2 beta)) 1) (/ 1/2 (/ alpha (+ (* 4 i) (+ (* 2 beta) 2)))) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ alpha (+ (* 4 i) (+ (* 2 beta) 2))) (+ (* 4 i) (+ (* 2 beta) 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) (+ (* 2 beta) 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))
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simplify218.0ms (2.4%)

Memory

12.4MiB live, 327.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1888	18824
1	6333	18315
0	8023	16747

Stop Event

1×	iter limit
1×	node limit

Counts

318 → 318

Calls

Call 1

Inputs
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-1
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(/ beta alpha)
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(* beta (+ 2 (* 2 (/ 1 beta))))
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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))))
(* (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)))
(- (+ (* -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 (* i (+ (* 2 (/ beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (+ 2 beta)))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* i (+ (* -1/2 (* 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)))))) (* -1/2 (+ (* 2 (/ beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (+ 2 beta))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* i (+ (* -1/2 (+ (* 2 (/ beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (+ 2 beta))))) (* i (+ (* -1/2 (* 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 (+ (* -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))))))))))
(+ 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))))
(+ (* 1/2 (/ (+ 2 (* 2 beta)) alpha)) (* 2 (/ i alpha)))
(/ alpha (+ 2 (* 2 beta)))
(+ (* -4 (/ (* alpha i) (pow (+ 2 (* 2 beta)) 2))) (/ alpha (+ 2 (* 2 beta))))
(+ (* i (- (* 16 (/ (* alpha i) (pow (+ 2 (* 2 beta)) 3))) (* 4 (/ alpha (pow (+ 2 (* 2 beta)) 2))))) (/ alpha (+ 2 (* 2 beta))))
(+ (* i (- (* i (- (* -64 (/ (* alpha i) (pow (+ 2 (* 2 beta)) 4))) (* -16 (/ alpha (pow (+ 2 (* 2 beta)) 3))))) (* 4 (/ alpha (pow (+ 2 (* 2 beta)) 2))))) (/ 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))))))))
(* 1/2 (/ (- (+ 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 (* 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 (* 1/8 (/ (* (+ 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 (/ (* (+ 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 (* 1/8 (/ (pow beta 2) (pow i 2))))
(+ 1/2 (+ (* -1/32 (/ (* (pow beta 2) (+ (* 2 beta) (* 2 (+ 2 beta)))) (pow i 3))) (* 1/8 (/ (pow beta 2) (pow i 2)))))
(+ 1/2 (+ (* -1/2 (/ (+ (* -1/64 (* (pow beta 2) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2))) (* 1/16 (* (pow beta 3) (+ 2 beta)))) (pow i 4))) (+ (* -1/32 (/ (* (pow beta 2) (+ (* 2 beta) (* 2 (+ 2 beta)))) (pow i 3))) (* 1/8 (/ (pow beta 2) (pow i 2))))))
(+ 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))))
(* 2 (/ i alpha))
(* i (+ (* 1/2 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha))) i)) (* 2 (/ 1 alpha))))
(* 1/4 (/ alpha i))
(/ (+ (* -1/16 (/ (* alpha (+ 2 (* 2 beta))) i)) (* 1/4 alpha)) i)
(/ (- (+ (* 1/64 (/ (* alpha (pow (+ 2 (* 2 beta)) 2)) (pow i 2))) (* 1/4 alpha)) (* 1/16 (/ (* alpha (+ 2 (* 2 beta))) i))) i)
(/ (- (+ (* -1/256 (/ (* alpha (pow (+ 2 (* 2 beta)) 3)) (pow i 3))) (* 1/4 alpha)) (+ (* -1/64 (/ (* alpha (pow (+ 2 (* 2 beta)) 2)) (pow i 2))) (* 1/16 (/ (* alpha (+ 2 (* 2 beta))) i)))) 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))))
(* -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 (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)))))
(/ (+ (* 1/16 (/ (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(/ (+ (* -1 (/ (- (+ (* -1/64 (/ (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha))) i)) (* 1/16 (/ (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))) i))) (* 1/16 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha)))))) i)) (* -1/64 (/ (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) i))) (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha)))))) i)) (* 1/16 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(+ 1/2 (+ (* 1/32 (/ (* (pow beta 2) (+ (* -2 beta) (* -2 (+ 2 beta)))) (pow i 3))) (* 1/8 (/ (pow beta 2) (pow i 2)))))
(+ 1/2 (+ (* -1 (/ (+ (* -1/32 (* (pow beta 2) (+ (* -2 beta) (* -2 (+ 2 beta))))) (* 1/2 (/ (+ (* -1/64 (* (pow beta 2) (pow (+ (* -2 beta) (* -2 (+ 2 beta))) 2))) (* 1/16 (* (pow beta 3) (+ 2 beta)))) i))) (pow i 3))) (* 1/8 (/ (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)) 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 (* i (- (* -1/2 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha))) i)) (* 2 (/ 1 alpha)))))
(* -1 (/ (+ (* -1/4 alpha) (* 1/16 (/ (* alpha (+ 2 (* 2 beta))) i))) i))
(* -1 (/ (+ (* -1 (/ (- (* 1/64 (/ (* alpha (pow (+ 2 (* 2 beta)) 2)) i)) (* 1/16 (* alpha (+ 2 (* 2 beta))))) i)) (* -1/4 alpha)) i))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (* alpha (pow (+ 2 (* 2 beta)) 3)) i)) (* 1/64 (* alpha (pow (+ 2 (* 2 beta)) 2)))) i)) (* 1/16 (* alpha (+ 2 (* 2 beta))))) i)) (* -1/4 alpha)) i))
(* -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))))
(* (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)))))
(* (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 (/ beta (+ 2 beta))))
(*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(fma.f64 (.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(+ (* 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)))))))))
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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 (/ (- (+ beta (+ (* -1 beta) (* -1 (/ (- (+ (/ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha) (+ (/ (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))) alpha) (pow beta 2))) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)))) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
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(* -1 (/ (- (+ beta (+ (* -1 beta) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))))) alpha)) (/ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))))) alpha)) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))))) alpha)) (pow beta 2)) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)))) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
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(* -1 (/ (+ (* -1/2 (+ 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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(+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/64 binary64) (+.f64 alpha beta)) (.f64 (pow.f64 (.f64 #s(literal -2 binary64) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (+.f64 alpha beta))) #s(literal 2 binary64)) (-.f64 beta alpha)) (.f64 (.f64 #s(literal 1/16 binary64) (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta)) (.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha)))) i) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -1/32 binary64) (+.f64 alpha beta)) (.f64 (.f64 #s(literal -2 binary64) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (+.f64 alpha beta))) (-.f64 beta alpha)))) (pow.f64 i #s(literal 3 binary64)))) (.f64 (.f64 (/.f64 (+.f64 alpha beta) i) (/.f64 (-.f64 beta alpha) i)) #s(literal 1/8 binary64)))
(+ 1 (+ (* 1/16 (/ (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (+.f64 alpha beta)) i) (/.f64 (-.f64 beta alpha) i) (/.f64 (.f64 (.f64 #s(literal 1/16 binary64) (+.f64 alpha beta)) (.f64 (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (+.f64 alpha beta))) (-.f64 beta alpha))) (pow.f64 i #s(literal 3 binary64)))) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (- (+ (* -1/64 (/ (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha))) i)) (* 1/16 (/ (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))) i))) (* 1/16 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))))) (pow i 3))) (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (+.f64 alpha beta) (/.f64 (.f64 (pow.f64 (.f64 #s(literal -2 binary64) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (+.f64 alpha beta))) #s(literal 2 binary64)) (-.f64 beta alpha)) i)) #s(literal -1/64 binary64) (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/16 binary64) (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta)) (.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha))) i) (.f64 (.f64 #s(literal 1/16 binary64) (+.f64 alpha beta)) (.f64 (.f64 #s(literal -2 binary64) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (+.f64 alpha beta))) (-.f64 beta alpha))))) (pow.f64 i #s(literal 3 binary64)))) (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (+.f64 alpha beta)) i) (/.f64 (-.f64 beta alpha) i)))
(/ (+ (* 1/16 (/ (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (+.f64 alpha beta)) (-.f64 beta alpha) (/.f64 (.f64 (.f64 #s(literal 1/16 binary64) (+.f64 alpha beta)) (.f64 (.f64 #s(literal -2 binary64) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (+.f64 alpha beta))) (-.f64 beta alpha))) i)) (.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 (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (+.f64 alpha beta)) (-.f64 beta alpha)) (/.f64 (fma.f64 (.f64 (+.f64 alpha beta) (/.f64 (.f64 (pow.f64 (.f64 #s(literal -2 binary64) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (+.f64 alpha beta))) #s(literal 2 binary64)) (-.f64 beta alpha)) i)) #s(literal -1/64 binary64) (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/16 binary64) (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta)) (.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha))) i) (.f64 (.f64 #s(literal 1/16 binary64) (+.f64 alpha beta)) (.f64 (.f64 #s(literal -2 binary64) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (+.f64 alpha beta))) (-.f64 beta alpha))))) i)) (*.f64 i i))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha)))))) i)) (* -1/64 (/ (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) i))) (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha)))))) i)) (* 1/16 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (+.f64 alpha beta)) (-.f64 beta alpha)) (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 #s(literal -2 binary64) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (+.f64 alpha beta))) (/.f64 (fma.f64 (.f64 #s(literal -1/64 binary64) (+.f64 alpha beta)) (.f64 (pow.f64 (.f64 #s(literal -2 binary64) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (+.f64 alpha beta))) #s(literal 2 binary64)) (-.f64 beta alpha)) (.f64 (.f64 #s(literal 1/16 binary64) (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta)) (.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha)))) i)) #s(literal -1/4 binary64) (fma.f64 (/.f64 (.f64 (.f64 (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (.f64 (.f64 #s(literal -2 binary64) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (+.f64 alpha beta))) (-.f64 beta alpha))) i) #s(literal -1/64 binary64) (neg.f64 (fma.f64 (.f64 #s(literal -1/64 binary64) (+.f64 alpha beta)) (.f64 (pow.f64 (.f64 #s(literal -2 binary64) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (+.f64 alpha beta))) #s(literal 2 binary64)) (-.f64 beta alpha)) (.f64 (.f64 #s(literal 1/16 binary64) (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta)) (.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha))))))) i) #s(literal -1 binary64) (.f64 #s(literal -1/16 binary64) (.f64 (.f64 (+.f64 alpha beta) (.f64 #s(literal -2 binary64) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (+.f64 alpha beta)))) (-.f64 beta alpha)))) i)) (*.f64 i i))
(+ 1/2 (+ (* 1/32 (/ (* (pow beta 2) (+ (* -2 beta) (* -2 (+ 2 beta)))) (pow i 3))) (* 1/8 (/ (pow beta 2) (pow i 2)))))
(+.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (.f64 beta beta)) (pow.f64 i #s(literal 3 binary64))) #s(literal 1/32 binary64) (.f64 (/.f64 #s(literal 1/8 binary64) i) (/.f64 (*.f64 beta beta) i))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1 (/ (+ (* -1/32 (* (pow beta 2) (+ (* -2 beta) (* -2 (+ 2 beta))))) (* 1/2 (/ (+ (* -1/64 (* (pow beta 2) (pow (+ (* -2 beta) (* -2 (+ 2 beta))) 2))) (* 1/16 (* (pow beta 3) (+ 2 beta)))) i))) (pow i 3))) (* 1/8 (/ (pow beta 2) (pow i 2)))))
(+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 beta #s(literal 3 binary64))) (+.f64 #s(literal 2 binary64) beta) (.f64 (.f64 #s(literal -1/64 binary64) (.f64 beta beta)) (pow.f64 (.f64 #s(literal -2 binary64) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 2 binary64)))) i) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -1/32 binary64) (.f64 beta beta)) (.f64 #s(literal -2 binary64) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))))) (pow.f64 i #s(literal 3 binary64)))) (.f64 (/.f64 #s(literal 1/8 binary64) i) (/.f64 (*.f64 beta beta) i)))
(+ 1 (+ (* 1/16 (/ (* (pow beta 2) (+ (* -2 beta) (* -2 (+ 2 beta)))) (pow i 3))) (* 1/4 (/ (pow beta 2) (pow i 2)))))
(+.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (.f64 beta beta)) (pow.f64 i #s(literal 3 binary64))) #s(literal 1/16 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) i) (/.f64 (*.f64 beta beta) i))) #s(literal 1 binary64))
(+ 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)))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 (pow.f64 beta #s(literal 3 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) i)) #s(literal 1/16 binary64) (.f64 (.f64 (.f64 beta beta) (/.f64 (pow.f64 (.f64 #s(literal -2 binary64) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 2 binary64)) i)) #s(literal -1/64 binary64))) (.f64 (.f64 #s(literal 1/16 binary64) (.f64 beta beta)) (.f64 #s(literal -2 binary64) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))))) (pow.f64 i #s(literal 3 binary64)))) (.f64 (/.f64 #s(literal 1/4 binary64) i) (/.f64 (*.f64 beta beta) 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 (/ (+ (* -1/4 alpha) (* 1/16 (/ (* alpha (+ 2 (* 2 beta))) i))) i))
(neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) i) #s(literal 1/16 binary64) (.f64 #s(literal -1/4 binary64) alpha)) i))
(* -1 (/ (+ (* -1 (/ (- (* 1/64 (/ (* alpha (pow (+ 2 (* 2 beta)) 2)) i)) (* 1/16 (* alpha (+ 2 (* 2 beta))))) i)) (* -1/4 alpha)) i))
(neg.f64 (/.f64 (-.f64 (.f64 #s(literal -1/4 binary64) alpha) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 2 binary64)) alpha) i) #s(literal 1/64 binary64) (.f64 #s(literal -1/16 binary64) (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha))) i)) i))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (* alpha (pow (+ 2 (* 2 beta)) 3)) i)) (* 1/64 (* alpha (pow (+ 2 (* 2 beta)) 2)))) i)) (* 1/16 (* alpha (+ 2 (* 2 beta))))) i)) (* -1/4 alpha)) i))
(neg.f64 (/.f64 (-.f64 (.f64 #s(literal -1/4 binary64) alpha) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 3 binary64)) alpha) i) #s(literal 1/256 binary64) (.f64 #s(literal -1/64 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) (.f64 #s(literal -1/16 binary64) (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha))) 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))))) 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))
(* (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))
(* (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))

rewrite181.0ms (2%)

Memory

24.9MiB live, 251.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	677
0	97	633
1	522	633
2	5435	633
0	8204	588

Stop Event

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

Counts

22 → 351

Calls

Call 1

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

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

eval142.0ms (1.6%)

Memory: -19.9MiB live, 256.3MiB allocated
Compiler: Compiled 51 661 to 3 703 computations (92.8% saved)

prune37.0ms (0.4%)

Memory

22.8MiB live, 100.4MiB allocated

Pruning

24 alts after pruning (18 fresh and 6 done)

	Pruned	Kept	Total
New	614	8	622
Fresh	2	10	12
Picked	4	1	5
Done	0	5	5
Total	620	24	644

Accuracy

100.0%

Counts

644 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	3.4%	(fma.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	16.8%	(/.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))
	71.3%	#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 #s(literal 2 binary64) alpha) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	48.6%	#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) #s(approx (/ (- beta alpha) i) (/.f64 beta i))) #s(literal 1/2 binary64)))
	16.4%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 (+.f64 (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (.f64 #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 (fma.f64 #s(literal 2 binary64) beta #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))
	17.9%	#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 (.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)))) #s(literal 1/2 binary64)) alpha))
	16.9%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #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))) (fma.f64 (fma.f64 #s(literal -6 binary64) (/.f64 i alpha) (.f64 (-.f64 #s(literal 4 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) #s(literal 8 binary64) (.f64 #s(literal -2 binary64) (+.f64 (/.f64 beta alpha) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))))) #s(literal 1/2 binary64))) i (.f64 (-.f64 (+.f64 (fma.f64 #s(literal 2 binary64) beta (/.f64 (.f64 beta beta) alpha)) #s(literal 2 binary64)) (fma.f64 (neg.f64 beta) (/.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)) alpha))) #s(literal 1/2 binary64)))) alpha))
	8.6%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(literal 1/2 binary64) (/.f64 alpha #s(approx (+ (* 4 i) (+ (* 2 beta) 2)) (*.f64 #s(literal 4 binary64) i)))))
	17.7%	#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)))
✓	15.6%	#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 2 binary64) beta #s(literal 2 binary64))) alpha) #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) (*.f64 (neg.f64 i) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) i) #s(literal -1 binary64) #s(literal -4 binary64)))) alpha) #s(literal 1/2 binary64)))
	53.8%	#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)))
✓	82.4%	#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))))
	58.2%	#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 #s(approx (/ beta (+ (+ ( 2 i) beta) 2)) (/.f64 beta (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 1 binary64))))
✓	75.8%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))))
✓	49.3%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) #s(approx (+ (/ beta (+ 2 beta)) 1) (fma.f64 (fma.f64 #s(literal -1/4 binary64) beta #s(literal 1/2 binary64)) beta #s(literal 1 binary64))))))
	50.6%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) #s(approx (+ (/ beta (+ 2 beta)) 1) (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64))))))
	28.6%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) #s(approx (+ (/ beta (+ 2 beta)) 1) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) beta))))))
	6.7%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ 1/2 (/ alpha (+ (* 4 i) (+ (* 2 beta) 2)))) (/.f64 beta alpha)))
	8.6%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ 1/2 (/ alpha (+ (* 4 i) (+ (* 2 beta) 2)))) (*.f64 (/.f64 i alpha) #s(literal 2 binary64))))
	51.7%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* (/ 1/8 i) (* (+ beta alpha) (/ (- beta alpha) i))) 1/2) (fma.f64 (/.f64 #s(literal -1/8 binary64) i) (/.f64 (*.f64 alpha alpha) i) #s(literal 1/2 binary64))))
	28.2%	#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))))
✓	36.4%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
✓	61.4%	#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))

Compiler

Compiled 3 524 to 1 000 computations (71.6% saved)

regimes81.0ms (0.9%)

Memory

-13.5MiB live, 189.0MiB allocated

Counts

37 → 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))
(fma.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(.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 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 (/ alpha (+ (* 4 i) (+ (* 2 beta) 2)))) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) #s(approx (+ (/ beta (+ 2 beta)) 1) (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64))))))
(/.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) #s(approx (/ 1/2 (/ alpha (+ (* 4 i) (+ (* 2 beta) 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(literal 1/2 binary64) #s(approx (+ ( (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) #s(approx (+ (/ beta (+ 2 beta)) 1) (fma.f64 (fma.f64 #s(literal -1/4 binary64) beta #s(literal 1/2 binary64)) beta #s(literal 1 binary64))))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) #s(approx (+ (/ beta (+ 2 beta)) 1) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) beta))))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 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(approx (+ (+ ( 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 #s(approx (+ (+ ( 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))))
#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 #s(literal 2 binary64) alpha) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(literal 1/2 binary64) (/.f64 alpha #s(approx (+ (* 4 i) (+ (* 2 beta) 2)) (*.f64 #s(literal 4 binary64) i)))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (+.f64 #s(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) #s(approx (+ (* (/ 1/8 i) (* (+ beta alpha) (/ (- beta alpha) i))) 1/2) (fma.f64 (/.f64 #s(literal -1/8 binary64) i) (/.f64 (*.f64 alpha alpha) i) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(literal 1/2 binary64) (/.f64 alpha (fma.f64 #s(literal 4 binary64) i (fma.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) (fma.f64 (/.f64 #s(literal 1/8 binary64) i) (*.f64 (+.f64 beta alpha) #s(approx (/ (- beta alpha) i) (/.f64 beta i))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 #s(literal 1/8 binary64) i) (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) i)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(approx (/ beta (+ (+ ( 2 i) beta) 2)) (/.f64 beta (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 1 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 #s(approx (+ (+ ( 4 i) (* 2 beta)) 2) (*.f64 (neg.f64 i) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) i) #s(literal -1 binary64) #s(literal -4 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))))
#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 (.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)))) #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))
(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (.f64 (+.f64 (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta) (.f64 #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 (fma.f64 #s(literal 2 binary64) beta #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))
#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))
(/.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 #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))) (fma.f64 (fma.f64 #s(literal -6 binary64) (/.f64 i alpha) (.f64 (-.f64 #s(literal 4 binary64) (fma.f64 #s(literal 8 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (.f64 #s(literal -2 binary64) (+.f64 (/.f64 beta alpha) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))))) #s(literal 1/2 binary64))) i (.f64 (-.f64 (+.f64 (fma.f64 #s(literal 2 binary64) beta (/.f64 (.f64 beta beta) alpha)) #s(literal 2 binary64)) (fma.f64 (neg.f64 beta) (/.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)) alpha))) #s(literal 1/2 binary64)))) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* 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))) (fma.f64 (fma.f64 #s(literal -6 binary64) (/.f64 i alpha) (.f64 (-.f64 #s(literal 4 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) #s(literal 8 binary64) (.f64 #s(literal -2 binary64) (+.f64 (/.f64 beta alpha) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))))) #s(literal 1/2 binary64))) i (.f64 (-.f64 (+.f64 (fma.f64 #s(literal 2 binary64) beta (/.f64 (.f64 beta beta) alpha)) #s(literal 2 binary64)) (fma.f64 (neg.f64 beta) (/.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)) alpha))) #s(literal 1/2 binary64)))) alpha))

Outputs

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

7 calls:

14.0ms	(*.f64 #s(literal 2 binary64) i)
12.0ms	(/.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))
12.0ms	alpha
11.0ms	beta
10.0ms	i

Results

Accuracy	Segments	Branch
90.5%	2	`alpha`
82.4%	1	`beta`
82.4%	1	`i`
98.7%	2	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
98.7%	2	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
98.7%	2	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`
82.4%	1	`(*.f64 #s(literal 2 binary64) i)`

Compiler

Compiled 87 to 55 computations (36.8% saved)

regimes37.0ms (0.4%)

Memory

-5.2MiB live, 33.8MiB allocated

Counts

27 → 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))
(fma.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(.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 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 (/ alpha (+ (* 4 i) (+ (* 2 beta) 2)))) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) #s(approx (+ (/ beta (+ 2 beta)) 1) (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64))))))
(/.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) #s(approx (/ 1/2 (/ alpha (+ (* 4 i) (+ (* 2 beta) 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(literal 1/2 binary64) #s(approx (+ ( (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) #s(approx (+ (/ beta (+ 2 beta)) 1) (fma.f64 (fma.f64 #s(literal -1/4 binary64) beta #s(literal 1/2 binary64)) beta #s(literal 1 binary64))))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) #s(approx (+ (/ beta (+ 2 beta)) 1) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) beta))))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 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(approx (+ (+ ( 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 #s(approx (+ (+ ( 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))))
#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 #s(literal 2 binary64) alpha) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(literal 1/2 binary64) (/.f64 alpha #s(approx (+ (* 4 i) (+ (* 2 beta) 2)) (*.f64 #s(literal 4 binary64) i)))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (+.f64 #s(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) #s(approx (+ (* (/ 1/8 i) (* (+ beta alpha) (/ (- beta alpha) i))) 1/2) (fma.f64 (/.f64 #s(literal -1/8 binary64) i) (/.f64 (*.f64 alpha alpha) i) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(literal 1/2 binary64) (/.f64 alpha (fma.f64 #s(literal 4 binary64) i (fma.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) (fma.f64 (/.f64 #s(literal 1/8 binary64) i) (*.f64 (+.f64 beta alpha) #s(approx (/ (- beta alpha) i) (/.f64 beta i))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 #s(literal 1/8 binary64) i) (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) i)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(approx (/ beta (+ (+ ( 2 i) beta) 2)) (/.f64 beta (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 1 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 #s(approx (+ (+ ( 4 i) (* 2 beta)) 2) (*.f64 (neg.f64 i) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) i) #s(literal -1 binary64) #s(literal -4 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) (*.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 #s(approx (/ beta (+ (+ (* 2 i) beta) 2)) (/.f64 beta (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 1 binary64))))

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

Calls

3 calls:

22.0ms

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

7.0ms

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

6.0ms

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

Results

Accuracy	Segments	Branch
98.4%	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))`
98.4%	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))`
98.4%	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)

regimes51.0ms (0.6%)

Memory

-4.0MiB live, 34.9MiB allocated

Counts

25 → 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))
(fma.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(.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 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 (/ alpha (+ (* 4 i) (+ (* 2 beta) 2)))) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) #s(approx (+ (/ beta (+ 2 beta)) 1) (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64))))))
(/.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) #s(approx (/ 1/2 (/ alpha (+ (* 4 i) (+ (* 2 beta) 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(literal 1/2 binary64) #s(approx (+ ( (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) #s(approx (+ (/ beta (+ 2 beta)) 1) (fma.f64 (fma.f64 #s(literal -1/4 binary64) beta #s(literal 1/2 binary64)) beta #s(literal 1 binary64))))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) #s(approx (+ (/ beta (+ 2 beta)) 1) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) beta))))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 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(approx (+ (+ ( 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 #s(approx (+ (+ ( 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))))
#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 #s(literal 2 binary64) alpha) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(literal 1/2 binary64) (/.f64 alpha #s(approx (+ (* 4 i) (+ (* 2 beta) 2)) (*.f64 #s(literal 4 binary64) i)))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (+.f64 #s(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) #s(approx (+ (* (/ 1/8 i) (* (+ beta alpha) (/ (- beta alpha) i))) 1/2) (fma.f64 (/.f64 #s(literal -1/8 binary64) i) (/.f64 (*.f64 alpha alpha) i) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(literal 1/2 binary64) (/.f64 alpha (fma.f64 #s(literal 4 binary64) i (fma.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) (fma.f64 (/.f64 #s(literal 1/8 binary64) i) (*.f64 (+.f64 beta alpha) #s(approx (/ (- beta alpha) i) (/.f64 beta i))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 #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) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))

Calls

3 calls:

37.0ms

(/.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
98.4%	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))`
98.4%	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))`
98.4%	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)

regimes19.0ms (0.2%)

Memory

-0.2MiB live, 36.9MiB 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))
(fma.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(.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 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 (/ alpha (+ (* 4 i) (+ (* 2 beta) 2)))) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) #s(approx (+ (/ beta (+ 2 beta)) 1) (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64))))))
(/.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) #s(approx (/ 1/2 (/ alpha (+ (* 4 i) (+ (* 2 beta) 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(literal 1/2 binary64) #s(approx (+ ( (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) #s(approx (+ (/ beta (+ 2 beta)) 1) (fma.f64 (fma.f64 #s(literal -1/4 binary64) beta #s(literal 1/2 binary64)) beta #s(literal 1 binary64))))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) #s(approx (+ (/ beta (+ 2 beta)) 1) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) beta))))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 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(approx (+ (+ ( 4 i) (* 2 beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 #s(approx (+ (+ ( 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))))
#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 #s(literal 2 binary64) alpha) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(literal 1/2 binary64) (/.f64 alpha #s(approx (+ (* 4 i) (+ (* 2 beta) 2)) (*.f64 #s(literal 4 binary64) i)))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (+.f64 #s(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 #s(literal 2 binary64) alpha) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))

Calls

3 calls:

8.0ms

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

5.0ms

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

5.0ms

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

Results

Accuracy	Segments	Branch
95.6%	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))`
95.6%	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))`
95.6%	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)

regimes14.0ms (0.2%)

Memory

31.5MiB live, 31.5MiB allocated

Counts

17 → 3

Calls

Call 1

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

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

Calls

3 calls:

5.0ms

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

4.0ms

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

4.0ms

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

Results

Accuracy	Segments	Branch
95.0%	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))`
95.0%	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))`
95.0%	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 81 to 41 computations (49.4% saved)

regimes22.0ms (0.2%)

Memory

-20.2MiB live, 27.2MiB allocated

Counts

15 → 3

Calls

Call 1

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

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

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

Calls

3 calls:

4.0ms

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

4.0ms

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

4.0ms

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

Results

Accuracy	Segments	Branch
92.7%	3	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
92.7%	3	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
92.7%	3	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`

Compiler

Compiled 81 to 41 computations (49.4% saved)

regimes19.0ms (0.2%)

Memory

-1.7MiB live, 36.6MiB 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))
(fma.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(.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 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 (/ alpha (+ (* 4 i) (+ (* 2 beta) 2)))) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) #s(approx (+ (/ beta (+ 2 beta)) 1) (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64))))))
(/.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) #s(approx (/ 1/2 (/ alpha (+ (* 4 i) (+ (* 2 beta) 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(literal 1/2 binary64) #s(approx (+ ( (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) #s(approx (+ (/ beta (+ 2 beta)) 1) (fma.f64 (fma.f64 #s(literal -1/4 binary64) beta #s(literal 1/2 binary64)) beta #s(literal 1 binary64))))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) #s(approx (+ (/ beta (+ 2 beta)) 1) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) beta))))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 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) (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 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
78.6%	2	`alpha`
85.9%	3	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
85.9%	3	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
85.9%	3	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`

Compiler

Compiled 82 to 44 computations (46.3% saved)

regimes25.0ms (0.3%)

Memory

17.5MiB live, 54.4MiB 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))
(fma.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(.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 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 (/ alpha (+ (* 4 i) (+ (* 2 beta) 2)))) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) #s(approx (+ (/ beta (+ 2 beta)) 1) (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64))))))
(/.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) #s(approx (/ 1/2 (/ alpha (+ (* 4 i) (+ (* 2 beta) 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(literal 1/2 binary64) #s(approx (+ ( (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) #s(approx (+ (/ beta (+ 2 beta)) 1) (fma.f64 (fma.f64 #s(literal -1/4 binary64) beta #s(literal 1/2 binary64)) beta #s(literal 1 binary64))))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) #s(approx (+ (/ beta (+ 2 beta)) 1) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) beta))))))

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

Calls

6 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))
4.0ms	(*.f64 #s(literal 2 binary64) i)
4.0ms	beta
4.0ms	i
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)))

Results

Accuracy	Segments	Branch
75.8%	2	`beta`
64.6%	2	`i`
64.6%	2	`(*.f64 #s(literal 2 binary64) i)`
85.5%	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))`
85.5%	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))`
85.5%	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 86 to 52 computations (39.5% saved)

regimes11.0ms (0.1%)

Memory

-18.8MiB live, 20.1MiB allocated

Counts

11 → 3

Calls

Call 1

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

Outputs

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

4.0ms

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

3.0ms

(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #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
85.2%	3	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
85.2%	3	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
85.2%	3	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`

Compiler

Compiled 81 to 41 computations (49.4% saved)

regimes8.0ms (0.1%)

Memory

17.1MiB live, 17.1MiB 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))
(fma.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(.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 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 (/ alpha (+ (* 4 i) (+ (* 2 beta) 2)))) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) #s(approx (+ (/ beta (+ 2 beta)) 1) (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64))))))
(/.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

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))

2.0ms

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

Results

Accuracy	Segments	Branch
82.9%	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))`
82.9%	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))`
82.9%	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 81 to 41 computations (49.4% saved)

regimes9.0ms (0.1%)

Memory

-31.3MiB live, 13.1MiB allocated

Counts

4 → 2

Calls

Call 1

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

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))

2.0ms

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

2.0ms

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

Results

Accuracy	Segments	Branch
80.8%	2	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
80.8%	2	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
80.8%	2	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))`

Compiler

Compiled 81 to 41 computations (49.4% saved)

regimes9.0ms (0.1%)

Memory

22.4MiB live, 22.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
61.4%	1	`i`
61.4%	1	`(*.f64 #s(literal 2 binary64) i)`
61.4%	1	`beta`
61.4%	1	`alpha`
61.4%	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))`
61.4%	1	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))`
61.4%	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 87 to 55 computations (36.8% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999997441658	-2.2953764072806234e-12

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	8.672690459967169e-46	3.158912934754173e-45
0.0ms	-0.9999999997441658	-2.2953764072806234e-12

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	8.672690459967169e-46	3.158912934754173e-45
0.0ms	-0.9999999997441658	-2.2953764072806234e-12

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	8.672690459967169e-46	3.158912934754173e-45
0.0ms	-0.9999999997441658	-2.2953764072806234e-12

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	8.672690459967169e-46	3.158912934754173e-45
0.0ms	-0.9999999997441658	-2.2953764072806234e-12

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	8.672690459967169e-46	3.158912934754173e-45
0.0ms	-0.9999999997441658	-2.2953764072806234e-12

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	8.672690459967169e-46	3.158912934754173e-45
0.0ms	-1.0	-0.9999999999999999

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch2.0ms (0%)

Memory

-37.7MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.26969288507921e-5	0.9999917373541191
1.0ms	-1.0	-0.9999999999999999

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	1.26969288507921e-5	0.9999917373541191
0.0ms	-1.0	-0.9999999999999999

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.26969288507921e-5	0.9999917373541191
0.0ms	-0.9999999999999942	-0.9999999997441658

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch12.0ms (0.1%)

Memory

20.5MiB live, 20.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.26969288507921e-5	0.9999917373541191

Samples

5.0ms

144×

valid

Compiler

Compiled 590 to 346 computations (41.4% saved)

Precisions

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

ival-div: 1.0ms (49.9% of total)

ival-add: 1.0ms (49.9% of total)

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

exact: 0.0ms (0% of total)

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

simplify32.0ms (0.4%)

Memory

-18.0MiB live, 59.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	122	1899
1	149	1899
2	159	1899
3	167	1899
4	173	1899
5	175	1899

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 -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 6427752177035961/6427752177035961102167848369364650410088811975131171341205504 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 #s(approx (/ beta (+ (+ ( 2 i) beta) 2)) (/.f64 beta (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 1 binary64)))) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 (+.f64 (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 6427752177035961/6427752177035961102167848369364650410088811975131171341205504 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 #s(literal 2 binary64) alpha) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 #s(approx (+ (+ ( 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 6427752177035961/6427752177035961102167848369364650410088811975131171341205504 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 #s(literal 2 binary64) alpha) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 (/.f64 #s(approx (+ (+ ( 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 6427752177035961/6427752177035961102167848369364650410088811975131171341205504 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) 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 #s(approx (+ (+ ( 4 i) (* 2 beta)) 2) (fma.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 6427752177035961/6427752177035961102167848369364650410088811975131171341205504 binary64)) #s(approx (/ (+ (/ (/ ( (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) 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 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 6427752177035961/6427752177035961102167848369364650410088811975131171341205504 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) 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 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 5902958103587057/295147905179352825856 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) #s(approx (+ (/ beta (+ 2 beta)) 1) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) beta))))))))
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#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))

Outputs
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(if (<=.f64 (/.f64 (/.f64 (.f64 (-.f64 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))

soundness775.0ms (8.7%)

Memory

1.3MiB live, 719.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	933	12651
1	3169	11026
0	8839	9914
0	1589	17011
1	5366	15344
0	8287	13914
0	1207	9137
1	4112	8269
0	8264	7433
0	71	677
0	97	633
1	522	633
2	5435	633
0	8204	588

Stop Event

1×	fuel
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

Compiler

Compiled 2 308 to 510 computations (77.9% saved)

preprocess61.0ms (0.7%)

Memory: 22.2MiB live, 138.9MiB allocated
Compiler: Compiled 3 856 to 282 computations (92.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze101.0ms (1.1%)

sample2.0s (22.8%)

explain465.0ms (5.2%)

preprocess357.0ms (4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify268.0ms (3%)

localize47.0ms (0.5%)

series49.0ms (0.5%)

simplify260.0ms (2.9%)

rewrite215.0ms (2.4%)

eval309.0ms (3.4%)

prune82.0ms (0.9%)

simplify275.0ms (3.1%)

localize219.0ms (2.4%)

series121.0ms (1.4%)

simplify235.0ms (2.6%)

rewrite189.0ms (2.1%)

eval178.0ms (2%)

prune84.0ms (0.9%)

simplify204.0ms (2.3%)

localize252.0ms (2.8%)

series60.0ms (0.7%)

simplify264.0ms (2.9%)

rewrite252.0ms (2.8%)

eval207.0ms (2.3%)

prune62.0ms (0.7%)

simplify140.0ms (1.6%)

localize179.0ms (2%)

series64.0ms (0.7%)

simplify218.0ms (2.4%)

rewrite181.0ms (2%)

eval142.0ms (1.6%)

prune37.0ms (0.4%)

regimes81.0ms (0.9%)

regimes37.0ms (0.4%)

regimes51.0ms (0.6%)

regimes19.0ms (0.2%)

regimes14.0ms (0.2%)

regimes22.0ms (0.2%)

regimes19.0ms (0.2%)

regimes25.0ms (0.3%)

regimes11.0ms (0.1%)

regimes8.0ms (0.1%)

regimes9.0ms (0.1%)

regimes9.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch12.0ms (0.1%)

simplify32.0ms (0.4%)

soundness775.0ms (8.7%)

preprocess61.0ms (0.7%)

end0.0ms (0%)

Profiling