Metrics for Octave 3.8, jcobi/4

analyze17.0ms (0.1%)

Memory

6.8MiB live, 42.9MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	14%	86%	0%	0%	0%	0
0%	0%	14%	86%	0%	0%	0%	1
0%	0%	14%	86%	0%	0%	0%	2
25%	3.5%	10.5%	86%	0%	0%	0%	3
62.5%	8.8%	5.3%	86%	0%	0%	0%	4
75%	10.5%	3.5%	86%	0%	0%	0%	5
84.4%	11.8%	2.2%	86%	0%	0%	0%	6
92.2%	12.9%	1.1%	86%	0%	0%	0%	7
93.8%	13.2%	0.9%	86%	0%	0%	0%	8
95.7%	13.4%	0.6%	86%	0%	0%	0%	9
97.9%	13.7%	0.3%	86%	0%	0%	0%	10
98.4%	13.8%	0.2%	86%	0%	0%	0%	11
99%	13.9%	0.1%	86%	0%	0%	0%	12

Compiler

Compiled 65 to 24 computations (63.1% saved)

sample2.4s (16.3%)

Memory

41.9MiB live, 2 049.8MiB allocated

Samples

1.5s

8 256×

valid

Precisions

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

ival-add: 408.0ms (35.2% of total)

ival-mult: 313.0ms (27% of total)

ival-div: 231.0ms (19.9% of total)

ival->: 89.0ms (7.7% of total)

ival-sub: 84.0ms (7.3% of total)

ival-and: 15.0ms (1.3% of total)

exact: 14.0ms (1.2% of total)

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

Bogosity

preprocess556.0ms (3.8%)

Memory

-27.1MiB live, 673.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12 580×	`lower-fma.f64`
12 580×	`lower-fma.f32`
4 108×	`lower-*.f32`
4 098×	`lower-*.f64`
3 894×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	508
1	377	482
2	2068	478
0	17	53
0	29	53
1	76	53
2	324	53
3	2002	53
4	6883	53
0	8193	47

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(sort alpha beta)

explain271.0ms (1.8%)

Memory

26.9MiB live, 546.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
219	0	-	-	`(/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))))`
149	1	(1.5149831603449884e+38 3.2531263311708096e+273 8.804096450811954e+111)	-	`(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`i`
0	0	-	-	`(*.f64 i (+.f64 (+.f64 alpha beta) i))`
0	0	-	-	`(*.f64 #s(literal 2 binary64) i)`
0	0	-	-	`(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))`
0	0	-	-	`beta`
0	0	-	-	`(+.f64 alpha beta)`
0	0	-	-	`(-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))`
0	0	-	-	`(+.f64 (+.f64 alpha beta) i)`
0	0	-	-	`alpha`
0	0	-	-	`(*.f64 beta alpha)`
0	0	-	-	`(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))`
0	0	-	-	`(+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))`
0	0	-	-	`(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))`
0	0	-	-	`#s(literal 2 binary64)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))))`	o/o	167	0
↳	`(+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))`	overflow	148
↳	`(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))`	overflow	219
↳	`(*.f64 beta alpha)`	overflow	8
↳	`(*.f64 i (+.f64 (+.f64 alpha beta) i))`	overflow	294
↳	`(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))`	overflow	167
`/.f64`	`(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))`	o/o	129	0
↳	`(+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))`	overflow	148
↳	`(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))`	overflow	219
↳	`(*.f64 beta alpha)`	overflow	8
↳	`(*.f64 i (+.f64 (+.f64 alpha beta) i))`	overflow	294
↳	`(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))`	overflow	167
↳	`(/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))))`	overflow	129
↳	`(-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))`	overflow	167
↳	`(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))`	overflow	167
`/.f64`	`(/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))))`	o/n	52	0
↳	`(+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))`	overflow	148
↳	`(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))`	overflow	219
↳	`(*.f64 beta alpha)`	overflow	8
↳	`(*.f64 i (+.f64 (+.f64 alpha beta) i))`	overflow	294
`/.f64`	`(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))`	n/o	21	0
↳	`(-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))`	overflow	167
↳	`(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))`	overflow	167

Confusion

	Predicted +	Predicted -
+	219	0
-	0	37

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	219	0	0
-	0	0	37

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	37
1	69
2	150

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

55.0ms

512×

valid

Compiler

Compiled 482 to 72 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 14.0ms (43% of total)

ival-add: 9.0ms (27.6% of total)

ival-div: 7.0ms (21.5% of total)

ival-sub: 2.0ms (6.1% of total)

exact: 1.0ms (3.1% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	15.0%	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))

Status

Accuracy

Program

▶

15.0%

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

Compiler

Compiled 56 to 17 computations (69.6% saved)

simplify343.0ms (2.3%)

Memory

-19.5MiB live, 651.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))
✓	cost-diff	128	(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))
✓	cost-diff	128	(+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))
✓	cost-diff	384	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))

Rules

12 580×	`lower-fma.f64`
12 580×	`lower-fma.f32`
4 108×	`lower-*.f32`
4 098×	`lower-*.f64`
3 894×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	183
0	29	183
1	76	183
2	324	183
3	2002	183
4	6883	183
0	8193	166

Stop Event

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

Calls

Call 1

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

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

localize49.0ms (0.3%)

Memory

27.1MiB live, 144.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))
✓	accuracy	99.9%	(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))
✓	accuracy	44.4%	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
✓	accuracy	26.7%	(/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))))

Samples

26.0ms

256×

valid

Compiler

Compiled 185 to 19 computations (89.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 6.0ms (37.9% of total)

ival-add: 5.0ms (31.6% of total)

ival-div: 3.0ms (18.9% of total)

ival-sub: 1.0ms (6.3% of total)

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

exact: 0.0ms (0% of total)

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

series53.0ms (0.4%)

Memory

-16.1MiB live, 141.0MiB allocated

Counts

4 → 144

Calls

Call 1

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

Outputs
#<alt (/ (* alpha (* beta i)) (+ alpha beta))>
#<alt (* i (+ (* i (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta))))>
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#<alt (* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (+ (* 2 (/ beta (pow (+ alpha beta) 2))) (* i (- (/ 1 (pow (+ alpha beta) 2)) (+ (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (pow (+ alpha beta) 2))) (* 4 (/ (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta))))) (+ alpha beta)))))))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta))))>
#<alt (* 1/4 (pow i 2))>
#<alt (* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i))))>
#<alt (* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (+ alpha beta) i)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2))))))>
#<alt (* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 3))) (+ (* 1/4 (/ (+ alpha beta) i)) (+ (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/16 (pow (+ alpha beta) 2)) (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))))) (pow i 3))))))))>
#<alt (* 1/4 (pow i 2))>
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#<alt (* (pow i 2) (+ 1/4 (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* 1/4 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)) (* -1/16 (/ (pow (+ alpha beta) 2) i)))) i))))>
#<alt (* (pow i 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) (* 1/4 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) i)) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)))) i))) i))))>
#<alt (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2))>
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#<alt (+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 6)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 4)) (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (pow (+ beta (* 2 i)) 2))))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2))) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)))>
#<alt (* i (+ beta i))>
#<alt (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha))>
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#<alt (- (+ (* -1 (/ (+ (* (+ (* 2 beta) (* 4 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))))) (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2)))))>
#<alt (* -1 (* i (+ (* -1 beta) (* -1 i))))>
#<alt (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)))>
#<alt (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)))>
#<alt (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i)))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) alpha))) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)))>
#<alt (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2))>
#<alt (+ (* beta (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2)))>
#<alt (+ (* beta (- (+ (* beta (- (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2)) (+ (/ (* (+ (* 2 alpha) (* 4 i)) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 4))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2)))>
#<alt (+ (* beta (- (+ (* beta (- (+ (* beta (- (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 6)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 4)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2)) (+ (/ (* (+ (* 2 alpha) (* 4 i)) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 4))))) (pow (+ alpha (* 2 i)) 2))))) (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2))) (+ (/ (* (+ (* 2 alpha) (* 4 i)) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 4))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2)))>
#<alt (* i (+ alpha i))>
#<alt (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta))>
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#<alt (- (+ (* -1 (/ (+ (* (+ (* 2 alpha) (* 4 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))))) (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (+ (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 2)))))>
#<alt (* -1 (* i (+ (* -1 alpha) (* -1 i))))>
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#<alt (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i)))))))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))))) beta))) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta)))>
#<alt (/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))>
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#<alt (* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))>
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#<alt 1/16>
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#<alt 1/16>
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#<alt (* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ beta i) 2)) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) alpha))))>
#<alt (* (pow i 2) (pow (+ alpha i) 2))>
#<alt (+ (* beta (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2)))) (* (pow i 2) (pow (+ alpha i) 2)))>
#<alt (+ (* beta (+ (* beta (* i (+ alpha i))) (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))))) (* (pow i 2) (pow (+ alpha i) 2)))>
#<alt (+ (* beta (+ (* beta (* i (+ alpha i))) (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))))) (* (pow i 2) (pow (+ alpha i) 2)))>
#<alt (* (pow beta 2) (* i (+ alpha i)))>
#<alt (* (pow beta 2) (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)))>
#<alt (* (pow beta 2) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))))>
#<alt (* (pow beta 2) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))))>
#<alt (* -1 (* (pow beta 2) (* i (+ (* -1 alpha) (* -1 i)))))>
#<alt (* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) beta))))>
#<alt (* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ alpha i) 2)) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) beta))))>
#<alt (* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ alpha i) 2)) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) beta))))>
#<alt (pow (+ beta (* 2 i)) 2)>
#<alt (+ (* alpha (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2))>
#<alt (+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 2))>
#<alt (+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 2))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ i alpha)))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (* 2 (/ (+ beta (* 2 i)) alpha))))>
#<alt (* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (pow (+ beta (* 2 i)) 2) alpha))) alpha))))>
#<alt (* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (pow (+ beta (* 2 i)) 2) alpha))) alpha))))>
#<alt (pow (+ alpha (* 2 i)) 2)>
#<alt (+ (* beta (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2))>
#<alt (+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2))>
#<alt (+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 4 (/ i beta)))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (* 2 (/ (+ alpha (* 2 i)) beta))))>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (pow (+ alpha (* 2 i)) 2) beta))) beta))))>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (pow (+ alpha (* 2 i)) 2) beta))) beta))))>
#<alt (pow (+ alpha beta) 2)>
#<alt (+ (* 4 (* i (+ alpha beta))) (pow (+ alpha beta) 2))>
#<alt (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2))>
#<alt (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2))>
#<alt (* 4 (pow i 2))>
#<alt (* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i))))>
#<alt (* (pow i 2) (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2)))))>
#<alt (* (pow i 2) (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2)))))>
#<alt (* 4 (pow i 2))>
#<alt (* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i))))>
#<alt (* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (pow (+ alpha beta) 2) i))) i))))>
#<alt (* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (pow (+ alpha beta) 2) i))) i))))>

Calls

36 calls:

Time	Variable		Point	Expression
4.0ms	alpha	@	0	(/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1))
4.0ms	beta	@	0	(/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1))
3.0ms	i	@	-inf	(/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))
3.0ms	beta	@	0	(* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))
3.0ms	beta	@	-inf	(/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))

rewrite517.0ms (3.5%)

Memory

8.8MiB live, 766.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 174×	`lower-fma.f64`
5 174×	`lower-fma.f32`
4 888×	`lower-/.f32`
4 884×	`lower-/.f64`
4 186×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	122
0	29	98
1	146	98
2	1503	98
0	8201	91

Stop Event

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

Counts

4 → 417

Calls

Call 1

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

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

simplify529.0ms (3.6%)

Memory

-3.2MiB live, 761.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 902×	`lower-fma.f64`
7 902×	`lower-fma.f32`
7 822×	`lower-*.f64`
7 822×	`lower-*.f32`
6 148×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	987	11252
1	3468	10997
0	9243	10092

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

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

eval164.0ms (1.1%)

Memory: -0.1MiB live, 269.4MiB allocated
Compiler: Compiled 79 741 to 3 094 computations (96.1% saved)

prune197.0ms (1.3%)

Memory

37.8MiB live, 232.1MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	808	10	818
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	809	10	819

Accuracy

92.2%

Counts

819 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	12.2%	(/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)))) (.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))))
▶	12.2%	(/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))))
	9.8%	(/.f64 (.f64 (.f64 alpha beta) i) (*.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))
▶	18.4%	(/.f64 (.f64 i (+.f64 alpha i)) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
▶	15.7%	(/.f64 (.f64 i (+.f64 alpha i)) (.f64 beta beta))
	37.4%	(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
	43.7%	(.f64 (/.f64 (/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 1 binary64))) (/.f64 (/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))))
	38.7%	(.f64 (/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))))
▶	37.4%	(.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (/.f64 (/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))))
▶	74.7%	#s(literal 1/16 binary64)

Compiler

Compiled 654 to 258 computations (60.6% saved)

simplify698.0ms (4.7%)

Memory

-5.5MiB live, 473.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 i (+.f64 i (+.f64 alpha beta)))
✓	cost-diff	0	(.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (/.f64 (/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))))
✓	cost-diff	384	(fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta))
✓	cost-diff	384	(/.f64 (/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)))
✓	cost-diff	0	(*.f64 (+.f64 beta i) (+.f64 beta i))
✓	cost-diff	0	(*.f64 i i)
✓	cost-diff	0	(.f64 (.f64 i i) (*.f64 (+.f64 beta i) (+.f64 beta i)))
✓	cost-diff	0	(/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))))
✓	cost-diff	0	(*.f64 i (+.f64 alpha i))
✓	cost-diff	0	(/.f64 (.f64 i (+.f64 alpha i)) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
✓	cost-diff	128	(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))
✓	cost-diff	128	(-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 beta beta)
✓	cost-diff	0	(+.f64 alpha i)
✓	cost-diff	0	(*.f64 i (+.f64 alpha i))
✓	cost-diff	0	(/.f64 (.f64 i (+.f64 alpha i)) (.f64 beta beta))

Rules

7 290×	`lower-fma.f32`
7 280×	`lower-fma.f64`
4 852×	`lower-*.f32`
4 828×	`lower-*.f64`
3 174×	`lower-+.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	36	384
0	66	375
1	181	375
2	656	369
3	3288	367
4	6303	355
0	8019	355

Stop Event

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

Calls

Call 1

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

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

localize111.0ms (0.8%)

Memory

11.2MiB live, 246.1MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))
✓	accuracy	98.8%	(/.f64 (/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)))
✓	accuracy	39.0%	(.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (/.f64 (/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))))
✓	accuracy	36.8%	(/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))))
✓	accuracy	100.0%	(*.f64 (+.f64 beta i) (+.f64 beta i))
✓	accuracy	99.9%	(.f64 (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))
✓	accuracy	99.9%	(.f64 (.f64 i i) (*.f64 (+.f64 beta i) (+.f64 beta i)))
✓	accuracy	14.6%	(/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) i)
✓	accuracy	100.0%	(*.f64 i (+.f64 alpha i))
✓	accuracy	100.0%	(.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))
✓	accuracy	44.4%	(/.f64 (.f64 i (+.f64 alpha i)) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
✓	accuracy	100.0%	(+.f64 alpha i)
✓	accuracy	100.0%	(*.f64 beta beta)
✓	accuracy	100.0%	(*.f64 i (+.f64 alpha i))
✓	accuracy	75.5%	(/.f64 (.f64 i (+.f64 alpha i)) (.f64 beta beta))

Samples

59.0ms

256×

valid

Compiler

Compiled 424 to 39 computations (90.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 18.0ms (47.8% of total)

ival-add: 12.0ms (31.9% of total)

ival-div: 7.0ms (18.6% of total)

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

exact: 1.0ms (2.7% of total)

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

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

series82.0ms (0.6%)

Memory

-14.5MiB live, 157.0MiB allocated

Counts

15 → 420

Calls

Call 1

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

Outputs
#<alt (/ (* alpha i) (pow beta 2))>
#<alt (* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2))))>
#<alt (* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2))))>
#<alt (* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2))))>
#<alt (/ (pow i 2) (pow beta 2))>
#<alt (* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))>
#<alt (* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))>
#<alt (* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))>
#<alt (/ (pow i 2) (pow beta 2))>
#<alt (* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))>
#<alt (* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))>
#<alt (* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))>
#<alt (/ (pow i 2) (pow beta 2))>
#<alt (+ (/ (* alpha i) (pow beta 2)) (/ (pow i 2) (pow beta 2)))>
#<alt (+ (/ (* alpha i) (pow beta 2)) (/ (pow i 2) (pow beta 2)))>
#<alt (+ (/ (* alpha i) (pow beta 2)) (/ (pow i 2) (pow beta 2)))>
#<alt (/ (* alpha i) (pow beta 2))>
#<alt (* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2)))))>
#<alt (* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2)))))>
#<alt (* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2)))))>
#<alt (/ (* alpha i) (pow beta 2))>
#<alt (* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2)))))))>
#<alt (* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2)))))))>
#<alt (* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2)))))))>
#<alt (/ (* i (+ alpha i)) (pow beta 2))>
#<alt (/ (* i (+ alpha i)) (pow beta 2))>
#<alt (/ (* i (+ alpha i)) (pow beta 2))>
#<alt (/ (* i (+ alpha i)) (pow beta 2))>
#<alt (/ (* i (+ alpha i)) (pow beta 2))>
#<alt (/ (* i (+ alpha i)) (pow beta 2))>
#<alt (/ (* i (+ alpha i)) (pow beta 2))>
#<alt (/ (* i (+ alpha i)) (pow beta 2))>
#<alt (/ (* i (+ alpha i)) (pow beta 2))>
#<alt (/ (* i (+ alpha i)) (pow beta 2))>
#<alt (/ (* i (+ alpha i)) (pow beta 2))>
#<alt (/ (* i (+ alpha i)) (pow beta 2))>
#<alt (* alpha i)>
#<alt (* i (+ alpha i))>
#<alt (* i (+ alpha i))>
#<alt (* i (+ alpha i))>
#<alt (pow i 2)>
#<alt (* (pow i 2) (+ 1 (/ alpha i)))>
#<alt (* (pow i 2) (+ 1 (/ alpha i)))>
#<alt (* (pow i 2) (+ 1 (/ alpha i)))>
#<alt (pow i 2)>
#<alt (* (pow i 2) (+ 1 (/ alpha i)))>
#<alt (* (pow i 2) (+ 1 (/ alpha i)))>
#<alt (* (pow i 2) (+ 1 (/ alpha i)))>
#<alt (pow i 2)>
#<alt (+ (* alpha i) (pow i 2))>
#<alt (+ (* alpha i) (pow i 2))>
#<alt (+ (* alpha i) (pow i 2))>
#<alt (* alpha i)>
#<alt (* alpha (+ i (/ (pow i 2) alpha)))>
#<alt (* alpha (+ i (/ (pow i 2) alpha)))>
#<alt (* alpha (+ i (/ (pow i 2) alpha)))>
#<alt (* alpha i)>
#<alt (* -1 (* alpha (+ (* -1 i) (* -1 (/ (pow i 2) alpha)))))>
#<alt (* -1 (* alpha (+ (* -1 i) (* -1 (/ (pow i 2) alpha)))))>
#<alt (* -1 (* alpha (+ (* -1 i) (* -1 (/ (pow i 2) alpha)))))>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt i>
#<alt (+ alpha i)>
#<alt (+ alpha i)>
#<alt (+ alpha i)>
#<alt alpha>
#<alt (* alpha (+ 1 (/ i alpha)))>
#<alt (* alpha (+ 1 (/ i alpha)))>
#<alt (* alpha (+ 1 (/ i alpha)))>
#<alt alpha>
#<alt (* -1 (* alpha (- (* -1 (/ i alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ i alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ i alpha)) 1)))>
#<alt alpha>
#<alt (+ alpha i)>
#<alt (+ alpha i)>
#<alt (+ alpha i)>
#<alt i>
#<alt (* i (+ 1 (/ alpha i)))>
#<alt (* i (+ 1 (/ alpha i)))>
#<alt (* i (+ 1 (/ alpha i)))>
#<alt i>
#<alt (* -1 (* i (- (* -1 (/ alpha i)) 1)))>
#<alt (* -1 (* i (- (* -1 (/ alpha i)) 1)))>
#<alt (* -1 (* i (- (* -1 (/ alpha i)) 1)))>
#<alt (/ (* alpha i) (- (pow (+ alpha beta) 2) 1))>
#<alt (* i (+ (* i (- (/ 1 (- (pow (+ alpha beta) 2) 1)) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ alpha (- (pow (+ alpha beta) 2) 1))))>
#<alt (* i (+ (* i (- (+ (* -1 (* i (+ (* 4 (/ alpha (pow (- (pow (+ alpha beta) 2) 1) 2))) (* 4 (/ (* (+ alpha beta) (- (/ 1 (- (pow (+ alpha beta) 2) 1)) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (- (pow (+ alpha beta) 2) 1)))))) (/ 1 (- (pow (+ alpha beta) 2) 1))) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ alpha (- (pow (+ alpha beta) 2) 1))))>
#<alt (* i (+ (* i (- (+ (* i (- (* -1 (* i (+ (* -4 (/ (* (+ alpha beta) (+ (* 4 (/ alpha (pow (- (pow (+ alpha beta) 2) 1) 2))) (* 4 (/ (* (+ alpha beta) (- (/ 1 (- (pow (+ alpha beta) 2) 1)) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (- (pow (+ alpha beta) 2) 1))))) (- (pow (+ alpha beta) 2) 1))) (* 4 (/ (- (/ 1 (- (pow (+ alpha beta) 2) 1)) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (- (pow (+ alpha beta) 2) 1)))))) (+ (* 4 (/ alpha (pow (- (pow (+ alpha beta) 2) 1) 2))) (* 4 (/ (* (+ alpha beta) (- (/ 1 (- (pow (+ alpha beta) 2) 1)) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (- (pow (+ alpha beta) 2) 1)))))) (/ 1 (- (pow (+ alpha beta) 2) 1))) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ alpha (- (pow (+ alpha beta) 2) 1))))>
#<alt 1/4>
#<alt (- (+ 1/4 (* 1/4 (/ alpha i))) (* 1/4 (/ (+ alpha beta) i)))>
#<alt (- (+ 1/4 (+ (* -1 (/ (+ (* 1/16 (- (pow (+ alpha beta) 2) 1)) (* (+ alpha beta) (- (* 1/4 alpha) (* 1/4 (+ alpha beta))))) (pow i 2))) (* 1/4 (/ alpha i)))) (* 1/4 (/ (+ alpha beta) i)))>
#<alt (- (+ 1/4 (+ (* -1 (/ (+ (* -1 (* (+ alpha beta) (+ (* 1/16 (- (pow (+ alpha beta) 2) 1)) (* (+ alpha beta) (- (* 1/4 alpha) (* 1/4 (+ alpha beta))))))) (* 1/4 (* (- (* 1/4 alpha) (* 1/4 (+ alpha beta))) (- (pow (+ alpha beta) 2) 1)))) (pow i 3))) (* 1/4 (/ alpha i)))) (+ (* 1/16 (/ (- (pow (+ alpha beta) 2) 1) (pow i 2))) (+ (* 1/4 (/ (+ alpha beta) i)) (/ (* (+ alpha beta) (- (* 1/4 alpha) (* 1/4 (+ alpha beta)))) (pow i 2)))))>
#<alt 1/4>
#<alt (- (+ 1/4 (* 1/4 (/ alpha i))) (* 1/4 (/ (+ alpha beta) i)))>
#<alt (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 alpha) (* 1/4 (+ alpha beta)))) (* -1 (/ (+ (* -1 (* (+ alpha beta) (- (* 1/4 alpha) (* 1/4 (+ alpha beta))))) (* -1/16 (- (pow (+ alpha beta) 2) 1))) i))) i)))>
#<alt (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 alpha) (* 1/4 (+ alpha beta)))) (* -1 (/ (+ (* -1 (* (+ alpha beta) (- (* 1/4 alpha) (* 1/4 (+ alpha beta))))) (+ (* -1 (/ (+ (* 1/4 (* (- (* 1/4 alpha) (* 1/4 (+ alpha beta))) (- (pow (+ alpha beta) 2) 1))) (* (+ alpha beta) (+ (* -1 (* (+ alpha beta) (- (* 1/4 alpha) (* 1/4 (+ alpha beta))))) (* -1/16 (- (pow (+ alpha beta) 2) 1))))) i)) (* -1/16 (- (pow (+ alpha beta) 2) 1)))) i))) i)))>
#<alt (/ (pow i 2) (- (pow (+ beta (* 2 i)) 2) 1))>
#<alt (+ (* alpha (- (/ i (- (pow (+ beta (* 2 i)) 2) 1)) (/ (* (pow i 2) (+ (* 2 beta) (* 4 i))) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))) (/ (pow i 2) (- (pow (+ beta (* 2 i)) 2) 1)))>
#<alt (+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ i (- (pow (+ beta (* 2 i)) 2) 1)) (/ (* (pow i 2) (+ (* 2 beta) (* 4 i))) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))) (- (pow (+ beta (* 2 i)) 2) 1)) (/ (pow i 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ i (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (+ (* 2 beta) (* 4 i))) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))) (/ (pow i 2) (- (pow (+ beta (* 2 i)) 2) 1)))>
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#<alt (* 2 i)>
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#<alt (* 2 i)>
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#<alt 1/16>
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#<alt 1/16>
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#<alt (* 16 (pow i 4))>
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#<alt (* 16 (pow i 4))>
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#<alt (pow beta 4)>
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#<alt (pow beta 4)>
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#<alt (pow i 2)>
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#<alt (pow beta 2)>
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#<alt (pow beta 2)>
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#<alt (pow beta 2)>
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#<alt (pow i 2)>
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#<alt 1/16>
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#<alt 1/16>
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#<alt (/ (- (+ 1/16 (+ (* -1 (/ (+ (* 1/256 (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3)))) (+ (* 1/16 (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* 2 (* (+ alpha beta) (- (* 1/16 (* alpha beta)) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) (* 2 (* (+ alpha beta) (- (* 1/16 (+ alpha beta)) (* 1/8 (+ alpha beta))))))))))) (pow i 3))) (+ (* 1/16 (/ (* alpha beta) (pow i 2))) (* 1/16 (/ (+ alpha beta) i))))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/8 (/ (+ alpha beta) i)) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ alpha beta)) (* 1/8 (+ alpha beta)))) (pow i 2)))))) (pow i 2))>
#<alt (/ 1/16 (pow i 2))>
#<alt (/ (+ 1/16 (* -1 (/ (- (* -1/16 (+ alpha beta)) (* -1/8 (+ alpha beta))) i))) (pow i 2))>
#<alt (/ (+ 1/16 (* -1 (/ (- (+ (* -1 (/ (- (* 1/16 (* alpha beta)) (+ (* -2 (* (+ alpha beta) (- (* -1/16 (+ alpha beta)) (* -1/8 (+ alpha beta))))) (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))))) i)) (* -1/16 (+ alpha beta))) (* -1/8 (+ alpha beta))) i))) (pow i 2))>
#<alt (/ (+ 1/16 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (* alpha beta)) (+ (* -2 (* (+ alpha beta) (- (* -1/16 (+ alpha beta)) (* -1/8 (+ alpha beta))))) (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* 1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (+ (* 1/16 (* alpha beta)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* -1/16 (+ alpha beta)) (* -1/8 (+ alpha beta)))) i))))) (+ (* -2 (* (+ alpha beta) (- (* -1/16 (+ alpha beta)) (* -1/8 (+ alpha beta))))) (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))))) i)) (* -1/16 (+ alpha beta))) (* -1/8 (+ alpha beta))) i))) (pow i 2))>
#<alt (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))>
#<alt (+ (* alpha (- (+ (/ beta (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ i (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* i (* (+ beta i) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))))>
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#<alt (/ (+ beta i) (pow alpha 3))>
#<alt (/ (- (+ beta (+ i (/ (* i (+ beta i)) alpha))) (/ (* (+ beta i) (+ (* 4 beta) (* 8 i))) alpha)) (pow alpha 3))>
#<alt (/ (- (+ beta (+ i (+ (* -1 (/ (+ (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ beta i)) (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))) (/ (* i (+ beta i)) alpha)))) (/ (* (+ beta i) (+ (* 4 beta) (* 8 i))) alpha)) (pow alpha 3))>
#<alt (/ (- (+ beta (+ i (+ (* -1 (/ (+ (* -1 (* (+ (* 4 beta) (* 8 i)) (+ (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ beta i)) (* (+ beta i) (+ (* 4 beta) (* 8 i)))))))) (+ (* (+ beta i) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i))))) (* (- (* i (+ beta i)) (* (+ beta i) (+ (* 4 beta) (* 8 i)))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)))) (pow alpha 3))) (/ (* i (+ beta i)) alpha)))) (+ (/ (* (+ beta i) (+ (* 4 beta) (* 8 i))) alpha) (+ (/ (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ beta i)) (* (+ beta i) (+ (* 4 beta) (* 8 i))))) (pow alpha 2))))) (pow alpha 3))>
#<alt (* -1 (/ (+ (* -1 beta) (* -1 i)) (pow alpha 3)))>
#<alt (* -1 (/ (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (- (* i (+ beta i)) (* -4 (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))) alpha)))) (pow alpha 3)))>
#<alt (* -1 (/ (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* -4 (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)) (+ (* i (+ beta i)) (/ (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha))) (* -4 (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))) alpha)))) (pow alpha 3)))>
#<alt (* -1 (/ (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (- (+ (* 4 (/ (* (+ beta (* 2 i)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* -4 (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))) alpha)) (+ (/ (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i))) alpha) (/ (* (- (* i (+ beta i)) (* -4 (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* -4 (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))) alpha)) (* i (+ beta i))) (* -4 (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))) alpha)))) (pow alpha 3)))>
#<alt (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))>
#<alt (+ (* beta (- (+ (/ alpha (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ i (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (/ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))))>
#<alt (+ (* beta (- (+ (* -1 (* beta (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))) (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (+ (/ alpha (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ i (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (/ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))))) (+ (/ alpha (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ i (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))))) (/ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))))>
#<alt (+ (* beta (- (+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))) (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (+ (/ alpha (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ i (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (/ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))) (/ (* (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1) (- (+ (/ alpha (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ i (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (/ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))))))) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))) (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (+ (/ alpha (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ i (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (/ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))))) (+ (/ alpha (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ i (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))))) (/ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))))>
#<alt (/ (+ alpha i) (pow beta 3))>
#<alt (/ (- (+ alpha (+ i (/ (* i (+ alpha i)) beta))) (/ (* (+ alpha i) (+ (* 4 alpha) (* 8 i))) beta)) (pow beta 3))>
#<alt (/ (- (+ alpha (+ i (+ (* -1 (/ (+ (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ alpha i)) (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))) (/ (* i (+ alpha i)) beta)))) (/ (* (+ alpha i) (+ (* 4 alpha) (* 8 i))) beta)) (pow beta 3))>
#<alt (/ (- (+ alpha (+ i (+ (* -1 (/ (+ (* -1 (* (+ (* 4 alpha) (* 8 i)) (+ (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ alpha i)) (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))))) (+ (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i))))) (* (- (* i (+ alpha i)) (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (pow beta 3))) (/ (* i (+ alpha i)) beta)))) (+ (/ (* (+ alpha i) (+ (* 4 alpha) (* 8 i))) beta) (+ (/ (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ alpha i)) (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) (pow beta 2))))) (pow beta 3))>
#<alt (* -1 (/ (+ (* -1 alpha) (* -1 i)) (pow beta 3)))>
#<alt (* -1 (/ (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (- (* i (+ alpha i)) (* -4 (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))) beta)))) (pow beta 3)))>
#<alt (* -1 (/ (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* i (+ alpha i)) (* -4 (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta)) (+ (* i (+ alpha i)) (/ (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta))) (* -4 (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))) beta)))) (pow beta 3)))>
#<alt (* -1 (/ (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (- (+ (* 4 (/ (* (+ alpha (* 2 i)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ alpha i)) (* -4 (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))))) (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))) beta)) (+ (/ (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i))) beta) (/ (* (- (* i (+ alpha i)) (* -4 (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ alpha i)) (* -4 (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))))) (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))) beta)) (* i (+ alpha i))) (* -4 (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))) beta)))) (pow beta 3)))>
#<alt (pow (+ alpha beta) 2)>
#<alt (+ (* 4 (* i (+ alpha beta))) (pow (+ alpha beta) 2))>
#<alt (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2))>
#<alt (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2))>
#<alt (* 4 (pow i 2))>
#<alt (* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i))))>
#<alt (* (pow i 2) (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2)))))>
#<alt (* (pow i 2) (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2)))))>
#<alt (* 4 (pow i 2))>
#<alt (* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i))))>
#<alt (* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (pow (+ alpha beta) 2) i))) i))))>
#<alt (* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (pow (+ alpha beta) 2) i))) i))))>
#<alt (pow (+ beta (* 2 i)) 2)>
#<alt (+ (* alpha (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2))>
#<alt (+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 2))>
#<alt (+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 2))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ i alpha)))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (* 2 (/ (+ beta (* 2 i)) alpha))))>
#<alt (* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (pow (+ beta (* 2 i)) 2) alpha))) alpha))))>
#<alt (* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (pow (+ beta (* 2 i)) 2) alpha))) alpha))))>
#<alt (pow (+ alpha (* 2 i)) 2)>
#<alt (+ (* beta (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2))>
#<alt (+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2))>
#<alt (+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 4 (/ i beta)))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (* 2 (/ (+ alpha (* 2 i)) beta))))>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (pow (+ alpha (* 2 i)) 2) beta))) beta))))>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (pow (+ alpha (* 2 i)) 2) beta))) beta))))>

Calls

105 calls:

Time	Variable		Point	Expression
8.0ms	beta	@	inf	(/ (* (* i i) (* (+ beta i) (+ beta i))) (* (* (+ (* i 2) beta) (+ (* i 2) beta)) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1)))
7.0ms	i	@	inf	(/ (* i (+ alpha i)) (* beta beta))
4.0ms	beta	@	0	(/ (* i (+ alpha i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1))
2.0ms	alpha	@	0	(/ (/ (+ (* i (+ i (+ alpha beta))) (* alpha beta)) (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta)))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1))
2.0ms	beta	@	0	(/ (/ (+ (* i (+ i (+ alpha beta))) (* alpha beta)) (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta)))) (+ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) -1))

rewrite913.0ms (6.2%)

Memory

-4.8MiB live, 721.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 668×	`lower-/.f32`
4 658×	`lower-/.f64`
4 484×	`lower-*.f32`
4 460×	`lower-*.f64`
3 650×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	254
0	65	196
1	341	190
2	3118	189
0	8667	189

Stop Event

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

Counts

15 → 1 404

Calls

Call 1

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

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

simplify592.0ms (4%)

Memory

4.8MiB live, 706.1MiB allocated

Algorithm

1×	egg-herbie

Rules

7 040×	`lower-*.f64`
7 040×	`lower-*.f32`
6 082×	`lower-fma.f64`
6 082×	`lower-fma.f32`
4 110×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1964	21431
1	6796	21419
0	8216	19491

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 414

Calls

Call 1

Inputs
(/ (* alpha i) (pow beta 2))
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2))))
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2))))
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2))))
(/ (pow i 2) (pow beta 2))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
(/ (pow i 2) (pow beta 2))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))
(/ (pow i 2) (pow beta 2))
(+ (/ (* alpha i) (pow beta 2)) (/ (pow i 2) (pow beta 2)))
(+ (/ (* alpha i) (pow beta 2)) (/ (pow i 2) (pow beta 2)))
(+ (/ (* alpha i) (pow beta 2)) (/ (pow i 2) (pow beta 2)))
(/ (* alpha i) (pow beta 2))
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2)))))
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2)))))
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2)))))
(/ (* alpha i) (pow beta 2))
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2)))))))
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2)))))))
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2)))))))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(* alpha i)
(* i (+ alpha i))
(* i (+ alpha i))
(* i (+ alpha i))
(pow i 2)
(* (pow i 2) (+ 1 (/ alpha i)))
(* (pow i 2) (+ 1 (/ alpha i)))
(* (pow i 2) (+ 1 (/ alpha i)))
(pow i 2)
(* (pow i 2) (+ 1 (/ alpha i)))
(* (pow i 2) (+ 1 (/ alpha i)))
(* (pow i 2) (+ 1 (/ alpha i)))
(pow i 2)
(+ (* alpha i) (pow i 2))
(+ (* alpha i) (pow i 2))
(+ (* alpha i) (pow i 2))
(* alpha i)
(* alpha (+ i (/ (pow i 2) alpha)))
(* alpha (+ i (/ (pow i 2) alpha)))
(* alpha (+ i (/ (pow i 2) alpha)))
(* alpha i)
(* -1 (* alpha (+ (* -1 i) (* -1 (/ (pow i 2) alpha)))))
(* -1 (* alpha (+ (* -1 i) (* -1 (/ (pow i 2) alpha)))))
(* -1 (* alpha (+ (* -1 i) (* -1 (/ (pow i 2) alpha)))))
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
i
(+ alpha i)
(+ alpha i)
(+ alpha i)
alpha
(* alpha (+ 1 (/ i alpha)))
(* alpha (+ 1 (/ i alpha)))
(* alpha (+ 1 (/ i alpha)))
alpha
(* -1 (* alpha (- (* -1 (/ i alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ i alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ i alpha)) 1)))
alpha
(+ alpha i)
(+ alpha i)
(+ alpha i)
i
(* i (+ 1 (/ alpha i)))
(* i (+ 1 (/ alpha i)))
(* i (+ 1 (/ alpha i)))
i
(* -1 (* i (- (* -1 (/ alpha i)) 1)))
(* -1 (* i (- (* -1 (/ alpha i)) 1)))
(* -1 (* i (- (* -1 (/ alpha i)) 1)))
(/ (* alpha i) (- (pow (+ alpha beta) 2) 1))
(* i (+ (* i (- (/ 1 (- (pow (+ alpha beta) 2) 1)) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ alpha (- (pow (+ alpha beta) 2) 1))))
(* i (+ (* i (- (+ (* -1 (* i (+ (* 4 (/ alpha (pow (- (pow (+ alpha beta) 2) 1) 2))) (* 4 (/ (* (+ alpha beta) (- (/ 1 (- (pow (+ alpha beta) 2) 1)) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (- (pow (+ alpha beta) 2) 1)))))) (/ 1 (- (pow (+ alpha beta) 2) 1))) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ alpha (- (pow (+ alpha beta) 2) 1))))
(* i (+ (* i (- (+ (* i (- (* -1 (* i (+ (* -4 (/ (* (+ alpha beta) (+ (* 4 (/ alpha (pow (- (pow (+ alpha beta) 2) 1) 2))) (* 4 (/ (* (+ alpha beta) (- (/ 1 (- (pow (+ alpha beta) 2) 1)) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (- (pow (+ alpha beta) 2) 1))))) (- (pow (+ alpha beta) 2) 1))) (* 4 (/ (- (/ 1 (- (pow (+ alpha beta) 2) 1)) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (- (pow (+ alpha beta) 2) 1)))))) (+ (* 4 (/ alpha (pow (- (pow (+ alpha beta) 2) 1) 2))) (* 4 (/ (* (+ alpha beta) (- (/ 1 (- (pow (+ alpha beta) 2) 1)) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (- (pow (+ alpha beta) 2) 1)))))) (/ 1 (- (pow (+ alpha beta) 2) 1))) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ alpha (- (pow (+ alpha beta) 2) 1))))
1/4
(- (+ 1/4 (* 1/4 (/ alpha i))) (* 1/4 (/ (+ alpha beta) i)))
(- (+ 1/4 (+ (* -1 (/ (+ (* 1/16 (- (pow (+ alpha beta) 2) 1)) (* (+ alpha beta) (- (* 1/4 alpha) (* 1/4 (+ alpha beta))))) (pow i 2))) (* 1/4 (/ alpha i)))) (* 1/4 (/ (+ alpha beta) i)))
(- (+ 1/4 (+ (* -1 (/ (+ (* -1 (* (+ alpha beta) (+ (* 1/16 (- (pow (+ alpha beta) 2) 1)) (* (+ alpha beta) (- (* 1/4 alpha) (* 1/4 (+ alpha beta))))))) (* 1/4 (* (- (* 1/4 alpha) (* 1/4 (+ alpha beta))) (- (pow (+ alpha beta) 2) 1)))) (pow i 3))) (* 1/4 (/ alpha i)))) (+ (* 1/16 (/ (- (pow (+ alpha beta) 2) 1) (pow i 2))) (+ (* 1/4 (/ (+ alpha beta) i)) (/ (* (+ alpha beta) (- (* 1/4 alpha) (* 1/4 (+ alpha beta)))) (pow i 2)))))
1/4
(- (+ 1/4 (* 1/4 (/ alpha i))) (* 1/4 (/ (+ alpha beta) i)))
(+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 alpha) (* 1/4 (+ alpha beta)))) (* -1 (/ (+ (* -1 (* (+ alpha beta) (- (* 1/4 alpha) (* 1/4 (+ alpha beta))))) (* -1/16 (- (pow (+ alpha beta) 2) 1))) i))) i)))
(+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 alpha) (* 1/4 (+ alpha beta)))) (* -1 (/ (+ (* -1 (* (+ alpha beta) (- (* 1/4 alpha) (* 1/4 (+ alpha beta))))) (+ (* -1 (/ (+ (* 1/4 (* (- (* 1/4 alpha) (* 1/4 (+ alpha beta))) (- (pow (+ alpha beta) 2) 1))) (* (+ alpha beta) (+ (* -1 (* (+ alpha beta) (- (* 1/4 alpha) (* 1/4 (+ alpha beta))))) (* -1/16 (- (pow (+ alpha beta) 2) 1))))) i)) (* -1/16 (- (pow (+ alpha beta) 2) 1)))) i))) i)))
(/ (pow i 2) (- (pow (+ beta (* 2 i)) 2) 1))
(+ (* alpha (- (/ i (- (pow (+ beta (* 2 i)) 2) 1)) (/ (* (pow i 2) (+ (* 2 beta) (* 4 i))) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))) (/ (pow i 2) (- (pow (+ beta (* 2 i)) 2) 1)))
(+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ i (- (pow (+ beta (* 2 i)) 2) 1)) (/ (* (pow i 2) (+ (* 2 beta) (* 4 i))) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))) (- (pow (+ beta (* 2 i)) 2) 1)) (/ (pow i 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ i (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (+ (* 2 beta) (* 4 i))) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))) (/ (pow i 2) (- (pow (+ beta (* 2 i)) 2) 1)))
(+ (* alpha (- (+ (* alpha (- (* alpha (- (/ (* (pow i 2) (+ (* 2 beta) (* 4 i))) (pow (- (pow (+ beta (* 2 i)) 2) 1) 3)) (+ (* -1 (/ (* (+ (* 2 beta) (* 4 i)) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ i (- (pow (+ beta (* 2 i)) 2) 1)) (/ (* (pow i 2) (+ (* 2 beta) (* 4 i))) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))) (- (pow (+ beta (* 2 i)) 2) 1)) (/ (pow i 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))) (- (pow (+ beta (* 2 i)) 2) 1))) (/ i (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ i (- (pow (+ beta (* 2 i)) 2) 1)) (/ (* (pow i 2) (+ (* 2 beta) (* 4 i))) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))) (- (pow (+ beta (* 2 i)) 2) 1)) (/ (pow i 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ i (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (+ (* 2 beta) (* 4 i))) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))) (/ (pow i 2) (- (pow (+ beta (* 2 i)) 2) 1)))
(/ i alpha)
(/ (- (+ i (/ (pow i 2) alpha)) (/ (* i (+ (* 2 beta) (* 4 i))) alpha)) alpha)
(/ (- (+ i (+ (* -1 (/ (+ (* i (- (pow (+ beta (* 2 i)) 2) 1)) (* (+ (* 2 beta) (* 4 i)) (- (pow i 2) (* i (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))) (/ (pow i 2) alpha))) (/ (* i (+ (* 2 beta) (* 4 i))) alpha)) alpha)
(/ (- (+ i (+ (* -1 (/ (+ (* -1 (* (+ (* 2 beta) (* 4 i)) (+ (* i (- (pow (+ beta (* 2 i)) 2) 1)) (* (+ (* 2 beta) (* 4 i)) (- (pow i 2) (* i (+ (* 2 beta) (* 4 i)))))))) (* (- (pow i 2) (* i (+ (* 2 beta) (* 4 i)))) (- (pow (+ beta (* 2 i)) 2) 1))) (pow alpha 3))) (/ (pow i 2) alpha))) (+ (/ (* i (+ (* 2 beta) (* 4 i))) alpha) (+ (/ (* i (- (pow (+ beta (* 2 i)) 2) 1)) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (pow i 2) (* i (+ (* 2 beta) (* 4 i))))) (pow alpha 2))))) alpha)
(/ i alpha)
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (pow i 2) (* 2 (* i (+ beta (* 2 i))))) alpha))) alpha))
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -2 (/ (* (+ beta (* 2 i)) (- (pow i 2) (* 2 (* i (+ beta (* 2 i)))))) alpha)) (+ (* -1 (/ (* i (- (pow (+ beta (* 2 i)) 2) 1)) alpha)) (pow i 2))) (* 2 (* i (+ beta (* 2 i))))) alpha))) alpha))
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (- (+ (* 2 (/ (* (+ beta (* 2 i)) (+ (* -2 (* (+ beta (* 2 i)) (- (pow i 2) (* 2 (* i (+ beta (* 2 i))))))) (* -1 (* i (- (pow (+ beta (* 2 i)) 2) 1))))) alpha)) (/ (* (- (pow i 2) (* 2 (* i (+ beta (* 2 i))))) (- (pow (+ beta (* 2 i)) 2) 1)) alpha)) (+ (* -2 (* (+ beta (* 2 i)) (- (pow i 2) (* 2 (* i (+ beta (* 2 i))))))) (* -1 (* i (- (pow (+ beta (* 2 i)) 2) 1))))) alpha)) (pow i 2)) (* 2 (* i (+ beta (* 2 i))))) alpha))) alpha))
(/ (* i (+ alpha i)) (- (pow (+ alpha (* 2 i)) 2) 1))
(+ (* -1 (/ (* beta (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))) (/ (* i (+ alpha i)) (- (pow (+ alpha (* 2 i)) 2) 1)))
(+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* i (* (+ alpha i) (pow (+ (* 2 alpha) (* 4 i)) 2))) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 3))) (/ (* i (+ alpha i)) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))) (/ (* i (+ alpha i)) (- (pow (+ alpha (* 2 i)) 2) 1)))
(+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1 (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 3))) (* -1 (/ (* (+ (* -1 (/ (* i (* (+ alpha i) (pow (+ (* 2 alpha) (* 4 i)) 2))) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 3))) (/ (* i (+ alpha i)) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))) (+ (* 2 alpha) (* 4 i))) (- (pow (+ alpha (* 2 i)) 2) 1)))))) (+ (* -1 (/ (* i (* (+ alpha i) (pow (+ (* 2 alpha) (* 4 i)) 2))) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 3))) (/ (* i (+ alpha i)) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))) (/ (* i (+ alpha i)) (- (pow (+ alpha (* 2 i)) 2) 1)))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (+ (* -1 (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta)) (* i (+ alpha i))) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* -1 (* i (* (+ alpha i) (pow (+ (* 2 alpha) (* 4 i)) 2)))) (* i (* (+ alpha i) (- (pow (+ alpha (* 2 i)) 2) 1)))) (pow beta 2))) (* i (+ alpha i))) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta)) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* -1 (* i (* (+ alpha i) (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1))))) (* -1 (* (+ (* -1 (* i (* (+ alpha i) (pow (+ (* 2 alpha) (* 4 i)) 2)))) (* i (* (+ alpha i) (- (pow (+ alpha (* 2 i)) 2) 1)))) (+ (* 2 alpha) (* 4 i))))) (pow beta 3))) (* i (+ alpha i))) (+ (* -1 (/ (* i (* (+ alpha i) (pow (+ (* 2 alpha) (* 4 i)) 2))) (pow beta 2))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (/ (* i (* (+ alpha i) (- (pow (+ alpha (* 2 i)) 2) 1))) (pow beta 2))))) (pow beta 2))
(/ (* i (+ alpha i)) (pow beta 2))
(/ (+ (* -2 (/ (* i (* (+ alpha i) (+ alpha (* 2 i)))) beta)) (* i (+ alpha i))) (pow beta 2))
(/ (+ (* -1 (/ (- (+ (* -4 (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) beta)) (/ (* i (* (+ alpha i) (- (pow (+ alpha (* 2 i)) 2) 1))) beta)) (* -2 (* i (* (+ alpha i) (+ alpha (* 2 i)))))) beta)) (* i (+ alpha i))) (pow beta 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* i (* (+ alpha i) (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1)))) beta)) (* 2 (/ (* (+ alpha (* 2 i)) (+ (* -4 (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2)))) (* i (* (+ alpha i) (- (pow (+ alpha (* 2 i)) 2) 1))))) beta))) (+ (* -4 (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2)))) (* i (* (+ alpha i) (- (pow (+ alpha (* 2 i)) 2) 1))))) beta)) (* -2 (* i (* (+ alpha i) (+ alpha (* 2 i)))))) beta)) (* i (+ alpha i))) (pow beta 2))
(pow (+ beta (* 2 i)) 2)
(+ (* alpha (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2))
(+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 2))
(+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 2))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ i alpha)))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* 2 (/ (+ beta (* 2 i)) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (pow (+ beta (* 2 i)) 2) alpha))) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (pow (+ beta (* 2 i)) 2) alpha))) alpha))))
(pow (+ alpha (* 2 i)) 2)
(+ (* beta (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2))
(+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2))
(+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2))
(pow beta 2)
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 4 (/ i beta)))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))))
(pow beta 2)
(* (pow beta 2) (+ 1 (* 2 (/ (+ alpha (* 2 i)) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (pow (+ alpha (* 2 i)) 2) beta))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (pow (+ alpha (* 2 i)) 2) beta))) beta))))
(pow (+ alpha beta) 2)
(+ (* 4 (* i (+ alpha beta))) (pow (+ alpha beta) 2))
(+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2))
(+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2))
(* 4 (pow i 2))
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i))))
(* (pow i 2) (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2)))))
(* (pow i 2) (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2)))))
(* 4 (pow i 2))
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i))))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (pow (+ alpha beta) 2) i))) i))))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (pow (+ alpha beta) 2) i))) i))))
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(/ (pow i 2) (- (pow beta 2) 1))
(* (pow i 2) (+ (* -1 (* i (+ (* 2 (/ 1 (* beta (- (pow beta 2) 1)))) (* 4 (/ beta (pow (- (pow beta 2) 1) 2)))))) (/ 1 (- (pow beta 2) 1))))
(* (pow i 2) (+ (* i (- (* -1 (* i (+ (* -1 (/ (* (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (* 2 (/ 1 (* beta (- (pow beta 2) 1)))))) (* (pow beta 2) (- (pow beta 2) 1)))) (+ (* 3 (/ 1 (* (pow beta 2) (- (pow beta 2) 1)))) (* 20 (/ 1 (pow (- (pow beta 2) 1) 2))))))) (+ (* 2 (/ 1 (* beta (- (pow beta 2) 1)))) (* 4 (/ beta (pow (- (pow beta 2) 1) 2)))))) (/ 1 (- (pow beta 2) 1))))
(* (pow i 2) (+ (* i (- (* i (- (* -1 (* i (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (* 2 (/ 1 (* beta (- (pow beta 2) 1)))))) (* (pow beta 2) (- (pow beta 2) 1)))) (+ (* 3 (/ 1 (* (pow beta 2) (- (pow beta 2) 1)))) (* 20 (/ 1 (pow (- (pow beta 2) 1) 2))))) (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3)))) (* (pow beta 2) (- (pow beta 2) 1)))) (+ (* -1 (/ (* (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (* 2 (/ 1 (* beta (- (pow beta 2) 1)))))) (* (pow beta 2) (- (pow beta 2) 1)))) (* 32 (/ 1 (* beta (pow (- (pow beta 2) 1) 2)))))))) (+ (* -1 (/ (* (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (* 2 (/ 1 (* beta (- (pow beta 2) 1)))))) (* (pow beta 2) (- (pow beta 2) 1)))) (+ (* 3 (/ 1 (* (pow beta 2) (- (pow beta 2) 1)))) (* 20 (/ 1 (pow (- (pow beta 2) 1) 2))))))) (+ (* 2 (/ 1 (* beta (- (pow beta 2) 1)))) (* 4 (/ beta (pow (- (pow beta 2) 1) 2)))))) (/ 1 (- (pow beta 2) 1))))
1/16
(- (+ 1/16 (* 1/16 (/ (pow beta 2) (pow i 2)))) (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (pow i 2))))
(- (+ 1/16 (+ (* -1 (/ (+ (* 1/256 (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3)))) (* 2 (* beta (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2))))))))) (pow i 3))) (* 1/16 (/ (pow beta 2) (pow i 2))))) (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (pow i 2))))
(- (+ 1/16 (+ (* -1 (/ (+ (* -2 (* beta (+ (* 1/256 (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3)))) (* 2 (* beta (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2))))))))))) (+ (* 1/256 (* (pow beta 2) (- (pow beta 2) 1))) (* 1/16 (* (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))))))))) (pow i 4))) (* 1/16 (/ (pow beta 2) (pow i 2))))) (+ (* 1/256 (/ (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (pow i 2))) (* 2 (/ (* beta (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2))))))) (pow i 3))))))
1/16
(- (+ 1/16 (* 1/16 (/ (pow beta 2) (pow i 2)))) (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (pow i 2))))
(- (+ 1/16 (+ (* -2 (/ (* beta (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2))))))) (pow i 3))) (+ (* 1/256 (/ (+ (* -4 (* beta (- (pow beta 2) 1))) (* -4 (pow beta 3))) (pow i 3))) (* 1/16 (/ (pow beta 2) (pow i 2)))))) (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (pow i 2))))
(- (+ 1/16 (+ (* -1 (/ (- (+ (* 1/256 (/ (* (pow beta 2) (- (pow beta 2) 1)) i)) (+ (* 1/16 (/ (* (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2))))))) i)) (* 2 (/ (* beta (+ (* -2 (* beta (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))))))) (* 1/256 (+ (* -4 (* beta (- (pow beta 2) 1))) (* -4 (pow beta 3)))))) i)))) (+ (* -2 (* beta (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))))))) (* 1/256 (+ (* -4 (* beta (- (pow beta 2) 1))) (* -4 (pow beta 3)))))) (pow i 3))) (* 1/16 (/ (pow beta 2) (pow i 2))))) (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (pow i 2))))
(* 1/4 (/ (pow i 2) (- (* 4 (pow i 2)) 1)))
(+ (* 1/4 (/ (pow i 2) (- (* 4 (pow i 2)) 1))) (* beta (- (* 1/2 (/ i (- (* 4 (pow i 2)) 1))) (* 1/16 (/ (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (pow (- (* 4 (pow i 2)) 1) 2))))))
(+ (* 1/4 (/ (pow i 2) (- (* 4 (pow i 2)) 1))) (* beta (- (+ (* 1/2 (/ i (- (* 4 (pow i 2)) 1))) (* beta (- (* 1/4 (/ 1 (- (* 4 (pow i 2)) 1))) (+ (* 1/16 (/ (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1) (pow (- (* 4 (pow i 2)) 1) 2))) (* 1/4 (/ (* (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (- (* 1/2 (/ i (- (* 4 (pow i 2)) 1))) (* 1/16 (/ (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (pow (- (* 4 (pow i 2)) 1) 2))))) (* (pow i 2) (- (* 4 (pow i 2)) 1)))))))) (* 1/16 (/ (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (pow (- (* 4 (pow i 2)) 1) 2))))))
(+ (* 1/4 (/ (pow i 2) (- (* 4 (pow i 2)) 1))) (* beta (- (+ (* 1/2 (/ i (- (* 4 (pow i 2)) 1))) (* beta (- (+ (* -1 (* beta (+ (* 1/4 (/ (* (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (- (* 1/4 (/ 1 (- (* 4 (pow i 2)) 1))) (+ (* 1/16 (/ (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1) (pow (- (* 4 (pow i 2)) 1) 2))) (* 1/4 (/ (* (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (- (* 1/2 (/ i (- (* 4 (pow i 2)) 1))) (* 1/16 (/ (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (pow (- (* 4 (pow i 2)) 1) 2))))) (* (pow i 2) (- (* 4 (pow i 2)) 1))))))) (* (pow i 2) (- (* 4 (pow i 2)) 1)))) (+ (* 1/4 (/ (* (- (* 1/2 (/ i (- (* 4 (pow i 2)) 1))) (* 1/16 (/ (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (pow (- (* 4 (pow i 2)) 1) 2)))) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1)) (* (pow i 2) (- (* 4 (pow i 2)) 1)))) (* 1/2 (/ i (pow (- (* 4 (pow i 2)) 1) 2))))))) (* 1/4 (/ 1 (- (* 4 (pow i 2)) 1)))) (+ (* 1/16 (/ (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1) (pow (- (* 4 (pow i 2)) 1) 2))) (* 1/4 (/ (* (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (- (* 1/2 (/ i (- (* 4 (pow i 2)) 1))) (* 1/16 (/ (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (pow (- (* 4 (pow i 2)) 1) 2))))) (* (pow i 2) (- (* 4 (pow i 2)) 1)))))))) (* 1/16 (/ (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (pow (- (* 4 (pow i 2)) 1) 2))))))
(/ (pow i 2) (pow beta 2))
(/ (- (+ (* 2 (/ (pow i 3) beta)) (pow i 2)) (* 8 (/ (pow i 3) beta))) (pow beta 2))
(/ (- (+ (* 2 (/ (pow i 3) beta)) (+ (/ (pow i 4) (pow beta 2)) (pow i 2))) (+ (* 8 (/ (* i (- (* 2 (pow i 3)) (* 8 (pow i 3)))) (pow beta 2))) (+ (* 8 (/ (pow i 3) beta)) (/ (* (pow i 2) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1)) (pow beta 2))))) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* 8 (* i (- (pow i 4) (+ (* 8 (* i (- (* 2 (pow i 3)) (* 8 (pow i 3))))) (* (pow i 2) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1)))))) (+ (* (- (* 2 (pow i 3)) (* 8 (pow i 3))) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1)) (* (pow i 2) (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3)))))) (pow beta 3))) (+ (* 2 (/ (pow i 3) beta)) (+ (/ (pow i 4) (pow beta 2)) (pow i 2)))) (+ (* 8 (/ (* i (- (* 2 (pow i 3)) (* 8 (pow i 3)))) (pow beta 2))) (+ (* 8 (/ (pow i 3) beta)) (/ (* (pow i 2) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1)) (pow beta 2))))) (pow beta 2))
(/ (pow i 2) (pow beta 2))
(/ (+ (* -1 (/ (- (* -2 (pow i 3)) (* -8 (pow i 3))) beta)) (pow i 2)) (pow beta 2))
(/ (+ (* -1 (/ (- (+ (* -2 (pow i 3)) (* -1 (/ (- (pow i 4) (+ (* -8 (* i (- (* -2 (pow i 3)) (* -8 (pow i 3))))) (* (pow i 2) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1)))) beta))) (* -8 (pow i 3))) beta)) (pow i 2)) (pow beta 2))
(/ (+ (* -1 (/ (- (+ (* -2 (pow i 3)) (* -1 (/ (- (+ (* -8 (/ (* i (- (pow i 4) (+ (* -8 (* i (- (* -2 (pow i 3)) (* -8 (pow i 3))))) (* (pow i 2) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1))))) beta)) (+ (/ (* (- (* -2 (pow i 3)) (* -8 (pow i 3))) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1)) beta) (+ (/ (* (pow i 2) (+ (* -16 (pow i 3)) (* -4 (* i (- (* 4 (pow i 2)) 1))))) beta) (pow i 4)))) (+ (* -8 (* i (- (* -2 (pow i 3)) (* -8 (pow i 3))))) (* (pow i 2) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1)))) beta))) (* -8 (pow i 3))) beta)) (pow i 2)) (pow beta 2))
(* (pow beta 2) (pow i 2))
(* (pow i 2) (+ (* 2 (* beta i)) (pow beta 2)))
(* (pow i 2) (+ (* i (+ i (* 2 beta))) (pow beta 2)))
(* (pow i 2) (+ (* i (+ i (* 2 beta))) (pow beta 2)))
(pow i 4)
(* (pow i 4) (+ 1 (* 2 (/ beta i))))
(* (pow i 4) (+ 1 (+ (* 2 (/ beta i)) (/ (pow beta 2) (pow i 2)))))
(* (pow i 4) (+ 1 (+ (* 2 (/ beta i)) (/ (pow beta 2) (pow i 2)))))
(pow i 4)
(* (pow i 4) (+ 1 (* 2 (/ beta i))))
(* (pow i 4) (+ 1 (* -1 (/ (+ (* -2 beta) (* -1 (/ (pow beta 2) i))) i))))
(* (pow i 4) (+ 1 (* -1 (/ (+ (* -2 beta) (* -1 (/ (pow beta 2) i))) i))))
(pow i 4)
(+ (* 2 (* beta (pow i 3))) (pow i 4))
(+ (* beta (+ (* 2 (pow i 3)) (* beta (pow i 2)))) (pow i 4))
(+ (* beta (+ (* 2 (pow i 3)) (* beta (pow i 2)))) (pow i 4))
(* (pow beta 2) (pow i 2))
(* (pow beta 2) (+ (* 2 (/ (pow i 3) beta)) (pow i 2)))
(* (pow beta 2) (+ (* 2 (/ (pow i 3) beta)) (+ (/ (pow i 4) (pow beta 2)) (pow i 2))))
(* (pow beta 2) (+ (* 2 (/ (pow i 3) beta)) (+ (/ (pow i 4) (pow beta 2)) (pow i 2))))
(* (pow beta 2) (pow i 2))
(* (pow beta 2) (+ (* 2 (/ (pow i 3) beta)) (pow i 2)))
(* (pow beta 2) (+ (* -1 (/ (+ (* -2 (pow i 3)) (* -1 (/ (pow i 4) beta))) beta)) (pow i 2)))
(* (pow beta 2) (+ (* -1 (/ (+ (* -2 (pow i 3)) (* -1 (/ (pow i 4) beta))) beta)) (pow i 2)))
(* (pow beta 2) (- (pow beta 2) 1))
(+ (* i (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3)))) (* (pow beta 2) (- (pow beta 2) 1)))
(+ (* i (+ (* 4 (* beta (- (pow beta 2) 1))) (+ (* 4 (pow beta 3)) (* i (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))))))) (* (pow beta 2) (- (pow beta 2) 1)))
(+ (* i (+ (* 4 (* beta (- (pow beta 2) 1))) (+ (* 4 (pow beta 3)) (* i (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (+ (* 16 (pow beta 2)) (* 32 (* beta i))))))))) (* (pow beta 2) (- (pow beta 2) 1)))
(* 16 (pow i 4))
(* (pow i 4) (+ 16 (* 32 (/ beta i))))
(* (pow i 4) (+ 16 (+ (* 4 (/ (- (pow beta 2) 1) (pow i 2))) (+ (* 4 (/ (pow beta 2) (pow i 2))) (+ (* 16 (/ (pow beta 2) (pow i 2))) (* 32 (/ beta i)))))))
(* (pow i 4) (+ 16 (+ (* 4 (/ (* beta (- (pow beta 2) 1)) (pow i 3))) (+ (* 4 (/ (- (pow beta 2) 1) (pow i 2))) (+ (* 4 (/ (pow beta 2) (pow i 2))) (+ (* 4 (/ (pow beta 3) (pow i 3))) (+ (* 16 (/ (pow beta 2) (pow i 2))) (* 32 (/ beta i)))))))))
(* 16 (pow i 4))
(* (pow i 4) (+ 16 (* 32 (/ beta i))))
(* (pow i 4) (+ 16 (* -1 (/ (+ (* -32 beta) (* -1 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) i))) i))))
(* (pow i 4) (+ 16 (* -1 (/ (+ (* -32 beta) (* -1 (/ (+ (* -1 (/ (+ (* -4 (* beta (- (pow beta 2) 1))) (* -4 (pow beta 3))) i)) (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2))))) i))) i))))
(* 4 (* (pow i 2) (- (* 4 (pow i 2)) 1)))
(+ (* 4 (* (pow i 2) (- (* 4 (pow i 2)) 1))) (* beta (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3)))))
(+ (* 4 (* (pow i 2) (- (* 4 (pow i 2)) 1))) (* beta (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (+ (* 16 (pow i 3)) (* beta (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1))))))
(+ (* 4 (* (pow i 2) (- (* 4 (pow i 2)) 1))) (* beta (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (+ (* 16 (pow i 3)) (* beta (- (+ (* 8 (* beta i)) (+ (* 8 (pow i 2)) (* 16 (pow i 2)))) 1))))))
(pow beta 4)
(* (pow beta 4) (+ 1 (* 8 (/ i beta))))
(* (pow beta 4) (- (+ 1 (+ (* 8 (/ i beta)) (+ (* 8 (/ (pow i 2) (pow beta 2))) (* 16 (/ (pow i 2) (pow beta 2)))))) (/ 1 (pow beta 2))))
(* (pow beta 4) (- (+ 1 (+ (* 4 (/ (* i (- (* 4 (pow i 2)) 1)) (pow beta 3))) (+ (* 8 (/ i beta)) (+ (* 8 (/ (pow i 2) (pow beta 2))) (+ (* 16 (/ (pow i 2) (pow beta 2))) (* 16 (/ (pow i 3) (pow beta 3)))))))) (/ 1 (pow beta 2))))
(pow beta 4)
(* (pow beta 4) (+ 1 (* 8 (/ i beta))))
(* (pow beta 4) (+ 1 (* -1 (/ (+ (* -8 i) (* -1 (/ (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1) beta))) beta))))
(* (pow beta 4) (+ 1 (* -1 (/ (+ (* -8 i) (* -1 (/ (- (+ (* -1 (/ (+ (* -16 (pow i 3)) (* -4 (* i (- (* 4 (pow i 2)) 1)))) beta)) (+ (* 8 (pow i 2)) (* 16 (pow i 2)))) 1) beta))) beta))))
(pow i 2)
(+ (* 2 (* beta i)) (pow i 2))
(+ (* beta (+ beta (* 2 i))) (pow i 2))
(+ (* beta (+ beta (* 2 i))) (pow i 2))
(pow beta 2)
(* (pow beta 2) (+ 1 (* 2 (/ i beta))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ i beta)) (/ (pow i 2) (pow beta 2)))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ i beta)) (/ (pow i 2) (pow beta 2)))))
(pow beta 2)
(* (pow beta 2) (+ 1 (* 2 (/ i beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 i) (* -1 (/ (pow i 2) beta))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 i) (* -1 (/ (pow i 2) beta))) beta))))
(pow beta 2)
(+ (* 2 (* beta i)) (pow beta 2))
(+ (* i (+ i (* 2 beta))) (pow beta 2))
(+ (* i (+ i (* 2 beta))) (pow beta 2))
(pow i 2)
(* (pow i 2) (+ 1 (* 2 (/ beta i))))
(* (pow i 2) (+ 1 (+ (* 2 (/ beta i)) (/ (pow beta 2) (pow i 2)))))
(* (pow i 2) (+ 1 (+ (* 2 (/ beta i)) (/ (pow beta 2) (pow i 2)))))
(pow i 2)
(* (pow i 2) (+ 1 (* 2 (/ beta i))))
(* (pow i 2) (+ 1 (* -1 (/ (+ (* -2 beta) (* -1 (/ (pow beta 2) i))) i))))
(* (pow i 2) (+ 1 (* -1 (/ (+ (* -2 beta) (* -1 (/ (pow beta 2) i))) i))))
(/ (* alpha beta) (pow (+ alpha beta) 2))
(+ (* i (- (/ 1 (+ alpha beta)) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))
(+ (* i (- (+ (* i (- (/ 1 (pow (+ alpha beta) 2)) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 4))) (* 4 (/ (- (/ 1 (+ alpha beta)) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3)))) (+ alpha beta)))))) (/ 1 (+ alpha beta))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))
(+ (* i (- (+ (* i (- (+ (* -1 (* i (+ (* 4 (/ (- (/ 1 (+ alpha beta)) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3)))) (pow (+ alpha beta) 2))) (* 4 (/ (- (/ 1 (pow (+ alpha beta) 2)) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 4))) (* 4 (/ (- (/ 1 (+ alpha beta)) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3)))) (+ alpha beta))))) (+ alpha beta)))))) (/ 1 (pow (+ alpha beta) 2))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 4))) (* 4 (/ (- (/ 1 (+ alpha beta)) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3)))) (+ alpha beta)))))) (/ 1 (+ alpha beta))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))
1/4
(- (+ 1/4 (* 1/4 (/ (* alpha beta) (pow i 2)))) (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))))
(- (+ 1/4 (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (* alpha beta)) (* 1/16 (pow (+ alpha beta) 2)))) (pow i 3))) (* 1/4 (/ (* alpha beta) (pow i 2))))) (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))))
(- (+ 1/4 (+ (* -1 (/ (+ (* -1 (* (pow (+ alpha beta) 2) (- (* 1/4 (* alpha beta)) (* 1/16 (pow (+ alpha beta) 2))))) (* 1/4 (* (pow (+ alpha beta) 2) (- (* 1/4 (* alpha beta)) (* 1/16 (pow (+ alpha beta) 2)))))) (pow i 4))) (* 1/4 (/ (* alpha beta) (pow i 2))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (/ (* (+ alpha beta) (- (* 1/4 (* alpha beta)) (* 1/16 (pow (+ alpha beta) 2)))) (pow i 3))))
1/4
(- (+ 1/4 (* 1/4 (/ (* alpha beta) (pow i 2)))) (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))))
(- (+ 1/4 (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (* alpha beta)) (* 1/16 (pow (+ alpha beta) 2)))) (pow i 3))) (* 1/4 (/ (* alpha beta) (pow i 2))))) (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))))
(- (+ 1/4 (+ (* -1 (/ (- (+ (* -1 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (* alpha beta)) (* 1/16 (pow (+ alpha beta) 2)))) i)) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (* alpha beta)) (* 1/16 (pow (+ alpha beta) 2)))) i))) (* -1 (* (+ alpha beta) (- (* 1/4 (* alpha beta)) (* 1/16 (pow (+ alpha beta) 2)))))) (pow i 3))) (* 1/4 (/ (* alpha beta) (pow i 2))))) (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))))
(/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2))
(+ (* alpha (- (+ (/ beta (pow (+ beta (* 2 i)) 2)) (/ i (pow (+ beta (* 2 i)) 2))) (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)))
(+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 4)) (/ (* (+ (* 2 beta) (* 4 i)) (- (+ (/ beta (pow (+ beta (* 2 i)) 2)) (/ i (pow (+ beta (* 2 i)) 2))) (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2))))) (+ (/ beta (pow (+ beta (* 2 i)) 2)) (/ i (pow (+ beta (* 2 i)) 2)))) (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)))
(+ (* alpha (- (+ (* alpha (- (* alpha (- (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 6)) (+ (* -1 (/ (* (+ (* 2 beta) (* 4 i)) (+ (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 4)) (/ (* (+ (* 2 beta) (* 4 i)) (- (+ (/ beta (pow (+ beta (* 2 i)) 2)) (/ i (pow (+ beta (* 2 i)) 2))) (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)))) (pow (+ beta (* 2 i)) 2))) (+ (/ beta (pow (+ beta (* 2 i)) 4)) (/ i (pow (+ beta (* 2 i)) 4)))))) (+ (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 4)) (/ (* (+ (* 2 beta) (* 4 i)) (- (+ (/ beta (pow (+ beta (* 2 i)) 2)) (/ i (pow (+ beta (* 2 i)) 2))) (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2))))) (+ (/ beta (pow (+ beta (* 2 i)) 2)) (/ i (pow (+ beta (* 2 i)) 2)))) (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)))
(/ (+ beta i) alpha)
(/ (- (+ beta (+ i (/ (* i (+ beta i)) alpha))) (/ (* (+ beta i) (+ (* 2 beta) (* 4 i))) alpha)) alpha)
(/ (- (+ beta (+ i (+ (* -1 (/ (+ (* (+ beta i) (pow (+ beta (* 2 i)) 2)) (* (+ (* 2 beta) (* 4 i)) (- (* i (+ beta i)) (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))) (/ (* i (+ beta i)) alpha)))) (/ (* (+ beta i) (+ (* 2 beta) (* 4 i))) alpha)) alpha)
(/ (- (+ beta (+ i (+ (* -1 (/ (+ (* -1 (* (+ (* 2 beta) (* 4 i)) (+ (* (+ beta i) (pow (+ beta (* 2 i)) 2)) (* (+ (* 2 beta) (* 4 i)) (- (* i (+ beta i)) (* (+ beta i) (+ (* 2 beta) (* 4 i)))))))) (* (pow (+ beta (* 2 i)) 2) (- (* i (+ beta i)) (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 3))) (/ (* i (+ beta i)) alpha)))) (+ (/ (* (+ beta i) (+ (* 2 beta) (* 4 i))) alpha) (+ (/ (* (+ beta i) (pow (+ beta (* 2 i)) 2)) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ beta i)) (* (+ beta i) (+ (* 2 beta) (* 4 i))))) (pow alpha 2))))) alpha)
(* -1 (/ (+ (* -1 beta) (* -1 i)) alpha))
(* -1 (/ (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (- (* i (+ beta i)) (* -2 (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))) alpha)))) alpha))
(* -1 (/ (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (- (+ (* -2 (/ (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* -2 (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)) (+ (* i (+ beta i)) (/ (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))) alpha))) (* -2 (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))) alpha)))) alpha))
(* -1 (/ (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (- (+ (* 2 (/ (* (+ beta (* 2 i)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* -2 (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))) alpha)) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ beta i)) (* -2 (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* -2 (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))) alpha)) (* i (+ beta i))) (* -2 (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))) alpha)))) alpha))
(/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2))
(+ (* beta (- (+ (/ alpha (pow (+ alpha (* 2 i)) 2)) (/ i (pow (+ alpha (* 2 i)) 2))) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2)))
(+ (* beta (- (+ (* -1 (* beta (+ (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 4)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (+ (/ alpha (pow (+ alpha (* 2 i)) 2)) (/ i (pow (+ alpha (* 2 i)) 2))) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (pow (+ alpha (* 2 i)) 2))))) (+ (/ alpha (pow (+ alpha (* 2 i)) 2)) (/ i (pow (+ alpha (* 2 i)) 2)))) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2)))
(+ (* beta (- (+ (* beta (- (* beta (- (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 6)) (+ (* -1 (/ (* (+ (* 2 alpha) (* 4 i)) (+ (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 4)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (+ (/ alpha (pow (+ alpha (* 2 i)) 2)) (/ i (pow (+ alpha (* 2 i)) 2))) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (pow (+ alpha (* 2 i)) 2)))) (pow (+ alpha (* 2 i)) 2))) (+ (/ alpha (pow (+ alpha (* 2 i)) 4)) (/ i (pow (+ alpha (* 2 i)) 4)))))) (+ (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 4)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (+ (/ alpha (pow (+ alpha (* 2 i)) 2)) (/ i (pow (+ alpha (* 2 i)) 2))) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (pow (+ alpha (* 2 i)) 2))))) (+ (/ alpha (pow (+ alpha (* 2 i)) 2)) (/ i (pow (+ alpha (* 2 i)) 2)))) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2)))
(/ (+ alpha i) beta)
(/ (- (+ alpha (+ i (/ (* i (+ alpha i)) beta))) (/ (* (+ alpha i) (+ (* 2 alpha) (* 4 i))) beta)) beta)
(/ (- (+ alpha (+ i (+ (* -1 (/ (+ (* (+ alpha i) (pow (+ alpha (* 2 i)) 2)) (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ alpha i)) (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 2))) (/ (* i (+ alpha i)) beta)))) (/ (* (+ alpha i) (+ (* 2 alpha) (* 4 i))) beta)) beta)
(/ (- (+ alpha (+ i (+ (* -1 (/ (+ (* -1 (* (+ (* 2 alpha) (* 4 i)) (+ (* (+ alpha i) (pow (+ alpha (* 2 i)) 2)) (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ alpha i)) (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))))) (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ alpha i)) (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 3))) (/ (* i (+ alpha i)) beta)))) (+ (/ (* (+ alpha i) (+ (* 2 alpha) (* 4 i))) beta) (+ (/ (* (+ alpha i) (pow (+ alpha (* 2 i)) 2)) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ alpha i)) (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))) (pow beta 2))))) beta)
(* -1 (/ (+ (* -1 alpha) (* -1 i)) beta))
(* -1 (/ (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (- (* i (+ alpha i)) (* -2 (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))) beta)))) beta))
(* -1 (/ (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (- (+ (* -2 (/ (* (+ alpha (* 2 i)) (- (* i (+ alpha i)) (* -2 (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta)) (+ (* i (+ alpha i)) (/ (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i))) beta))) (* -2 (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))) beta)))) beta))
(* -1 (/ (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (- (+ (* 2 (/ (* (+ alpha (* 2 i)) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ alpha i)) (* -2 (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))))) (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i))))) beta)) (/ (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ alpha i)) (* -2 (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta)) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ alpha i)) (* -2 (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))))) (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i))))) beta)) (* i (+ alpha i))) (* -2 (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))) beta)))) beta))
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))
1/16
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i)))
(- (+ 1/16 (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/8 (/ (+ alpha beta) i)) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))))))
(- (+ 1/16 (+ (* 1/16 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/256 (/ (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 3))) (+ (* 1/8 (/ (+ alpha beta) i)) (+ (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) (* 2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))))))) (pow i 3)))))))))
1/16
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i)))
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i)))
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(/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))
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(/ (* i (+ alpha i)) (pow beta 2))
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2))
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(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2)))
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(/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))
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(/ (+ beta i) (pow alpha 3))
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(* -1 (/ (+ (* -1 beta) (* -1 i)) (pow alpha 3)))
(* -1 (/ (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (- (* i (+ beta i)) (* -4 (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))) alpha)))) (pow alpha 3)))
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(/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))
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(/ (+ alpha i) (pow beta 3))
(/ (- (+ alpha (+ i (/ (* i (+ alpha i)) beta))) (/ (* (+ alpha i) (+ (* 4 alpha) (* 8 i))) beta)) (pow beta 3))
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(* -1 (/ (+ (* -1 alpha) (* -1 i)) (pow beta 3)))
(* -1 (/ (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (- (* i (+ alpha i)) (* -4 (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))) beta)))) (pow beta 3)))
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(pow (+ alpha beta) 2)
(+ (* 4 (* i (+ alpha beta))) (pow (+ alpha beta) 2))
(+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2))
(+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2))
(* 4 (pow i 2))
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i))))
(* (pow i 2) (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2)))))
(* (pow i 2) (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2)))))
(* 4 (pow i 2))
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i))))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (pow (+ alpha beta) 2) i))) i))))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (pow (+ alpha beta) 2) i))) i))))
(pow (+ beta (* 2 i)) 2)
(+ (* alpha (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2))
(+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 2))
(+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 2))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ i alpha)))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* 2 (/ (+ beta (* 2 i)) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (pow (+ beta (* 2 i)) 2) alpha))) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (pow (+ beta (* 2 i)) 2) alpha))) alpha))))
(pow (+ alpha (* 2 i)) 2)
(+ (* beta (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2))
(+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2))
(+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2))
(pow beta 2)
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 4 (/ i beta)))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))))
(pow beta 2)
(* (pow beta 2) (+ 1 (* 2 (/ (+ alpha (* 2 i)) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (pow (+ alpha (* 2 i)) 2) beta))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (pow (+ alpha (* 2 i)) 2) beta))) beta))))

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

eval790.0ms (5.4%)

Memory: -82.1MiB live, 614.9MiB allocated
Compiler: Compiled 160 991 to 7 102 computations (95.6% saved)

prune280.0ms (1.9%)

Memory

-10.1MiB live, 794.0MiB allocated

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	1 881	23	1 904
Fresh	5	0	5
Picked	4	1	5
Done	0	0	0
Total	1 890	24	1 914

Accuracy

99.0%

Counts

1 914 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	12.7%	(/.f64 (fma.f64 i (+.f64 alpha i) (/.f64 (.f64 (.f64 i #s(literal -2 binary64)) (.f64 (+.f64 alpha i) (fma.f64 i #s(literal 2 binary64) alpha))) beta)) (.f64 beta beta))
	12.4%	(/.f64 (fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta))) (.f64 beta beta))
	22.8%	(/.f64 (/.f64 (*.f64 i (+.f64 i alpha)) beta) beta)
	33.7%	(/.f64 (.f64 (/.f64 (.f64 i i) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta))) (.f64 (+.f64 i beta) (+.f64 i beta))) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))
	26.6%	(/.f64 (*.f64 (/.f64 i beta) (+.f64 i alpha)) beta)
	12.2%	(/.f64 (.f64 (+.f64 i beta) (.f64 i (.f64 i (+.f64 i beta)))) (.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))))
▶	18.4%	(/.f64 (.f64 i (+.f64 alpha i)) (-.f64 (fma.f64 i (.f64 #s(literal 4 binary64) (+.f64 i (+.f64 alpha beta))) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal 1 binary64)))
▶	17.6%	(/.f64 (*.f64 i i) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))
	14.9%	(/.f64 (.f64 i i) (.f64 beta beta))
▶	12.9%	(/.f64 (*.f64 alpha i) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))
	11.2%	(/.f64 (.f64 alpha i) (.f64 beta beta))
	29.5%	(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
▶	2.0%	(/.f64 i alpha)
	20.0%	(*.f64 (/.f64 (+.f64 i alpha) (fma.f64 (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) #s(literal -1 binary64))) i)
▶	36.7%	(*.f64 (/.f64 (+.f64 i alpha) (+.f64 alpha (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) beta)))) (/.f64 i (+.f64 alpha (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))))
	16.2%	(.f64 (/.f64 (+.f64 i alpha) (.f64 beta beta)) i)
	26.7%	(*.f64 (/.f64 (+.f64 i alpha) beta) (/.f64 i beta))
	22.8%	(.f64 (/.f64 (.f64 i (+.f64 i alpha)) beta) (/.f64 #s(literal 1 binary64) beta))
	18.4%	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) #s(literal -1 binary64))) (.f64 i (+.f64 i alpha)))
	26.6%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) beta)))) (pow.f64 (/.f64 (+.f64 alpha (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))) (.f64 i (+.f64 i alpha))) #s(literal -1 binary64)))
	5.9%	(.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (/.f64 (/.f64 (.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))))
	9.2%	(.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (/.f64 (+.f64 alpha i) (.f64 beta (.f64 beta beta))))
	11.2%	(.f64 alpha (/.f64 i (.f64 beta beta)))
✓	74.7%	#s(literal 1/16 binary64)

Compiler

Compiled 902 to 476 computations (47.2% saved)

simplify498.0ms (3.4%)

Memory

4.6MiB live, 762.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 alpha i)
✓	cost-diff	0	(*.f64 i (+.f64 alpha i))
✓	cost-diff	0	(/.f64 (.f64 i (+.f64 alpha i)) (-.f64 (fma.f64 i (.f64 #s(literal 4 binary64) (+.f64 i (+.f64 alpha beta))) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal 1 binary64)))
✓	cost-diff	128	(-.f64 (fma.f64 i (.f64 #s(literal 4 binary64) (+.f64 i (+.f64 alpha beta))) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 i #s(literal 2 binary64) beta)
✓	cost-diff	0	(fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))
✓	cost-diff	0	(*.f64 i i)
✓	cost-diff	0	(/.f64 (*.f64 i i) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))
✓	cost-diff	0	(+.f64 alpha beta)
✓	cost-diff	0	(fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))
✓	cost-diff	0	(*.f64 alpha i)
✓	cost-diff	0	(/.f64 (*.f64 alpha i) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))
✓	cost-diff	0	(/.f64 i alpha)
✓	cost-diff	0	(+.f64 alpha (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) beta)))
✓	cost-diff	0	(+.f64 i alpha)
✓	cost-diff	0	(/.f64 (+.f64 i alpha) (+.f64 alpha (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) beta))))
✓	cost-diff	384	(*.f64 (/.f64 (+.f64 i alpha) (+.f64 alpha (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) beta)))) (/.f64 i (+.f64 alpha (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))))

Rules

22 564×	`lower-fma.f32`
22 556×	`lower-fma.f64`
5 136×	`lower-+.f32`
5 120×	`lower-+.f64`
3 670×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	249
0	60	249
1	131	249
2	343	249
3	1052	249
4	3291	249
5	4634	249
0	8303	244

Stop Event

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

Calls

Call 1

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

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

localize124.0ms (0.8%)

Memory

-37.1MiB live, 102.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 i (+.f64 alpha i))
✓	accuracy	100.0%	(fma.f64 i (.f64 #s(literal 4 binary64) (+.f64 i (+.f64 alpha beta))) (.f64 (+.f64 alpha beta) (+.f64 alpha beta)))
✓	accuracy	100.0%	(*.f64 (+.f64 alpha beta) (+.f64 alpha beta))
✓	accuracy	44.4%	(/.f64 (.f64 i (+.f64 alpha i)) (-.f64 (fma.f64 i (.f64 #s(literal 4 binary64) (+.f64 i (+.f64 alpha beta))) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal 1 binary64)))
✓	accuracy	100.0%	(fma.f64 i #s(literal 2 binary64) beta)
✓	accuracy	100.0%	(*.f64 i i)
✓	accuracy	100.0%	(fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))
✓	accuracy	44.4%	(/.f64 (*.f64 i i) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))
✓	accuracy	100.0%	(fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))
✓	accuracy	100.0%	(+.f64 alpha beta)
✓	accuracy	100.0%	(*.f64 alpha i)
✓	accuracy	92.8%	(/.f64 (*.f64 alpha i) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))
✓	accuracy	100.0%	(/.f64 i alpha)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) beta))
✓	accuracy	100.0%	(/.f64 (+.f64 i alpha) (+.f64 alpha (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) beta))))
✓	accuracy	100.0%	(/.f64 i (+.f64 alpha (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))))
✓	accuracy	99.8%	(*.f64 (/.f64 (+.f64 i alpha) (+.f64 alpha (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) beta)))) (/.f64 i (+.f64 alpha (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))))

Samples

72.0ms

256×

valid

Compiler

Compiled 272 to 37 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-div: 13.0ms (32.8% of total)

ival-add: 13.0ms (32.8% of total)

ival-mult: 12.0ms (30.2% of total)

ival-sub: 1.0ms (2.5% of total)

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

exact: 0.0ms (0% of total)

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

series76.0ms (0.5%)

Memory

21.0MiB live, 132.1MiB allocated

Counts

17 → 468

Calls

Call 1

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

Outputs
#<alt (/ (* alpha i) (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1)))>
#<alt (* i (+ (* i (- (/ 1 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (/ (* alpha (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (- (+ alpha beta) 1)))) (* (pow (+ 1 (+ alpha beta)) 2) (pow (- (+ alpha beta) 1) 2))))) (/ alpha (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1)))))>
#<alt (* i (+ (* i (- (+ (* -1 (* i (+ (* 4 (/ alpha (* (pow (+ 1 (+ alpha beta)) 2) (pow (- (+ alpha beta) 1) 2)))) (/ (* (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (- (+ alpha beta) 1))) (- (/ 1 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (/ (* alpha (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (- (+ alpha beta) 1)))) (* (pow (+ 1 (+ alpha beta)) 2) (pow (- (+ alpha beta) 1) 2))))) (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1)))))) (/ 1 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1)))) (/ (* alpha (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (- (+ alpha beta) 1)))) (* (pow (+ 1 (+ alpha beta)) 2) (pow (- (+ alpha beta) 1) 2))))) (/ alpha (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1)))))>
#<alt (* i (+ (* i (- (+ (* i (- (* -1 (* i (+ (* -1 (/ (* (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (- (+ alpha beta) 1))) (+ (* 4 (/ alpha (* (pow (+ 1 (+ alpha beta)) 2) (pow (- (+ alpha beta) 1) 2)))) (/ (* (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (- (+ alpha beta) 1))) (- (/ 1 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (/ (* alpha (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (- (+ alpha beta) 1)))) (* (pow (+ 1 (+ alpha beta)) 2) (pow (- (+ alpha beta) 1) 2))))) (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))))) (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1)))) (* 4 (/ (- (/ 1 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (/ (* alpha (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (- (+ alpha beta) 1)))) (* (pow (+ 1 (+ alpha beta)) 2) (pow (- (+ alpha beta) 1) 2)))) (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))))))) (+ (* 4 (/ alpha (* (pow (+ 1 (+ alpha beta)) 2) (pow (- (+ alpha beta) 1) 2)))) (/ (* (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (- (+ alpha beta) 1))) (- (/ 1 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (/ (* alpha (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (- (+ alpha beta) 1)))) (* (pow (+ 1 (+ alpha beta)) 2) (pow (- (+ alpha beta) 1) 2))))) (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1)))))) (/ 1 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1)))) (/ (* alpha (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (- (+ alpha beta) 1)))) (* (pow (+ 1 (+ alpha beta)) 2) (pow (- (+ alpha beta) 1) 2))))) (/ alpha (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1)))))>
#<alt 1/4>
#<alt (- (+ 1/4 (* 1/4 (/ alpha i))) (* 1/16 (/ (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (- (+ alpha beta) 1))) i)))>
#<alt (- (+ 1/4 (+ (* -1 (/ (+ (* 1/16 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (* 1/4 (* (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (- (+ alpha beta) 1))) (- (* 1/4 alpha) (* 1/16 (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (- (+ alpha beta) 1)))))))) (pow i 2))) (* 1/4 (/ alpha i)))) (* 1/16 (/ (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (- (+ alpha beta) 1))) i)))>
#<alt (- (+ 1/4 (+ (* -1 (/ (+ (* -1/4 (* (+ (* 1/16 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (* 1/4 (* (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (- (+ alpha beta) 1))) (- (* 1/4 alpha) (* 1/16 (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (- (+ alpha beta) 1)))))))) (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (- (+ alpha beta) 1))))) (* 1/4 (* (+ 1 (+ alpha beta)) (* (- (* 1/4 alpha) (* 1/16 (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (- (+ alpha beta) 1))))) (- (+ alpha beta) 1))))) (pow i 3))) (* 1/4 (/ alpha i)))) (+ (* 1/16 (/ (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1)) (pow i 2))) (+ (* 1/16 (/ (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (- (+ alpha beta) 1))) i)) (* 1/4 (/ (* (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (- (+ alpha beta) 1))) (- (* 1/4 alpha) (* 1/16 (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (- (+ alpha beta) 1)))))) (pow i 2))))))>
#<alt 1/4>
#<alt (- (+ 1/4 (* 1/4 (/ alpha i))) (* -1/16 (/ (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (- (+ alpha beta) 1))) i)))>
#<alt (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 alpha) (* -1/16 (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (- (+ alpha beta) 1)))))) (* -1 (/ (+ (* -1/16 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (* 1/4 (* (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (- (+ alpha beta) 1))) (- (* 1/4 alpha) (* -1/16 (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (- (+ alpha beta) 1)))))))) i))) i)))>
#<alt (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 alpha) (* -1/16 (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (- (+ alpha beta) 1)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (- (+ alpha beta) 1))) (+ (* -1/16 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (* 1/4 (* (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (- (+ alpha beta) 1))) (- (* 1/4 alpha) (* -1/16 (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (- (+ alpha beta) 1)))))))))) (* 1/4 (* (+ 1 (+ alpha beta)) (* (- (* 1/4 alpha) (* -1/16 (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (- (+ alpha beta) 1))))) (- (+ alpha beta) 1))))) i)) (+ (* -1/16 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (* 1/4 (* (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (- (+ alpha beta) 1))) (- (* 1/4 alpha) (* -1/16 (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (- (+ alpha beta) 1))))))))) i))) i)))>
#<alt (/ (pow i 2) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (* 2 i)) 1)))>
#<alt (+ (* alpha (- (/ i (* (+ 1 (+ beta (* 2 i))) (- (+ beta (* 2 i)) 1))) (/ (* (pow i 2) (+ (* 2 beta) (* 4 i))) (* (pow (+ 1 (+ beta (* 2 i))) 2) (pow (- (+ beta (* 2 i)) 1) 2))))) (/ (pow i 2) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (* 2 i)) 1))))>
#<alt (+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ i (* (+ 1 (+ beta (* 2 i))) (- (+ beta (* 2 i)) 1))) (/ (* (pow i 2) (+ (* 2 beta) (* 4 i))) (* (pow (+ 1 (+ beta (* 2 i))) 2) (pow (- (+ beta (* 2 i)) 1) 2))))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (* 2 i)) 1))) (/ (pow i 2) (* (pow (+ 1 (+ beta (* 2 i))) 2) (pow (- (+ beta (* 2 i)) 1) 2)))))) (/ i (* (+ 1 (+ beta (* 2 i))) (- (+ beta (* 2 i)) 1)))) (/ (* (pow i 2) (+ (* 2 beta) (* 4 i))) (* (pow (+ 1 (+ beta (* 2 i))) 2) (pow (- (+ beta (* 2 i)) 1) 2))))) (/ (pow i 2) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (* 2 i)) 1))))>
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#<alt (/ (* alpha i) (- (pow (+ alpha beta) 2) 1))>
#<alt (/ (* alpha i) (- (pow (+ alpha beta) 2) 1))>
#<alt (/ (* alpha i) (- (pow (+ alpha beta) 2) 1))>
#<alt (/ (* alpha i) (- (pow (+ alpha beta) 2) 1))>
#<alt (/ (* alpha i) (- (pow (+ alpha beta) 2) 1))>
#<alt (/ (* alpha i) (- (pow alpha 2) 1))>
#<alt (+ (* -2 (/ (* (pow alpha 2) (* beta i)) (pow (- (pow alpha 2) 1) 2))) (/ (* alpha i) (- (pow alpha 2) 1)))>
#<alt (+ (* beta (- (* -1 (* beta (+ (* -4 (/ (* (pow alpha 3) i) (pow (- (pow alpha 2) 1) 3))) (/ (* alpha i) (pow (- (pow alpha 2) 1) 2))))) (* 2 (/ (* (pow alpha 2) i) (pow (- (pow alpha 2) 1) 2))))) (/ (* alpha i) (- (pow alpha 2) 1)))>
#<alt (+ (* beta (- (* beta (- (* -1 (* beta (+ (* -2 (/ (* alpha (+ (* -4 (/ (* (pow alpha 3) i) (pow (- (pow alpha 2) 1) 3))) (/ (* alpha i) (pow (- (pow alpha 2) 1) 2)))) (- (pow alpha 2) 1))) (* -2 (/ (* (pow alpha 2) i) (pow (- (pow alpha 2) 1) 3)))))) (+ (* -4 (/ (* (pow alpha 3) i) (pow (- (pow alpha 2) 1) 3))) (/ (* alpha i) (pow (- (pow alpha 2) 1) 2))))) (* 2 (/ (* (pow alpha 2) i) (pow (- (pow alpha 2) 1) 2))))) (/ (* alpha i) (- (pow alpha 2) 1)))>
#<alt (/ (* alpha i) (pow beta 2))>
#<alt (/ (+ (* -2 (/ (* (pow alpha 2) i) beta)) (* alpha i)) (pow beta 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -4 (* (pow alpha 3) i)) (* alpha (* i (- (pow alpha 2) 1)))) (pow beta 2))) (* alpha i)) (* 2 (/ (* (pow alpha 2) i) beta))) (pow beta 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -2 (* alpha (+ (* -4 (* (pow alpha 3) i)) (* alpha (* i (- (pow alpha 2) 1)))))) (* -2 (* (pow alpha 2) (* i (- (pow alpha 2) 1))))) (pow beta 3))) (* alpha i)) (+ (* -4 (/ (* (pow alpha 3) i) (pow beta 2))) (+ (* 2 (/ (* (pow alpha 2) i) beta)) (/ (* alpha (* i (- (pow alpha 2) 1))) (pow beta 2))))) (pow beta 2))>
#<alt (/ (* alpha i) (pow beta 2))>
#<alt (/ (+ (* -2 (/ (* (pow alpha 2) i) beta)) (* alpha i)) (pow beta 2))>
#<alt (/ (+ (* -1 (/ (- (+ (* -4 (/ (* (pow alpha 3) i) beta)) (/ (* alpha (* i (- (pow alpha 2) 1))) beta)) (* -2 (* (pow alpha 2) i))) beta)) (* alpha i)) (pow beta 2))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* alpha (+ (* -4 (* (pow alpha 3) i)) (* alpha (* i (- (pow alpha 2) 1))))) beta)) (* 2 (/ (* (pow alpha 2) (* i (- (pow alpha 2) 1))) beta))) (+ (* -4 (* (pow alpha 3) i)) (* alpha (* i (- (pow alpha 2) 1))))) beta)) (* -2 (* (pow alpha 2) i))) beta)) (* alpha i)) (pow beta 2))>
#<alt (* alpha i)>
#<alt (* alpha i)>
#<alt (* alpha i)>
#<alt (* alpha i)>
#<alt (* alpha i)>
#<alt (* alpha i)>
#<alt (* alpha i)>
#<alt (* alpha i)>
#<alt (* alpha i)>
#<alt (* alpha i)>
#<alt (* alpha i)>
#<alt (* alpha i)>
#<alt (* alpha i)>
#<alt (* alpha i)>
#<alt (* alpha i)>
#<alt (* alpha i)>
#<alt (* alpha i)>
#<alt (* alpha i)>
#<alt (* alpha i)>
#<alt (* alpha i)>
#<alt (* alpha i)>
#<alt (* alpha i)>
#<alt (* alpha i)>
#<alt (* alpha i)>
#<alt beta>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt alpha>
#<alt (* alpha (+ 1 (/ beta alpha)))>
#<alt (* alpha (+ 1 (/ beta alpha)))>
#<alt (* alpha (+ 1 (/ beta alpha)))>
#<alt alpha>
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))>
#<alt alpha>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt beta>
#<alt (* beta (+ 1 (/ alpha beta)))>
#<alt (* beta (+ 1 (/ alpha beta)))>
#<alt (* beta (+ 1 (/ alpha beta)))>
#<alt beta>
#<alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1)))>
#<alt (- (pow beta 2) 1)>
#<alt (- (+ (* 2 (* alpha beta)) (pow beta 2)) 1)>
#<alt (- (+ (* alpha (+ alpha (* 2 beta))) (pow beta 2)) 1)>
#<alt (- (+ (* alpha (+ alpha (* 2 beta))) (pow beta 2)) 1)>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (* 2 (/ beta alpha))))>
#<alt (* (pow alpha 2) (- (+ 1 (+ (* 2 (/ beta alpha)) (/ (pow beta 2) (pow alpha 2)))) (/ 1 (pow alpha 2))))>
#<alt (* (pow alpha 2) (- (+ 1 (+ (* 2 (/ beta alpha)) (/ (pow beta 2) (pow alpha 2)))) (/ 1 (pow alpha 2))))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (* 2 (/ beta alpha))))>
#<alt (* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 beta) (* -1 (/ (- (pow beta 2) 1) alpha))) alpha))))>
#<alt (* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 beta) (* -1 (/ (- (pow beta 2) 1) alpha))) alpha))))>
#<alt (- (pow alpha 2) 1)>
#<alt (- (+ (* 2 (* alpha beta)) (pow alpha 2)) 1)>
#<alt (- (+ (* beta (+ beta (* 2 alpha))) (pow alpha 2)) 1)>
#<alt (- (+ (* beta (+ beta (* 2 alpha))) (pow alpha 2)) 1)>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (* 2 (/ alpha beta))))>
#<alt (* (pow beta 2) (- (+ 1 (+ (* 2 (/ alpha beta)) (/ (pow alpha 2) (pow beta 2)))) (/ 1 (pow beta 2))))>
#<alt (* (pow beta 2) (- (+ 1 (+ (* 2 (/ alpha beta)) (/ (pow alpha 2) (pow beta 2)))) (/ 1 (pow beta 2))))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (* 2 (/ alpha beta))))>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 alpha) (* -1 (/ (- (pow alpha 2) 1) beta))) beta))))>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 alpha) (* -1 (/ (- (pow alpha 2) 1) beta))) beta))))>
#<alt (/ (pow i 2) (- (pow beta 2) 1))>
#<alt (* (pow i 2) (+ (* -4 (/ (* beta i) (pow (- (pow beta 2) 1) 2))) (/ 1 (- (pow beta 2) 1))))>
#<alt (* (pow i 2) (+ (* i (- (* -1 (* i (+ (* -16 (/ (pow beta 2) (pow (- (pow beta 2) 1) 3))) (* 4 (/ 1 (pow (- (pow beta 2) 1) 2)))))) (* 4 (/ beta (pow (- (pow beta 2) 1) 2))))) (/ 1 (- (pow beta 2) 1))))>
#<alt (* (pow i 2) (+ (* i (- (* i (- (* -1 (* i (+ (* -16 (/ beta (pow (- (pow beta 2) 1) 3))) (* -4 (/ (* beta (+ (* -16 (/ (pow beta 2) (pow (- (pow beta 2) 1) 3))) (* 4 (/ 1 (pow (- (pow beta 2) 1) 2))))) (- (pow beta 2) 1)))))) (+ (* -16 (/ (pow beta 2) (pow (- (pow beta 2) 1) 3))) (* 4 (/ 1 (pow (- (pow beta 2) 1) 2)))))) (* 4 (/ beta (pow (- (pow beta 2) 1) 2))))) (/ 1 (- (pow beta 2) 1))))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/4 (/ beta i)))>
#<alt (- (+ 1/4 (* -1 (/ (+ (* -1/4 (pow beta 2)) (* 1/16 (- (pow beta 2) 1))) (pow i 2)))) (* 1/4 (/ beta i)))>
#<alt (- (+ 1/4 (* -1 (/ (+ (* -1 (* beta (+ (* -1/4 (pow beta 2)) (* 1/16 (- (pow beta 2) 1))))) (* -1/16 (* beta (- (pow beta 2) 1)))) (pow i 3)))) (+ (* -1/4 (/ (pow beta 2) (pow i 2))) (+ (* 1/16 (/ (- (pow beta 2) 1) (pow i 2))) (* 1/4 (/ beta i)))))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/4 (/ beta i)))>
#<alt (+ 1/4 (* -1 (/ (- (+ (* -1/4 (/ (pow beta 2) i)) (* 1/16 (/ (- (pow beta 2) 1) i))) (* -1/4 beta)) i)))>
#<alt (+ 1/4 (* -1 (/ (- (* -1 (/ (- (+ (* 1/16 (/ (* beta (- (pow beta 2) 1)) i)) (/ (* beta (+ (* -1/4 (pow beta 2)) (* 1/16 (- (pow beta 2) 1)))) i)) (+ (* -1/4 (pow beta 2)) (* 1/16 (- (pow beta 2) 1)))) i)) (* -1/4 beta)) i)))>
#<alt (/ (pow i 2) (- (* 4 (pow i 2)) 1))>
#<alt (+ (* -4 (/ (* beta (pow i 3)) (pow (- (* 4 (pow i 2)) 1) 2))) (/ (pow i 2) (- (* 4 (pow i 2)) 1)))>
#<alt (+ (* beta (- (* -1 (* beta (+ (* -16 (/ (pow i 4) (pow (- (* 4 (pow i 2)) 1) 3))) (/ (pow i 2) (pow (- (* 4 (pow i 2)) 1) 2))))) (* 4 (/ (pow i 3) (pow (- (* 4 (pow i 2)) 1) 2))))) (/ (pow i 2) (- (* 4 (pow i 2)) 1)))>
#<alt (+ (* beta (- (* beta (- (* -1 (* beta (+ (* -4 (/ (* i (+ (* -16 (/ (pow i 4) (pow (- (* 4 (pow i 2)) 1) 3))) (/ (pow i 2) (pow (- (* 4 (pow i 2)) 1) 2)))) (- (* 4 (pow i 2)) 1))) (* -4 (/ (pow i 3) (pow (- (* 4 (pow i 2)) 1) 3)))))) (+ (* -16 (/ (pow i 4) (pow (- (* 4 (pow i 2)) 1) 3))) (/ (pow i 2) (pow (- (* 4 (pow i 2)) 1) 2))))) (* 4 (/ (pow i 3) (pow (- (* 4 (pow i 2)) 1) 2))))) (/ (pow i 2) (- (* 4 (pow i 2)) 1)))>
#<alt (/ (pow i 2) (pow beta 2))>
#<alt (/ (+ (* -4 (/ (pow i 3) beta)) (pow i 2)) (pow beta 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -16 (pow i 4)) (* (pow i 2) (- (* 4 (pow i 2)) 1))) (pow beta 2))) (pow i 2)) (* 4 (/ (pow i 3) beta))) (pow beta 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -4 (* i (+ (* -16 (pow i 4)) (* (pow i 2) (- (* 4 (pow i 2)) 1))))) (* -4 (* (pow i 3) (- (* 4 (pow i 2)) 1)))) (pow beta 3))) (pow i 2)) (+ (* -16 (/ (pow i 4) (pow beta 2))) (+ (* 4 (/ (pow i 3) beta)) (/ (* (pow i 2) (- (* 4 (pow i 2)) 1)) (pow beta 2))))) (pow beta 2))>
#<alt (/ (pow i 2) (pow beta 2))>
#<alt (/ (+ (* -4 (/ (pow i 3) beta)) (pow i 2)) (pow beta 2))>
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#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 4 (/ (* i (+ (* -16 (pow i 4)) (* (pow i 2) (- (* 4 (pow i 2)) 1)))) beta)) (* 4 (/ (* (pow i 3) (- (* 4 (pow i 2)) 1)) beta))) (+ (* -16 (pow i 4)) (* (pow i 2) (- (* 4 (pow i 2)) 1)))) beta)) (* -4 (pow i 3))) beta)) (pow i 2)) (pow beta 2))>
#<alt (- (pow beta 2) 1)>
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#<alt (* 4 (pow i 2))>
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#<alt (- (* 4 (pow i 2)) 1)>
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#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (* 4 (/ i beta))))>
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#<alt (* (pow beta 2) (- (+ 1 (+ (* 4 (/ i beta)) (* 4 (/ (pow i 2) (pow beta 2))))) (/ 1 (pow beta 2))))>
#<alt (pow beta 2)>
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#<alt (* (pow beta 2) (+ 1 (* -1 (/ (+ (* -4 i) (* -1 (/ (- (* 4 (pow i 2)) 1) beta))) beta))))>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (+ (* -4 i) (* -1 (/ (- (* 4 (pow i 2)) 1) beta))) beta))))>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt beta>
#<alt (+ beta (* 2 i))>
#<alt (+ beta (* 2 i))>
#<alt (+ beta (* 2 i))>
#<alt (* 2 i)>
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#<alt (* i (+ 2 (/ beta i)))>
#<alt (* i (+ 2 (/ beta i)))>
#<alt (* 2 i)>
#<alt (* -1 (* i (- (* -1 (/ beta i)) 2)))>
#<alt (* -1 (* i (- (* -1 (/ beta i)) 2)))>
#<alt (* -1 (* i (- (* -1 (/ beta i)) 2)))>
#<alt (* 2 i)>
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#<alt (+ beta (* 2 i))>
#<alt (+ beta (* 2 i))>
#<alt beta>
#<alt (* beta (+ 1 (* 2 (/ i beta))))>
#<alt (* beta (+ 1 (* 2 (/ i beta))))>
#<alt (* beta (+ 1 (* 2 (/ i beta))))>
#<alt beta>
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#<alt (* -1 (* beta (- (* -2 (/ i beta)) 1)))>
#<alt (* -1 (* beta (- (* -2 (/ i beta)) 1)))>
#<alt (/ (* alpha i) (- (pow (+ alpha beta) 2) 1))>
#<alt (* i (+ (* i (- (/ 1 (- (pow (+ alpha beta) 2) 1)) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ alpha (- (pow (+ alpha beta) 2) 1))))>
#<alt (* i (+ (* i (- (+ (* -1 (* i (+ (* 4 (/ alpha (pow (- (pow (+ alpha beta) 2) 1) 2))) (* 4 (/ (* (+ alpha beta) (- (/ 1 (- (pow (+ alpha beta) 2) 1)) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (- (pow (+ alpha beta) 2) 1)))))) (/ 1 (- (pow (+ alpha beta) 2) 1))) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ alpha (- (pow (+ alpha beta) 2) 1))))>
#<alt (* i (+ (* i (- (+ (* i (- (* -1 (* i (+ (* -4 (/ (* (+ alpha beta) (+ (* 4 (/ alpha (pow (- (pow (+ alpha beta) 2) 1) 2))) (* 4 (/ (* (+ alpha beta) (- (/ 1 (- (pow (+ alpha beta) 2) 1)) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (- (pow (+ alpha beta) 2) 1))))) (- (pow (+ alpha beta) 2) 1))) (* 4 (/ (- (/ 1 (- (pow (+ alpha beta) 2) 1)) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (- (pow (+ alpha beta) 2) 1)))))) (+ (* 4 (/ alpha (pow (- (pow (+ alpha beta) 2) 1) 2))) (* 4 (/ (* (+ alpha beta) (- (/ 1 (- (pow (+ alpha beta) 2) 1)) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (- (pow (+ alpha beta) 2) 1)))))) (/ 1 (- (pow (+ alpha beta) 2) 1))) (* 4 (/ (* alpha (+ alpha beta)) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ alpha (- (pow (+ alpha beta) 2) 1))))>
#<alt 1/4>
#<alt (- (+ 1/4 (* 1/4 (/ alpha i))) (* 1/4 (/ (+ alpha beta) i)))>
#<alt (- (+ 1/4 (+ (* -1 (/ (+ (* 1/16 (- (pow (+ alpha beta) 2) 1)) (* (+ alpha beta) (- (* 1/4 alpha) (* 1/4 (+ alpha beta))))) (pow i 2))) (* 1/4 (/ alpha i)))) (* 1/4 (/ (+ alpha beta) i)))>
#<alt (- (+ 1/4 (+ (* -1 (/ (+ (* -1 (* (+ alpha beta) (+ (* 1/16 (- (pow (+ alpha beta) 2) 1)) (* (+ alpha beta) (- (* 1/4 alpha) (* 1/4 (+ alpha beta))))))) (* 1/4 (* (- (* 1/4 alpha) (* 1/4 (+ alpha beta))) (- (pow (+ alpha beta) 2) 1)))) (pow i 3))) (* 1/4 (/ alpha i)))) (+ (* 1/16 (/ (- (pow (+ alpha beta) 2) 1) (pow i 2))) (+ (* 1/4 (/ (+ alpha beta) i)) (/ (* (+ alpha beta) (- (* 1/4 alpha) (* 1/4 (+ alpha beta)))) (pow i 2)))))>
#<alt 1/4>
#<alt (- (+ 1/4 (* 1/4 (/ alpha i))) (* 1/4 (/ (+ alpha beta) i)))>
#<alt (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 alpha) (* 1/4 (+ alpha beta)))) (* -1 (/ (+ (* -1 (* (+ alpha beta) (- (* 1/4 alpha) (* 1/4 (+ alpha beta))))) (* -1/16 (- (pow (+ alpha beta) 2) 1))) i))) i)))>
#<alt (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 alpha) (* 1/4 (+ alpha beta)))) (* -1 (/ (+ (* -1 (* (+ alpha beta) (- (* 1/4 alpha) (* 1/4 (+ alpha beta))))) (+ (* -1 (/ (+ (* 1/4 (* (- (* 1/4 alpha) (* 1/4 (+ alpha beta))) (- (pow (+ alpha beta) 2) 1))) (* (+ alpha beta) (+ (* -1 (* (+ alpha beta) (- (* 1/4 alpha) (* 1/4 (+ alpha beta))))) (* -1/16 (- (pow (+ alpha beta) 2) 1))))) i)) (* -1/16 (- (pow (+ alpha beta) 2) 1)))) i))) i)))>
#<alt (/ (pow i 2) (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1))>
#<alt (+ (* alpha (- (/ i (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1)) (/ (* (pow i 2) (+ (* 2 beta) (* 4 i))) (pow (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1) 2)))) (/ (pow i 2) (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1)))>
#<alt (+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ i (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1)) (/ (* (pow i 2) (+ (* 2 beta) (* 4 i))) (pow (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1) 2)))) (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1)) (/ (pow i 2) (pow (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1) 2))))) (/ i (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1))) (/ (* (pow i 2) (+ (* 2 beta) (* 4 i))) (pow (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1) 2)))) (/ (pow i 2) (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1)))>
#<alt (+ (* alpha (- (+ (* alpha (- (* alpha (- (/ (* (pow i 2) (+ (* 2 beta) (* 4 i))) (pow (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1) 3)) (+ (* -1 (/ (* (+ (* 2 beta) (* 4 i)) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ i (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1)) (/ (* (pow i 2) (+ (* 2 beta) (* 4 i))) (pow (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1) 2)))) (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1)) (/ (pow i 2) (pow (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1) 2)))) (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1))) (/ i (pow (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1) 2))))) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ i (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1)) (/ (* (pow i 2) (+ (* 2 beta) (* 4 i))) (pow (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1) 2)))) (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1)) (/ (pow i 2) (pow (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1) 2))))) (/ i (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1))) (/ (* (pow i 2) (+ (* 2 beta) (* 4 i))) (pow (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1) 2)))) (/ (pow i 2) (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1)))>
#<alt (/ i alpha)>
#<alt (/ (- (+ i (/ (pow i 2) alpha)) (/ (* i (+ (* 2 beta) (* 4 i))) alpha)) alpha)>
#<alt (/ (- (+ i (+ (* -1 (/ (+ (* i (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1)) (* (+ (* 2 beta) (* 4 i)) (- (pow i 2) (* i (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))) (/ (pow i 2) alpha))) (/ (* i (+ (* 2 beta) (* 4 i))) alpha)) alpha)>
#<alt (/ (- (+ i (+ (* -1 (/ (+ (* -1 (* (+ (* 2 beta) (* 4 i)) (+ (* i (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1)) (* (+ (* 2 beta) (* 4 i)) (- (pow i 2) (* i (+ (* 2 beta) (* 4 i)))))))) (* (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1) (- (pow i 2) (* i (+ (* 2 beta) (* 4 i)))))) (pow alpha 3))) (/ (pow i 2) alpha))) (+ (/ (* i (+ (* 2 beta) (* 4 i))) alpha) (+ (/ (* i (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1)) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (pow i 2) (* i (+ (* 2 beta) (* 4 i))))) (pow alpha 2))))) alpha)>
#<alt (/ i alpha)>
#<alt (* -1 (/ (+ (* -1 i) (* -1 (/ (- (pow i 2) (* -1 (* i (+ (* -4 i) (* -2 beta))))) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (* i (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1)) alpha)) (+ (/ (* (+ (* -4 i) (* -2 beta)) (- (pow i 2) (* -1 (* i (+ (* -4 i) (* -2 beta)))))) alpha) (pow i 2))) (* -1 (* i (+ (* -4 i) (* -2 beta))))) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -4 i) (* -2 beta)) (+ (* -1 (* i (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1))) (* (+ (* -4 i) (* -2 beta)) (- (pow i 2) (* -1 (* i (+ (* -4 i) (* -2 beta)))))))) alpha)) (/ (* (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1) (- (pow i 2) (* -1 (* i (+ (* -4 i) (* -2 beta)))))) alpha)) (+ (* -1 (* i (- (+ (* 4 (* i (+ beta i))) (pow beta 2)) 1))) (* (+ (* -4 i) (* -2 beta)) (- (pow i 2) (* -1 (* i (+ (* -4 i) (* -2 beta)))))))) alpha)) (pow i 2)) (* -1 (* i (+ (* -4 i) (* -2 beta))))) alpha))) alpha))>
#<alt (/ (* i (+ alpha i)) (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1))>
#<alt (+ (* -1 (/ (* beta (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))) (pow (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1) 2))) (/ (* i (+ alpha i)) (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1)))>
#<alt (+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* i (* (+ alpha i) (pow (+ (* 2 alpha) (* 4 i)) 2))) (pow (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1) 3))) (/ (* i (+ alpha i)) (pow (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1) 2))))) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) (pow (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1) 2)))) (/ (* i (+ alpha i)) (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1)))>
#<alt (+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1 (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) (pow (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1) 3))) (* -1 (/ (* (+ (* -1 (/ (* i (* (+ alpha i) (pow (+ (* 2 alpha) (* 4 i)) 2))) (pow (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1) 3))) (/ (* i (+ alpha i)) (pow (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1) 2))) (+ (* 2 alpha) (* 4 i))) (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1)))))) (+ (* -1 (/ (* i (* (+ alpha i) (pow (+ (* 2 alpha) (* 4 i)) 2))) (pow (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1) 3))) (/ (* i (+ alpha i)) (pow (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1) 2))))) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) (pow (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1) 2)))) (/ (* i (+ alpha i)) (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1)))>
#<alt (/ (* i (+ alpha i)) (pow beta 2))>
#<alt (/ (+ (* -1 (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta)) (* i (+ alpha i))) (pow beta 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* i (* (+ alpha i) (pow (+ (* 2 alpha) (* 4 i)) 2)))) (* i (* (+ alpha i) (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1)))) (pow beta 2))) (* i (+ alpha i))) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta)) (pow beta 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* i (* (+ alpha i) (* (+ (* 2 alpha) (* 4 i)) (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1))))) (* -1 (* (+ (* -1 (* i (* (+ alpha i) (pow (+ (* 2 alpha) (* 4 i)) 2)))) (* i (* (+ alpha i) (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1)))) (+ (* 2 alpha) (* 4 i))))) (pow beta 3))) (* i (+ alpha i))) (+ (* -1 (/ (* i (* (+ alpha i) (pow (+ (* 2 alpha) (* 4 i)) 2))) (pow beta 2))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (/ (* i (* (+ alpha i) (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1))) (pow beta 2))))) (pow beta 2))>
#<alt (/ (* i (+ alpha i)) (pow beta 2))>
#<alt (/ (+ (* i (+ alpha i)) (/ (* i (* (+ alpha i) (+ (* -4 i) (* -2 alpha)))) beta)) (pow beta 2))>
#<alt (/ (+ (* -1 (/ (- (+ (* -1 (/ (* i (* (+ alpha i) (pow (+ (* -4 i) (* -2 alpha)) 2))) beta)) (/ (* i (* (+ alpha i) (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1))) beta)) (* i (* (+ alpha i) (+ (* -4 i) (* -2 alpha))))) beta)) (* i (+ alpha i))) (pow beta 2))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* i (* (+ alpha i) (* (+ (* -4 i) (* -2 alpha)) (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1)))) beta)) (* -1 (/ (* (+ (* -4 i) (* -2 alpha)) (+ (* -1 (* i (* (+ alpha i) (pow (+ (* -4 i) (* -2 alpha)) 2)))) (* i (* (+ alpha i) (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1))))) beta))) (+ (* -1 (* i (* (+ alpha i) (pow (+ (* -4 i) (* -2 alpha)) 2)))) (* i (* (+ alpha i) (- (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) 1))))) beta)) (* i (* (+ alpha i) (+ (* -4 i) (* -2 alpha))))) beta)) (* i (+ alpha i))) (pow beta 2))>
#<alt (pow beta 2)>
#<alt (+ (* 2 (* alpha beta)) (pow beta 2))>
#<alt (+ (* alpha (+ alpha (* 2 beta))) (pow beta 2))>
#<alt (+ (* alpha (+ alpha (* 2 beta))) (pow beta 2))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (* 2 (/ beta alpha))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (/ (pow beta 2) (pow alpha 2)))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (/ (pow beta 2) (pow alpha 2)))))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (* 2 (/ beta alpha))))>
#<alt (* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 beta) (* -1 (/ (pow beta 2) alpha))) alpha))))>
#<alt (* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 beta) (* -1 (/ (pow beta 2) alpha))) alpha))))>
#<alt (pow alpha 2)>
#<alt (+ (* 2 (* alpha beta)) (pow alpha 2))>
#<alt (+ (* beta (+ beta (* 2 alpha))) (pow alpha 2))>
#<alt (+ (* beta (+ beta (* 2 alpha))) (pow alpha 2))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (* 2 (/ alpha beta))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (/ (pow alpha 2) (pow beta 2)))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (/ (pow alpha 2) (pow beta 2)))))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (* 2 (/ alpha beta))))>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 alpha) (* -1 (/ (pow alpha 2) beta))) beta))))>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 alpha) (* -1 (/ (pow alpha 2) beta))) beta))))>
#<alt (pow (+ alpha beta) 2)>
#<alt (+ (* 4 (* i (+ alpha beta))) (pow (+ alpha beta) 2))>
#<alt (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2))>
#<alt (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2))>
#<alt (* 4 (pow i 2))>
#<alt (* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i))))>
#<alt (* (pow i 2) (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2)))))>
#<alt (* (pow i 2) (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2)))))>
#<alt (* 4 (pow i 2))>
#<alt (* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i))))>
#<alt (* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (pow (+ alpha beta) 2) i))) i))))>
#<alt (* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (pow (+ alpha beta) 2) i))) i))))>
#<alt (+ (* 4 (* i (+ beta i))) (pow beta 2))>
#<alt (+ (* 4 (* i (+ beta i))) (+ (* alpha (+ (* 2 beta) (* 4 i))) (pow beta 2)))>
#<alt (+ (* 4 (* i (+ beta i))) (+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow beta 2)))>
#<alt (+ (* 4 (* i (+ beta i))) (+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow beta 2)))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ i alpha)))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (+ (* 4 (/ (* i (+ beta i)) (pow alpha 2))) (/ (pow beta 2) (pow alpha 2)))))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (+ (* 4 (/ (* i (+ beta i)) (pow alpha 2))) (/ (pow beta 2) (pow alpha 2)))))))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -4 i) (* -2 beta)) alpha))))>
#<alt (* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -4 i) (+ (* -2 beta) (* -1 (/ (+ (* 4 (* i (+ beta i))) (pow beta 2)) alpha)))) alpha))))>
#<alt (* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -4 i) (+ (* -2 beta) (* -1 (/ (+ (* 4 (* i (+ beta i))) (pow beta 2)) alpha)))) alpha))))>
#<alt (+ (* 4 (* i (+ alpha i))) (pow alpha 2))>
#<alt (+ (* 4 (* i (+ alpha i))) (+ (* beta (+ (* 2 alpha) (* 4 i))) (pow alpha 2)))>
#<alt (+ (* 4 (* i (+ alpha i))) (+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow alpha 2)))>
#<alt (+ (* 4 (* i (+ alpha i))) (+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow alpha 2)))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 4 (/ i beta)))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (+ (* 4 (/ (* i (+ alpha i)) (pow beta 2))) (/ (pow alpha 2) (pow beta 2)))))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (+ (* 4 (/ (* i (+ alpha i)) (pow beta 2))) (/ (pow alpha 2) (pow beta 2)))))))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (+ (* -4 i) (* -2 alpha)) beta))))>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (+ (* -4 i) (+ (* -2 alpha) (* -1 (/ (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) beta)))) beta))))>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (+ (* -4 i) (+ (* -2 alpha) (* -1 (/ (+ (* 4 (* i (+ alpha i))) (pow alpha 2)) beta)))) beta))))>
#<alt (* alpha i)>
#<alt (* i (+ alpha i))>
#<alt (* i (+ alpha i))>
#<alt (* i (+ alpha i))>
#<alt (pow i 2)>
#<alt (* (pow i 2) (+ 1 (/ alpha i)))>
#<alt (* (pow i 2) (+ 1 (/ alpha i)))>
#<alt (* (pow i 2) (+ 1 (/ alpha i)))>
#<alt (pow i 2)>
#<alt (* (pow i 2) (+ 1 (/ alpha i)))>
#<alt (* (pow i 2) (+ 1 (/ alpha i)))>
#<alt (* (pow i 2) (+ 1 (/ alpha i)))>
#<alt (pow i 2)>
#<alt (+ (* alpha i) (pow i 2))>
#<alt (+ (* alpha i) (pow i 2))>
#<alt (+ (* alpha i) (pow i 2))>
#<alt (* alpha i)>
#<alt (* alpha (+ i (/ (pow i 2) alpha)))>
#<alt (* alpha (+ i (/ (pow i 2) alpha)))>
#<alt (* alpha (+ i (/ (pow i 2) alpha)))>
#<alt (* alpha i)>
#<alt (* -1 (* alpha (+ (* -1 i) (* -1 (/ (pow i 2) alpha)))))>
#<alt (* -1 (* alpha (+ (* -1 i) (* -1 (/ (pow i 2) alpha)))))>
#<alt (* -1 (* alpha (+ (* -1 i) (* -1 (/ (pow i 2) alpha)))))>

Calls

117 calls:

Time	Variable		Point	Expression
13.0ms	beta	@	inf	(/ (* i (+ alpha i)) (- (+ (* i (* 4 (+ i (+ alpha beta)))) (* (+ alpha beta) (+ alpha beta))) 1))
8.0ms	beta	@	0	(* (/ (+ i alpha) (+ alpha (+ 1 (+ (* i 2) beta)))) (/ i (+ alpha (+ (+ (* i 2) beta) -1))))
4.0ms	beta	@	-inf	(* (/ (+ i alpha) (+ alpha (+ 1 (+ (* i 2) beta)))) (/ i (+ alpha (+ (+ (* i 2) beta) -1))))
2.0ms	beta	@	inf	(/ (* i i) (+ (* (+ (* i 2) beta) (+ (* i 2) beta)) -1))
2.0ms	alpha	@	0	(* (/ (+ i alpha) (+ alpha (+ 1 (+ (* i 2) beta)))) (/ i (+ alpha (+ (+ (* i 2) beta) -1))))

rewrite331.0ms (2.2%)

Memory

19.1MiB live, 613.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 772×	`lower-*.f32`
5 760×	`lower-*.f64`
4 398×	`lower-/.f32`
4 386×	`lower-/.f64`
3 604×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	163
0	60	151
1	307	151
2	2972	151
0	9145	151

Stop Event

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

Counts

17 → 523

Calls

Call 1

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

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

simplify464.0ms (3.2%)

Memory

2.7MiB live, 593.0MiB allocated

Algorithm

1×	egg-herbie

Rules

6 150×	`lower-*.f64`
6 150×	`lower-*.f32`
5 058×	`lower-fma.f64`
5 058×	`lower-fma.f32`
3 544×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1635	12612
1	5434	12189
0	8234	11253

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 457

Calls

Call 1

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

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

eval175.0ms (1.2%)

Memory: 9.4MiB live, 343.1MiB allocated
Compiler: Compiled 43 967 to 4 056 computations (90.8% saved)

prune469.0ms (3.2%)

Memory

-32.7MiB live, 291.0MiB allocated

Pruning

31 alts after pruning (28 fresh and 3 done)

	Pruned	Kept	Total
New	1 283	14	1 297
Fresh	4	14	18
Picked	3	2	5
Done	0	1	1
Total	1 290	31	1 321

Accuracy

99.0%

Counts

1 321 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	12.4%	(/.f64 (fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta))) (.f64 beta beta))
▶	12.2%	(/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 i (.f64 i i)) beta) (.f64 i i)) (.f64 beta beta))
	22.8%	(/.f64 (/.f64 (*.f64 i (+.f64 i alpha)) beta) beta)
	33.7%	(/.f64 (.f64 (/.f64 (.f64 i i) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta))) (.f64 (+.f64 i beta) (+.f64 i beta))) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))
	26.6%	(/.f64 (*.f64 (/.f64 i beta) (+.f64 i alpha)) beta)
	12.2%	(/.f64 (.f64 (+.f64 i beta) (.f64 i (.f64 i (+.f64 i beta)))) (.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))))
	17.6%	(/.f64 (.f64 i i) (fma.f64 (.f64 i #s(literal 4 binary64)) (+.f64 i beta) (fma.f64 beta beta #s(literal -1 binary64))))
	14.4%	(/.f64 (.f64 i i) (fma.f64 #s(literal 4 binary64) (.f64 i beta) (fma.f64 beta beta #s(literal -1 binary64))))
	14.9%	(/.f64 (.f64 i i) (.f64 beta beta))
✓	12.9%	(/.f64 (*.f64 alpha i) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))
	4.6%	(/.f64 (*.f64 alpha i) (fma.f64 alpha alpha #s(literal -1 binary64)))
	11.2%	(/.f64 (.f64 alpha i) (.f64 beta beta))
	29.5%	(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
✓	2.0%	(/.f64 i alpha)
	13.5%	(*.f64 (/.f64 (+.f64 i alpha) (+.f64 alpha (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) beta)))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 alpha (+.f64 beta #s(literal -1 binary64))) i) #s(literal 1/2 binary64)))
	24.3%	(*.f64 (/.f64 (+.f64 i alpha) (+.f64 alpha (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) beta)))) (/.f64 (fma.f64 (neg.f64 i) (/.f64 (+.f64 alpha (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))) beta) i) beta))
	27.0%	(*.f64 (/.f64 (+.f64 i alpha) (+.f64 alpha (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) beta)))) (/.f64 i beta))
▶	36.7%	(.f64 (/.f64 (+.f64 i alpha) (+.f64 alpha (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) beta)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))) i))
	16.2%	(.f64 (/.f64 (+.f64 i alpha) (.f64 beta beta)) i)
▶	26.7%	(*.f64 (/.f64 (+.f64 i alpha) beta) (/.f64 i beta))
	24.3%	(*.f64 (/.f64 (+.f64 alpha (fma.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) alpha))) (/.f64 (+.f64 alpha i) beta) i)) beta) (/.f64 i (+.f64 alpha (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))))
	22.8%	(.f64 (/.f64 (.f64 i (+.f64 i alpha)) beta) (/.f64 #s(literal 1 binary64) beta))
▶	19.2%	(*.f64 (/.f64 i (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))) i)
	35.2%	(*.f64 (/.f64 i (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) beta))) (/.f64 i (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))))
	12.9%	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))) (.f64 i alpha))
	31.9%	(*.f64 (+.f64 i alpha) (/.f64 (/.f64 i (+.f64 alpha (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))) (+.f64 alpha (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) beta)))))
	5.9%	(.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (/.f64 (/.f64 (.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))))
	9.2%	(.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (/.f64 (+.f64 alpha i) (.f64 beta (.f64 beta beta))))
▶	11.2%	(.f64 alpha (/.f64 i (.f64 beta beta)))
	14.6%	(*.f64 #s(literal 1/2 binary64) (/.f64 i (+.f64 alpha (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))))
✓	74.7%	#s(literal 1/16 binary64)

Compiler

Compiled 1 121 to 632 computations (43.6% saved)

simplify520.0ms (3.5%)

Memory

-8.6MiB live, 586.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 i (.f64 i i))
✓	cost-diff	0	(/.f64 (.f64 i (.f64 i i)) beta)
✓	cost-diff	0	(/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 i (.f64 i i)) beta) (.f64 i i)) (.f64 beta beta))
✓	cost-diff	320	(fma.f64 #s(literal -4 binary64) (/.f64 (.f64 i (.f64 i i)) beta) (*.f64 i i))
✓	cost-diff	0	(fma.f64 i #s(literal 2 binary64) beta)
✓	cost-diff	0	(fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 i (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))
✓	cost-diff	0	(*.f64 (/.f64 i (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))) i)
✓	cost-diff	0	(/.f64 i beta)
✓	cost-diff	0	(+.f64 i alpha)
✓	cost-diff	0	(/.f64 (+.f64 i alpha) beta)
✓	cost-diff	384	(*.f64 (/.f64 (+.f64 i alpha) beta) (/.f64 i beta))
✓	cost-diff	0	(*.f64 beta beta)
✓	cost-diff	0	(/.f64 i (*.f64 beta beta))
✓	cost-diff	0	(.f64 alpha (/.f64 i (.f64 beta beta)))
✓	cost-diff	0	(+.f64 i alpha)
✓	cost-diff	0	(/.f64 (+.f64 i alpha) (+.f64 alpha (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) beta))))
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))) i)
✓	cost-diff	384	(.f64 (/.f64 (+.f64 i alpha) (+.f64 alpha (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) beta)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))) i))

Rules

14 904×	`lower-fma.f32`
14 898×	`lower-fma.f64`
4 064×	`lower-+.f32`
4 054×	`lower-+.f64`
3 336×	`lower--.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	234
0	58	226
1	115	222
2	261	222
3	670	222
4	1549	222
5	4226	222
6	6339	222
0	8314	222

Stop Event

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

Calls

Call 1

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

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

localize108.0ms (0.7%)

Memory

41.0MiB live, 195.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 i (.f64 i i))
✓	accuracy	94.0%	(/.f64 (.f64 i (.f64 i i)) beta)
✓	accuracy	75.6%	(/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 i (.f64 i i)) beta) (.f64 i i)) (.f64 beta beta))
✓	accuracy	56.2%	(fma.f64 #s(literal -4 binary64) (/.f64 (.f64 i (.f64 i i)) beta) (*.f64 i i))
✓	accuracy	100.0%	(fma.f64 i #s(literal 2 binary64) beta)
✓	accuracy	100.0%	(fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))
✓	accuracy	95.0%	(*.f64 (/.f64 i (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))) i)
✓	accuracy	51.6%	(/.f64 i (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))
✓	accuracy	100.0%	(/.f64 i beta)
✓	accuracy	100.0%	(+.f64 i alpha)
✓	accuracy	100.0%	(/.f64 (+.f64 i alpha) beta)
✓	accuracy	99.7%	(*.f64 (/.f64 (+.f64 i alpha) beta) (/.f64 i beta))
✓	accuracy	100.0%	(*.f64 beta beta)
✓	accuracy	87.3%	(.f64 alpha (/.f64 i (.f64 beta beta)))
✓	accuracy	85.9%	(/.f64 i (*.f64 beta beta))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))))
✓	accuracy	100.0%	(/.f64 (+.f64 i alpha) (+.f64 alpha (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) beta))))
✓	accuracy	99.8%	(.f64 (/.f64 (+.f64 i alpha) (+.f64 alpha (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) beta)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))) i))
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))) i)

Samples

65.0ms

256×

valid

Compiler

Compiled 258 to 36 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-div: 17.0ms (41.1% of total)

ival-mult: 15.0ms (36.3% of total)

ival-add: 9.0ms (21.8% of total)

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

exact: 0.0ms (0% of total)

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

series35.0ms (0.2%)

Memory

3.0MiB live, 77.0MiB allocated

Counts

19 → 516

Calls

Call 1

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

Outputs
#<alt (/ i (- (+ beta (* 2 i)) 1))>
#<alt (+ (* -1 (/ (* alpha i) (pow (- (+ beta (* 2 i)) 1) 2))) (/ i (- (+ beta (* 2 i)) 1)))>
#<alt (+ (* alpha (- (/ (* alpha i) (pow (- (+ beta (* 2 i)) 1) 3)) (/ i (pow (- (+ beta (* 2 i)) 1) 2)))) (/ i (- (+ beta (* 2 i)) 1)))>
#<alt (+ (* alpha (- (* alpha (- (* -1 (/ (* alpha i) (pow (- (+ beta (* 2 i)) 1) 4))) (* -1 (/ i (pow (- (+ beta (* 2 i)) 1) 3))))) (/ i (pow (- (+ beta (* 2 i)) 1) 2)))) (/ i (- (+ beta (* 2 i)) 1)))>
#<alt (/ i alpha)>
#<alt (/ (+ i (* -1 (/ (* i (- (+ beta (* 2 i)) 1)) alpha))) alpha)>
#<alt (/ (- (+ i (/ (* i (pow (- (+ beta (* 2 i)) 1) 2)) (pow alpha 2))) (/ (* i (- (+ beta (* 2 i)) 1)) alpha)) alpha)>
#<alt (/ (- (+ i (* -1 (/ (* i (pow (- (+ beta (* 2 i)) 1) 3)) (pow alpha 3)))) (+ (* -1 (/ (* i (pow (- (+ beta (* 2 i)) 1) 2)) (pow alpha 2))) (/ (* i (- (+ beta (* 2 i)) 1)) alpha))) alpha)>
#<alt (/ i alpha)>
#<alt (* -1 (/ (+ (* -1 i) (/ (* i (- (+ beta (* 2 i)) 1)) alpha)) alpha))>
#<alt (* -1 (/ (+ (* -1 i) (* -1 (/ (- (/ (* i (pow (- (+ beta (* 2 i)) 1) 2)) alpha) (* i (- (+ beta (* 2 i)) 1))) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1 i) (* -1 (/ (- (* -1 (/ (- (/ (* i (pow (- (+ beta (* 2 i)) 1) 3)) alpha) (* i (pow (- (+ beta (* 2 i)) 1) 2))) alpha)) (* i (- (+ beta (* 2 i)) 1))) alpha))) alpha))>
#<alt (/ i (- (+ alpha beta) 1))>
#<alt (* i (+ (* -2 (/ i (pow (- (+ alpha beta) 1) 2))) (/ 1 (- (+ alpha beta) 1))))>
#<alt (* i (+ (* i (- (* 4 (/ i (pow (- (+ alpha beta) 1) 3))) (* 2 (/ 1 (pow (- (+ alpha beta) 1) 2))))) (/ 1 (- (+ alpha beta) 1))))>
#<alt (* i (+ (* i (- (* i (+ (* -8 (/ i (pow (- (+ alpha beta) 1) 4))) (* 4 (/ 1 (pow (- (+ alpha beta) 1) 3))))) (* 2 (/ 1 (pow (- (+ alpha beta) 1) 2))))) (/ 1 (- (+ alpha beta) 1))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (/ (- (+ alpha beta) 1) i)))>
#<alt (- (+ 1/2 (* 1/8 (/ (pow (- (+ alpha beta) 1) 2) (pow i 2)))) (* 1/4 (/ (- (+ alpha beta) 1) i)))>
#<alt (- (+ 1/2 (* -1/16 (/ (pow (- (+ alpha beta) 1) 3) (pow i 3)))) (+ (* -1/8 (/ (pow (- (+ alpha beta) 1) 2) (pow i 2))) (* 1/4 (/ (- (+ alpha beta) 1) i))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (/ (- (+ alpha beta) 1) i)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1/8 (/ (pow (- (+ alpha beta) 1) 2) i)) (* -1/4 (- (+ alpha beta) 1))) i)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (* -1/16 (/ (pow (- (+ alpha beta) 1) 3) i)) (* -1/8 (pow (- (+ alpha beta) 1) 2))) i)) (* -1/4 (- (+ alpha beta) 1))) i)))>
#<alt (/ i (- (+ alpha (* 2 i)) 1))>
#<alt (+ (* -1 (/ (* beta i) (pow (- (+ alpha (* 2 i)) 1) 2))) (/ i (- (+ alpha (* 2 i)) 1)))>
#<alt (+ (* beta (- (/ (* beta i) (pow (- (+ alpha (* 2 i)) 1) 3)) (/ i (pow (- (+ alpha (* 2 i)) 1) 2)))) (/ i (- (+ alpha (* 2 i)) 1)))>
#<alt (+ (* beta (- (* beta (- (* -1 (/ (* beta i) (pow (- (+ alpha (* 2 i)) 1) 4))) (* -1 (/ i (pow (- (+ alpha (* 2 i)) 1) 3))))) (/ i (pow (- (+ alpha (* 2 i)) 1) 2)))) (/ i (- (+ alpha (* 2 i)) 1)))>
#<alt (/ i beta)>
#<alt (/ (+ i (* -1 (/ (* i (- (+ alpha (* 2 i)) 1)) beta))) beta)>
#<alt (/ (- (+ i (/ (* i (pow (- (+ alpha (* 2 i)) 1) 2)) (pow beta 2))) (/ (* i (- (+ alpha (* 2 i)) 1)) beta)) beta)>
#<alt (/ (- (+ i (* -1 (/ (* i (pow (- (+ alpha (* 2 i)) 1) 3)) (pow beta 3)))) (+ (* -1 (/ (* i (pow (- (+ alpha (* 2 i)) 1) 2)) (pow beta 2))) (/ (* i (- (+ alpha (* 2 i)) 1)) beta))) beta)>
#<alt (/ i beta)>
#<alt (* -1 (/ (+ (* -1 i) (/ (* i (- (+ alpha (* 2 i)) 1)) beta)) beta))>
#<alt (* -1 (/ (+ (* -1 i) (* -1 (/ (- (/ (* i (pow (- (+ alpha (* 2 i)) 1) 2)) beta) (* i (- (+ alpha (* 2 i)) 1))) beta))) beta))>
#<alt (* -1 (/ (+ (* -1 i) (* -1 (/ (- (* -1 (/ (- (/ (* i (pow (- (+ alpha (* 2 i)) 1) 3)) beta) (* i (pow (- (+ alpha (* 2 i)) 1) 2))) beta)) (* i (- (+ alpha (* 2 i)) 1))) beta))) beta))>
#<alt (/ (* alpha i) (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1)))>
#<alt (* i (+ (* i (- (/ 1 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (/ (* alpha (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (- (+ alpha beta) 1)))) (* (pow (+ 1 (+ alpha beta)) 2) (pow (- (+ alpha beta) 1) 2))))) (/ alpha (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1)))))>
#<alt (* i (+ (* i (- (+ (* -1 (* i (+ (* 4 (/ alpha (* (pow (+ 1 (+ alpha beta)) 2) (pow (- (+ alpha beta) 1) 2)))) (/ (* (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (- (+ alpha beta) 1))) (- (/ 1 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (/ (* alpha (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (- (+ alpha beta) 1)))) (* (pow (+ 1 (+ alpha beta)) 2) (pow (- (+ alpha beta) 1) 2))))) (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1)))))) (/ 1 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1)))) (/ (* alpha (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (- (+ alpha beta) 1)))) (* (pow (+ 1 (+ alpha beta)) 2) (pow (- (+ alpha beta) 1) 2))))) (/ alpha (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1)))))>
#<alt (* i (+ (* i (- (+ (* i (- (* -1 (* i (+ (* -1 (/ (* (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (- (+ alpha beta) 1))) (+ (* 4 (/ alpha (* (pow (+ 1 (+ alpha beta)) 2) (pow (- (+ alpha beta) 1) 2)))) (/ (* (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (- (+ alpha beta) 1))) (- (/ 1 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (/ (* alpha (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (- (+ alpha beta) 1)))) (* (pow (+ 1 (+ alpha beta)) 2) (pow (- (+ alpha beta) 1) 2))))) (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))))) (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1)))) (* 4 (/ (- (/ 1 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (/ (* alpha (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (- (+ alpha beta) 1)))) (* (pow (+ 1 (+ alpha beta)) 2) (pow (- (+ alpha beta) 1) 2)))) (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))))))) (+ (* 4 (/ alpha (* (pow (+ 1 (+ alpha beta)) 2) (pow (- (+ alpha beta) 1) 2)))) (/ (* (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (- (+ alpha beta) 1))) (- (/ 1 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (/ (* alpha (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (- (+ alpha beta) 1)))) (* (pow (+ 1 (+ alpha beta)) 2) (pow (- (+ alpha beta) 1) 2))))) (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1)))))) (/ 1 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1)))) (/ (* alpha (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (- (+ alpha beta) 1)))) (* (pow (+ 1 (+ alpha beta)) 2) (pow (- (+ alpha beta) 1) 2))))) (/ alpha (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1)))))>
#<alt 1/4>
#<alt (- (+ 1/4 (* 1/4 (/ alpha i))) (* 1/16 (/ (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (- (+ alpha beta) 1))) i)))>
#<alt (- (+ 1/4 (+ (* -1 (/ (+ (* 1/16 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (* 1/4 (* (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (- (+ alpha beta) 1))) (- (* 1/4 alpha) (* 1/16 (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (- (+ alpha beta) 1)))))))) (pow i 2))) (* 1/4 (/ alpha i)))) (* 1/16 (/ (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (- (+ alpha beta) 1))) i)))>
#<alt (- (+ 1/4 (+ (* -1 (/ (+ (* -1/4 (* (+ (* 1/16 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (* 1/4 (* (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (- (+ alpha beta) 1))) (- (* 1/4 alpha) (* 1/16 (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (- (+ alpha beta) 1)))))))) (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (- (+ alpha beta) 1))))) (* 1/4 (* (+ 1 (+ alpha beta)) (* (- (* 1/4 alpha) (* 1/16 (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (- (+ alpha beta) 1))))) (- (+ alpha beta) 1))))) (pow i 3))) (* 1/4 (/ alpha i)))) (+ (* 1/16 (/ (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1)) (pow i 2))) (+ (* 1/16 (/ (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (- (+ alpha beta) 1))) i)) (* 1/4 (/ (* (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (- (+ alpha beta) 1))) (- (* 1/4 alpha) (* 1/16 (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (- (+ alpha beta) 1)))))) (pow i 2))))))>
#<alt 1/4>
#<alt (- (+ 1/4 (* 1/4 (/ alpha i))) (* -1/16 (/ (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (- (+ alpha beta) 1))) i)))>
#<alt (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 alpha) (* -1/16 (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (- (+ alpha beta) 1)))))) (* -1 (/ (+ (* -1/16 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (* 1/4 (* (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (- (+ alpha beta) 1))) (- (* 1/4 alpha) (* -1/16 (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (- (+ alpha beta) 1)))))))) i))) i)))>
#<alt (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 alpha) (* -1/16 (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (- (+ alpha beta) 1)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (- (+ alpha beta) 1))) (+ (* -1/16 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (* 1/4 (* (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (- (+ alpha beta) 1))) (- (* 1/4 alpha) (* -1/16 (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (- (+ alpha beta) 1)))))))))) (* 1/4 (* (+ 1 (+ alpha beta)) (* (- (* 1/4 alpha) (* -1/16 (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (- (+ alpha beta) 1))))) (- (+ alpha beta) 1))))) i)) (+ (* -1/16 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (* 1/4 (* (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (- (+ alpha beta) 1))) (- (* 1/4 alpha) (* -1/16 (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (- (+ alpha beta) 1))))))))) i))) i)))>
#<alt (/ (pow i 2) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (* 2 i)) 1)))>
#<alt (+ (* alpha (- (/ i (* (+ 1 (+ beta (* 2 i))) (- (+ beta (* 2 i)) 1))) (/ (* (pow i 2) (+ (* 2 beta) (* 4 i))) (* (pow (+ 1 (+ beta (* 2 i))) 2) (pow (- (+ beta (* 2 i)) 1) 2))))) (/ (pow i 2) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (* 2 i)) 1))))>
#<alt (+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ i (* (+ 1 (+ beta (* 2 i))) (- (+ beta (* 2 i)) 1))) (/ (* (pow i 2) (+ (* 2 beta) (* 4 i))) (* (pow (+ 1 (+ beta (* 2 i))) 2) (pow (- (+ beta (* 2 i)) 1) 2))))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (* 2 i)) 1))) (/ (pow i 2) (* (pow (+ 1 (+ beta (* 2 i))) 2) (pow (- (+ beta (* 2 i)) 1) 2)))))) (/ i (* (+ 1 (+ beta (* 2 i))) (- (+ beta (* 2 i)) 1)))) (/ (* (pow i 2) (+ (* 2 beta) (* 4 i))) (* (pow (+ 1 (+ beta (* 2 i))) 2) (pow (- (+ beta (* 2 i)) 1) 2))))) (/ (pow i 2) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (* 2 i)) 1))))>
#<alt (+ (* alpha (- (+ (* alpha (- (* alpha (- (/ (* (pow i 2) (+ (* 2 beta) (* 4 i))) (* (pow (+ 1 (+ beta (* 2 i))) 3) (pow (- (+ beta (* 2 i)) 1) 3))) (+ (* -1 (/ (* (+ (* 2 beta) (* 4 i)) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ i (* (+ 1 (+ beta (* 2 i))) (- (+ beta (* 2 i)) 1))) (/ (* (pow i 2) (+ (* 2 beta) (* 4 i))) (* (pow (+ 1 (+ beta (* 2 i))) 2) (pow (- (+ beta (* 2 i)) 1) 2))))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (* 2 i)) 1))) (/ (pow i 2) (* (pow (+ 1 (+ beta (* 2 i))) 2) (pow (- (+ beta (* 2 i)) 1) 2))))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (* 2 i)) 1)))) (/ i (* (pow (+ 1 (+ beta (* 2 i))) 2) (pow (- (+ beta (* 2 i)) 1) 2)))))) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ i (* (+ 1 (+ beta (* 2 i))) (- (+ beta (* 2 i)) 1))) (/ (* (pow i 2) (+ (* 2 beta) (* 4 i))) (* (pow (+ 1 (+ beta (* 2 i))) 2) (pow (- (+ beta (* 2 i)) 1) 2))))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (* 2 i)) 1))) (/ (pow i 2) (* (pow (+ 1 (+ beta (* 2 i))) 2) (pow (- (+ beta (* 2 i)) 1) 2)))))) (/ i (* (+ 1 (+ beta (* 2 i))) (- (+ beta (* 2 i)) 1)))) (/ (* (pow i 2) (+ (* 2 beta) (* 4 i))) (* (pow (+ 1 (+ beta (* 2 i))) 2) (pow (- (+ beta (* 2 i)) 1) 2))))) (/ (pow i 2) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (* 2 i)) 1))))>
#<alt (/ i alpha)>
#<alt (/ (- (+ i (/ (pow i 2) alpha)) (/ (* i (+ (* 2 beta) (* 4 i))) alpha)) alpha)>
#<alt (/ (- (+ i (+ (* -1 (/ (+ (* i (* (+ 1 (+ beta (* 2 i))) (- (+ beta (* 2 i)) 1))) (* (+ (* 2 beta) (* 4 i)) (- (pow i 2) (* i (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))) (/ (pow i 2) alpha))) (/ (* i (+ (* 2 beta) (* 4 i))) alpha)) alpha)>
#<alt (/ (- (+ i (+ (* -1 (/ (+ (* -1 (* (+ (* 2 beta) (* 4 i)) (+ (* i (* (+ 1 (+ beta (* 2 i))) (- (+ beta (* 2 i)) 1))) (* (+ (* 2 beta) (* 4 i)) (- (pow i 2) (* i (+ (* 2 beta) (* 4 i)))))))) (* (+ 1 (+ beta (* 2 i))) (* (- (+ beta (* 2 i)) 1) (- (pow i 2) (* i (+ (* 2 beta) (* 4 i))))))) (pow alpha 3))) (/ (pow i 2) alpha))) (+ (/ (* i (* (+ 1 (+ beta (* 2 i))) (- (+ beta (* 2 i)) 1))) (pow alpha 2)) (+ (/ (* i (+ (* 2 beta) (* 4 i))) alpha) (/ (* (+ (* 2 beta) (* 4 i)) (- (pow i 2) (* i (+ (* 2 beta) (* 4 i))))) (pow alpha 2))))) alpha)>
#<alt (/ i alpha)>
#<alt (* -1 (/ (+ (* -1 i) (* -1 (/ (- (pow i 2) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (* 2 i)) 1)))))) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (* i (* (+ 1 (+ beta (* 2 i))) (- (+ beta (* 2 i)) 1))) alpha)) (+ (/ (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (* 2 i)) 1))) (- (pow i 2) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (* 2 i)) 1))))))) alpha) (pow i 2))) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (* 2 i)) 1)))))) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (* i (* (+ 1 (+ beta (* 2 i))) (- (+ beta (* 2 i)) 1)))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (* 2 i)) 1))) (- (pow i 2) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (* 2 i)) 1)))))))) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (* 2 i)) 1)))) alpha)) (/ (* (+ 1 (+ beta (* 2 i))) (* (- (+ beta (* 2 i)) 1) (- (pow i 2) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (* 2 i)) 1)))))))) alpha)) (+ (* -1 (* i (* (+ 1 (+ beta (* 2 i))) (- (+ beta (* 2 i)) 1)))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (* 2 i)) 1))) (- (pow i 2) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (* 2 i)) 1))))))))) alpha)) (pow i 2)) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (* 2 i)) 1)))))) alpha))) alpha))>
#<alt (/ (* i (+ alpha i)) (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (* 2 i)) 1)))>
#<alt (+ (* -1 (/ (* beta (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))) (* (pow (+ 1 (+ alpha (* 2 i))) 2) (pow (- (+ alpha (* 2 i)) 1) 2)))) (/ (* i (+ alpha i)) (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (* 2 i)) 1))))>
#<alt (+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* i (* (+ alpha i) (pow (+ (* 2 alpha) (* 4 i)) 2))) (* (pow (+ 1 (+ alpha (* 2 i))) 3) (pow (- (+ alpha (* 2 i)) 1) 3)))) (/ (* i (+ alpha i)) (* (pow (+ 1 (+ alpha (* 2 i))) 2) (pow (- (+ alpha (* 2 i)) 1) 2)))))) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 1 (+ alpha (* 2 i))) 2) (pow (- (+ alpha (* 2 i)) 1) 2))))) (/ (* i (+ alpha i)) (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (* 2 i)) 1))))>
#<alt (+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1 (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 1 (+ alpha (* 2 i))) 3) (pow (- (+ alpha (* 2 i)) 1) 3)))) (* -1 (/ (* (+ (* -1 (/ (* i (* (+ alpha i) (pow (+ (* 2 alpha) (* 4 i)) 2))) (* (pow (+ 1 (+ alpha (* 2 i))) 3) (pow (- (+ alpha (* 2 i)) 1) 3)))) (/ (* i (+ alpha i)) (* (pow (+ 1 (+ alpha (* 2 i))) 2) (pow (- (+ alpha (* 2 i)) 1) 2)))) (+ (* 2 alpha) (* 4 i))) (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (* 2 i)) 1))))))) (+ (* -1 (/ (* i (* (+ alpha i) (pow (+ (* 2 alpha) (* 4 i)) 2))) (* (pow (+ 1 (+ alpha (* 2 i))) 3) (pow (- (+ alpha (* 2 i)) 1) 3)))) (/ (* i (+ alpha i)) (* (pow (+ 1 (+ alpha (* 2 i))) 2) (pow (- (+ alpha (* 2 i)) 1) 2)))))) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 1 (+ alpha (* 2 i))) 2) (pow (- (+ alpha (* 2 i)) 1) 2))))) (/ (* i (+ alpha i)) (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (* 2 i)) 1))))>
#<alt (/ (* i (+ alpha i)) (pow beta 2))>
#<alt (/ (+ (* -1 (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta)) (* i (+ alpha i))) (pow beta 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* i (* (+ alpha i) (pow (+ (* 2 alpha) (* 4 i)) 2)))) (* i (* (+ 1 (+ alpha (* 2 i))) (* (+ alpha i) (- (+ alpha (* 2 i)) 1))))) (pow beta 2))) (* i (+ alpha i))) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta)) (pow beta 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* i (* (+ 1 (+ alpha (* 2 i))) (* (+ alpha i) (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)))))) (* -1 (* (+ (* -1 (* i (* (+ alpha i) (pow (+ (* 2 alpha) (* 4 i)) 2)))) (* i (* (+ 1 (+ alpha (* 2 i))) (* (+ alpha i) (- (+ alpha (* 2 i)) 1))))) (+ (* 2 alpha) (* 4 i))))) (pow beta 3))) (* i (+ alpha i))) (+ (* -1 (/ (* i (* (+ alpha i) (pow (+ (* 2 alpha) (* 4 i)) 2))) (pow beta 2))) (+ (/ (* i (* (+ 1 (+ alpha (* 2 i))) (* (+ alpha i) (- (+ alpha (* 2 i)) 1)))) (pow beta 2)) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta)))) (pow beta 2))>
#<alt (/ (* i (+ alpha i)) (pow beta 2))>
#<alt (/ (+ (* i (+ alpha i)) (/ (* i (* (+ alpha i) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (* 2 i)) 1))))) beta)) (pow beta 2))>
#<alt (/ (+ (* -1 (/ (- (+ (* -1 (/ (* i (* (+ alpha i) (pow (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (* 2 i)) 1))) 2))) beta)) (/ (* i (* (+ 1 (+ alpha (* 2 i))) (* (+ alpha i) (- (+ alpha (* 2 i)) 1)))) beta)) (* i (* (+ alpha i) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (* 2 i)) 1)))))) beta)) (* i (+ alpha i))) (pow beta 2))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* i (* (+ 1 (+ alpha (* 2 i))) (* (+ alpha i) (* (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (* 2 i)) 1))) (- (+ alpha (* 2 i)) 1))))) beta)) (* -1 (/ (* (+ (* -1 (* i (* (+ alpha i) (pow (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (* 2 i)) 1))) 2)))) (* i (* (+ 1 (+ alpha (* 2 i))) (* (+ alpha i) (- (+ alpha (* 2 i)) 1))))) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (* 2 i)) 1)))) beta))) (+ (* -1 (* i (* (+ alpha i) (pow (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (* 2 i)) 1))) 2)))) (* i (* (+ 1 (+ alpha (* 2 i))) (* (+ alpha i) (- (+ alpha (* 2 i)) 1)))))) beta)) (* i (* (+ alpha i) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (* 2 i)) 1)))))) beta)) (* i (+ alpha i))) (pow beta 2))>
#<alt (/ alpha (+ 1 (+ alpha beta)))>
#<alt (+ (* i (- (/ 1 (+ 1 (+ alpha beta))) (* 2 (/ alpha (pow (+ 1 (+ alpha beta)) 2))))) (/ alpha (+ 1 (+ alpha beta))))>
#<alt (+ (* i (- (+ (* -2 (/ (* i (- (/ 1 (+ 1 (+ alpha beta))) (* 2 (/ alpha (pow (+ 1 (+ alpha beta)) 2))))) (+ 1 (+ alpha beta)))) (/ 1 (+ 1 (+ alpha beta)))) (* 2 (/ alpha (pow (+ 1 (+ alpha beta)) 2))))) (/ alpha (+ 1 (+ alpha beta))))>
#<alt (+ (* i (- (+ (* i (- (* 4 (/ (* i (- (/ 1 (+ 1 (+ alpha beta))) (* 2 (/ alpha (pow (+ 1 (+ alpha beta)) 2))))) (pow (+ 1 (+ alpha beta)) 2))) (* 2 (/ (- (/ 1 (+ 1 (+ alpha beta))) (* 2 (/ alpha (pow (+ 1 (+ alpha beta)) 2)))) (+ 1 (+ alpha beta)))))) (/ 1 (+ 1 (+ alpha beta)))) (* 2 (/ alpha (pow (+ 1 (+ alpha beta)) 2))))) (/ alpha (+ 1 (+ alpha beta))))>
#<alt 1/2>
#<alt (- (+ 1/2 (* 1/2 (/ alpha i))) (* 1/4 (/ (+ 1 (+ alpha beta)) i)))>
#<alt (- (+ 1/2 (+ (* -1/2 (/ (* (+ 1 (+ alpha beta)) (- (* 1/2 alpha) (* 1/4 (+ 1 (+ alpha beta))))) (pow i 2))) (* 1/2 (/ alpha i)))) (* 1/4 (/ (+ 1 (+ alpha beta)) i)))>
#<alt (- (+ 1/2 (+ (* 1/4 (/ (* (pow (+ 1 (+ alpha beta)) 2) (- (* 1/2 alpha) (* 1/4 (+ 1 (+ alpha beta))))) (pow i 3))) (* 1/2 (/ alpha i)))) (+ (* 1/4 (/ (+ 1 (+ alpha beta)) i)) (* 1/2 (/ (* (+ 1 (+ alpha beta)) (- (* 1/2 alpha) (* 1/4 (+ 1 (+ alpha beta))))) (pow i 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1 (/ (- (* -1/2 alpha) (* -1/4 (+ 1 (+ alpha beta)))) i)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/2 alpha) (* -1/2 (/ (* (+ 1 (+ alpha beta)) (- (* -1/2 alpha) (* -1/4 (+ 1 (+ alpha beta))))) i))) (* -1/4 (+ 1 (+ alpha beta)))) i)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* -1/4 (/ (* (pow (+ 1 (+ alpha beta)) 2) (- (* -1/2 alpha) (* -1/4 (+ 1 (+ alpha beta))))) i)) (* -1/2 (* (+ 1 (+ alpha beta)) (- (* -1/2 alpha) (* -1/4 (+ 1 (+ alpha beta))))))) i)) (* -1/2 alpha)) (* -1/4 (+ 1 (+ alpha beta)))) i)))>
#<alt (/ i (+ 1 (+ beta (* 2 i))))>
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#<alt 1>
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#<alt (- (+ 1 (+ (/ i alpha) (/ (* (pow (+ 1 (+ beta (* 2 i))) 2) (- i (+ 1 (+ beta (* 2 i))))) (pow alpha 3)))) (+ (* 2 (/ i alpha)) (+ (/ 1 alpha) (+ (/ beta alpha) (/ (* (+ 1 (+ beta (* 2 i))) (- i (+ 1 (+ beta (* 2 i))))) (pow alpha 2))))))>
#<alt 1>
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#<alt (+ (* beta (- (* beta (- (* -1 (* beta (+ (/ alpha (pow (+ 1 (+ alpha (* 2 i))) 4)) (/ i (pow (+ 1 (+ alpha (* 2 i))) 4))))) (* -1 (/ (+ (/ alpha (pow (+ 1 (+ alpha (* 2 i))) 2)) (/ i (pow (+ 1 (+ alpha (* 2 i))) 2))) (+ 1 (+ alpha (* 2 i))))))) (+ (/ alpha (pow (+ 1 (+ alpha (* 2 i))) 2)) (/ i (pow (+ 1 (+ alpha (* 2 i))) 2))))) (+ (/ alpha (+ 1 (+ alpha (* 2 i)))) (/ i (+ 1 (+ alpha (* 2 i))))))>
#<alt (/ (+ alpha i) beta)>
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#<alt (/ (+ alpha i) beta)>
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#<alt (/ 1 alpha)>
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#<alt (/ 1 alpha)>
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#<alt (/ 1/2 i)>
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#<alt (/ 1/2 i)>
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#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow (- (+ alpha beta) 1) 3) i)) (* 1/8 (pow (- (+ alpha beta) 1) 2))) i)) (* 1/4 (- (+ alpha beta) 1))) i)) 1/2) i))>
#<alt (/ 1 (- (+ alpha (* 2 i)) 1))>
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#<alt (/ 1 beta)>
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#<alt (/ 1 beta)>
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#<alt (/ i (pow beta 2))>
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#<alt (pow beta 2)>
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#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
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#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (/ (* alpha i) (pow beta 2))>
#<alt (* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2))))>
#<alt (* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2))))>
#<alt (* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2))))>
#<alt (/ (pow i 2) (pow beta 2))>
#<alt (* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))>
#<alt (* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))>
#<alt (* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))>
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#<alt (* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))>
#<alt (* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))>
#<alt (* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i))))>
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#<alt (* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2)))))>
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#<alt (* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2)))))))>
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#<alt (/ alpha beta)>
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#<alt (+ (/ alpha beta) (/ i beta))>
#<alt (+ (/ alpha beta) (/ i beta))>
#<alt (/ i beta)>
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#<alt (* i (+ (/ 1 beta) (/ alpha (* beta i))))>
#<alt (* i (+ (/ 1 beta) (/ alpha (* beta i))))>
#<alt (/ i beta)>
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#<alt (* -1 (* i (- (* -1 (/ alpha (* beta i))) (/ 1 beta))))>
#<alt (* -1 (* i (- (* -1 (/ alpha (* beta i))) (/ 1 beta))))>
#<alt (/ i beta)>
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#<alt (+ (/ alpha beta) (/ i beta))>
#<alt (+ (/ alpha beta) (/ i beta))>
#<alt (/ alpha beta)>
#<alt (* alpha (+ (/ 1 beta) (/ i (* alpha beta))))>
#<alt (* alpha (+ (/ 1 beta) (/ i (* alpha beta))))>
#<alt (* alpha (+ (/ 1 beta) (/ i (* alpha beta))))>
#<alt (/ alpha beta)>
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#<alt (* -1 (* alpha (- (* -1 (/ i (* alpha beta))) (/ 1 beta))))>
#<alt (* -1 (* alpha (- (* -1 (/ i (* alpha beta))) (/ 1 beta))))>
#<alt (/ (+ alpha i) beta)>
#<alt (/ (+ alpha i) beta)>
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#<alt (/ (+ alpha i) beta)>
#<alt alpha>
#<alt (+ alpha i)>
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#<alt (+ alpha i)>
#<alt i>
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#<alt (* i (+ 1 (/ alpha i)))>
#<alt (* i (+ 1 (/ alpha i)))>
#<alt i>
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#<alt (* -1 (* i (- (* -1 (/ alpha i)) 1)))>
#<alt i>
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#<alt (+ alpha i)>
#<alt alpha>
#<alt (* alpha (+ 1 (/ i alpha)))>
#<alt (* alpha (+ 1 (/ i alpha)))>
#<alt (* alpha (+ 1 (/ i alpha)))>
#<alt alpha>
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#<alt (* -1 (* alpha (- (* -1 (/ i alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ i alpha)) 1)))>
#<alt (/ i beta)>
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#<alt (/ i beta)>
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#<alt (/ i beta)>
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#<alt (* i (+ (* -4 (/ (* beta i) (pow (- (pow beta 2) 1) 2))) (/ 1 (- (pow beta 2) 1))))>
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#<alt (* i (+ (* i (- (* i (- (* -1 (* i (+ (* -16 (/ beta (pow (- (pow beta 2) 1) 3))) (* -4 (/ (* beta (+ (* -16 (/ (pow beta 2) (pow (- (pow beta 2) 1) 3))) (* 4 (/ 1 (pow (- (pow beta 2) 1) 2))))) (- (pow beta 2) 1)))))) (+ (* -16 (/ (pow beta 2) (pow (- (pow beta 2) 1) 3))) (* 4 (/ 1 (pow (- (pow beta 2) 1) 2)))))) (* 4 (/ beta (pow (- (pow beta 2) 1) 2))))) (/ 1 (- (pow beta 2) 1))))>
#<alt (/ 1/4 i)>
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#<alt (/ 1/4 i)>
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#<alt (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (- (pow beta 2) 1) i)) (* 1/4 (/ (pow beta 2) i))) (* 1/4 beta)) i)) 1/4) i))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* beta (- (pow beta 2) 1)) i)) (/ (* beta (+ (* -1/16 (- (pow beta 2) 1)) (* 1/4 (pow beta 2)))) i)) (+ (* -1/16 (- (pow beta 2) 1)) (* 1/4 (pow beta 2)))) i)) (* 1/4 beta)) i)) 1/4) i))>
#<alt (/ i (- (* 4 (pow i 2)) 1))>
#<alt (+ (* -4 (/ (* beta (pow i 2)) (pow (- (* 4 (pow i 2)) 1) 2))) (/ i (- (* 4 (pow i 2)) 1)))>
#<alt (+ (* beta (- (* -1 (* beta (+ (* -16 (/ (pow i 3) (pow (- (* 4 (pow i 2)) 1) 3))) (/ i (pow (- (* 4 (pow i 2)) 1) 2))))) (* 4 (/ (pow i 2) (pow (- (* 4 (pow i 2)) 1) 2))))) (/ i (- (* 4 (pow i 2)) 1)))>
#<alt (+ (* beta (- (* beta (- (* -1 (* beta (+ (* -4 (/ (* i (+ (* -16 (/ (pow i 3) (pow (- (* 4 (pow i 2)) 1) 3))) (/ i (pow (- (* 4 (pow i 2)) 1) 2)))) (- (* 4 (pow i 2)) 1))) (* -4 (/ (pow i 2) (pow (- (* 4 (pow i 2)) 1) 3)))))) (+ (* -16 (/ (pow i 3) (pow (- (* 4 (pow i 2)) 1) 3))) (/ i (pow (- (* 4 (pow i 2)) 1) 2))))) (* 4 (/ (pow i 2) (pow (- (* 4 (pow i 2)) 1) 2))))) (/ i (- (* 4 (pow i 2)) 1)))>
#<alt (/ i (pow beta 2))>
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#<alt (/ (- (+ i (* -1 (/ (+ (* -16 (pow i 3)) (* i (- (* 4 (pow i 2)) 1))) (pow beta 2)))) (* 4 (/ (pow i 2) beta))) (pow beta 2))>
#<alt (/ (- (+ i (* -1 (/ (+ (* -4 (* i (+ (* -16 (pow i 3)) (* i (- (* 4 (pow i 2)) 1))))) (* -4 (* (pow i 2) (- (* 4 (pow i 2)) 1)))) (pow beta 3)))) (+ (* -16 (/ (pow i 3) (pow beta 2))) (+ (* 4 (/ (pow i 2) beta)) (/ (* i (- (* 4 (pow i 2)) 1)) (pow beta 2))))) (pow beta 2))>
#<alt (/ i (pow beta 2))>
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#<alt (/ (+ i (* -1 (/ (- (* -1 (/ (- (+ (* 4 (/ (* i (+ (* -16 (pow i 3)) (* i (- (* 4 (pow i 2)) 1)))) beta)) (* 4 (/ (* (pow i 2) (- (* 4 (pow i 2)) 1)) beta))) (+ (* -16 (pow i 3)) (* i (- (* 4 (pow i 2)) 1)))) beta)) (* -4 (pow i 2))) beta))) (pow beta 2))>
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#<alt (* (pow i 2) (+ (* i (- (* i (- (* -1 (* i (+ (* -16 (/ beta (pow (- (pow beta 2) 1) 3))) (* -4 (/ (* beta (+ (* -16 (/ (pow beta 2) (pow (- (pow beta 2) 1) 3))) (* 4 (/ 1 (pow (- (pow beta 2) 1) 2))))) (- (pow beta 2) 1)))))) (+ (* -16 (/ (pow beta 2) (pow (- (pow beta 2) 1) 3))) (* 4 (/ 1 (pow (- (pow beta 2) 1) 2)))))) (* 4 (/ beta (pow (- (pow beta 2) 1) 2))))) (/ 1 (- (pow beta 2) 1))))>
#<alt 1/4>
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#<alt (- (+ 1/4 (* -1 (/ (+ (* -1 (* beta (+ (* -1/4 (pow beta 2)) (* 1/16 (- (pow beta 2) 1))))) (* -1/16 (* beta (- (pow beta 2) 1)))) (pow i 3)))) (+ (* -1/4 (/ (pow beta 2) (pow i 2))) (+ (* 1/16 (/ (- (pow beta 2) 1) (pow i 2))) (* 1/4 (/ beta i)))))>
#<alt 1/4>
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#<alt (+ 1/4 (* -1 (/ (- (* -1 (/ (- (+ (* 1/16 (/ (* beta (- (pow beta 2) 1)) i)) (/ (* beta (+ (* -1/4 (pow beta 2)) (* 1/16 (- (pow beta 2) 1)))) i)) (+ (* -1/4 (pow beta 2)) (* 1/16 (- (pow beta 2) 1)))) i)) (* -1/4 beta)) i)))>
#<alt (/ (pow i 2) (- (* 4 (pow i 2)) 1))>
#<alt (+ (* -4 (/ (* beta (pow i 3)) (pow (- (* 4 (pow i 2)) 1) 2))) (/ (pow i 2) (- (* 4 (pow i 2)) 1)))>
#<alt (+ (* beta (- (* -1 (* beta (+ (* -16 (/ (pow i 4) (pow (- (* 4 (pow i 2)) 1) 3))) (/ (pow i 2) (pow (- (* 4 (pow i 2)) 1) 2))))) (* 4 (/ (pow i 3) (pow (- (* 4 (pow i 2)) 1) 2))))) (/ (pow i 2) (- (* 4 (pow i 2)) 1)))>
#<alt (+ (* beta (- (* beta (- (* -1 (* beta (+ (* -4 (/ (* i (+ (* -16 (/ (pow i 4) (pow (- (* 4 (pow i 2)) 1) 3))) (/ (pow i 2) (pow (- (* 4 (pow i 2)) 1) 2)))) (- (* 4 (pow i 2)) 1))) (* -4 (/ (pow i 3) (pow (- (* 4 (pow i 2)) 1) 3)))))) (+ (* -16 (/ (pow i 4) (pow (- (* 4 (pow i 2)) 1) 3))) (/ (pow i 2) (pow (- (* 4 (pow i 2)) 1) 2))))) (* 4 (/ (pow i 3) (pow (- (* 4 (pow i 2)) 1) 2))))) (/ (pow i 2) (- (* 4 (pow i 2)) 1)))>
#<alt (/ (pow i 2) (pow beta 2))>
#<alt (/ (+ (* -4 (/ (pow i 3) beta)) (pow i 2)) (pow beta 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -16 (pow i 4)) (* (pow i 2) (- (* 4 (pow i 2)) 1))) (pow beta 2))) (pow i 2)) (* 4 (/ (pow i 3) beta))) (pow beta 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -4 (* i (+ (* -16 (pow i 4)) (* (pow i 2) (- (* 4 (pow i 2)) 1))))) (* -4 (* (pow i 3) (- (* 4 (pow i 2)) 1)))) (pow beta 3))) (pow i 2)) (+ (* -16 (/ (pow i 4) (pow beta 2))) (+ (* 4 (/ (pow i 3) beta)) (/ (* (pow i 2) (- (* 4 (pow i 2)) 1)) (pow beta 2))))) (pow beta 2))>
#<alt (/ (pow i 2) (pow beta 2))>
#<alt (/ (+ (* -4 (/ (pow i 3) beta)) (pow i 2)) (pow beta 2))>
#<alt (/ (+ (* -1 (/ (- (+ (* -16 (/ (pow i 4) beta)) (/ (* (pow i 2) (- (* 4 (pow i 2)) 1)) beta)) (* -4 (pow i 3))) beta)) (pow i 2)) (pow beta 2))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 4 (/ (* i (+ (* -16 (pow i 4)) (* (pow i 2) (- (* 4 (pow i 2)) 1)))) beta)) (* 4 (/ (* (pow i 3) (- (* 4 (pow i 2)) 1)) beta))) (+ (* -16 (pow i 4)) (* (pow i 2) (- (* 4 (pow i 2)) 1)))) beta)) (* -4 (pow i 3))) beta)) (pow i 2)) (pow beta 2))>
#<alt (- (pow beta 2) 1)>
#<alt (- (+ (* 4 (* beta i)) (pow beta 2)) 1)>
#<alt (- (+ (* i (+ (* 4 beta) (* 4 i))) (pow beta 2)) 1)>
#<alt (- (+ (* i (+ (* 4 beta) (* 4 i))) (pow beta 2)) 1)>
#<alt (* 4 (pow i 2))>
#<alt (* (pow i 2) (+ 4 (* 4 (/ beta i))))>
#<alt (* (pow i 2) (- (+ 4 (+ (* 4 (/ beta i)) (/ (pow beta 2) (pow i 2)))) (/ 1 (pow i 2))))>
#<alt (* (pow i 2) (- (+ 4 (+ (* 4 (/ beta i)) (/ (pow beta 2) (pow i 2)))) (/ 1 (pow i 2))))>
#<alt (* 4 (pow i 2))>
#<alt (* (pow i 2) (+ 4 (* 4 (/ beta i))))>
#<alt (* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 beta) (* -1 (/ (- (pow beta 2) 1) i))) i))))>
#<alt (* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 beta) (* -1 (/ (- (pow beta 2) 1) i))) i))))>
#<alt (- (* 4 (pow i 2)) 1)>
#<alt (- (+ (* 4 (* beta i)) (* 4 (pow i 2))) 1)>
#<alt (- (+ (* 4 (pow i 2)) (* beta (+ beta (* 4 i)))) 1)>
#<alt (- (+ (* 4 (pow i 2)) (* beta (+ beta (* 4 i)))) 1)>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (* 4 (/ i beta))))>
#<alt (* (pow beta 2) (- (+ 1 (+ (* 4 (/ i beta)) (* 4 (/ (pow i 2) (pow beta 2))))) (/ 1 (pow beta 2))))>
#<alt (* (pow beta 2) (- (+ 1 (+ (* 4 (/ i beta)) (* 4 (/ (pow i 2) (pow beta 2))))) (/ 1 (pow beta 2))))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (* 4 (/ i beta))))>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (+ (* -4 i) (* -1 (/ (- (* 4 (pow i 2)) 1) beta))) beta))))>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (+ (* -4 i) (* -1 (/ (- (* 4 (pow i 2)) 1) beta))) beta))))>
#<alt beta>
#<alt (+ beta (* 2 i))>
#<alt (+ beta (* 2 i))>
#<alt (+ beta (* 2 i))>
#<alt (* 2 i)>
#<alt (* i (+ 2 (/ beta i)))>
#<alt (* i (+ 2 (/ beta i)))>
#<alt (* i (+ 2 (/ beta i)))>
#<alt (* 2 i)>
#<alt (* -1 (* i (- (* -1 (/ beta i)) 2)))>
#<alt (* -1 (* i (- (* -1 (/ beta i)) 2)))>
#<alt (* -1 (* i (- (* -1 (/ beta i)) 2)))>
#<alt (* 2 i)>
#<alt (+ beta (* 2 i))>
#<alt (+ beta (* 2 i))>
#<alt (+ beta (* 2 i))>
#<alt beta>
#<alt (* beta (+ 1 (* 2 (/ i beta))))>
#<alt (* beta (+ 1 (* 2 (/ i beta))))>
#<alt (* beta (+ 1 (* 2 (/ i beta))))>
#<alt beta>
#<alt (* -1 (* beta (- (* -2 (/ i beta)) 1)))>
#<alt (* -1 (* beta (- (* -2 (/ i beta)) 1)))>
#<alt (* -1 (* beta (- (* -2 (/ i beta)) 1)))>
#<alt (pow i 2)>
#<alt (* (pow i 2) (+ 1 (* -4 (/ i beta))))>
#<alt (* (pow i 2) (+ 1 (* -4 (/ i beta))))>
#<alt (* (pow i 2) (+ 1 (* -4 (/ i beta))))>
#<alt (* -4 (/ (pow i 3) beta))>
#<alt (* (pow i 3) (- (/ 1 i) (* 4 (/ 1 beta))))>
#<alt (* (pow i 3) (- (/ 1 i) (* 4 (/ 1 beta))))>
#<alt (* (pow i 3) (- (/ 1 i) (* 4 (/ 1 beta))))>
#<alt (* -4 (/ (pow i 3) beta))>
#<alt (* -1 (* (pow i 3) (- (* 4 (/ 1 beta)) (/ 1 i))))>
#<alt (* -1 (* (pow i 3) (- (* 4 (/ 1 beta)) (/ 1 i))))>
#<alt (* -1 (* (pow i 3) (- (* 4 (/ 1 beta)) (/ 1 i))))>
#<alt (* -4 (/ (pow i 3) beta))>
#<alt (/ (+ (* -4 (pow i 3)) (* beta (pow i 2))) beta)>
#<alt (/ (+ (* -4 (pow i 3)) (* beta (pow i 2))) beta)>
#<alt (/ (+ (* -4 (pow i 3)) (* beta (pow i 2))) beta)>
#<alt (pow i 2)>
#<alt (+ (* -4 (/ (pow i 3) beta)) (pow i 2))>
#<alt (+ (* -4 (/ (pow i 3) beta)) (pow i 2))>
#<alt (+ (* -4 (/ (pow i 3) beta)) (pow i 2))>
#<alt (pow i 2)>
#<alt (+ (* -4 (/ (pow i 3) beta)) (pow i 2))>
#<alt (+ (* -4 (/ (pow i 3) beta)) (pow i 2))>
#<alt (+ (* -4 (/ (pow i 3) beta)) (pow i 2))>
#<alt (/ (pow i 2) (pow beta 2))>
#<alt (* (pow i 2) (+ (* -4 (/ i (pow beta 3))) (/ 1 (pow beta 2))))>
#<alt (* (pow i 2) (+ (* -4 (/ i (pow beta 3))) (/ 1 (pow beta 2))))>
#<alt (* (pow i 2) (+ (* -4 (/ i (pow beta 3))) (/ 1 (pow beta 2))))>
#<alt (* -4 (/ (pow i 3) (pow beta 3)))>
#<alt (* (pow i 3) (- (/ 1 (* (pow beta 2) i)) (* 4 (/ 1 (pow beta 3)))))>
#<alt (* (pow i 3) (- (/ 1 (* (pow beta 2) i)) (* 4 (/ 1 (pow beta 3)))))>
#<alt (* (pow i 3) (- (/ 1 (* (pow beta 2) i)) (* 4 (/ 1 (pow beta 3)))))>
#<alt (* -4 (/ (pow i 3) (pow beta 3)))>
#<alt (* -1 (* (pow i 3) (- (* 4 (/ 1 (pow beta 3))) (/ 1 (* (pow beta 2) i)))))>
#<alt (* -1 (* (pow i 3) (- (* 4 (/ 1 (pow beta 3))) (/ 1 (* (pow beta 2) i)))))>
#<alt (* -1 (* (pow i 3) (- (* 4 (/ 1 (pow beta 3))) (/ 1 (* (pow beta 2) i)))))>
#<alt (* -4 (/ (pow i 3) (pow beta 3)))>
#<alt (/ (+ (* -4 (pow i 3)) (* beta (pow i 2))) (pow beta 3))>
#<alt (/ (+ (* -4 (pow i 3)) (* beta (pow i 2))) (pow beta 3))>
#<alt (/ (+ (* -4 (pow i 3)) (* beta (pow i 2))) (pow beta 3))>
#<alt (/ (pow i 2) (pow beta 2))>
#<alt (/ (+ (* -4 (/ (pow i 3) beta)) (pow i 2)) (pow beta 2))>
#<alt (/ (+ (* -4 (/ (pow i 3) beta)) (pow i 2)) (pow beta 2))>
#<alt (/ (+ (* -4 (/ (pow i 3) beta)) (pow i 2)) (pow beta 2))>
#<alt (/ (pow i 2) (pow beta 2))>
#<alt (/ (+ (* -4 (/ (pow i 3) beta)) (pow i 2)) (pow beta 2))>
#<alt (/ (+ (* -4 (/ (pow i 3) beta)) (pow i 2)) (pow beta 2))>
#<alt (/ (+ (* -4 (/ (pow i 3) beta)) (pow i 2)) (pow beta 2))>
#<alt (/ (pow i 3) beta)>
#<alt (/ (pow i 3) beta)>
#<alt (/ (pow i 3) beta)>
#<alt (/ (pow i 3) beta)>
#<alt (/ (pow i 3) beta)>
#<alt (/ (pow i 3) beta)>
#<alt (/ (pow i 3) beta)>
#<alt (/ (pow i 3) beta)>
#<alt (/ (pow i 3) beta)>
#<alt (/ (pow i 3) beta)>
#<alt (/ (pow i 3) beta)>
#<alt (/ (pow i 3) beta)>
#<alt (/ (pow i 3) beta)>
#<alt (/ (pow i 3) beta)>
#<alt (/ (pow i 3) beta)>
#<alt (/ (pow i 3) beta)>
#<alt (/ (pow i 3) beta)>
#<alt (/ (pow i 3) beta)>
#<alt (/ (pow i 3) beta)>
#<alt (/ (pow i 3) beta)>
#<alt (/ (pow i 3) beta)>
#<alt (/ (pow i 3) beta)>
#<alt (/ (pow i 3) beta)>
#<alt (/ (pow i 3) beta)>
#<alt (pow i 3)>
#<alt (pow i 3)>
#<alt (pow i 3)>
#<alt (pow i 3)>
#<alt (pow i 3)>
#<alt (pow i 3)>
#<alt (pow i 3)>
#<alt (pow i 3)>
#<alt (pow i 3)>
#<alt (pow i 3)>
#<alt (pow i 3)>
#<alt (pow i 3)>

Calls

129 calls:

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

rewrite384.0ms (2.6%)

Memory

2.8MiB live, 594.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 466×	`lower-/.f32`
5 450×	`lower-/.f64`
4 660×	`lower-*.f32`
4 644×	`lower-*.f64`
2 426×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	174
0	58	160
1	251	156
2	2170	156
0	8529	156

Stop Event

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

Counts

19 → 705

Calls

Call 1

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

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

simplify509.0ms (3.5%)

Memory

-6.2MiB live, 871.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 104×	`lower-*.f64`
7 104×	`lower-*.f32`
5 660×	`lower-fma.f64`
5 660×	`lower-fma.f32`
4 716×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1337	10831
1	4431	10683
0	9417	9895

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 507

Calls

Call 1

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

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

eval219.0ms (1.5%)

Memory: -13.8MiB live, 386.7MiB allocated
Compiler: Compiled 39 859 to 3 913 computations (90.2% saved)

prune245.0ms (1.7%)

Memory

8.4MiB live, 395.9MiB allocated

Pruning

32 alts after pruning (28 fresh and 4 done)

	Pruned	Kept	Total
New	1 455	12	1 467
Fresh	7	16	23
Picked	4	1	5
Done	0	3	3
Total	1 466	32	1 498

Accuracy

99.0%

Counts

1 498 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	12.4%	(/.f64 (fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta))) (.f64 beta beta))
	22.8%	(/.f64 (/.f64 (*.f64 i (+.f64 i alpha)) beta) beta)
	11.7%	(/.f64 (/.f64 (*.f64 alpha i) beta) beta)
	33.7%	(/.f64 (.f64 (/.f64 (.f64 i i) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta))) (.f64 (+.f64 i beta) (+.f64 i beta))) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))
	26.6%	(/.f64 (*.f64 (/.f64 i beta) (+.f64 i alpha)) beta)
	12.2%	(/.f64 (.f64 (+.f64 i beta) (.f64 i (.f64 i (+.f64 i beta)))) (.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))))
	12.4%	(/.f64 (.f64 (.f64 i (.f64 i i)) (+.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal -4 binary64) beta))) (.f64 beta beta))
	14.9%	(/.f64 (.f64 i i) (.f64 beta beta))
✓	12.9%	(/.f64 (*.f64 alpha i) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))
	4.6%	(/.f64 (*.f64 alpha i) (fma.f64 alpha alpha #s(literal -1 binary64)))
	11.2%	(/.f64 (.f64 alpha i) (.f64 beta beta))
	29.5%	(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
	21.5%	(/.f64 i (*.f64 (/.f64 beta (+.f64 alpha i)) beta))
✓	2.0%	(/.f64 i alpha)
	13.4%	(.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 i i) beta) i) (*.f64 beta beta)) i)
	13.5%	(*.f64 (/.f64 (+.f64 i alpha) (+.f64 alpha (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) beta)))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (+.f64 beta alpha) #s(literal -1 binary64)) i) #s(literal 1/2 binary64)))
	24.3%	(*.f64 (/.f64 (+.f64 i alpha) (+.f64 alpha (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) beta)))) (/.f64 (fma.f64 (neg.f64 i) (/.f64 (+.f64 alpha (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))) beta) i) beta))
	27.0%	(*.f64 (/.f64 (+.f64 i alpha) (+.f64 alpha (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) beta)))) (/.f64 i beta))
	16.2%	(.f64 (/.f64 (+.f64 i alpha) (.f64 beta beta)) i)
	26.7%	(.f64 (/.f64 (+.f64 i alpha) beta) (.f64 (/.f64 #s(literal 1 binary64) beta) i))
	24.3%	(*.f64 (/.f64 (+.f64 alpha (fma.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) alpha))) (/.f64 (+.f64 alpha i) beta) i)) beta) (/.f64 i (+.f64 alpha (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))))
	22.8%	(.f64 (/.f64 (.f64 i (+.f64 i alpha)) beta) (/.f64 #s(literal 1 binary64) beta))
✓	19.2%	(*.f64 (/.f64 i (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))) i)
	19.2%	(.f64 (/.f64 i (fma.f64 i (.f64 #s(literal 4 binary64) (+.f64 beta i)) (fma.f64 beta beta #s(literal -1 binary64)))) i)
	15.1%	(.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (.f64 i beta) (fma.f64 beta beta #s(literal -1 binary64)))) i)
	35.2%	(*.f64 (/.f64 i (+.f64 beta (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)))) (/.f64 i (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) beta))))
	15.4%	(.f64 (/.f64 i (.f64 beta beta)) i)
	25.3%	(*.f64 (/.f64 i beta) (/.f64 i beta))
	12.9%	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))) (.f64 i alpha))
	5.9%	(.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (/.f64 (/.f64 (.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))))
	25.6%	(.f64 (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 i (*.f64 beta alpha)))) (/.f64 i beta))
✓	74.7%	#s(literal 1/16 binary64)

Compiler

Compiled 1 694 to 540 computations (68.1% saved)

regimes96.0ms (0.7%)

Memory

-17.4MiB live, 121.3MiB allocated

Counts

60 → 2

Calls

Call 1

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

Outputs

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

#s(literal 1/16 binary64)

Calls

4 calls:

38.0ms	i
24.0ms	beta
15.0ms	alpha
13.0ms	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
76.9%	2	`alpha`
85.9%	2	`beta`
88.3%	2	`i`
81.2%	2	`(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))`

Compiler

Compiled 68 to 26 computations (61.8% saved)

regimes38.0ms (0.3%)

Memory

4.4MiB live, 86.6MiB allocated

Counts

58 → 2

Calls

Call 1

Inputs
#s(literal 1/16 binary64)
(/.f64 i alpha)
(.f64 alpha (/.f64 i (.f64 beta beta)))
(.f64 (/.f64 i (.f64 beta beta)) i)
(/.f64 (.f64 alpha i) (.f64 beta beta))
(/.f64 (.f64 i i) (.f64 beta beta))
(/.f64 (*.f64 alpha i) (fma.f64 alpha alpha #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 i alpha) (.f64 beta beta)) i)
(/.f64 (.f64 i (+.f64 alpha i)) (.f64 beta beta))
(*.f64 (/.f64 i beta) (/.f64 i beta))
(/.f64 (/.f64 (*.f64 alpha i) beta) beta)
(*.f64 #s(literal 1/2 binary64) (/.f64 i (+.f64 alpha (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))))
(/.f64 (*.f64 alpha i) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 i alpha) beta) (/.f64 i beta))
(/.f64 i (*.f64 (/.f64 beta (+.f64 alpha i)) beta))
(/.f64 (*.f64 (/.f64 i beta) (+.f64 i alpha)) beta)
(/.f64 (/.f64 (*.f64 i (+.f64 i alpha)) beta) beta)
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))) (.f64 i alpha))
(.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (.f64 i beta) (fma.f64 beta beta #s(literal -1 binary64)))) i)
(/.f64 (.f64 i i) (fma.f64 #s(literal 4 binary64) (.f64 i beta) (fma.f64 beta beta #s(literal -1 binary64))))
(*.f64 (/.f64 i (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))) i)
(/.f64 (*.f64 i i) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 i (+.f64 i alpha)) beta) (/.f64 #s(literal 1 binary64) beta))
(.f64 (/.f64 (+.f64 i alpha) beta) (.f64 (/.f64 #s(literal 1 binary64) beta) i))
(.f64 (/.f64 i (fma.f64 i (.f64 #s(literal 4 binary64) (+.f64 beta i)) (fma.f64 beta beta #s(literal -1 binary64)))) i)
(/.f64 (.f64 i i) (fma.f64 (.f64 i #s(literal 4 binary64)) (+.f64 i beta) (fma.f64 beta beta #s(literal -1 binary64))))
(.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (/.f64 (+.f64 alpha i) (.f64 beta (.f64 beta beta))))
(/.f64 (.f64 (.f64 alpha beta) i) (*.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 i alpha) (+.f64 alpha (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) beta)))) (/.f64 i beta))
(*.f64 (/.f64 (+.f64 i alpha) (fma.f64 (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) #s(literal -1 binary64))) i)
(.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 i i) beta) i) (*.f64 beta beta)) i)
(*.f64 (/.f64 i (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) beta))) (/.f64 i (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))))
(*.f64 (/.f64 i (+.f64 beta (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)))) (/.f64 i (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) beta))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) #s(literal -1 binary64))) (.f64 i (+.f64 i alpha)))
(/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 i (.f64 i i)) beta) (.f64 i i)) (.f64 beta beta))
(/.f64 (.f64 i (+.f64 alpha i)) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
(/.f64 (.f64 i (+.f64 alpha i)) (-.f64 (fma.f64 i (.f64 #s(literal 4 binary64) (+.f64 i (+.f64 alpha beta))) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal 1 binary64)))
(/.f64 (fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta))) (.f64 beta beta))
(.f64 (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 i (*.f64 beta alpha)))) (/.f64 i beta))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
(*.f64 (+.f64 i alpha) (/.f64 (/.f64 i (+.f64 alpha (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))) (+.f64 alpha (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) beta)))))
(*.f64 (/.f64 (+.f64 i alpha) (+.f64 alpha (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) beta)))) (/.f64 i (+.f64 alpha (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))))
(*.f64 (/.f64 (+.f64 i alpha) (+.f64 alpha (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) beta)))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 alpha (+.f64 beta #s(literal -1 binary64))) i) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (+.f64 i alpha) (+.f64 alpha (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) beta)))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (+.f64 beta alpha) #s(literal -1 binary64)) i) #s(literal 1/2 binary64)))
(/.f64 (.f64 (.f64 i (.f64 i i)) (+.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal -4 binary64) beta))) (.f64 beta beta))
(.f64 (/.f64 (+.f64 i alpha) (+.f64 alpha (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) beta)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))) i))
(/.f64 (fma.f64 i (+.f64 alpha i) (/.f64 (.f64 (.f64 i #s(literal -2 binary64)) (.f64 (+.f64 alpha i) (fma.f64 i #s(literal 2 binary64) alpha))) beta)) (.f64 beta beta))
(*.f64 (/.f64 (+.f64 i alpha) (+.f64 alpha (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) beta)))) (/.f64 (fma.f64 (neg.f64 i) (/.f64 (+.f64 alpha (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))) beta) i) beta))
(/.f64 (.f64 (.f64 i i) (.f64 (+.f64 beta i) (+.f64 beta i))) (.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))))
(/.f64 (.f64 (+.f64 i beta) (.f64 i (.f64 i (+.f64 i beta)))) (.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 alpha (fma.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 i #s(literal 2 binary64) alpha))) (/.f64 (+.f64 alpha i) beta) i)) beta) (/.f64 i (+.f64 alpha (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))))
(.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (/.f64 (/.f64 (.f64 alpha beta) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))))
(/.f64 (.f64 (/.f64 (.f64 i i) (.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta))) (.f64 (+.f64 i beta) (+.f64 i beta))) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))
(/.f64 (.f64 (+.f64 i (+.f64 alpha beta)) (.f64 i (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)))) (.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))))
(.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (/.f64 (/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)) (.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))))
(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))

Outputs

#s(literal 1/16 binary64)

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

Calls

2 calls:

19.0ms	beta
16.0ms	i

Results

Accuracy	Segments	Branch
85.9%	2	`beta`
84.9%	2	`i`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes15.0ms (0.1%)

Memory

-4.5MiB live, 34.1MiB allocated

Counts

46 → 2

Calls

Call 1

Inputs
#s(literal 1/16 binary64)
(/.f64 i alpha)
(.f64 alpha (/.f64 i (.f64 beta beta)))
(.f64 (/.f64 i (.f64 beta beta)) i)
(/.f64 (.f64 alpha i) (.f64 beta beta))
(/.f64 (.f64 i i) (.f64 beta beta))
(/.f64 (*.f64 alpha i) (fma.f64 alpha alpha #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 i alpha) (.f64 beta beta)) i)
(/.f64 (.f64 i (+.f64 alpha i)) (.f64 beta beta))
(*.f64 (/.f64 i beta) (/.f64 i beta))
(/.f64 (/.f64 (*.f64 alpha i) beta) beta)
(*.f64 #s(literal 1/2 binary64) (/.f64 i (+.f64 alpha (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))))
(/.f64 (*.f64 alpha i) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 i alpha) beta) (/.f64 i beta))
(/.f64 i (*.f64 (/.f64 beta (+.f64 alpha i)) beta))
(/.f64 (*.f64 (/.f64 i beta) (+.f64 i alpha)) beta)
(/.f64 (/.f64 (*.f64 i (+.f64 i alpha)) beta) beta)
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))) (.f64 i alpha))
(.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (.f64 i beta) (fma.f64 beta beta #s(literal -1 binary64)))) i)
(/.f64 (.f64 i i) (fma.f64 #s(literal 4 binary64) (.f64 i beta) (fma.f64 beta beta #s(literal -1 binary64))))
(*.f64 (/.f64 i (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))) i)
(/.f64 (*.f64 i i) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 i (+.f64 i alpha)) beta) (/.f64 #s(literal 1 binary64) beta))
(.f64 (/.f64 (+.f64 i alpha) beta) (.f64 (/.f64 #s(literal 1 binary64) beta) i))
(.f64 (/.f64 i (fma.f64 i (.f64 #s(literal 4 binary64) (+.f64 beta i)) (fma.f64 beta beta #s(literal -1 binary64)))) i)
(/.f64 (.f64 i i) (fma.f64 (.f64 i #s(literal 4 binary64)) (+.f64 i beta) (fma.f64 beta beta #s(literal -1 binary64))))
(.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (/.f64 (+.f64 alpha i) (.f64 beta (.f64 beta beta))))
(/.f64 (.f64 (.f64 alpha beta) i) (*.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 i alpha) (+.f64 alpha (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) beta)))) (/.f64 i beta))
(*.f64 (/.f64 (+.f64 i alpha) (fma.f64 (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) #s(literal -1 binary64))) i)
(.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 i i) beta) i) (*.f64 beta beta)) i)
(*.f64 (/.f64 i (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) beta))) (/.f64 i (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))))
(*.f64 (/.f64 i (+.f64 beta (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)))) (/.f64 i (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) beta))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) #s(literal -1 binary64))) (.f64 i (+.f64 i alpha)))
(/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 i (.f64 i i)) beta) (.f64 i i)) (.f64 beta beta))
(/.f64 (.f64 i (+.f64 alpha i)) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
(/.f64 (.f64 i (+.f64 alpha i)) (-.f64 (fma.f64 i (.f64 #s(literal 4 binary64) (+.f64 i (+.f64 alpha beta))) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal 1 binary64)))
(/.f64 (fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta))) (.f64 beta beta))
(.f64 (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 i (*.f64 beta alpha)))) (/.f64 i beta))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
(*.f64 (+.f64 i alpha) (/.f64 (/.f64 i (+.f64 alpha (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))) (+.f64 alpha (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) beta)))))
(*.f64 (/.f64 (+.f64 i alpha) (+.f64 alpha (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) beta)))) (/.f64 i (+.f64 alpha (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))))
(*.f64 (/.f64 (+.f64 i alpha) (+.f64 alpha (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) beta)))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 alpha (+.f64 beta #s(literal -1 binary64))) i) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (+.f64 i alpha) (+.f64 alpha (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) beta)))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (+.f64 beta alpha) #s(literal -1 binary64)) i) #s(literal 1/2 binary64)))
(/.f64 (.f64 (.f64 i (.f64 i i)) (+.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal -4 binary64) beta))) (.f64 beta beta))

Outputs

#s(literal 1/16 binary64)

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

Calls

1 calls:

12.0ms

beta

Results

Accuracy	Segments	Branch
85.9%	2	`beta`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes13.0ms (0.1%)

Memory

31.3MiB live, 31.3MiB allocated

Counts

42 → 2

Calls

Call 1

Inputs
#s(literal 1/16 binary64)
(/.f64 i alpha)
(.f64 alpha (/.f64 i (.f64 beta beta)))
(.f64 (/.f64 i (.f64 beta beta)) i)
(/.f64 (.f64 alpha i) (.f64 beta beta))
(/.f64 (.f64 i i) (.f64 beta beta))
(/.f64 (*.f64 alpha i) (fma.f64 alpha alpha #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 i alpha) (.f64 beta beta)) i)
(/.f64 (.f64 i (+.f64 alpha i)) (.f64 beta beta))
(*.f64 (/.f64 i beta) (/.f64 i beta))
(/.f64 (/.f64 (*.f64 alpha i) beta) beta)
(*.f64 #s(literal 1/2 binary64) (/.f64 i (+.f64 alpha (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))))
(/.f64 (*.f64 alpha i) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 i alpha) beta) (/.f64 i beta))
(/.f64 i (*.f64 (/.f64 beta (+.f64 alpha i)) beta))
(/.f64 (*.f64 (/.f64 i beta) (+.f64 i alpha)) beta)
(/.f64 (/.f64 (*.f64 i (+.f64 i alpha)) beta) beta)
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))) (.f64 i alpha))
(.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (.f64 i beta) (fma.f64 beta beta #s(literal -1 binary64)))) i)
(/.f64 (.f64 i i) (fma.f64 #s(literal 4 binary64) (.f64 i beta) (fma.f64 beta beta #s(literal -1 binary64))))
(*.f64 (/.f64 i (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))) i)
(/.f64 (*.f64 i i) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 i (+.f64 i alpha)) beta) (/.f64 #s(literal 1 binary64) beta))
(.f64 (/.f64 (+.f64 i alpha) beta) (.f64 (/.f64 #s(literal 1 binary64) beta) i))
(.f64 (/.f64 i (fma.f64 i (.f64 #s(literal 4 binary64) (+.f64 beta i)) (fma.f64 beta beta #s(literal -1 binary64)))) i)
(/.f64 (.f64 i i) (fma.f64 (.f64 i #s(literal 4 binary64)) (+.f64 i beta) (fma.f64 beta beta #s(literal -1 binary64))))
(.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (/.f64 (+.f64 alpha i) (.f64 beta (.f64 beta beta))))
(/.f64 (.f64 (.f64 alpha beta) i) (*.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 i alpha) (+.f64 alpha (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) beta)))) (/.f64 i beta))
(*.f64 (/.f64 (+.f64 i alpha) (fma.f64 (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) #s(literal -1 binary64))) i)
(.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 i i) beta) i) (*.f64 beta beta)) i)
(*.f64 (/.f64 i (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) beta))) (/.f64 i (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))))
(*.f64 (/.f64 i (+.f64 beta (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)))) (/.f64 i (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) beta))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) (+.f64 alpha (fma.f64 i #s(literal 2 binary64) beta)) #s(literal -1 binary64))) (.f64 i (+.f64 i alpha)))
(/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 i (.f64 i i)) beta) (.f64 i i)) (.f64 beta beta))
(/.f64 (.f64 i (+.f64 alpha i)) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
(/.f64 (.f64 i (+.f64 alpha i)) (-.f64 (fma.f64 i (.f64 #s(literal 4 binary64) (+.f64 i (+.f64 alpha beta))) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal 1 binary64)))
(/.f64 (fma.f64 i i (neg.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 6 binary64)) beta))) (.f64 beta beta))
(.f64 (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 i (*.f64 beta alpha)))) (/.f64 i beta))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))
(*.f64 (+.f64 i alpha) (/.f64 (/.f64 i (+.f64 alpha (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))) (+.f64 alpha (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) beta)))))

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

Calls

1 calls:

11.0ms

beta

Results

Accuracy	Segments	Branch
85.3%	2	`beta`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes38.0ms (0.3%)

Memory

-13.0MiB live, 22.2MiB allocated

Counts

32 → 2

Calls

Call 1

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

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

Calls

1 calls:

36.0ms

beta

Results

Accuracy	Segments	Branch
85.2%	2	`beta`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes10.0ms (0.1%)

Memory

19.9MiB live, 19.9MiB allocated

Counts

29 → 2

Calls

Call 1

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

Outputs
#s(literal 1/16 binary64)
(.f64 (/.f64 (+.f64 i alpha) beta) (.f64 (/.f64 #s(literal 1 binary64) beta) i))

Calls

1 calls:

8.0ms

beta

Results

Accuracy	Segments	Branch
85.1%	2	`beta`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes30.0ms (0.2%)

Memory

-21.4MiB live, 17.8MiB allocated

Counts

24 → 2

Calls

Call 1

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

Outputs
#s(literal 1/16 binary64)
(*.f64 (/.f64 (+.f64 i alpha) beta) (/.f64 i beta))

Calls

1 calls:

29.0ms

beta

Results

Accuracy	Segments	Branch
85.1%	2	`beta`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes12.0ms (0.1%)

Memory

-15.6MiB live, 26.1MiB allocated

Counts

13 → 2

Calls

Call 1

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

Outputs
#s(literal 1/16 binary64)
(*.f64 (/.f64 i beta) (/.f64 i beta))

Calls

2 calls:

4.0ms	beta
4.0ms	i

Results

Accuracy	Segments	Branch
78.6%	2	`i`
84.4%	2	`beta`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes10.0ms (0.1%)

Memory

19.5MiB live, 19.5MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs
(/.f64 (.f64 i (+.f64 alpha i)) (.f64 beta beta))
#s(literal 1/16 binary64)

Calls

3 calls:

3.0ms

beta

3.0ms

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

Results

Accuracy	Segments	Branch
78.6%	2	`i`
77.4%	2	`(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))`
78.4%	2	`beta`

Compiler

Compiled 64 to 23 computations (64.1% saved)

regimes4.0ms (0%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs
(.f64 (/.f64 (+.f64 i alpha) (.f64 beta beta)) i)
#s(literal 1/16 binary64)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
78.6%	2	`i`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Memory

-22.6MiB live, 15.5MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs
#s(literal 1/16 binary64)
(.f64 (/.f64 i (.f64 beta beta)) i)

Calls

2 calls:

4.0ms	beta
3.0ms	i

Results

Accuracy	Segments	Branch
78.4%	2	`beta`
78.2%	2	`i`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory

5.8MiB live, 5.8MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs
#s(literal 1/16 binary64)
(/.f64 i alpha)
(.f64 alpha (/.f64 i (.f64 beta beta)))

Outputs
#s(literal 1/16 binary64)
(.f64 alpha (/.f64 i (.f64 beta beta)))

Calls

1 calls:

2.0ms

beta

Results

Accuracy	Segments	Branch
78.4%	2	`beta`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0%)

Memory

18.2MiB live, 18.2MiB allocated

Accuracy

Total -46.6b remaining (-288%)

Threshold costs -46.6b (-288%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 1/16 binary64)
(/.f64 i alpha)

Outputs
#s(literal 1/16 binary64)

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
74.7%	1	`alpha`
74.7%	1	`(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)))`
74.7%	1	`i`
74.7%	1	`beta`

Compiler

Compiled 68 to 26 computations (61.8% saved)

bsearch11.0ms (0.1%)

Memory

-16.1MiB live, 22.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	7.929791177580827e+132	1.1449420924786916e+133

Samples

7.0ms

64×

valid

Compiler

Compiled 295 to 123 computations (58.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 2.0ms (38.7% of total)

ival-mult: 2.0ms (38.7% of total)

ival-add: 1.0ms (19.3% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch12.0ms (0.1%)

Memory

28.9MiB live, 28.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	3.341903334576832e+158	8.447490408810209e+158

Samples

7.0ms

80×

valid

Compiler

Compiled 229 to 133 computations (41.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 2.0ms (41.7% of total)

ival-div: 1.0ms (20.9% of total)

ival-add: 1.0ms (20.9% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

-34.9MiB live, 2.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	3.341903334576832e+158	8.447490408810209e+158

Compiler

Compiled 219 to 128 computations (41.6% saved)

bsearch1.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	3.341903334576832e+158	8.447490408810209e+158

Compiler

Compiled 189 to 113 computations (40.2% saved)

bsearch5.0ms (0%)

Memory

13.5MiB live, 13.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	7.162183770253767e+183	7.938015357416935e+183

Samples

3.0ms

32×

valid

Compiler

Compiled 109 to 59 computations (45.9% saved)

Precisions

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

ival-add: 1.0ms (50.9% of total)

ival-mult: 1.0ms (50.9% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	7.162183770253767e+183	7.938015357416935e+183

Compiler

Compiled 99 to 53 computations (46.5% saved)

bsearch0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	7.162183770253767e+183	7.938015357416935e+183

Compiler

Compiled 95 to 49 computations (48.4% saved)

bsearch0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	7.162183770253767e+183	7.938015357416935e+183

Compiler

Compiled 91 to 45 computations (50.5% saved)

bsearch19.0ms (0.1%)

Memory

-3.7MiB live, 36.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	2.5780212546014937e+41	5.433865989428403e+42

Samples

13.0ms

112×

valid

Compiler

Compiled 185 to 114 computations (38.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 7.0ms (66.7% of total)

ival-add: 2.0ms (19.1% of total)

ival-div: 1.0ms (9.5% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	2.5780212546014937e+41	5.433865989428403e+42

Compiler

Compiled 185 to 114 computations (38.4% saved)

bsearch22.0ms (0.1%)

Memory

15.2MiB live, 52.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	2.0901136629764417e+239	5.1322425624521765e+244

Samples

12.0ms

144×

valid

Compiler

Compiled 203 to 131 computations (35.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 4.0ms (45.5% of total)

ival-add: 3.0ms (34.1% of total)

ival-div: 2.0ms (22.7% of total)

ival-sub: 1.0ms (11.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.0901136629764417e+239	5.1322425624521765e+244

Compiler

Compiled 203 to 131 computations (35.5% saved)

simplify10.0ms (0.1%)

Memory

-15.3MiB live, 22.4MiB allocated

Algorithm

1×	egg-herbie

Rules

30×	`*-commutative_binary64`
18×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	251
1	101	251

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 i #s(literal 10499999999999999982514470117582362343267473125103319185992446919366419428385382988602394349853107711709356168116046100225645334233088 binary64)) (.f64 (/.f64 (/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 1 binary64))) (/.f64 (/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)))) #s(literal 1/16 binary64))
(if (<=.f64 beta #s(literal 740000000000000021220201620509446866819176975431706871945354745359616413570599442578966604542945666282016383877183856693428897093376991447459528916395930681344 binary64)) #s(literal 1/16 binary64) (.f64 (/.f64 (+.f64 i alpha) (+.f64 alpha (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) beta)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))) i)))
(if (<=.f64 beta #s(literal 740000000000000021220201620509446866819176975431706871945354745359616413570599442578966604542945666282016383877183856693428897093376991447459528916395930681344 binary64)) #s(literal 1/16 binary64) (*.f64 (/.f64 (+.f64 i alpha) (+.f64 alpha (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) beta)))) (/.f64 i (+.f64 alpha (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))))))
(if (<=.f64 beta #s(literal 740000000000000021220201620509446866819176975431706871945354745359616413570599442578966604542945666282016383877183856693428897093376991447459528916395930681344 binary64)) #s(literal 1/16 binary64) (*.f64 (/.f64 i (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) beta))) (/.f64 i (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))))
(if (<=.f64 beta #s(literal 7200000000000000464624630836116448295103174173540820223428188963956978271401460632051548719522965130518467560800453260973838025246644811645770752463240975696903372487678995097811156992 binary64)) #s(literal 1/16 binary64) (*.f64 (/.f64 (+.f64 i alpha) (+.f64 alpha (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) beta)))) (/.f64 i beta)))
(if (<=.f64 beta #s(literal 7200000000000000464624630836116448295103174173540820223428188963956978271401460632051548719522965130518467560800453260973838025246644811645770752463240975696903372487678995097811156992 binary64)) #s(literal 1/16 binary64) (.f64 (/.f64 (+.f64 i alpha) beta) (.f64 (/.f64 #s(literal 1 binary64) beta) i)))
(if (<=.f64 beta #s(literal 7200000000000000464624630836116448295103174173540820223428188963956978271401460632051548719522965130518467560800453260973838025246644811645770752463240975696903372487678995097811156992 binary64)) #s(literal 1/16 binary64) (*.f64 (/.f64 (+.f64 i alpha) beta) (/.f64 i beta)))
(if (<=.f64 beta #s(literal 7200000000000000464624630836116448295103174173540820223428188963956978271401460632051548719522965130518467560800453260973838025246644811645770752463240975696903372487678995097811156992 binary64)) #s(literal 1/16 binary64) (*.f64 (/.f64 i beta) (/.f64 i beta)))
(if (<=.f64 i #s(literal 1250000000000000017421514619926762391339008 binary64)) (/.f64 (.f64 i (+.f64 alpha i)) (.f64 beta beta)) #s(literal 1/16 binary64))
(if (<=.f64 i #s(literal 1250000000000000017421514619926762391339008 binary64)) (.f64 (/.f64 (+.f64 i alpha) (.f64 beta beta)) i) #s(literal 1/16 binary64))
(if (<=.f64 beta #s(literal 5299999999999999713389123663523006338912438324885769415640344329900796480853508304181469535274278812920438111220404438029349713010565351323710475347691884235433873370788774513257843069331725150789476224929733303198673687011459591879469473726464 binary64)) #s(literal 1/16 binary64) (.f64 (/.f64 i (.f64 beta beta)) i))
(if (<=.f64 beta #s(literal 5299999999999999713389123663523006338912438324885769415640344329900796480853508304181469535274278812920438111220404438029349713010565351323710475347691884235433873370788774513257843069331725150789476224929733303198673687011459591879469473726464 binary64)) #s(literal 1/16 binary64) (.f64 alpha (/.f64 i (.f64 beta beta))))
#s(literal 1/16 binary64)

Outputs
(if (<=.f64 i #s(literal 10499999999999999982514470117582362343267473125103319185992446919366419428385382988602394349853107711709356168116046100225645334233088 binary64)) (.f64 (/.f64 (/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 1 binary64))) (/.f64 (/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)))) #s(literal 1/16 binary64))
(if (<=.f64 beta #s(literal 740000000000000021220201620509446866819176975431706871945354745359616413570599442578966604542945666282016383877183856693428897093376991447459528916395930681344 binary64)) #s(literal 1/16 binary64) (.f64 (/.f64 (+.f64 i alpha) (+.f64 alpha (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) beta)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))) i)))
(if (<=.f64 beta #s(literal 740000000000000021220201620509446866819176975431706871945354745359616413570599442578966604542945666282016383877183856693428897093376991447459528916395930681344 binary64)) #s(literal 1/16 binary64) (.f64 (/.f64 (+.f64 i alpha) (+.f64 alpha (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) beta)))) (.f64 i (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 #s(literal -1 binary64) (fma.f64 i #s(literal 2 binary64) beta)))))))
(if (<=.f64 beta #s(literal 740000000000000021220201620509446866819176975431706871945354745359616413570599442578966604542945666282016383877183856693428897093376991447459528916395930681344 binary64)) #s(literal 1/16 binary64) (*.f64 (/.f64 (+.f64 i alpha) (+.f64 alpha (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) beta)))) (/.f64 i (+.f64 alpha (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))))))
(if (<=.f64 beta #s(literal 740000000000000021220201620509446866819176975431706871945354745359616413570599442578966604542945666282016383877183856693428897093376991447459528916395930681344 binary64)) #s(literal 1/16 binary64) (*.f64 (/.f64 (+.f64 i alpha) (+.f64 alpha (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) beta)))) (/.f64 i (+.f64 alpha (+.f64 #s(literal -1 binary64) (fma.f64 i #s(literal 2 binary64) beta))))))
(if (<=.f64 beta #s(literal 740000000000000021220201620509446866819176975431706871945354745359616413570599442578966604542945666282016383877183856693428897093376991447459528916395930681344 binary64)) #s(literal 1/16 binary64) (*.f64 (/.f64 i (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) beta))) (/.f64 i (+.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))))
(if (<=.f64 beta #s(literal 740000000000000021220201620509446866819176975431706871945354745359616413570599442578966604542945666282016383877183856693428897093376991447459528916395930681344 binary64)) #s(literal 1/16 binary64) (*.f64 (/.f64 i (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) beta))) (/.f64 i (+.f64 #s(literal -1 binary64) (fma.f64 i #s(literal 2 binary64) beta)))))
(if (<=.f64 beta #s(literal 7200000000000000464624630836116448295103174173540820223428188963956978271401460632051548719522965130518467560800453260973838025246644811645770752463240975696903372487678995097811156992 binary64)) #s(literal 1/16 binary64) (*.f64 (/.f64 (+.f64 i alpha) (+.f64 alpha (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) beta)))) (/.f64 i beta)))
(if (<=.f64 beta #s(literal 7200000000000000464624630836116448295103174173540820223428188963956978271401460632051548719522965130518467560800453260973838025246644811645770752463240975696903372487678995097811156992 binary64)) #s(literal 1/16 binary64) (.f64 (/.f64 (+.f64 i alpha) beta) (.f64 (/.f64 #s(literal 1 binary64) beta) i)))
(if (<=.f64 beta #s(literal 7200000000000000464624630836116448295103174173540820223428188963956978271401460632051548719522965130518467560800453260973838025246644811645770752463240975696903372487678995097811156992 binary64)) #s(literal 1/16 binary64) (.f64 (/.f64 (+.f64 i alpha) beta) (.f64 i (/.f64 #s(literal 1 binary64) beta))))
(if (<=.f64 beta #s(literal 7200000000000000464624630836116448295103174173540820223428188963956978271401460632051548719522965130518467560800453260973838025246644811645770752463240975696903372487678995097811156992 binary64)) #s(literal 1/16 binary64) (*.f64 (/.f64 (+.f64 i alpha) beta) (/.f64 i beta)))
(if (<=.f64 beta #s(literal 7200000000000000464624630836116448295103174173540820223428188963956978271401460632051548719522965130518467560800453260973838025246644811645770752463240975696903372487678995097811156992 binary64)) #s(literal 1/16 binary64) (*.f64 (/.f64 i beta) (/.f64 (+.f64 i alpha) beta)))
(if (<=.f64 beta #s(literal 7200000000000000464624630836116448295103174173540820223428188963956978271401460632051548719522965130518467560800453260973838025246644811645770752463240975696903372487678995097811156992 binary64)) #s(literal 1/16 binary64) (*.f64 (/.f64 i beta) (/.f64 i beta)))
(if (<=.f64 i #s(literal 1250000000000000017421514619926762391339008 binary64)) (/.f64 (.f64 i (+.f64 alpha i)) (.f64 beta beta)) #s(literal 1/16 binary64))
(if (<=.f64 i #s(literal 1250000000000000017421514619926762391339008 binary64)) (/.f64 (.f64 i (+.f64 i alpha)) (.f64 beta beta)) #s(literal 1/16 binary64))
(if (<=.f64 i #s(literal 1250000000000000017421514619926762391339008 binary64)) (.f64 (/.f64 (+.f64 i alpha) (.f64 beta beta)) i) #s(literal 1/16 binary64))
(if (<=.f64 i #s(literal 1250000000000000017421514619926762391339008 binary64)) (.f64 i (/.f64 (+.f64 i alpha) (.f64 beta beta))) #s(literal 1/16 binary64))
(if (<=.f64 beta #s(literal 5299999999999999713389123663523006338912438324885769415640344329900796480853508304181469535274278812920438111220404438029349713010565351323710475347691884235433873370788774513257843069331725150789476224929733303198673687011459591879469473726464 binary64)) #s(literal 1/16 binary64) (.f64 (/.f64 i (.f64 beta beta)) i))
(if (<=.f64 beta #s(literal 5299999999999999713389123663523006338912438324885769415640344329900796480853508304181469535274278812920438111220404438029349713010565351323710475347691884235433873370788774513257843069331725150789476224929733303198673687011459591879469473726464 binary64)) #s(literal 1/16 binary64) (.f64 i (/.f64 i (.f64 beta beta))))
(if (<=.f64 beta #s(literal 5299999999999999713389123663523006338912438324885769415640344329900796480853508304181469535274278812920438111220404438029349713010565351323710475347691884235433873370788774513257843069331725150789476224929733303198673687011459591879469473726464 binary64)) #s(literal 1/16 binary64) (.f64 alpha (/.f64 i (.f64 beta beta))))
#s(literal 1/16 binary64)

soundness1.5s (10.3%)

Memory

13.0MiB live, 1 580.1MiB allocated

Rules

7 902×	`lower-fma.f64`
7 902×	`lower-fma.f32`
7 822×	`lower-*.f64`
7 822×	`lower-*.f32`
7 104×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	987	11252
1	3468	10997
0	9243	10092
0	1635	12612
1	5434	12189
0	8234	11253
0	1964	21431
1	6796	21419
0	8216	19491
0	35	254
0	65	196
1	341	190
2	3118	189
0	8667	189
0	1337	10831
1	4431	10683
0	9417	9895
0	17	122
0	29	98
1	146	98
2	1503	98
0	8201	91
0	31	174
0	58	160
1	251	156
2	2170	156
0	8529	156
0	32	163
0	60	151
1	307	151
2	2972	151
0	9145	151

Stop Event

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

Compiler

Compiled 736 to 365 computations (50.4% saved)

preprocess132.0ms (0.9%)

Memory: -19.9MiB live, 134.2MiB allocated
Remove: (sort alpha beta)
Compiler: Compiled 736 to 226 computations (69.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze17.0ms (0.1%)

sample2.4s (16.3%)

preprocess556.0ms (3.8%)

explain271.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify343.0ms (2.3%)

localize49.0ms (0.3%)

series53.0ms (0.4%)

rewrite517.0ms (3.5%)

simplify529.0ms (3.6%)

eval164.0ms (1.1%)

prune197.0ms (1.3%)

simplify698.0ms (4.7%)

localize111.0ms (0.8%)

series82.0ms (0.6%)

rewrite913.0ms (6.2%)

simplify592.0ms (4%)

eval790.0ms (5.4%)

prune280.0ms (1.9%)

simplify498.0ms (3.4%)

localize124.0ms (0.8%)

series76.0ms (0.5%)

rewrite331.0ms (2.2%)

simplify464.0ms (3.2%)

eval175.0ms (1.2%)

prune469.0ms (3.2%)

simplify520.0ms (3.5%)

localize108.0ms (0.7%)

series35.0ms (0.2%)

rewrite384.0ms (2.6%)

simplify509.0ms (3.5%)

eval219.0ms (1.5%)

prune245.0ms (1.7%)

regimes96.0ms (0.7%)

regimes38.0ms (0.3%)

regimes15.0ms (0.1%)

regimes13.0ms (0.1%)

regimes38.0ms (0.3%)

regimes10.0ms (0.1%)

regimes30.0ms (0.2%)

regimes12.0ms (0.1%)

regimes10.0ms (0.1%)

regimes4.0ms (0%)

regimes8.0ms (0.1%)

regimes2.0ms (0%)

regimes6.0ms (0%)

bsearch11.0ms (0.1%)

bsearch12.0ms (0.1%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch5.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch19.0ms (0.1%)

bsearch1.0ms (0%)

bsearch22.0ms (0.1%)

bsearch1.0ms (0%)

simplify10.0ms (0.1%)

soundness1.5s (10.3%)

preprocess132.0ms (0.9%)

end0.0ms (0%)

Profiling