Metrics for Graphics.Rendering.Chart.Plot.Pie:renderPie from Chart-1.5.3

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample994.0ms (62.8%)

Memory

35.6MiB live, 973.6MiB allocated; 331ms collecting garbage

Samples

286.0ms	4 150×	0	valid
229.0ms	2 881×	1	valid
174.0ms	1 225×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 465.0ms

ival-add: 267.0ms (57.4% of total)

adjust: 130.0ms (27.9% of total)

ival-sub: 66.0ms (14.2% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain66.0ms (4.2%)

Memory

3.8MiB live, 147.5MiB allocated; 12ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
130	-	1	(-3.020986541130121e-175 -6.083140399668252e-177)	`(-.f64 (+.f64 x y) x)`
0	-	0	-	`y`
0	-	0	-	`(+.f64 x y)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (+.f64 x y) x)`	cancellation	129	1

Confusion

	Predicted +	Predicted -
+	129	1
-	0	126

Precision

1.0

Recall

0.9923076923076923

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	129	1	0
-	0	0	126

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	127
1	129

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

18.0ms	190×	1	valid
8.0ms	256×	0	valid
8.0ms	66×	2	valid

Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

adjust: 11.0ms (55.4% of total)

ival-add: 4.0ms (20.1% of total)

ival-sub: 4.0ms (20.1% of total)

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

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

preprocess187.0ms (11.8%)

Memory

29.2MiB live, 154.2MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	32
1	25	32
2	41	20
3	60	8
4	100	8
5	982	8
6	2009	8
7	3896	8
0	4	5
0	6	5
1	9	5
2	12	3
3	15	1
4	17	1
5	67	1
6	210	1
7	793	1
8	1433	1
9	4272	1
0	9065	1

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (+.f64 x y) x)

Outputs
(-.f64 (+.f64 x y) x)
y

Symmetry

(abs x)

(negabs y)

Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.8%	(-.f64 (+.f64 x y) x)

Compiler

Compiled 5 to 4 computations (20% saved)

series2.0ms (0.1%)

Memory

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

Counts

4 → 10

Calls

Call 1

Inputs
(-.f64 (+.f64 x y) x)
(+.f64 x y)
x
y

Outputs
#s(approx (- (+ x y) x) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx y #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	((- (+ x y) x) (+ x y) x y)
1.0ms	x	@	-inf	((- (+ x y) x) (+ x y) x y)
0.0ms	x	@	inf	((- (+ x y) x) (+ x y) x y)
0.0ms	y	@	inf	((- (+ x y) x) (+ x y) x y)
0.0ms	x	@	0	((- (+ x y) x) (+ x y) x y)

rewrite78.0ms (5%)

Memory

-14.5MiB live, 46.8MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	92
0	33	88
1	140	88
0	1099	86

Stop Event

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

Counts

14 → 34

Calls

Call 1

Inputs
(-.f64 (+.f64 x y) x)
(+.f64 x y)
x
y
#s(approx (- (+ x y) x) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx y #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))

Outputs
(/.f64 (-.f64 (.f64 x x) (.f64 (-.f64 y x) (-.f64 y x))) (-.f64 x (-.f64 y x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 y x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (-.f64 y x) (-.f64 y x)) (.f64 x (-.f64 y x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (+.f64 (+.f64 y x) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (+.f64 (+.f64 y x) x) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 (+.f64 y x) x))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 (+.f64 y x) x) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 (+.f64 y x) x)) (/.f64 (*.f64 x x) (+.f64 (+.f64 y x) x)))
(-.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 x (+.f64 (+.f64 y x) x) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 (+.f64 y x) x) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(-.f64 (+.f64 y x) x)
(+.f64 (-.f64 y x) x)
(+.f64 y (-.f64 x x))
(+.f64 x (-.f64 y x))
(/.f64 (-.f64 (.f64 y y) (.f64 x x)) (-.f64 y x))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (-.f64 (.f64 x x) (.f64 y x))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 y y) (-.f64 x y)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (.f64 x x))))
(+.f64 y x)
(+.f64 x y)
x
y
#s(approx (- (+ x y) x) y)
#s(approx (+ x y) y)
#s(approx (+ x y) (+.f64 y x))
#s(approx x x)
#s(approx (+ x y) x)
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x))
#s(approx (+ x y) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))))
#s(approx y y)
#s(approx (+ x y) (fma.f64 (/.f64 x y) y y))
#s(approx (+ x y) (*.f64 (neg.f64 y) (fma.f64 (/.f64 x y) #s(literal -1 binary64) #s(literal -1 binary64))))

eval3.0ms (0.2%)

Memory: 6.1MiB live, 6.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 470 to 114 computations (75.7% saved)

prune1.0ms (0.1%)

Memory

3.1MiB live, 3.1MiB allocated; 0ms collecting garbage

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	36	1	37

Accuracy

100.0%

Counts

37 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (- (+ x y) x) y)

Compiler

Compiled 7 to 5 computations (28.6% saved)

series1.0ms (0%)

Memory

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

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (- (+ x y) x) y)
y

Outputs
#s(approx (- (+ x y) x) #s(hole binary64 y))
#s(approx y #s(hole binary64 y))

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	-inf	((- (+ x y) x) y)
0.0ms	y	@	inf	((- (+ x y) x) y)
0.0ms	x	@	-inf	((- (+ x y) x) y)
0.0ms	y	@	0	((- (+ x y) x) y)
0.0ms	x	@	0	((- (+ x y) x) y)

rewrite162.0ms (10.2%)

Memory

-7.1MiB live, 180.1MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	6	18
1	32	18
2	275	14
3	4361	14
0	8519	14

Stop Event

1×	iter limit
1×	node limit
1×	saturated

Counts

4 → 4

Calls

Call 1

Inputs
#s(approx (- (+ x y) x) y)
y
#s(approx (- (+ x y) x) #s(hole binary64 y))
#s(approx y #s(hole binary64 y))

Outputs
#s(approx (- (+ x y) x) y)
y
#s(approx (- (+ x y) x) y)
#s(approx y y)

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 23 to 7 computations (69.6% saved)

prune1.0ms (0.1%)

Memory

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

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	3	0	3
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	3	1	4

Accuracy

100.0%

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (- (+ x y) x) y)

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes4.0ms (0.2%)

Memory

9.1MiB live, 9.1MiB allocated; 0ms collecting garbage

Accuracy

Total -30.2b remaining (-∞%)

Threshold costs -30.2b (-∞%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (- (+ x y) x) y)
(-.f64 (+.f64 x y) x)

Outputs
#s(approx (- (+ x y) x) y)

Calls

3 calls:

1.0ms	y
1.0ms	x
1.0ms	(-.f64 (+.f64 x y) x)

Results

Accuracy	Segments	Branch
100.0%	1	`(-.f64 (+.f64 x y) x)`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

simplify61.0ms (3.9%)

Memory

-19.5MiB live, 73.2MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	8	7
2	11	5
3	14	3
4	17	3
5	72	3
6	213	3
7	834	3
8	1599	3
9	2505	3
10	5340	3

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (- (+ x y) x) y)

Outputs
#s(approx (- (+ x y) x) y)

derivations3.0ms (0.2%)

Memory

4.2MiB live, 4.2MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 7 to 5 computations (28.6% saved)

preprocess19.0ms (1.2%)

Memory

-13.6MiB live, 32.5MiB allocated; 4ms collecting garbage

Remove

(negabs y)

(abs x)

Compiler

Compiled 58 to 46 computations (20.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample994.0ms (62.8%)

explain66.0ms (4.2%)

preprocess187.0ms (11.8%)

eval0.0ms (0%)

prune0.0ms (0%)

series2.0ms (0.1%)

rewrite78.0ms (5%)

eval3.0ms (0.2%)

prune1.0ms (0.1%)

series1.0ms (0%)

rewrite162.0ms (10.2%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes4.0ms (0.2%)

simplify61.0ms (3.9%)

derivations3.0ms (0.2%)

preprocess19.0ms (1.2%)

end0.0ms (0%)

Profiling