Metrics for _multiplyComplex, imaginary part

start0.0ms (0.0%)

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

analyze0.0ms (0.0%)

Memory

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

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0.0%	0.0%	99.8%	0.2%	0.0%	0.0%	0.0%	0
100.0%	99.8%	0.0%	0.2%	0.0%	0.0%	0.0%	1

Compiler

Compiled 9 to 9 computations (0.0% saved)

sample698.0ms (52.4%)

Memory

-10.6MiB live, 1 059.1MiB allocated; 278ms collecting garbage

Samples

451.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 190.0ms

ival-mult!: 171.0ms (90.1% of total)

ival-add!: 18.0ms (9.5% of total)

adjust: 2.0ms (1.1% of total)

Bogosity

preprocess31.0ms (2.3%)

Memory

-13.3MiB live, 35.5MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	109
1	98	105
2	217	105
3	329	105
4	329	105

Stop Event

1×

saturated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.0%	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))

Symmetry

(sort x.re y.im)

(sort x.im y.re)

Compiler

Compiled 14 to 14 computations (0.0% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs

Outputs

series14.0ms (1.1%)

Memory

36.0MiB live, 36.0MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	190

Stop Event

1×	iter-limit

Counts

7 → 15

Calls

Call 1

Inputs
(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))
(*.f64 x.re y.im)
x.re
y.im
(*.f64 x.im y.re)
x.im
y.re

Outputs
#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 x.im y.re))
#s(approx (+ (* x.re y.im) (* x.im y.re)) (fma.f64 x.im y.re (*.f64 x.re y.im)))
#s(approx (* x.re y.im) (*.f64 x.re y.im))
#s(approx x.re x.re)
#s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 x.re (+.f64 y.im (/.f64 (.f64 x.im y.re) x.re))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 #s(literal -1 binary64) (.f64 x.re (fma.f64 #s(literal -1 binary64) y.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) x.re))))))
#s(approx x.im x.im)
#s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 x.im (+.f64 y.re (/.f64 (.f64 x.re y.im) x.im))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 #s(literal -1 binary64) (.f64 x.im (fma.f64 #s(literal -1 binary64) y.re (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) x.im))))))
#s(approx y.re y.re)
#s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 y.re (+.f64 x.im (/.f64 (.f64 x.re y.im) y.re))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 #s(literal -1 binary64) (.f64 y.re (fma.f64 #s(literal -1 binary64) x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re))))))
#s(approx y.im y.im)
#s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 y.im (+.f64 x.re (/.f64 (.f64 x.im y.re) y.im))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 #s(literal -1 binary64) (.f64 y.im (fma.f64 #s(literal -1 binary64) x.re (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) y.im))))))

Calls

12 calls:

Time	Variable	Point
1.0ms	y.re	-inf
1.0ms	x.re	-inf
1.0ms	x.re	inf
1.0ms	y.im	-inf
1.0ms	x.im	-inf

rewrite250.0ms (18.7%)

Memory

-8.8MiB live, 218.7MiB allocated; 47ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
0	10	17
1	35	17
2	102	17
3	237	17
4	404	17
5	731	17
6	3409	17
0	4547	16

Stop Event

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

Counts

7 → 39

Calls

Call 1

Inputs
(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))
(*.f64 x.re y.im)
x.re
y.im
(*.f64 x.im y.re)
x.im
y.re

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

eval4.0ms (0.3%)

Memory: 13.2MiB live, 13.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 684 to 153 computations (77.6% saved)

prune2.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	2	49

Accuracy

100.0%

Counts

49 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(fma.f64 y.re x.im (*.f64 y.im x.re))
▶	51.2%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 x.im y.re))

Compiler

Compiled 17 to 15 computations (11.8% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs

Outputs

series11.0ms (0.8%)

Memory

-22.6MiB live, 22.8MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	190

Stop Event

1×	iter-limit

Counts

8 → 15

Calls

Call 1

Inputs
#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 x.im y.re))
(*.f64 x.im y.re)
x.im
y.re
(fma.f64 y.re x.im (*.f64 y.im x.re))
(*.f64 y.im x.re)
y.im
x.re

Outputs
#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 x.im y.re))
#s(approx (+ (* x.re y.im) (* x.im y.re)) (fma.f64 x.im y.re (*.f64 x.re y.im)))
#s(approx (* y.im x.re) (*.f64 x.re y.im))
#s(approx x.re x.re)
#s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 x.re (+.f64 y.im (/.f64 (.f64 x.im y.re) x.re))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 #s(literal -1 binary64) (.f64 x.re (fma.f64 #s(literal -1 binary64) y.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) x.re))))))
#s(approx x.im x.im)
#s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 x.im (+.f64 y.re (/.f64 (.f64 x.re y.im) x.im))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 #s(literal -1 binary64) (.f64 x.im (fma.f64 #s(literal -1 binary64) y.re (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) x.im))))))
#s(approx y.re y.re)
#s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 y.re (+.f64 x.im (/.f64 (.f64 x.re y.im) y.re))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 #s(literal -1 binary64) (.f64 y.re (fma.f64 #s(literal -1 binary64) x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re))))))
#s(approx y.im y.im)
#s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 y.im (+.f64 x.re (/.f64 (.f64 x.im y.re) y.im))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 #s(literal -1 binary64) (.f64 y.im (fma.f64 #s(literal -1 binary64) x.re (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) y.im))))))

Calls

12 calls:

Time	Variable	Point
3.0ms	y.im	0
1.0ms	x.im	-inf
1.0ms	y.im	-inf
1.0ms	y.re	-inf
1.0ms	x.re	-inf

rewrite237.0ms (17.8%)

Memory

-7.2MiB live, 185.9MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
0	15	26
1	75	26
2	168	26
3	296	26
4	401	26
5	717	26
6	3395	26
0	4533	26

Stop Event

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

Counts

8 → 40

Calls

Call 1

Inputs
#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 x.im y.re))
(*.f64 x.im y.re)
x.im
y.re
(fma.f64 y.re x.im (*.f64 y.im x.re))
(*.f64 y.im x.re)
y.im
x.re

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

eval5.0ms (0.4%)

Memory: 10.2MiB live, 10.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 711 to 155 computations (78.2% saved)

prune2.0ms (0.2%)

Memory

5.4MiB live, 5.4MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	49	2	51

Accuracy

100.0%

Counts

51 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.4%	(fma.f64 y.re x.im (*.f64 y.im x.re))
✓	51.2%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 x.im y.re))

Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes27.0ms (2.0%)

Memory

14.4MiB live, 61.0MiB allocated; 3ms collecting garbage

Counts

1 → 1

3 → 1

Calls

Call 1

Inputs
#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 x.im y.re))

Outputs
#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 x.im y.re))

Call 2

Inputs
#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 x.im y.re))
(fma.f64 y.re x.im (*.f64 y.im x.re))
(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))

Outputs
(fma.f64 y.re x.im (*.f64 y.im x.re))

Calls

14 calls:

4.0ms	(*.f64 x.re y.im)
2.0ms	y.re
2.0ms	x.re
2.0ms	x.im
2.0ms	y.im

Results

Accuracy	Segments	Branch
51.2%	1	`(*.f64 x.im y.re)`
51.2%	1	`(*.f64 x.re y.im)`
51.2%	1	`(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))`
51.2%	1	`x.re`
51.2%	1	`x.im`
51.2%	1	`y.re`
51.2%	1	`y.im`
98.4%	1	`(*.f64 x.im y.re)`
98.4%	1	`(*.f64 x.re y.im)`
98.4%	1	`(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))`
98.4%	1	`x.re`
98.4%	1	`x.im`
98.4%	1	`y.re`
98.4%	1	`y.im`

Compiler

Compiled 58 to 79 computations (-36.2% saved)

derivations34.0ms (2.5%)

Memory

-47.3MiB live, 16.9MiB allocated; 32ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 17 to 11 computations (35.3% saved)

preprocess16.0ms (1.2%)

Memory: 42.2MiB live, 42.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 92 to 78 computations (15.2% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze0.0ms (0.0%)

sample698.0ms (52.4%)

preprocess31.0ms (2.3%)

sample0.0ms (0.0%)

series14.0ms (1.1%)

rewrite250.0ms (18.7%)

eval4.0ms (0.3%)

prune2.0ms (0.1%)

sample0.0ms (0.0%)

series11.0ms (0.8%)

rewrite237.0ms (17.8%)

eval5.0ms (0.4%)

prune2.0ms (0.2%)

regimes27.0ms (2.0%)

derivations34.0ms (2.5%)

preprocess16.0ms (1.2%)

end0.0ms (0.0%)

Profiling