       Re: Estimating memory usage of expressions

• To: mathgroup at smc.vnet.net
• Subject: [mg108987] Re: Estimating memory usage of expressions
• From: Nicola Mingotti <nico020978 at gmail.com>
• Date: Fri, 9 Apr 2010 03:32:34 -0400 (EDT)
• References: <hpkgl2\$81m\$1@smc.vnet.net>

```The object "1" and the object "list containing only the element 1" are different
in nature so it's expectable they heve different Mathematica representation
and different Memory usage.

I don't know the C representation for a Mathematica List or a Mathematica
Integer, i don't even know if they are public domain.

Anyway, if you do

ByteCount[{1}]      => 56
ByteCount[{1,2}]    => 80
ByteCount[{1,2,3}]   => 104
ByteCount[{1,2,3,4}]   => 128

you see the difference is always 24 bytes.

It tried to do a little experiment, the list data structure changes
when you add some elements :

r = Table[RandomInteger[], {i, 100}];
(ByteCount[r] - 32) / 24    => 100

r = Table[RandomInteger[], {i, 200}];
(ByteCount[r] - 32) / 24    => 200

r = Table[RandomInteger[], {i, 250}];
(ByteCount[r] - 32) /24     => 91/2       !!!!

In the last result i would expect naively a result 250,
91/2 tells me that things underwood are more sophisticated.

Hope somebody can tell you more ;-)

bye

n.

On 2010-04-08 14:02:42 +0200, Jim Lambaugh said:

> Hi
>
> Is there a way to estimate how many bytes the different expressions in
> Mathematica take from the memory? For example I wish to know how many
> bytes a NxN matrix with real entries is, the list of its eigenvectors,
> eigenvalues etc.
>
> I know of the command "ByteCount", but the results I get are not
> consistent, i.e. a list of 1 integers does not take up the same amount
> of memory as one single integer etc. So: Is there a way to estimate
> these things? I'm running on a 32-bit system (if that makes a
> difference).

```

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