I strongly suspect that the variations in timings 
are due to  _ (infinity).  _ occurs with higher 
probability in %?.>:200 200$200 than in 
%?.>:200 200$200000.  

The timing variations are also hardware dependent.
In Google, enter "Pentium 4 infinity multiply speed"
and select the first search result (from Cyngus).



----- Original Message -----
From: Fraser Jackson <[EMAIL PROTECTED]>
Date: Saturday, September 2, 2006 3:42 am
Subject: [Jprogramming] Timing of some matrix products

> The following give times of some matrix products using two forms.
> 
> The first example uses integers.
> 
> The remainder give reproducible results with a range of floating 
> point 
> numbers.  All matrices are of the same shape.  What is the reason 
> for the 30 
> to 1 ratio of times depending on the values of the floating point 
> numbers 
> for the matrix form, and 7 to 1 ratio for the table form?
> 
> Was I wrong to be surprised by these differences?
> 
>   loadd 'd:\j\j601w\temp\1.ijs'
>   ts =: 6!:2 , 7!:2
> 
> 
>   a =:  ?. >:200 200 $200
>   f =: (+/ @: *    )"1 1
>   ts 'a +/ . * |: a'
> 0.0302508 1.05024e6
>   ts 'f /~a'
> 0.0853203 531008
> 
>   a =:% ?. >:200 200 $200
>   ts 'a +/ . * |: a'
> 0.625971 1.05024e6
>   ts 'f /~a'
> 0.721225 1.06029e6
> 
>   a =:% ?. >:200 200 $2000
>   ts 'a +/ . * |: a'
> 0.0839973 1.05024e6
>   ts 'f /~a'
> 0.165096 1.06029e6
> 
>   a =:% ?. >:200 200 $20000
>   ts 'a +/ . * |: a'
> 0.0277373 1.05024e6
>   ts 'f /~a'
> 0.106258 1.06029e6
> 
>   a =:% ?. >:200 200 $200000
>   ts 'a +/ . * |: a'
> 0.0211127 1.05024e6
>   ts 'f /~a'
> 0.0991123 1.06029e6
> 
> 
>   9!:14''
> j601/beta/2006-08-23/07:45 


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