In my first post I stated: "I make the assumption here that he wants the verb to calculate all the values up to a specific integer in the formula". All of my subsequent comments make the assumption that we are comparing functions that calculate multiple values in a single call, creating a n by 2 array. I make no claims about verbs that produce a single value result. On Dec 23, 2012 1:22 PM, "Bo Jacoby" <bojac...@yahoo.dk> wrote:
> Skips special data does not justify his general conclusion: "The brute > force solution is the fastest by several orders of magnitude. The closed > form solution is slow AND uses lots of space". Other data give other > conclusions. > > > closed > [: (,. (3r4 * <:)) 5&^ > > (10) 6!:2'closed 5' > 1.82306e_5 > (10) 6!:2'((0 3+*&5)^:5)1 0x' > 8.04365e_5 > > (10) 6!:2'closed 50' > 3.68924e_5 > (10) 6!:2'((0 3+*&5)^:50)1 0x' > 0.000332709 > > (10) 6!:2'closed 500' > 2.99943e_5 > (10) 6!:2'((0 3+*&5)^:500)1 0x' > 0.00487965 > > > It cannot be concluded that 'closed' is generally slower than the brute > force computation. In the above cases 'closed' is faster. > > > - Bo > > > >________________________________ > > Fra: Boyko Bantchev <boyk...@gmail.com> > >Til: programm...@jsoftware.com > >Sendt: 18:21 søndag den 23. december 2012 > >Emne: Re: [Jprogramming] arithmetic sequence > > > >On 23 December 2012 18:06, Bo Jacoby <bojac...@yahoo.dk> wrote: > >> Skip's conclusion did not follow from his data in the first place. > > > >His conclusion is based on his data for producing a 5000-items long > >sequence. Not only is it valid but in fact it holds for *all* lengths > >where extended numbers are needed, i.e. practically always. > >---------------------------------------------------------------------- > >For information about J forums see http://www.jsoftware.com/forums.htm > > > > > > > ---------------------------------------------------------------------- > For information about J forums see http://www.jsoftware.com/forums.htm > ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm