divRem by `-' performance

[Serge D. Mechveliani]

On Wed, Oct 17, 2012 at 07:00:38PM +0300, Roman Cheplyaka wrote:
> * Serge D. Mechveliani <mechvel at botik.ru> [2012-10-17 19:37:38+0400]
> > But it is generally difficult for me to admit that sometimes it is 
> > desirable to use strinctess annotation.
> > I programmed DoCon for 6 years, and it does not have any bit of 
> > strictness annotation, and I always had an impression that it is all
> > right with performance.
> 
> Yeah, I was also surprised that this is news to you :)
> 
> > And now it occurs that setting  $!  in some places may make many parts
> > of it somewhat 100 times less expensive 
> > -- ?
> > Somehow difficult to admit.
> 
> Laziness is subtle. Sometimes you make an innocent change to a program,
> but it changes the time when things are evaluated, and that affects
> memory/performance significantly.
> 

I was always aware of all these effects.
I deliberately avoided any strictness annotation.
And the whole result has a reasonable performance. 

But then, I forget it, each time, and start to think "everything is all 
right".
This lasts till the next unlucky example, as the above  qRem.
And each time I recall of unneeded laziness.

And concerning this example: I am not even sure now that it worths to
setting  $!  there.
Because I deliberately program  qRem  as returning a pair  (quot, rem),
and do not program a separate function for  rem.  And to obtain  rem,
one applies   snd (qRem n m),  and due to laziness,  quot  does not 
spend the cost. I do not know, may be, using $! may damage this style. 

Another objection against strictess annotation is that they make 
difficult to transform the code at an early stage of compilation.

Regards,
Sergei