> Sorry to focus on one little question and ignore the big picture, but
> it's 6:15am :-)

Yes - my first question was at 1:30 AM, so I hear you!

> This will be better in the new symbolics:
>
> sage: x,y = var('x,y',ns=1)
> sage: f = x^2 + y^2 -1
> sage: list= [[i,j] for i in [-3..3] for j in [-3..3]]
> sage: %time [(a,b) for a,b in list if f.subs(x=a).subs(y=b)==0]
> CPU times: user 0.02 s, sys: 0.00 s, total: 0.02 s
> Wall time: 0.02 s
> [(-1, 0), (0, -1), (0, 1), (1, 0)]

That's what I figured.  Are the pynac symbolics on track to be
directly callable (i.e. f(a,b)==0, not the .subs() stuff) relatively
soon?  My ulterior motive for asking that is of course for basic
plotting, which will hopefully be inconceivably faster with pynac...

All these answers are extremely helpful, thanks.

 - kcrisman
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