On Feb 2, 1:29 pm, Julien Puydt <julien.pu...@laposte.net> wrote:
>
>
> +1 A user asking for a floating-point computation means (s)he is ready
> to accept the results are mathematically wrong, but computationally
> within a reasonable error range.
>

There are lots of reasonable expectations.  Like the answer will be
the same
if the computation is repeated [except for randomized algorithms,
perhaps].
I think that a good system will be a lot better than you specified.
For
example, if a well-known algorithm gets the answer correct exactly,
that
the routine in Sage should do as well.  As I said previously, I think
you
would be unhappy if cos(0.0) came out as 1.000000000000000999

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