Thanks for the answers.

Maybe integration will be a good candidate. When I talk about formal
output, I think of special case where the formula given is correct but
certainl not the one a human will see first.

One day, a student had shown me an integral which was evaluate by its
formal calculator to a formula containing arctan whereas my solution do not
use it, and was more simple. The problem is that I have not noted this
example...

Maybe solving some polynomial of degree 3 can give such "complicated"
formulas that a human would not use.

Christophe BAL

2014-10-30 23:53 GMT+01:00 Richard Fateman <[email protected]>:

> There are even simpler examples.  For instance, some systems multiply
> polynomials by some evaluation/interpolation scheme in finite fields. Or
> by FFT
> or by so-called Karatsuba   or Cooke-Toom methods or a Kronecker method
> evaluating a polynomial to a single huge integer...
>
> Risch integration is certainly another one.
>
>
> On Wednesday, October 29, 2014 3:40:58 AM UTC-7, Christophe Bal wrote:
>>
>> Hello.
>>
>> I'm looking for formal outputs that are not calculated as a human can do
>> (this is for a free french "book"). Do you know such kind of examples ?
>>
>> Christophe BAL
>>
>> PS : this questions has been posted on both Sage and Sympy lists.
>>
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