On 4/19/24 22:01, Waldek Hebisch wrote:
On Fri, Apr 19, 2024 at 12:42:19AM -0700, 'Nasser M. Abbasi' via FriCAS - 
computer algebra system wrote:
FYI,

This is update for the final summer 2024 edition of CAS integration tests
about the issue Fricas giving zero for non zero integrand.

There are 4 such cases found out of 107,000 integrals.

Here they are

sqlite3 cas_integration_tests.db
sqlite> select COUNT(*) from main where fricas_anti="0";
6

But only 2 of these 6 cases should give zero. The rest should not.

  Here is the output from Fricas for the four cases:


The other 3 are plain bugs.


For those 3 bugs, they are all caused by dependent algebraic kernels.
FriCAS can solve them, if you substitute sqrt(6) to sqrt(2)*sqrt(3).

But is there a way to solve this kind of problems in general?

- Qian

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