SQL & PL/SQL :: Does Oracle Log Exception In User Defined Function

If a user defined function in Oracle may throw and catch exceptions depending on input, now does the Oracle logs the exception? Fundamentally we are asking if Oracle logs any random DML errors (not bulk operation). We hope not, as we do not want our client DBA get concerned. There might be many levels of settings in Oracle to log or not log. So if Oracle may log it depending on setting, how do we suppress it either at Oracle specific schema level, or function level?

This is my user defined function:

create or replace FUNCTION ISNUMERIC(char_in CHAR) RETURN NUMBER IS
n NUMBER ;
BEGIN
n := TO_NUMBER(char_in);
RETURN 1;
EXCEPTION
WHEN OTHERS THEN
RETURN 0;
END;