This is not possible right now.
The name of the log file is the same as the name of the automation job that it being running.
If you want that this is considered please go to Idea Pond (http://www.toadworld.com/products/toad-data-point/i ) and enter your request if it is not already there.
Idea Pond is a site where you can tell the development team what you want, and tell us how important it is by submitting, voting, and commenting on ideas. Just sign in and submit your idea there.
