It will be an interesting feature to be able to name files which
are produced by
strace -ff -o /tmp/name <something>
regarding on what is happening in those traces, like first exec filename or 
first call.
That will be of great help if you are tracing a file which forks a lot of subprocesses and you need to find the only one which exec'd the interesting image.
Of course those files should have a suffix with process id also.