Will the options
/nfl /ndl be enough and not exclude errors too?
/nfl (no list of file names) and
ndl (no list of directory names) there are some other switches to exlude things from the output.
ns(no file sizes)
nc(no file classes)
njh(no job header)
njs(no job summary)
If you want to write your log into a text file, your command should look like this:
robocopy [source] [destination] /nfl /ndl /njh /njs /ns /nc /np >> log.txt