How to add timestamp to STDERR redirection

Question

In bash/ksh can we add timestamp to STDERR redirection?

E.g. myscript.sh 2> error.log

I want to get a timestamp written on the log too.

Answer 1

If you want to redirect back to stdout I found you have to do this:

myscript.sh >> >( while read line; do echo "$(date): ${line}"; done )

Not sure why I need the > in front of the (, so <(, but thats what works.