[CentOS] redirecting time output

Hi,

am trying to pipe output from time command and output from a shell 
script to the mail program.
So far it's not working as expected...

# time echo "test" 2>&1 | mail -s "timetest" my at mail.com

real    0m0.126s
user    0m0.000s
sys     0m0.000s

The time command writes to stderror, but here the redirection seems to 
apply to the echo command?

Thx
Rainer