  The temperature renormalization group equation (TRGE) is compared with a
diagrammatic expansion for the $(\phi^4)_4$-theory. It is found that the
one-loop TRGE resums the leading powers of temperature for the effective mass.
A two-loop contribution to TRGE is required to do the leading resummation for
the coupling constant. It is also shown that the higher order TRGE resums
subleading powers of temperature.
