  Gravitational radiation drives compact binaries through an inspiral phase
towards a final coalescence. For binaries with\textit{spin, mass quadrupole and
magnetic dipole moments}, various contributions add to this process, which is
characterized by the rate of increase $df/dt$ of the gravitational wave
frequency and the accumulated number $\mathcal{N}$ of gravitational wave
cycles. We present here all contributions to $df/dt$ and $% \mathcal{N}$ up to
the second post-Newtonian order. Among them we give for the first time the
contributions due to the \textit{self-interaction of individual spins}. These
are shown to be commensurable with the proper spin-spin contributions for the
recently discovered J0737-3039 double pulsar, and argued to represent the first
corrections to the radiation reaction in the Lense-Thirring approach.
