  We present catalogues of stellar masses, star formation rates, and ancillary
stellar population parameters for galaxies spanning $0<z<9$ from the Deep
Extragalactic VIsible Legacy Survey (DEVILS). DEVILS is a deep spectroscopic
redshift survey with very high completeness, covering several premier deep
fields including COSMOS (D10). Our stellar mass and star formation rate
estimates are self-consistently derived using the spectral energy distribution
(SED) modelling code ProSpect, using well-motivated parameterisations for dust
attenuation, star formation histories, and metallicity evolution. We show how
these improvements, and especially our physically motivated assumptions about
metallicity evolution, have an appreciable systematic effect on the inferred
stellar masses, at the level of $\sim$\,0.2 dex. To illustrate the scientific
value of these data, we map the evolving galaxy stellar mass function (SMF) and
the SFR-$M_\star$ relation for $0<z<4.25$. In agreement with past studies, we
find that most of the evolution in the SMF is driven by the characteristic
density parameter, with little evolution in the characteristic mass and
low-mass slopes. Where the SFR-$M_\star$ relation is indistinguishable from a
power-law at $z>2.6$, we see evidence of a bend in the relation at low
redshifts ($z<0.45$). This suggests evolution in both the normalisation and
shape of the SFR-$M_\star$ relation since cosmic noon. It is significant that
we only clearly see this bend when combining our new DEVILS measurements with
consistently derived values for lower redshift galaxies from the Galaxy And
Mass Assembly (GAMA) survey: this shows the power of having consistent
treatment for galaxies at all redshifts.
