  In this work we investigate the impact of conformal symmetry breaking on
hydrodynamization of a far-from-equilibrium fluid. We find a new kind of
transseries solutions for the non-conformal hydrodynamic equations of a
longitudinal boost invariant expanding plasma. The new transseries solutions
unveil a rich physical structure which arises due to the interplay of different
physical scales. In the perfect fluid case the non-conformal speed of sound
slows down the cooling of the temperature due to the emergence of logarithmic
corrections that depends on the mass of the particle. These terms propagate
into the perturbative and non-perturbative sectors of the transseries once
viscous corrections are included. The logarithmic mass contributions increase
the asymptotic value of the Knudsen number while decreasing the damping rate of
the transient non-hydrodynamic modes and thus, yielding to an extremely slow
hydrodynamization process where flow lines merge to their forward attractor at
extremely late times. The early time free streaming expansion is modified and
receives logarithmic mass corrections induced by the shear-bulk couplings. The
global flow structure and numerical analyses carried out in our work
demonstrate the existence of the early and late-time attractors for the shear
viscous tensor and bulk viscous pressure.
