  We show that any homotopically smashing t-structure in the derived category
of a commutative noetherian ring is compactly generated. This generalizes the
validity of the telescope conjecture for commutative noetherian rings due to
Neeman. As another consequence, we obtain a cofinite type result for
pure-injective cosilting objects. We also give a formulation of telescope
conjecture for homotopically smashing t-structures in underlying triangulated
categories of certain Grothendieck derivators.
