run deep

:  to go faster than a walk

:  to go steadily by springing steps so that both feet leave the ground for an instant in each step

:  to move at a fast gallop

:  an act or the action of running :  continued rapid movement

:  a quickened gallop

:  a migration of fish (as up or down a river) especially to spawn

:  being in a melted state

:  made from molten material :  cast in a mold

:  having made a migration or spawning run

:  extending far from some surface or area: such as

:  extending far downward

:  extending well inward from an outer surface

:  to a great depth :  deeply

:  far on :  late

:  near the outer limits of the playing area

:  a vast or immeasurable extent :  abyss

:  the extent of surrounding space or time

:  ocean