high stepper vs Equus caballus

high stepper and Equus caballus both are nouns.

Word	Noun	Adjective	Verb	Adverb
high stepper	Yes	No	No	No
Equus caballus	Yes	No	No	No

As nouns, Equus caballus is a hypernym of high stepper; that is, Equus caballus is a word with a broader meaning than high stepper:

high stepper: a horse trained to lift its feet high off the ground while walking or trotting
Equus caballus: solid-hoofed herbivorous quadruped domesticated since prehistoric times

Other hypernyms of high stepper include horse.

high stepper (noun)	Equus caballus (noun)
a horse trained to lift its feet high off the ground while walking or trotting	solid-hoofed herbivorous quadruped domesticated since prehistoric times