Hinduism vs Vedism

Hinduism and Vedism both are nouns.

Word	Noun	Adjective	Verb	Adverb
Hinduism	Yes	No	No	No
Vedism	Yes	No	No	No

As nouns, Vedism is a hyponym of Hinduism; that is, Vedism is a word with a more specific, narrower meaning than Hinduism:

Hinduism: a body of religious and philosophical beliefs and cultural practices native to India and based on a caste system; it is characterized by a belief in reincarnation, by a belief in a supreme being of many forms and natures, by the view that opposing theories are aspects of one eternal truth, and by a desire for liberation from earthly evils
Vedism: the form of Hinduism that revolves primarily around the mythic version and ritual ideologies in the Vedas

Hinduism (noun)	Vedism (noun)
a body of religious and philosophical beliefs and cultural practices native to India and based on a caste system; it is characterized by a belief in reincarnation, by a belief in a supreme being of many forms and natures, by the view that opposing theories are aspects of one eternal truth, and by a desire for liberation from earthly evils	the form of Hinduism that revolves primarily around the mythic version and ritual ideologies in the Vedas
the religion of most people in India, Bangladesh, Sri Lanka, and Nepal