rubbish heap vs trash pile

rubbish heap and trash pile both are nouns.

Word	Noun	Adjective	Verb	Adverb
rubbish heap	Yes	No	No	No
trash pile	Yes	No	No	No

As nouns, rubbish heap and trash pile are synonyms defined as:

rubbish heap and trash pile: an accumulation of refuse and discarded matter

Other synonyms of rubbish heap include garbage heap, junk heap, junk pile, refuse heap, scrapheap, trash heap.

rubbish heap (noun)	trash pile (noun)
an accumulation of refuse and discarded matter	an accumulation of refuse and discarded matter