Same trial endlessly corresponds (7)
I believe the answer is:
equates
'corresponds' is the definition.
('equate' can be a synonym of 'correspond')
I don't understand the remainder of the clue.
Can you help me to learn more?
(Other definitions for equates that I've seen before include "Regards as identical" , "Considers to be equal or equivalent" , "Corresponds, matches" .)