come to nothing
Also, come to naught. Fail, as in All his efforts have come to nothing, or The last round of peace talks came to naught. The first term dates from the mid-1500s, the variant from the early 1600s.
The American Heritage® Idioms Dictionary Copyright © 2002, 2001, 1995 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company.