Another way to look forward (from the position of your cursor) without escaping is to use the command :s .
You can do:
:% s@http ://my.url.com/a/b/ c@ @n
then press n to move inverted text forward, n backward
If you want to know how many matches are in the buffer, use gn instead of n
Notice that I said "without running away", I was talking about the oblique line, if you want to accurately perform the search, you need to avoid the period. . . since in regex . means any char.
Kent source share