How do I get rid of "--" line separator when using grep with context lines?

I have a text file named compare.txt where I want to extract the single line that follows every line that contains the pattern nmse_gain_constant. The following command gets me close:

grep -A 1 nmse_gain_constant compare.txt | grep -v nmse_gain_constant

But this includes a separator -- line between every line of desired text. Any easy ideas how to get rid of the -- lines?

Example: for an input file that looks like

line
line
nmse_gain_constant matching line
line after first match
line
line
nmse_gain_constant another matching line
line after second match
line
nmse_gain_constant a third matching line
line after third match

the output is

line after first match
--
line after second match
--
line after third match

but I'd like to have just

line after first match
line after second match
line after third match

Solution 1:

I do this:

 grep ... | grep -v -- "^--$"

But this works too (on many, not all OS'es)!

grep --no-group-separator ...

And it doesn't spit out that "--" or even a blank line.

Solution 2:

There is an undocumented parameter of grep: "--group-separator", which overrides the default "--". You can set it to "" to get rid of the double dash. Though, you still get an empty line. I had the same trouble, and found this param by reading the source code of grep.