# If you'd like to omit non-matching lines from the result; add ';d' to the end of the expression.
sed -E 's/(?m)(?|^(\d+):()()|\G^()([-+]?\d+)(?![:\d])[ \t]+(.*)|\G^()()()[ \t]*$\R*)\R?/$1\t$2\t$3\r\n/g;t' <<< "6:
1 my 1st log
-2 my 2nd log
7:
-3 my 3rd log
4 my 4th log
-5 my 5th log
"
Please keep in mind that these code samples are automatically generated and are not guaranteed to work. If you find any syntax errors, feel free to submit a bug report. For a full regex reference for SED, please visit: https://www.gnu.org/software/sed/manual/html_node/The-_0022s_0022-Command.html