[linux] grep from tar.gz without extracting [faster one]

Am trying to grep pattern from dozen files .tar.gz but its very slow

tar -ztf file.tar.gz | while read FILENAME
do
        if tar -zxf file.tar.gz "$FILENAME" -O | grep "string" > /dev/null
        then
                echo "$FILENAME contains string"
        fi
done

That's actually very easy with ugrep option -z:

-z, --decompress
        Decompress files to search, when compressed.  Archives (.cpio,
        .pax, .tar, and .zip) and compressed archives (e.g. .taz, .tgz,
        .tpz, .tbz, .tbz2, .tb2, .tz2, .tlz, and .txz) are searched and
        matching pathnames of files in archives are output in braces.  If
        -g, -O, -M, or -t is specified, searches files within archives
        whose name matches globs, matches file name extensions, matches
        file signature magic bytes, or matches file types, respectively.
        Supported compression formats: gzip (.gz), compress (.Z), zip,
        bzip2 (requires suffix .bz, .bz2, .bzip2, .tbz, .tbz2, .tb2, .tz2),
        lzma and xz (requires suffix .lzma, .tlz, .xz, .txz).

Which requires just one command to search file.tar.gz as follows:

ugrep -z "string" file.tar.gz

This greps each of the archived files to display matches. Archived filenames are shown in braces to distinguish them from ordinary filenames. For example:

$ ugrep -z "Hello" archive.tgz
{Hello.bat}:echo "Hello World!"
Binary file archive.tgz{Hello.class} matches
{Hello.java}:public class Hello // prints a Hello World! greeting
{Hello.java}:  { System.out.println("Hello World!");
{Hello.pdf}:(Hello)
{Hello.sh}:echo "Hello World!"
{Hello.txt}:Hello

If you just want the file names, use option -l (--files-with-matches) and customize the filename output with option --format="%z%~" to get rid of the braces:

$ ugrep -z Hello -l --format="%z%~" archive.tgz
Hello.bat
Hello.class
Hello.java
Hello.pdf
Hello.sh
Hello.txt

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