AWK can be used as plain grep, additional computations can be done with awk.
Following example shows combination of grep <pattern> and grep -c <pattern> using pattern-search-count.awk program.
# generate data to parse
$ ps auxwww > /tmp/ps.log
# essential grep command showing entries
$ grep 'systemd' /tmp/ps.log
root 1 0.0 0.0 197064 4196 ? Ss Oct31 2:20 /usr/lib/systemd/systemd --switched-root --system --deserialize 24
root 806 0.0 0.6 162724 51400 ? Ss Oct31 3:43 /usr/lib/systemd/systemd-journald
root 848 0.0 0.0 47912 1780 ? Ss Oct31 0:20 /usr/lib/systemd/systemd-udevd
root 1059 0.0 0.0 27128 1644 ? Ss Oct31 0:15 /usr/lib/systemd/systemd-logind
dbus 1062 0.1 0.9 336104 78796 ? Ssl Oct31 45:00 /usr/bin/dbus-daemon --system --address=systemd: --nofork --nopidfile --systemd-activation --syslog-only
root 1266 0.0 0.2 2078436 19772 ? Ssl Oct31 37:21 /usr/bin/docker-current daemon --exec-opt native.cgroupdriver=systemd --selinux-enabled --log-driver=journald
gdm 1442 0.0 0.0 47700 2544 ? Ss Oct31 0:12 /usr/lib/systemd/systemd --user
gdm 1574 0.0 0.0 58748 108 ? Ssl Oct31 0:00 /usr/bin/dbus-daemon --session --address=systemd: --nofork --nopidfile --systemd-activation --syslog-only
freznic+ 1975 0.0 0.0 47728 2256 ? Ss Oct31 0:12 /usr/lib/systemd/systemd --user
freznic+ 2079 0.0 0.0 60476 3644 ? Ssl Oct31 33:59 /usr/bin/dbus-daemon --session --address=systemd: --nofork --nopidfile --systemd-activation --syslog-only
root 3164 0.0 0.0 17964 1188 ? Ss Oct31 0:11 /usr/lib/systemd/systemd-machined
# equivalent awk app showing entries
$ awk -v pattern=systemd -f pattern-search-count.awk /tmp/ps.log 2>/dev/null
root 1 0.0 0.0 197064 4196 ? Ss Oct31 2:20 /usr/lib/systemd/systemd --switched-root --system --deserialize 24
root 806 0.0 0.6 162724 51400 ? Ss Oct31 3:43 /usr/lib/systemd/systemd-journald
root 848 0.0 0.0 47912 1780 ? Ss Oct31 0:20 /usr/lib/systemd/systemd-udevd
root 1059 0.0 0.0 27128 1644 ? Ss Oct31 0:15 /usr/lib/systemd/systemd-logind
dbus 1062 0.1 0.9 336104 78796 ? Ssl Oct31 45:00 /usr/bin/dbus-daemon --system --address=systemd: --nofork --nopidfile --systemd-activation --syslog-only
root 1266 0.0 0.2 2078436 19772 ? Ssl Oct31 37:21 /usr/bin/docker-current daemon --exec-opt native.cgroupdriver=systemd --selinux-enabled --log-driver=journald
gdm 1442 0.0 0.0 47700 2544 ? Ss Oct31 0:12 /usr/lib/systemd/systemd --user
gdm 1574 0.0 0.0 58748 108 ? Ssl Oct31 0:00 /usr/bin/dbus-daemon --session --address=systemd: --nofork --nopidfile --systemd-activation --syslog-only
freznic+ 1975 0.0 0.0 47728 2256 ? Ss Oct31 0:12 /usr/lib/systemd/systemd --user
freznic+ 2079 0.0 0.0 60476 3644 ? Ssl Oct31 33:59 /usr/bin/dbus-daemon --session --address=systemd: --nofork --nopidfile --systemd-activation --syslog-only
root 3164 0.0 0.0 17964 1188 ? Ss Oct31 0:11 /usr/lib/systemd/systemd-machined
# essential grep command showing count
$ grep -c 'systemd' /tmp/ps.log
11
# essential awk app showing count
$ awk -v pattern=systemd -f pattern-search-count.awk /tmp/ps.log >/dev/null
11