jquery-search-elements-delayed.js

// given input#search, .my-menu a, .my-menu .sub-menu .a
    jQuery(function(){
      jQuery('#search').on('keyup',function(){
        if(typeof(search_sidebar_timer)!='undefined'){
          window.clearTimeout(search_sidebar_timer);
        }
        search_sidebar_timer = window.setTimeout(function(){
          jQuery(".my-menu a").hide();
          var txt_show_filter = jQuery('#search').val().toLowerCase().trim();
          if(txt_show_filter == '') {
            jQuery(".my-menu a").show(); //reset: show all   elements
            return;
          }
          jQuery(".my-menu > a").each(function () {
            var txt = jQuery(this).text().toLowerCase();
            console.log(txt);
            if (txt.indexOf(txt_show_filter) > -1 ) {
              jQuery(this).show();// show all exact matching elements
              return;
            }
        });
          jQuery(".my-menu > a").each(function() { // show Main > Submenu A, B, C... links (searched for 'Main')
            var txt = jQuery(this).text().toLowerCase();
            console.log(txt);
            if (txt.indexOf(txt_show_filter) > -1 ) {
              jQuery(this).next('.sub-menu').children('a').show();  // show elements of submenu following matched main menu item
            }
        });
        },300);
      });
    });