Turbo jQuery with getElementById

/**
 * Use the code below as a reference if you're sure you're using
 * elements' ID's. In my system, the pure version ended in 243ms while
 * the accelerated version ended in 33ms. The speed difference is not
 * noticeable for a small number of traversals, though.
 */
jQuery(function(){
    (function($, doc){
        
    var nElements = 100, iterations = 10000;



    var i = iterations, j = nElements;
    console.time("pure jQuery");
    while (i--) {
        $("p" + i);
    }
    console.timeEnd("pure jQuery");
    
    
    
    i = iterations; j = nElements;
    console.time("accelerated jQuery");
    while (i--) {
        $(doc.getElementById("p" + i));
    }
    console.timeEnd("accelerated jQuery");



    })(jQuery, document);
});