DataTables ajax callback on enter key

HTML

<script src="//cdn.datatables.net/1.10.6/js/jquery.dataTables.js"></script>
<link rel="stylesheet" href="//cdn.datatables.net/1.10.6/css/jquery.dataTables.css">
<link rel="stylesheet" href="https://cdn.datatables.net/scroller/1.2.2/css/dataTables.scroller.min.css">
<script src="https://cdn.datatables.net/scroller/1.2.2/js/dataTables.scroller.min.js"></script>
<br><br>
<table id="example" class="display" cellspacing="0" width="100%">
    <thead>
        <tr>
            <th>ID</th>
            <th>Name</th>
            <th>Rating</th>
            <th>Votes</th>
        </tr>
    </thead>
</table>

JavaScript

$('#example').on('xhr.dt', function ( e, settings, json, xhr ) {
    var api = new $.fn.dataTable.Api(settings)
    var info = api.page.info();
    
    console.log('Data has been loaded', info);
});

$("#example").dataTable({
     "scrollCollapse": true,
     "serverSide": true,
     "searching": true,
     "ajax": function ( data, callback, settings ) {
         setTimeout( function () {
             var out = [];             
             for ( var i=data.start, ien=data.start+data.length ; i<ien ; i++ ) {
                 out.push( { id: i+'-1', name: i+'-2', rating: i+'-3', votes: i+'-4' } );
             }             
             
             callback( {
               "draw": data.draw,
               "data": out,
               "recordsTotal": 5000000,
               "recordsFiltered": 5000000
             });
             
         }, 50 );
      },     
      "ordering": true,
			"deferRender":    true,
			"scroller": {
				"loadingIndicator": true,
				"trace": true,
			}, 
			//"dom": "rtiS",
			"scrollCollapse": true,
			"scrollX": true,
			"scrollY": 400,
			"bProcessing" : true,
			"bDestroy" : true,
			"bAutoWidth" : true,
			/* "sScrollY" : "200",
		        "sScrollX" : "100%",*/
			"scrollCollapse" : true,

			//"sPaginationType" : "full_numbers",
			//"iDisplayLength" : 25,
			//"bLengthChange" : false,
		fixedHeader: true,
			"dom": 'Bfrtip',
		  "columns": [
          {"data": "id"}, 
          {"data": "name"}, 
          {"data": 'rating'}, 
          {"data": 'votes'}
      ]
 });
 
 
 
  $("#example_filter input")
  .unbind()
  .bind('keyup', function(e) {
    if (e.keyCode == 13) {
      console.log("after enter key"); //this statement is printing
      $("#example").on('ajax', function ( data, callback, settings ) {
         console.log("inside ajax request"); // this statement not printing
         setTimeout( function () {
             var out = [];             
             for ( var i=data.start, ien=data.start+data.length ;...