Why ajax calling for search doesn't display output?

I had search field using ajax call in laravel 5. It search in Db and display output in table. When user click on the page, it should display all db query. When user type in search field it should display the output according to the search input.

This is the controller for searching:

  function action(Request $request)
{
     if($request->ajax())
     {
          $output = '';
          $query = $request->get('query');
          if($query != '')
            {
               $data = DB::table('itemregistrations')
                        ->where('name', 'like', '%'.$query.'%')
                        ->paginate(10);

            }
            else
            {
               $data = DB::table('itemregistrations')
                        ->paginate(10);
              }

          $total_row = $data->count();

          if($total_row > 0)
          {
               foreach($data as $row)
               {
                $output .= '
                <tr>
                 <td>'.$row->name.'</td>
                 <td>'.$row->seksyen_kecil.'</td>
                 <td>'.$row->Nobadan.'</td>
                </tr>
                ';
           }
          }
          else
          {
           $output = '
           <tr>
            <td align="center" colspan="5">No Data Found</td>
           </tr>
           ';
          }
          $data = array(
           'table_data'  => $output,
           'total_data'  => $total_row
          );

      echo json_encode($data);
     }
}

This is the view blade displaying the output:

 <div class="row">
                <div class="form-group">
                  <div class="col-lg-5">
                    <input type="text" class="form-control" id="search" name="search"></input>
                  </div>
                </div>
            </div>

<div class="panel panel-default">
                  <div class="panel-heading">Senarai Kakitangan</div>
                     <div class="panel-body">
                            @if (session('status'))
                                <div class="alert alert-success">
                                    
                                </div>
                            @endif


                             @if(Auth::check())
                                <div class="container table-responsive col-lg-12">
                                    <!-- <div class="container text-center"> -->      
                                      <h3 align="center">Total Data : <span id="total_records"></span></h3>

                                        <table class="table table-striped table-bordered">
                                            <thead>
                                              <tr>
                                                <td><strong>#</strong></td>
                                                <td class="text-center col-lg-1"><strong>Nama</strong></td>
                                                <td class="text-center col-lg-3"><strong>Seksyen</strong></td>
                                                <td class="text-center col-lg3-2"><strong>No Badan</strong></td>
                                              </tr>
                                            </thead>

                                        <tbody>

                                        </tbody>
                                        </table>
                                    <!-- </div> -->
                                    <ul class="pagination pull-right">
                                        
                                    </ul>
                                </div>
                            @endif
                            @if(Auth::guest())
                                <a href="/login" class="btn btn-info"> Anda perlu log masuk.</a>
                            @endif
                     </div>
                  </div>
                </div>

The javascript for searching:

 <script>
$(document).ready(function(){

fetch_profil_data();

function fetch_profil_data(query = '')
{
  $.ajax({
  url:"",
  method:'GET',
  data:{query:query},
  dataType:'json',
  success:function(data)
{
  $('tbody').html(data.table_data);
  $('#total_records').text(data.total_data);
}
})
}

$(document).on('keyup', '#search', function(){
 var query = $(this).val();
fetch_profil_data(query);
});
});
</script>

The route for the search is:

 Route::get('/profil/action', 'Modul\ProfilController@action')->name('live_search.action');

I couldn't find any error and console.log also doesn't produce any output..

The searching doesn't work and don't display any result.

via Chebli Mohamed