Jquery dan HTML Menambah Animasi Loading 

Pertama Load image nya dulu:

<center><img src="{{asset('/lib/img/loading.gif')}}"  id="loading"></img></center>

<input type="submit" id="btnsimpan" value="Ok">

$(document).ready(function(){
   $("#btnsimpan").click(function(){
     var start=$("#start").val();
     var end=$("#end").val();
     $.ajax({
       type:"GET", 
       data:{"start":start,
         "end":end,
         "_token":"{{ csrf_token() }}"
      },
       url:"{!! URL::to('getlaporan') !!}",
       beforeSend:function(){
        $('#loading').show();
      },
       success:function(data){
      $("#loading").hide();
        $("#data").html(data);
       }
     });
   });
 });

DEMO