Here's a CSS-only alternative. I set this up for a search field to get an effect similar to Firefox (& a hundred other apps.)
HTML
<div class="col-md-4">
<input class="form-control" type="search" />
<span class="glyphicon glyphicon-search"></span>
</div>
CSS
.form-control {
padding-right: 30px;
}
.form-control + .glyphicon {
position: absolute;
right: 0;
padding: 8px 27px;
}