Bootstrap Collapsed on load

I use this script

$(function () {
$('.tree li:has(ul)').addClass('parent_li').find(' > span').attr('title', 'Collapse this branch');
$('.tree li.parent_li > span').on('click', function (e) {
    var children = $(this).parent('li.parent_li').find(' > ul > li');
    if (children.is(":visible")) {
        children.hide('fast');
        $(this).attr('title', 'Expand this branch').find(' > i').addClass('icon-plus-sign').removeClass('icon-minus-sign');
    } else {
        children.show('fast');
        $(this).attr('title', 'Collapse this branch').find(' > i').addClass('icon-minus-sign').removeClass('icon-plus-sign');
    }
    e.stopPropagation();
});

http://jsfiddle.net/jhfrench/GpdgF/

for recursive collapsible menu. It works perfectly. But I need the menu collapsed initially that is when the page load and expand only on click.

My JS knowledge is weak. But i tried using toggle(); and hide(); , it results in collapsed and doesnt expand on click

Below is recursive php code

<?php
function listroles($roles)
{
    ?>
    <ul>
    <?php
    foreach($roles as $role)
    {
        ?>
        <li>
            <span><i class="icon-plus "></i> Parent</span> <a href="<?php echo $role['category']->slug; ?>"><?php echo $role['category']->name; ?></a>
            <?php
            if ( ! empty($role['children']))
            {
                listroles($role['children']);
            }
            ?>
        </li>
        <?php
    }
    ?>
    </ul>
    <?php
}

listroles($this->categories_menu);
?>