Email administrator after successful edit profile

/*
 * Email administrator after successful edit profile. Tags: after edit profile, email administrator
 */
 
add_filter('wppb_edit_profile_success', 'wppb_email_after_edit', 10, 3);
add_filter('wppb_register_success', 'wppb_email_after_edit', 10, 3);
function wppb_email_after_edit($request, $form_name, $user_id){
   // for more information about wp_get_current_user please see http://codex.wordpress.org/Function_Reference/wp_get_current_user
   // this is useful in case you want something more then just the user_login and ID
   if ( $form_name == 'edit_profile' ){
      $user_id = get_current_user_id();
   }
 
   $user = get_user_by('id', $user_id);
   $url = admin_url("/user-edit.php?user_id=$user_id");
 
   $to = get_option( 'admin_email' );
   $subject = "User: $user->user_login successfully edited his account.";
   $message = "
<p>User: $user->user_login successfully edited or registered his account. View his account at <a href='$url'>his account</a>.</p>
   ";
   $headers = "Content-type: text/html";
 
   wp_mail($to, $subject, $message, $headers);
}