Node 0.12

this.registerWatcher('browser-sync', src || defaultSrc);
         ^
TypeError: undefined is not a function

Node 0.10

I get exactly the same output as posted above

TypeError: Object function (recipe) {
    // We'll start by loading all of the available tasks.
    require('require-dir')('./tasks');

    // The user may then choose which tasks they want.
    recipe(Elixir.mixins);

    // Now that the user has requested their desired tasks
    // from the Gulpfile, we'll initialize everything!
    createGulpTasks.call(Elixir);
} has no method 'registerWatcher'

the elixir api has changed https://github.com/laravel/elixir/releases

gulp.task('speak', function() {
            return gulp.src('').pipe(shell('say ' + message));
        });

        return this.queueTask('speak')
                   .registerWatcher('speak', './app/**');

now it is

 new Task('speak', function() {
            return gulp.src('').pipe(shell('say ' + message));
        })
        .watch('./app/**');

@taciomedeiros thanks a alot. its all here : http://laravel.com/docs/5.1/elixir