JavaScript: implementing fadeIn() and fadeOut() without jQuery

HTML

<p><button id="in">fadeIn()</button><button id="out">fadeOut()</button></p>

<div id="test"></div>

CSS

#test {
    width: 100px;
    height: 100px;
    background: black;
}

JavaScript

(function() {
    var FX = {
        easing: {
            linear: function(progress) {
                return progress;
            },
            quadratic: function(progress) {
                return Math.pow(progress, 2);
            },
            swing: function(progress) {
                return 0.5 - Math.cos(progress * Math.PI) / 2;
            },
            circ: function(progress) {
                return 1 - Math.sin(Math.acos(progress));
            },
            back: function(progress, x) {
                return Math.pow(progress, 2) * ((x + 1) * progress - x);
            },
            bounce: function(progress) {
                for (var a = 0, b = 1, result; 1; a += b, b /= 2) {
                    if (progress >= (7 - 4 * a) / 11) {
                        return -Math.pow((11 - 6 * a - 11 * progress) / 4, 2) + Math.pow(b, 2);
                    }
                }
            },
            elastic: function(progress, x) {
                return Math.pow(2, 10 * (progress - 1)) * Math.cos(20 * Math.PI * x / 3 * progress);
            }
        },
        animate: function(options) {
            var start = new Date;
            var id = setInterval(function() {
                var timePassed = new Date - start;
                var progress = timePassed / options.duration;
                if (progress > 1) {
                    progress = 1;
                }
                options.progress = progress;
                var delta = options.delta(progress);
                options.step(delta);
                if (progress == 1) {
                    clearInterval(id);
                    options.complete();
                }
            }, options.delay || 10);
        },
        fadeOut: function(element, options) {
            var to = 1;
            this.animate({
                duration: options.duration,
                delta: function(progress) {
                    progress = this.progress;
                    return...