setInterval() will not run immediately

Question

I want to define a object that hold a interval that can be reset

var intervalHolder = {
    make : function() {
        this.clean();
        this.interval = setInterval(function () {
            console.log("make interval");
        }, 3.0 * 1000);
    },
    clean: function(){
        if(this.interval){
            console.log("clean interval");
            clearInterval(this.interval);
        }
    }
};

intervalHolder.make() was designed to clean old interval and make a new one

but I found that when invoke the intervalHolder.make() multiple times , there will be a time gap between log clean interval and make interval, not immediately as expected. is clearInterval()' too time consuming?