How can I count the quantity of operands and operators (both total and unique) of a JavaScript program?

In addition to Solution 1, here is a hint for you: you can get the code of your script in the same script.
For starters, here is how you can get the code of some function in a string:

function A(a, b) { /* some function implementation here */ }

var codeOfA = A.toString(); // now you can parse your string the way you want

Moreover, you can get the full text of some script, as an element of the HTML page. This is how:

var scripts = document.getElementsByTagName("script");
for (var index = 0; index < scripts.length; ++index) {
	var scriptText = scripts[index].text;
	// parse scriptText...
}

Note that the script should be embedded in the HTML where you are using your script; if the script is in some separate file, its text property returns empty string.

—SA