Bundle a param passed function including all external data

Question

I want to create a function bundleFunction() that gets as a parameter a function and bundles it into a string, including all the external dependencies that it uses.

Example usage:

const f1 = 1;
const f2 = 2;

function add(a, b) {
    return a + b;
}

bundleFunction(() => {
    const result = add(f1, f2);
    return result;
});

And the return value of bundleFunction() to look something like this:

"function () { const result = ((a, b) => { return a + b })(1, 2); return result; }

Is it even possible to do something like this or something similar? Thanks in advance!

I was thinking to try to use eval() but wasn't able to come with any viable solution.