How to describe function convergence and function tolerance for numerical root-finding?

I’m currently doing some practice problems on root-finding and am writing up some notes / comments on my code. In my solver code, if my function value is below the tolerance that I’ve set, should I write,

"the function converged to a root, since the function evaluation is below the function tolerance"

or

"the function converged to a root, since the function tolerance is achieved"?

Is there a better way to word it?