In this paper, a tool-life equation is proposed, in which cutting conditions and amount of tool wear are treated as independent variables. The model is constructed so that it fits process of the tool wear which follows three stages, i. e. a rapid initial wear, followed by gradual or little wear and finally very rapid or catastrophic wear. The result of comparison of the established model and others (multiplication model and polynomial model) proves usability of it, with respect to accuracy and applicability to optimize cutting process. And this paper describes the sensitivity analysis of the model, investigating the effect of parameters variation on its accuracy and suggest a convenient technic when putting it to practical use.