Are there connotations of subtotals in the phrase "add up the total"?

Does the phrase “add up the total” typically have a connotation that, from the list of all the numbers being added, there are some particular subtotals that either have already been calculated or at least could in principle be calculated?

Or is the phrase often used in cases where there are no meaningful subtotals that one could be interested in calculating from the list of numbers?