Which regime is better has no fixed answer
It depends entirely on how much you can deduct, and that is personal. Somebody with a home loan, a full 80C, health insurance for their parents and an NPS contribution is in a completely different position from somebody renting with no investments, on identical salaries.
So a calculator that shows you one regime's tax is not much use, and one that shows both still leaves you guessing whether pushing your 80C higher would change the answer. The break-even figure closes that gap: it is the deduction total at which the two regimes cost exactly the same. Claim more than that and the old regime is cheaper; claim less and it is not.
It is worked out by bisection rather than a formula, because the slab boundaries, the 87A rebate cliff and the surcharge steps make the difference between the two regimes non-linear. There is no closed-form answer to solve.