CAS Simplify: HP Prime vs. TI Nspire

[Joe Horn]

(08-13-2018 09:54 PM)JDW Wrote:  Nevertheless, the fact remains that the Nspire simplifies the aforementioned expression in a single step using its most basic "Simply" command.

So does Prime, and both Prime and Nspire return perfectly correct simplifications with their SIMPLIFY commands. Why are you are assuming that the Nspire's output is THE correct one? It's not. Yes, it's ONE of the many possible correct results, but it's not THE ONLY correct one. Its rules for simplification are not the only possible rules for simplification. Prime happens to have an alternate set of rules which are just as "correct" as Nspire's.