Example of an arithmetic formula

x²+4y(z-3)

Written as an unparsed formula, each token is directly transcribed as follows:

Written as a parsed formula (in reverse Polish), an evaluation order is established first, for example:

x  2  ^  4  y  *  z  3  -  *  +

and this is then transcribed as follows:

Notice that the brackets used to establish the order of evaluation in the unparsed formula are not required in the parsed form.