Answer

All three of the following complaints have to do with the fact that this implementation requires us to control the order in which Maple does things by hand. In other words, the implementation is not fully automated.

• We have to make a choice about whether to evaluate the assignment to neg or the assignment to pos during each repetition. It would be nice if Maple would do this for us.
• We have to repeat the process over and over, and we have to decide when to stop. It would be nice if Maple would do the repetitions for us and decide when we've gotten close enough to the answer.
• Each time that we use this approach, we've got to type in the seven assignment statements that make it up. It would be nice to package this implementation up into something resembling a function, so that we could use it more easily.

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