this is not how taxes work with the IRS. If you make a calculation error in their favour they will correct it and issue you a refund. If you make a compilation error in their favour and get reviewed or audited, you will get a refund. They also audit based more on discrepencies vs. "likelihood of a big payout".
If they precalculated your taxes and sent you a bill (or refund) it would (a) be easier, (b) be more accurate and (c) encourage simplification of the entire system. I consider that both more effective and more fair.