Explain common sub expression elimination, Computer Engineering

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Explain briefly Common sub expression elimination of the commonly used code optimization techniques.

Common sub expression elimination:

In given expression as "(a+b)-(a+b)/4", in such "common sub-expression" termed to the duplicated "(a+b)". Compilers implementing such technique realize that "(a+b)" would not modify, and by itself, only compute its value once and use similar value next time.

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