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+.bp
+.NH 1
+Common subexpression elimination
+.NH 2
+Introduction
+.PP
+The Common Subexpression Elimination optimization technique (CS)
+tries to eliminate multiple computations of EM expressions
+that yield the same result.
+It places the result of one such computation
+in a temporary variable,
+and replaces the other computations by a reference
+to this temporary variable.
+The primary goal of this technique is to decrease
+the execution time of the program,
+but in general it will save space too.
+.PP
+As an example of the application of Common Subexpression Elimination,
+consider the piece of program in Fig. 7.1(a).
+.DS
+x := a * b;          TMP := a * b;       x := a * b;
+CODE;                x := TMP;           CODE
+y := c + a * b;      CODE                y := x;
+                     y := c + TMP;
+
+   (a)                  (b)                 (c)
+
+Fig. 7.1  Examples of Common Subexpression Elimination
+.DE
+If neither a nor b is changed in CODE,
+the instructions can be replaced by those of Fig. 7.1(b),
+which saves one multiplication,
+but costs an extra store instruction.
+If the value of x is not changed in CODE either,
+the instructions can be replaced by those of Fig. 7.1(c).
+In this case
+the extra store is not needed.
+.PP
+In the following sections we will describe
+which transformations are done
+by CS and how this phase
+was implemented.