Replacing the expression 4∗2⋅14 by 8⋅56 is known as

Key idea: this transformation is constant folding — evaluating constant expressions at compile time.

• What constant folding does: compute expressions made only of constants during compilation. Example: 4 * 2 * 14 becomes 112.

• Important note about the provided replacement: replacing 4 * 2 * 14 by 8 * 56 is incorrect because 8 * 56 = 448, not 112. A correct constant folding replacement would be 112.

• Why it matters: reduces runtime work, can simplify code for further optimizations, and may reduce generated instructions.

Why the other terms are incorrect:

• Induction variable: a variable updated in a predictable way each loop iteration (e.g., a loop counter). It is unrelated to compile-time evaluation of constant expressions.

• Strength reduction: replaces expensive operations with cheaper equivalents (for example, replacing multiplication by addition inside a loop). This is a transformation to reduce operation cost, not to evaluate constants.

• Code reduction: an imprecise term here. It does not specifically denote evaluating constant expressions at compile time.