Replacement of an exact real arithmetic result by a representable floating-point number under a specified rounding rule. Repeated products can depend on evaluation order, so a recursive rewrite intended to reproduce a floating-point loop should preserve its sequence of accumulator operations. An exact algebraic invariant does not by itself establish equality of rounded machine results.

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  1. Floating-point arithmetic
  2. Numerical analysis
  3. Analysis
  4. Area of mathematics
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