Average Error: 0.0 → 0.0
Time: 1.4s
Precision: 64
\[\frac{x \cdot y}{2.0}\]
↓
\[\frac{x \cdot y}{2.0}\]
\frac{x \cdot y}{2.0}
↓
\frac{x \cdot y}{2.0}
double f(double x, double y) {
        double r6098941 = x;
        double r6098942 = y;
        double r6098943 = r6098941 * r6098942;
        double r6098944 = 2.0;
        double r6098945 = r6098943 / r6098944;
        return r6098945;
}
↓
double f(double x, double y) {
        double r6098946 = x;
        double r6098947 = y;
        double r6098948 = r6098946 * r6098947;
        double r6098949 = 2.0;
        double r6098950 = r6098948 / r6098949;
        return r6098950;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\frac{x \cdot y}{2.0}\]

  2. Final simplification0.0

    \[\leadsto \frac{x \cdot y}{2.0}\]

Reproduce

herbie shell --seed 2019158 +o rules:numerics
(FPCore (x y)
  :name "Numeric.Interval.Internal:scale from intervals-0.7.1, B"
  (/ (* x y) 2.0))