Average Error: 0.0 → 0.0
Time: 1.1s
Precision: 64
\[\frac{x \cdot y}{2}\]
↓
\[\frac{x \cdot y}{2}\]
\frac{x \cdot y}{2}
↓
\frac{x \cdot y}{2}
double f(double x, double y) {
        double r3438064 = x;
        double r3438065 = y;
        double r3438066 = r3438064 * r3438065;
        double r3438067 = 2.0;
        double r3438068 = r3438066 / r3438067;
        return r3438068;
}
↓
double f(double x, double y) {
        double r3438069 = x;
        double r3438070 = y;
        double r3438071 = r3438069 * r3438070;
        double r3438072 = 2.0;
        double r3438073 = r3438071 / r3438072;
        return r3438073;
}

Error

Bits error versus x

Bits error versus y

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Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\frac{x \cdot y}{2}\]

  2. Final simplification0.0

    \[\leadsto \frac{x \cdot y}{2}\]

Reproduce

herbie shell --seed 2019179 +o rules:numerics
(FPCore (x y)
  :name "Numeric.Interval.Internal:scale from intervals-0.7.1, B"
  (/ (* x y) 2.0))