Average Error: 0.0 → 0.0
Time: 592.0ms
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 r83450 = x;
        double r83451 = y;
        double r83452 = r83450 * r83451;
        double r83453 = 2.0;
        double r83454 = r83452 / r83453;
        return r83454;
}
↓
double f(double x, double y) {
        double r83455 = x;
        double r83456 = y;
        double r83457 = r83455 * r83456;
        double r83458 = 2.0;
        double r83459 = r83457 / r83458;
        return r83459;
}

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

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

  2. Final simplification0.0

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

Reproduce

herbie shell --seed 2020036 +o rules:numerics
(FPCore (x y)
  :name "Numeric.Interval.Internal:scale from intervals-0.7.1, B"
  :precision binary64
  (/ (* x y) 2))