Average Error: 0.0 → 0.0
Time: 1.1s
Precision: 64
\[\frac{x}{y \cdot 2.0}\]
↓
\[\frac{x}{2.0 \cdot y}\]
\frac{x}{y \cdot 2.0}
↓
\frac{x}{2.0 \cdot y}
double f(double x, double y) {
        double r9789268 = x;
        double r9789269 = y;
        double r9789270 = 2.0;
        double r9789271 = r9789269 * r9789270;
        double r9789272 = r9789268 / r9789271;
        return r9789272;
}
↓
double f(double x, double y) {
        double r9789273 = x;
        double r9789274 = 2.0;
        double r9789275 = y;
        double r9789276 = r9789274 * r9789275;
        double r9789277 = r9789273 / r9789276;
        return r9789277;
}

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

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

  2. Final simplification0.0

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

Reproduce

herbie shell --seed 2019163 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, C"
  (/ x (* y 2.0)))