Average Error: 0.0 → 0.0
Time: 865.0ms
Precision: 64
\[\frac{x}{y \cdot 2}\]
↓
\[\frac{\frac{x}{y}}{2}\]
\frac{x}{y \cdot 2}
↓
\frac{\frac{x}{y}}{2}
double f(double x, double y) {
        double r188267 = x;
        double r188268 = y;
        double r188269 = 2.0;
        double r188270 = r188268 * r188269;
        double r188271 = r188267 / r188270;
        return r188271;
}
↓
double f(double x, double y) {
        double r188272 = x;
        double r188273 = y;
        double r188274 = r188272 / r188273;
        double r188275 = 2.0;
        double r188276 = r188274 / r188275;
        return r188276;
}

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

    \[\frac{x}{y \cdot 2}\]
  2. Using strategy rm

  3. Applied associate-/r*0.0

    \[\leadsto \color{blue}{\frac{\frac{x}{y}}{2}}\]

  4. Final simplification0.0

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

Reproduce

herbie shell --seed 2020021 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, C"
  :precision binary64
  (/ x (* y 2)))