Average Error: 0.0 → 0.0
Time: 7.5s
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 r192904 = x;
        double r192905 = y;
        double r192906 = 2.0;
        double r192907 = r192905 * r192906;
        double r192908 = r192904 / r192907;
        return r192908;
}
↓
double f(double x, double y) {
        double r192909 = x;
        double r192910 = y;
        double r192911 = r192909 / r192910;
        double r192912 = 2.0;
        double r192913 = r192911 / r192912;
        return r192913;
}

Error

Bits error versus x

Bits error versus y

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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 2019304 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, C"
  :precision binary64
  (/ x (* y 2)))