Average Error: 0.0 → 0.0
Time: 8.8s
Precision: 64
\[\frac{x}{y \cdot 2.0}\]
↓
\[\frac{x}{y} \cdot 0.5\]
\frac{x}{y \cdot 2.0}
↓
\frac{x}{y} \cdot 0.5
double f(double x, double y) {
        double r8483632 = x;
        double r8483633 = y;
        double r8483634 = 2.0;
        double r8483635 = r8483633 * r8483634;
        double r8483636 = r8483632 / r8483635;
        return r8483636;
}
↓
double f(double x, double y) {
        double r8483637 = x;
        double r8483638 = y;
        double r8483639 = r8483637 / r8483638;
        double r8483640 = 0.5;
        double r8483641 = r8483639 * r8483640;
        return r8483641;
}

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. Taylor expanded around 0 0.0

    \[\leadsto \color{blue}{0.5 \cdot \frac{x}{y}}\]

  3. Final simplification0.0

    \[\leadsto \frac{x}{y} \cdot 0.5\]

Reproduce

herbie shell --seed 2019168 
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, C"
  (/ x (* y 2.0)))