Average Error: 0.0 → 0.0
Time: 16.7s
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 r10481007 = x;
        double r10481008 = y;
        double r10481009 = 2.0;
        double r10481010 = r10481008 * r10481009;
        double r10481011 = r10481007 / r10481010;
        return r10481011;
}
↓
double f(double x, double y) {
        double r10481012 = x;
        double r10481013 = y;
        double r10481014 = r10481012 / r10481013;
        double r10481015 = 2.0;
        double r10481016 = r10481014 / r10481015;
        return r10481016;
}

Error

Bits error versus x

Bits error versus y

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Results

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