Average Error: 0.0 → 0.0
Time: 2.7s
Precision: 64
\[\left(\frac{x}{2} + y \cdot x\right) + z\]
↓
\[\left(\frac{x}{2} + y \cdot x\right) + z\]
\left(\frac{x}{2} + y \cdot x\right) + z
↓
\left(\frac{x}{2} + y \cdot x\right) + z
double f(double x, double y, double z) {
        double r321833 = x;
        double r321834 = 2.0;
        double r321835 = r321833 / r321834;
        double r321836 = y;
        double r321837 = r321836 * r321833;
        double r321838 = r321835 + r321837;
        double r321839 = z;
        double r321840 = r321838 + r321839;
        return r321840;
}
↓
double f(double x, double y, double z) {
        double r321841 = x;
        double r321842 = 2.0;
        double r321843 = r321841 / r321842;
        double r321844 = y;
        double r321845 = r321844 * r321841;
        double r321846 = r321843 + r321845;
        double r321847 = z;
        double r321848 = r321846 + r321847;
        return r321848;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\left(\frac{x}{2} + y \cdot x\right) + z\]

  2. Final simplification0.0

    \[\leadsto \left(\frac{x}{2} + y \cdot x\right) + z\]

Reproduce

herbie shell --seed 2020056 
(FPCore (x y z)
  :name "Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1"
  :precision binary64
  (+ (+ (/ x 2) (* y x)) z))