Average Error: 0.0 → 0.0
Time: 5.2s
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 r191028 = x;
        double r191029 = 2.0;
        double r191030 = r191028 / r191029;
        double r191031 = y;
        double r191032 = r191031 * r191028;
        double r191033 = r191030 + r191032;
        double r191034 = z;
        double r191035 = r191033 + r191034;
        return r191035;
}
↓
double f(double x, double y, double z) {
        double r191036 = x;
        double r191037 = 2.0;
        double r191038 = r191036 / r191037;
        double r191039 = y;
        double r191040 = r191039 * r191036;
        double r191041 = r191038 + r191040;
        double r191042 = z;
        double r191043 = r191041 + r191042;
        return r191043;
}

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 2019326 
(FPCore (x y z)
  :name "Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1"
  :precision binary64
  (+ (+ (/ x 2) (* y x)) z))