Average Error: 0.0 → 0.0
Time: 1.5s
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 r277901 = x;
        double r277902 = 2.0;
        double r277903 = r277901 / r277902;
        double r277904 = y;
        double r277905 = r277904 * r277901;
        double r277906 = r277903 + r277905;
        double r277907 = z;
        double r277908 = r277906 + r277907;
        return r277908;
}
↓
double f(double x, double y, double z) {
        double r277909 = x;
        double r277910 = 2.0;
        double r277911 = r277909 / r277910;
        double r277912 = y;
        double r277913 = r277912 * r277909;
        double r277914 = r277911 + r277913;
        double r277915 = z;
        double r277916 = r277914 + r277915;
        return r277916;
}

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 2020064 
(FPCore (x y z)
  :name "Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1"
  :precision binary64
  (+ (+ (/ x 2) (* y x)) z))