Average Error: 0.0 → 0.0
Time: 4.8s
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 r278867 = x;
        double r278868 = 2.0;
        double r278869 = r278867 / r278868;
        double r278870 = y;
        double r278871 = r278870 * r278867;
        double r278872 = r278869 + r278871;
        double r278873 = z;
        double r278874 = r278872 + r278873;
        return r278874;
}
↓
double f(double x, double y, double z) {
        double r278875 = x;
        double r278876 = 2.0;
        double r278877 = r278875 / r278876;
        double r278878 = y;
        double r278879 = r278878 * r278875;
        double r278880 = r278877 + r278879;
        double r278881 = z;
        double r278882 = r278880 + r278881;
        return r278882;
}

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 2020042 
(FPCore (x y z)
  :name "Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1"
  :precision binary64
  (+ (+ (/ x 2) (* y x)) z))