Average Error: 0.0 → 0.0
Time: 9.2s
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 r191951 = x;
        double r191952 = 2.0;
        double r191953 = r191951 / r191952;
        double r191954 = y;
        double r191955 = r191954 * r191951;
        double r191956 = r191953 + r191955;
        double r191957 = z;
        double r191958 = r191956 + r191957;
        return r191958;
}
↓
double f(double x, double y, double z) {
        double r191959 = x;
        double r191960 = 2.0;
        double r191961 = r191959 / r191960;
        double r191962 = y;
        double r191963 = r191962 * r191959;
        double r191964 = r191961 + r191963;
        double r191965 = z;
        double r191966 = r191964 + r191965;
        return r191966;
}

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 2019306 
(FPCore (x y z)
  :name "Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1"
  :precision binary64
  (+ (+ (/ x 2) (* y x)) z))