Average Error: 0.0 → 0.0
Time: 6.5s
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 r208927 = x;
        double r208928 = 2.0;
        double r208929 = r208927 / r208928;
        double r208930 = y;
        double r208931 = r208930 * r208927;
        double r208932 = r208929 + r208931;
        double r208933 = z;
        double r208934 = r208932 + r208933;
        return r208934;
}
↓
double f(double x, double y, double z) {
        double r208935 = x;
        double r208936 = 2.0;
        double r208937 = r208935 / r208936;
        double r208938 = y;
        double r208939 = r208938 * r208935;
        double r208940 = r208937 + r208939;
        double r208941 = z;
        double r208942 = r208940 + r208941;
        return r208942;
}

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 2019294 
(FPCore (x y z)
  :name "Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1"
  :precision binary64
  (+ (+ (/ x 2) (* y x)) z))