Average Error: 0.0 → 0.0
Time: 7.1s
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 r233172 = x;
        double r233173 = 2.0;
        double r233174 = r233172 / r233173;
        double r233175 = y;
        double r233176 = r233175 * r233172;
        double r233177 = r233174 + r233176;
        double r233178 = z;
        double r233179 = r233177 + r233178;
        return r233179;
}
↓
double f(double x, double y, double z) {
        double r233180 = x;
        double r233181 = 2.0;
        double r233182 = r233180 / r233181;
        double r233183 = y;
        double r233184 = r233183 * r233180;
        double r233185 = r233182 + r233184;
        double r233186 = z;
        double r233187 = r233185 + r233186;
        return r233187;
}

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 2019235 
(FPCore (x y z)
  :name "Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1"
  :precision binary64
  (+ (+ (/ x 2) (* y x)) z))