Average Error: 0.0 → 0.0
Time: 2.0s
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 r252174 = x;
        double r252175 = 2.0;
        double r252176 = r252174 / r252175;
        double r252177 = y;
        double r252178 = r252177 * r252174;
        double r252179 = r252176 + r252178;
        double r252180 = z;
        double r252181 = r252179 + r252180;
        return r252181;
}
↓
double f(double x, double y, double z) {
        double r252182 = x;
        double r252183 = 2.0;
        double r252184 = r252182 / r252183;
        double r252185 = y;
        double r252186 = r252185 * r252182;
        double r252187 = r252184 + r252186;
        double r252188 = z;
        double r252189 = r252187 + r252188;
        return r252189;
}

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 2019354 
(FPCore (x y z)
  :name "Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1"
  :precision binary64
  (+ (+ (/ x 2) (* y x)) z))