Average Error: 0.0 → 0.0
Time: 4.3s
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 r158242 = x;
        double r158243 = 2.0;
        double r158244 = r158242 / r158243;
        double r158245 = y;
        double r158246 = r158245 * r158242;
        double r158247 = r158244 + r158246;
        double r158248 = z;
        double r158249 = r158247 + r158248;
        return r158249;
}
↓
double f(double x, double y, double z) {
        double r158250 = x;
        double r158251 = 2.0;
        double r158252 = r158250 / r158251;
        double r158253 = y;
        double r158254 = r158253 * r158250;
        double r158255 = r158252 + r158254;
        double r158256 = z;
        double r158257 = r158255 + r158256;
        return r158257;
}

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 2019322 
(FPCore (x y z)
  :name "Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1"
  :precision binary64
  (+ (+ (/ x 2) (* y x)) z))