Average Error: 0.0 → 0.0
Time: 2.3s
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 r164246 = x;
        double r164247 = 2.0;
        double r164248 = r164246 / r164247;
        double r164249 = y;
        double r164250 = r164249 * r164246;
        double r164251 = r164248 + r164250;
        double r164252 = z;
        double r164253 = r164251 + r164252;
        return r164253;
}
↓
double f(double x, double y, double z) {
        double r164254 = x;
        double r164255 = 2.0;
        double r164256 = r164254 / r164255;
        double r164257 = y;
        double r164258 = r164257 * r164254;
        double r164259 = r164256 + r164258;
        double r164260 = z;
        double r164261 = r164259 + r164260;
        return r164261;
}

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 1978988140 
(FPCore (x y z)
  :name "Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1"
  :precision binary64
  (+ (+ (/ x 2) (* y x)) z))