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 r189678 = x;
        double r189679 = 2.0;
        double r189680 = r189678 / r189679;
        double r189681 = y;
        double r189682 = r189681 * r189678;
        double r189683 = r189680 + r189682;
        double r189684 = z;
        double r189685 = r189683 + r189684;
        return r189685;
}
↓
double f(double x, double y, double z) {
        double r189686 = x;
        double r189687 = 2.0;
        double r189688 = r189686 / r189687;
        double r189689 = y;
        double r189690 = r189689 * r189686;
        double r189691 = r189688 + r189690;
        double r189692 = z;
        double r189693 = r189691 + r189692;
        return r189693;
}

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 2019356 
(FPCore (x y z)
  :name "Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1"
  :precision binary64
  (+ (+ (/ x 2) (* y x)) z))