Average Error: 0.0 → 0.0
Time: 9.0s
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 r162686 = x;
        double r162687 = 2.0;
        double r162688 = r162686 / r162687;
        double r162689 = y;
        double r162690 = r162689 * r162686;
        double r162691 = r162688 + r162690;
        double r162692 = z;
        double r162693 = r162691 + r162692;
        return r162693;
}
↓
double f(double x, double y, double z) {
        double r162694 = x;
        double r162695 = 2.0;
        double r162696 = r162694 / r162695;
        double r162697 = y;
        double r162698 = r162697 * r162694;
        double r162699 = r162696 + r162698;
        double r162700 = z;
        double r162701 = r162699 + r162700;
        return r162701;
}

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 2019325 
(FPCore (x y z)
  :name "Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1"
  :precision binary64
  (+ (+ (/ x 2) (* y x)) z))