Average Error: 0.0 → 0.0
Time: 2.8s
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 r242752 = x;
        double r242753 = 2.0;
        double r242754 = r242752 / r242753;
        double r242755 = y;
        double r242756 = r242755 * r242752;
        double r242757 = r242754 + r242756;
        double r242758 = z;
        double r242759 = r242757 + r242758;
        return r242759;
}
↓
double f(double x, double y, double z) {
        double r242760 = x;
        double r242761 = 2.0;
        double r242762 = r242760 / r242761;
        double r242763 = y;
        double r242764 = r242763 * r242760;
        double r242765 = r242762 + r242764;
        double r242766 = z;
        double r242767 = r242765 + r242766;
        return r242767;
}

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 2020025 
(FPCore (x y z)
  :name "Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1"
  :precision binary64
  (+ (+ (/ x 2) (* y x)) z))