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 r164695 = x;
        double r164696 = 2.0;
        double r164697 = r164695 / r164696;
        double r164698 = y;
        double r164699 = r164698 * r164695;
        double r164700 = r164697 + r164699;
        double r164701 = z;
        double r164702 = r164700 + r164701;
        return r164702;
}
↓
double f(double x, double y, double z) {
        double r164703 = x;
        double r164704 = 2.0;
        double r164705 = r164703 / r164704;
        double r164706 = y;
        double r164707 = r164706 * r164703;
        double r164708 = r164705 + r164707;
        double r164709 = z;
        double r164710 = r164708 + r164709;
        return r164710;
}

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))