Average Error: 0.0 → 0.0
Time: 4.3s
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 r166798 = x;
        double r166799 = 2.0;
        double r166800 = r166798 / r166799;
        double r166801 = y;
        double r166802 = r166801 * r166798;
        double r166803 = r166800 + r166802;
        double r166804 = z;
        double r166805 = r166803 + r166804;
        return r166805;
}
↓
double f(double x, double y, double z) {
        double r166806 = x;
        double r166807 = 2.0;
        double r166808 = r166806 / r166807;
        double r166809 = y;
        double r166810 = r166809 * r166806;
        double r166811 = r166808 + r166810;
        double r166812 = z;
        double r166813 = r166811 + r166812;
        return r166813;
}

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 2019291 
(FPCore (x y z)
  :name "Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1"
  :precision binary64
  (+ (+ (/ x 2) (* y x)) z))