Average Error: 0.0 → 0.0
Time: 5.9s
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 r217874 = x;
        double r217875 = 2.0;
        double r217876 = r217874 / r217875;
        double r217877 = y;
        double r217878 = r217877 * r217874;
        double r217879 = r217876 + r217878;
        double r217880 = z;
        double r217881 = r217879 + r217880;
        return r217881;
}
↓
double f(double x, double y, double z) {
        double r217882 = x;
        double r217883 = 2.0;
        double r217884 = r217882 / r217883;
        double r217885 = y;
        double r217886 = r217885 * r217882;
        double r217887 = r217884 + r217886;
        double r217888 = z;
        double r217889 = r217887 + r217888;
        return r217889;
}

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 2019194 
(FPCore (x y z)
  :name "Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1"
  (+ (+ (/ x 2.0) (* y x)) z))