Average Error: 0.0 → 0.0
Time: 7.7s
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 r175134 = x;
        double r175135 = 2.0;
        double r175136 = r175134 / r175135;
        double r175137 = y;
        double r175138 = r175137 * r175134;
        double r175139 = r175136 + r175138;
        double r175140 = z;
        double r175141 = r175139 + r175140;
        return r175141;
}
↓
double f(double x, double y, double z) {
        double r175142 = x;
        double r175143 = 2.0;
        double r175144 = r175142 / r175143;
        double r175145 = y;
        double r175146 = r175145 * r175142;
        double r175147 = r175144 + r175146;
        double r175148 = z;
        double r175149 = r175147 + r175148;
        return r175149;
}

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 2019196 
(FPCore (x y z)
  :name "Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1"
  (+ (+ (/ x 2.0) (* y x)) z))