Average Error: 0.0 → 0.0
Time: 6.7s
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 r293136 = x;
        double r293137 = 2.0;
        double r293138 = r293136 / r293137;
        double r293139 = y;
        double r293140 = r293139 * r293136;
        double r293141 = r293138 + r293140;
        double r293142 = z;
        double r293143 = r293141 + r293142;
        return r293143;
}
↓
double f(double x, double y, double z) {
        double r293144 = x;
        double r293145 = 2.0;
        double r293146 = r293144 / r293145;
        double r293147 = y;
        double r293148 = r293147 * r293144;
        double r293149 = r293146 + r293148;
        double r293150 = z;
        double r293151 = r293149 + r293150;
        return r293151;
}

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 2020045 
(FPCore (x y z)
  :name "Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1"
  :precision binary64
  (+ (+ (/ x 2) (* y x)) z))