Average Error: 0.0 → 0.0
Time: 1.4s
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 r145167 = x;
        double r145168 = 2.0;
        double r145169 = r145167 / r145168;
        double r145170 = y;
        double r145171 = r145170 * r145167;
        double r145172 = r145169 + r145171;
        double r145173 = z;
        double r145174 = r145172 + r145173;
        return r145174;
}
↓
double f(double x, double y, double z) {
        double r145175 = x;
        double r145176 = 2.0;
        double r145177 = r145175 / r145176;
        double r145178 = y;
        double r145179 = r145178 * r145175;
        double r145180 = r145177 + r145179;
        double r145181 = z;
        double r145182 = r145180 + r145181;
        return r145182;
}

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 2019308 
(FPCore (x y z)
  :name "Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1"
  :precision binary64
  (+ (+ (/ x 2) (* y x)) z))