Average Error: 0.0 → 0.0
Time: 927.0ms
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 r248208 = x;
        double r248209 = 2.0;
        double r248210 = r248208 / r248209;
        double r248211 = y;
        double r248212 = r248211 * r248208;
        double r248213 = r248210 + r248212;
        double r248214 = z;
        double r248215 = r248213 + r248214;
        return r248215;
}
↓
double f(double x, double y, double z) {
        double r248216 = x;
        double r248217 = 2.0;
        double r248218 = r248216 / r248217;
        double r248219 = y;
        double r248220 = r248219 * r248216;
        double r248221 = r248218 + r248220;
        double r248222 = z;
        double r248223 = r248221 + r248222;
        return r248223;
}

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 2019353 
(FPCore (x y z)
  :name "Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1"
  :precision binary64
  (+ (+ (/ x 2) (* y x)) z))