Average Error: 0.0 → 0.0
Time: 3.1s
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 r285924 = x;
        double r285925 = 2.0;
        double r285926 = r285924 / r285925;
        double r285927 = y;
        double r285928 = r285927 * r285924;
        double r285929 = r285926 + r285928;
        double r285930 = z;
        double r285931 = r285929 + r285930;
        return r285931;
}
↓
double f(double x, double y, double z) {
        double r285932 = x;
        double r285933 = 2.0;
        double r285934 = r285932 / r285933;
        double r285935 = y;
        double r285936 = r285935 * r285932;
        double r285937 = r285934 + r285936;
        double r285938 = z;
        double r285939 = r285937 + r285938;
        return r285939;
}

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 2020089 
(FPCore (x y z)
  :name "Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1"
  :precision binary64
  (+ (+ (/ x 2) (* y x)) z))