Average Error: 0.0 → 0.0
Time: 4.9s
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 r304671 = x;
        double r304672 = 2.0;
        double r304673 = r304671 / r304672;
        double r304674 = y;
        double r304675 = r304674 * r304671;
        double r304676 = r304673 + r304675;
        double r304677 = z;
        double r304678 = r304676 + r304677;
        return r304678;
}
↓
double f(double x, double y, double z) {
        double r304679 = x;
        double r304680 = 2.0;
        double r304681 = r304679 / r304680;
        double r304682 = y;
        double r304683 = r304682 * r304679;
        double r304684 = r304681 + r304683;
        double r304685 = z;
        double r304686 = r304684 + r304685;
        return r304686;
}

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 2020042 
(FPCore (x y z)
  :name "Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1"
  :precision binary64
  (+ (+ (/ x 2) (* y x)) z))