Average Error: 0.0 → 0.0
Time: 6.1s
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 r152744 = x;
        double r152745 = 2.0;
        double r152746 = r152744 / r152745;
        double r152747 = y;
        double r152748 = r152747 * r152744;
        double r152749 = r152746 + r152748;
        double r152750 = z;
        double r152751 = r152749 + r152750;
        return r152751;
}
↓
double f(double x, double y, double z) {
        double r152752 = x;
        double r152753 = 2.0;
        double r152754 = r152752 / r152753;
        double r152755 = y;
        double r152756 = r152755 * r152752;
        double r152757 = r152754 + r152756;
        double r152758 = z;
        double r152759 = r152757 + r152758;
        return r152759;
}

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 2019199 
(FPCore (x y z)
  :name "Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1"
  (+ (+ (/ x 2.0) (* y x)) z))