Average Error: 0.0 → 0.0
Time: 1.3s
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 r243799 = x;
        double r243800 = 2.0;
        double r243801 = r243799 / r243800;
        double r243802 = y;
        double r243803 = r243802 * r243799;
        double r243804 = r243801 + r243803;
        double r243805 = z;
        double r243806 = r243804 + r243805;
        return r243806;
}
↓
double f(double x, double y, double z) {
        double r243807 = x;
        double r243808 = 2.0;
        double r243809 = r243807 / r243808;
        double r243810 = y;
        double r243811 = r243810 * r243807;
        double r243812 = r243809 + r243811;
        double r243813 = z;
        double r243814 = r243812 + r243813;
        return r243814;
}

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 2019322 
(FPCore (x y z)
  :name "Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1"
  :precision binary64
  (+ (+ (/ x 2) (* y x)) z))