Average Error: 0.0 → 0.0
Time: 1.8s
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 r336793 = x;
        double r336794 = 2.0;
        double r336795 = r336793 / r336794;
        double r336796 = y;
        double r336797 = r336796 * r336793;
        double r336798 = r336795 + r336797;
        double r336799 = z;
        double r336800 = r336798 + r336799;
        return r336800;
}
↓
double f(double x, double y, double z) {
        double r336801 = x;
        double r336802 = 2.0;
        double r336803 = r336801 / r336802;
        double r336804 = y;
        double r336805 = r336804 * r336801;
        double r336806 = r336803 + r336805;
        double r336807 = z;
        double r336808 = r336806 + r336807;
        return r336808;
}

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 2020100 +o rules:numerics
(FPCore (x y z)
  :name "Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1"
  :precision binary64
  (+ (+ (/ x 2) (* y x)) z))