Average Error: 0.0 → 0.0
Time: 6.0s
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 r166005 = x;
        double r166006 = 2.0;
        double r166007 = r166005 / r166006;
        double r166008 = y;
        double r166009 = r166008 * r166005;
        double r166010 = r166007 + r166009;
        double r166011 = z;
        double r166012 = r166010 + r166011;
        return r166012;
}
↓
double f(double x, double y, double z) {
        double r166013 = x;
        double r166014 = 2.0;
        double r166015 = r166013 / r166014;
        double r166016 = y;
        double r166017 = r166016 * r166013;
        double r166018 = r166015 + r166017;
        double r166019 = z;
        double r166020 = r166018 + r166019;
        return r166020;
}

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 2019305 
(FPCore (x y z)
  :name "Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1"
  :precision binary64
  (+ (+ (/ x 2) (* y x)) z))