Average Error: 0.0 → 0.0
Time: 7.8s
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 r186011 = x;
        double r186012 = 2.0;
        double r186013 = r186011 / r186012;
        double r186014 = y;
        double r186015 = r186014 * r186011;
        double r186016 = r186013 + r186015;
        double r186017 = z;
        double r186018 = r186016 + r186017;
        return r186018;
}
↓
double f(double x, double y, double z) {
        double r186019 = x;
        double r186020 = 2.0;
        double r186021 = r186019 / r186020;
        double r186022 = y;
        double r186023 = r186022 * r186019;
        double r186024 = r186021 + r186023;
        double r186025 = z;
        double r186026 = r186024 + r186025;
        return r186026;
}

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 2019304 
(FPCore (x y z)
  :name "Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1"
  :precision binary64
  (+ (+ (/ x 2) (* y x)) z))