Average Error: 0.0 → 0.0
Time: 5.2s
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 r126504 = x;
        double r126505 = 2.0;
        double r126506 = r126504 / r126505;
        double r126507 = y;
        double r126508 = r126507 * r126504;
        double r126509 = r126506 + r126508;
        double r126510 = z;
        double r126511 = r126509 + r126510;
        return r126511;
}
↓
double f(double x, double y, double z) {
        double r126512 = x;
        double r126513 = 2.0;
        double r126514 = r126512 / r126513;
        double r126515 = y;
        double r126516 = r126515 * r126512;
        double r126517 = r126514 + r126516;
        double r126518 = z;
        double r126519 = r126517 + r126518;
        return r126519;
}

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 2019326 
(FPCore (x y z)
  :name "Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1"
  :precision binary64
  (+ (+ (/ x 2) (* y x)) z))