Average Error: 0.0 → 0.0
Time: 1.1s
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 r175470 = x;
        double r175471 = 2.0;
        double r175472 = r175470 / r175471;
        double r175473 = y;
        double r175474 = r175473 * r175470;
        double r175475 = r175472 + r175474;
        double r175476 = z;
        double r175477 = r175475 + r175476;
        return r175477;
}
↓
double f(double x, double y, double z) {
        double r175478 = x;
        double r175479 = 2.0;
        double r175480 = r175478 / r175479;
        double r175481 = y;
        double r175482 = r175481 * r175478;
        double r175483 = r175480 + r175482;
        double r175484 = z;
        double r175485 = r175483 + r175484;
        return r175485;
}

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 2019212 
(FPCore (x y z)
  :name "Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1"
  :precision binary64
  (+ (+ (/ x 2) (* y x)) z))