Average Error: 0.0 → 0.0
Time: 1.6s
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 r267438 = x;
        double r267439 = 2.0;
        double r267440 = r267438 / r267439;
        double r267441 = y;
        double r267442 = r267441 * r267438;
        double r267443 = r267440 + r267442;
        double r267444 = z;
        double r267445 = r267443 + r267444;
        return r267445;
}
↓
double f(double x, double y, double z) {
        double r267446 = x;
        double r267447 = 2.0;
        double r267448 = r267446 / r267447;
        double r267449 = y;
        double r267450 = r267449 * r267446;
        double r267451 = r267448 + r267450;
        double r267452 = z;
        double r267453 = r267451 + r267452;
        return r267453;
}

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 2020002 
(FPCore (x y z)
  :name "Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1"
  :precision binary64
  (+ (+ (/ x 2) (* y x)) z))