Average Error: 0.0 → 0.0
Time: 19.8s
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 r49086376 = x;
        double r49086377 = 2.0;
        double r49086378 = r49086376 / r49086377;
        double r49086379 = y;
        double r49086380 = r49086379 * r49086376;
        double r49086381 = r49086378 + r49086380;
        double r49086382 = z;
        double r49086383 = r49086381 + r49086382;
        return r49086383;
}
↓
double f(double x, double y, double z) {
        double r49086384 = x;
        double r49086385 = 2.0;
        double r49086386 = r49086384 / r49086385;
        double r49086387 = y;
        double r49086388 = r49086387 * r49086384;
        double r49086389 = r49086386 + r49086388;
        double r49086390 = z;
        double r49086391 = r49086389 + r49086390;
        return r49086391;
}

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 2019173 
(FPCore (x y z)
  :name "Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1"
  (+ (+ (/ x 2.0) (* y x)) z))