Average Error: 0.0 → 0.0
Time: 5.0s
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 r56348 = x;
        double r56349 = 2.0;
        double r56350 = r56348 / r56349;
        double r56351 = y;
        double r56352 = r56351 * r56348;
        double r56353 = r56350 + r56352;
        double r56354 = z;
        double r56355 = r56353 + r56354;
        return r56355;
}
↓
double f(double x, double y, double z) {
        double r56356 = x;
        double r56357 = 2.0;
        double r56358 = r56356 / r56357;
        double r56359 = y;
        double r56360 = r56359 * r56356;
        double r56361 = r56358 + r56360;
        double r56362 = z;
        double r56363 = r56361 + r56362;
        return r56363;
}

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 2020045 
(FPCore (x y z)
  :name "Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1"
  :precision binary64
  (+ (+ (/ x 2) (* y x)) z))