Average Error: 0.0 → 0.0
Time: 507.0ms
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 r195293 = x;
        double r195294 = 2.0;
        double r195295 = r195293 / r195294;
        double r195296 = y;
        double r195297 = r195296 * r195293;
        double r195298 = r195295 + r195297;
        double r195299 = z;
        double r195300 = r195298 + r195299;
        return r195300;
}
↓
double f(double x, double y, double z) {
        double r195301 = x;
        double r195302 = 2.0;
        double r195303 = r195301 / r195302;
        double r195304 = y;
        double r195305 = r195304 * r195301;
        double r195306 = r195303 + r195305;
        double r195307 = z;
        double r195308 = r195306 + r195307;
        return r195308;
}

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 2020027 
(FPCore (x y z)
  :name "Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1"
  :precision binary64
  (+ (+ (/ x 2) (* y x)) z))