Average Error: 0.0 → 0.0
Time: 975.0ms
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 r316266 = x;
        double r316267 = 2.0;
        double r316268 = r316266 / r316267;
        double r316269 = y;
        double r316270 = r316269 * r316266;
        double r316271 = r316268 + r316270;
        double r316272 = z;
        double r316273 = r316271 + r316272;
        return r316273;
}
↓
double f(double x, double y, double z) {
        double r316274 = x;
        double r316275 = 2.0;
        double r316276 = r316274 / r316275;
        double r316277 = y;
        double r316278 = r316277 * r316274;
        double r316279 = r316276 + r316278;
        double r316280 = z;
        double r316281 = r316279 + r316280;
        return r316281;
}

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 2020021 
(FPCore (x y z)
  :name "Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1"
  :precision binary64
  (+ (+ (/ x 2) (* y x)) z))