Average Error: 0.0 → 0.0
Time: 5.2s
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 r130756 = x;
        double r130757 = 2.0;
        double r130758 = r130756 / r130757;
        double r130759 = y;
        double r130760 = r130759 * r130756;
        double r130761 = r130758 + r130760;
        double r130762 = z;
        double r130763 = r130761 + r130762;
        return r130763;
}
↓
double f(double x, double y, double z) {
        double r130764 = x;
        double r130765 = 2.0;
        double r130766 = r130764 / r130765;
        double r130767 = y;
        double r130768 = r130767 * r130764;
        double r130769 = r130766 + r130768;
        double r130770 = z;
        double r130771 = r130769 + r130770;
        return r130771;
}

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))