Average Error: 0.0 → 0.0
Time: 5.6s
Precision: 64
\[\left(\frac{x}{2.0} + y \cdot x\right) + z\]
↓
\[\left(\frac{x}{2.0} + y \cdot x\right) + z\]
\left(\frac{x}{2.0} + y \cdot x\right) + z
↓
\left(\frac{x}{2.0} + y \cdot x\right) + z
double f(double x, double y, double z) {
        double r10815520 = x;
        double r10815521 = 2.0;
        double r10815522 = r10815520 / r10815521;
        double r10815523 = y;
        double r10815524 = r10815523 * r10815520;
        double r10815525 = r10815522 + r10815524;
        double r10815526 = z;
        double r10815527 = r10815525 + r10815526;
        return r10815527;
}
↓
double f(double x, double y, double z) {
        double r10815528 = x;
        double r10815529 = 2.0;
        double r10815530 = r10815528 / r10815529;
        double r10815531 = y;
        double r10815532 = r10815531 * r10815528;
        double r10815533 = r10815530 + r10815532;
        double r10815534 = z;
        double r10815535 = r10815533 + r10815534;
        return r10815535;
}

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

    \[\left(\frac{x}{2.0} + y \cdot x\right) + z\]

  2. Final simplification0.0

    \[\leadsto \left(\frac{x}{2.0} + y \cdot x\right) + z\]

Reproduce

herbie shell --seed 2019162 
(FPCore (x y z)
  :name "Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1"
  (+ (+ (/ x 2.0) (* y x)) z))