Average Error: 0.0 → 0.0
Time: 5.3s
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 r10073601 = x;
        double r10073602 = 2.0;
        double r10073603 = r10073601 / r10073602;
        double r10073604 = y;
        double r10073605 = r10073604 * r10073601;
        double r10073606 = r10073603 + r10073605;
        double r10073607 = z;
        double r10073608 = r10073606 + r10073607;
        return r10073608;
}
↓
double f(double x, double y, double z) {
        double r10073609 = x;
        double r10073610 = 2.0;
        double r10073611 = r10073609 / r10073610;
        double r10073612 = y;
        double r10073613 = r10073612 * r10073609;
        double r10073614 = r10073611 + r10073613;
        double r10073615 = z;
        double r10073616 = r10073614 + r10073615;
        return r10073616;
}

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))