Average Error: 0.0 → 0.0
Time: 2.9s
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 r11420703 = x;
        double r11420704 = 2.0;
        double r11420705 = r11420703 / r11420704;
        double r11420706 = y;
        double r11420707 = r11420706 * r11420703;
        double r11420708 = r11420705 + r11420707;
        double r11420709 = z;
        double r11420710 = r11420708 + r11420709;
        return r11420710;
}
↓
double f(double x, double y, double z) {
        double r11420711 = x;
        double r11420712 = 2.0;
        double r11420713 = r11420711 / r11420712;
        double r11420714 = y;
        double r11420715 = r11420714 * r11420711;
        double r11420716 = r11420713 + r11420715;
        double r11420717 = z;
        double r11420718 = r11420716 + r11420717;
        return r11420718;
}

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 2019192 
(FPCore (x y z)
  :name "Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1"
  (+ (+ (/ x 2.0) (* y x)) z))