Average Error: 0.0 → 0.0
Time: 12.0s
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 r13652660 = x;
        double r13652661 = 2.0;
        double r13652662 = r13652660 / r13652661;
        double r13652663 = y;
        double r13652664 = r13652663 * r13652660;
        double r13652665 = r13652662 + r13652664;
        double r13652666 = z;
        double r13652667 = r13652665 + r13652666;
        return r13652667;
}
↓
double f(double x, double y, double z) {
        double r13652668 = x;
        double r13652669 = 2.0;
        double r13652670 = r13652668 / r13652669;
        double r13652671 = y;
        double r13652672 = r13652671 * r13652668;
        double r13652673 = r13652670 + r13652672;
        double r13652674 = z;
        double r13652675 = r13652673 + r13652674;
        return r13652675;
}

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 2019170 
(FPCore (x y z)
  :name "Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1"
  (+ (+ (/ x 2.0) (* y x)) z))