Average Error: 0.0 → 0.0
Time: 12.2s
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 r14072298 = x;
        double r14072299 = 2.0;
        double r14072300 = r14072298 / r14072299;
        double r14072301 = y;
        double r14072302 = r14072301 * r14072298;
        double r14072303 = r14072300 + r14072302;
        double r14072304 = z;
        double r14072305 = r14072303 + r14072304;
        return r14072305;
}
↓
double f(double x, double y, double z) {
        double r14072306 = x;
        double r14072307 = 2.0;
        double r14072308 = r14072306 / r14072307;
        double r14072309 = y;
        double r14072310 = r14072309 * r14072306;
        double r14072311 = r14072308 + r14072310;
        double r14072312 = z;
        double r14072313 = r14072311 + r14072312;
        return r14072313;
}

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 2019171 
(FPCore (x y z)
  :name "Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1"
  (+ (+ (/ x 2.0) (* y x)) z))