Average Error: 0.0 → 0.0
Time: 5.5s
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 r205185 = x;
        double r205186 = 2.0;
        double r205187 = r205185 / r205186;
        double r205188 = y;
        double r205189 = r205188 * r205185;
        double r205190 = r205187 + r205189;
        double r205191 = z;
        double r205192 = r205190 + r205191;
        return r205192;
}
↓
double f(double x, double y, double z) {
        double r205193 = x;
        double r205194 = 2.0;
        double r205195 = r205193 / r205194;
        double r205196 = y;
        double r205197 = r205196 * r205193;
        double r205198 = r205195 + r205197;
        double r205199 = z;
        double r205200 = r205198 + r205199;
        return r205200;
}

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 2019194 
(FPCore (x y z)
  :name "Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1"
  (+ (+ (/ x 2.0) (* y x)) z))