Average Error: 0.1 → 0.1
Time: 4.8s
Precision: 64
\[x \cdot \left(y + z\right) + z \cdot 5\]
↓
\[x \cdot \left(y + z\right) + z \cdot 5\]
x \cdot \left(y + z\right) + z \cdot 5
↓
x \cdot \left(y + z\right) + z \cdot 5
double f(double x, double y, double z) {
        double r556975 = x;
        double r556976 = y;
        double r556977 = z;
        double r556978 = r556976 + r556977;
        double r556979 = r556975 * r556978;
        double r556980 = 5.0;
        double r556981 = r556977 * r556980;
        double r556982 = r556979 + r556981;
        return r556982;
}
↓
double f(double x, double y, double z) {
        double r556983 = x;
        double r556984 = y;
        double r556985 = z;
        double r556986 = r556984 + r556985;
        double r556987 = r556983 * r556986;
        double r556988 = 5.0;
        double r556989 = r556985 * r556988;
        double r556990 = r556987 + r556989;
        return r556990;
}

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

Target

Original0.1
Target0.1
Herbie0.1
\[\left(x + 5\right) \cdot z + x \cdot y\]

Derivation

  1. Initial program 0.1

    \[x \cdot \left(y + z\right) + z \cdot 5\]

  2. Final simplification0.1

    \[\leadsto x \cdot \left(y + z\right) + z \cdot 5\]

Reproduce

herbie shell --seed 2020081 +o rules:numerics
(FPCore (x y z)
  :name "Graphics.Rendering.Plot.Render.Plot.Legend:renderLegendOutside from plot-0.2.3.4, C"
  :precision binary64

  :herbie-target
  (+ (* (+ x 5) z) (* x y))

  (+ (* x (+ y z)) (* z 5)))