Average Error: 0.1 → 0.1
Time: 3.3s
Precision: 64
\[x \cdot \left(\left(\left(\left(y + z\right) + z\right) + y\right) + t\right) + y \cdot 5\]
↓
\[x \cdot \left(\left(\left(\left(y + z\right) + z\right) + y\right) + t\right) + y \cdot 5\]
x \cdot \left(\left(\left(\left(y + z\right) + z\right) + y\right) + t\right) + y \cdot 5
↓
x \cdot \left(\left(\left(\left(y + z\right) + z\right) + y\right) + t\right) + y \cdot 5
double f(double x, double y, double z, double t) {
        double r153915 = x;
        double r153916 = y;
        double r153917 = z;
        double r153918 = r153916 + r153917;
        double r153919 = r153918 + r153917;
        double r153920 = r153919 + r153916;
        double r153921 = t;
        double r153922 = r153920 + r153921;
        double r153923 = r153915 * r153922;
        double r153924 = 5.0;
        double r153925 = r153916 * r153924;
        double r153926 = r153923 + r153925;
        return r153926;
}
↓
double f(double x, double y, double z, double t) {
        double r153927 = x;
        double r153928 = y;
        double r153929 = z;
        double r153930 = r153928 + r153929;
        double r153931 = r153930 + r153929;
        double r153932 = r153931 + r153928;
        double r153933 = t;
        double r153934 = r153932 + r153933;
        double r153935 = r153927 * r153934;
        double r153936 = 5.0;
        double r153937 = r153928 * r153936;
        double r153938 = r153935 + r153937;
        return r153938;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

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

  2. Final simplification0.1

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

Reproduce

herbie shell --seed 2020060 
(FPCore (x y z t)
  :name "Graphics.Rendering.Plot.Render.Plot.Legend:renderLegendOutside from plot-0.2.3.4, B"
  :precision binary64
  (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5)))