Average Error: 0.1 → 0.1
Time: 27.5s
Precision: 64
\[x \cdot \left(\left(\left(\left(y + z\right) + z\right) + y\right) + t\right) + y \cdot 5\]
↓
\[y \cdot 5 + \left(\left(y + \left(\left(y + z\right) + z\right)\right) + t\right) \cdot x\]
x \cdot \left(\left(\left(\left(y + z\right) + z\right) + y\right) + t\right) + y \cdot 5
↓
y \cdot 5 + \left(\left(y + \left(\left(y + z\right) + z\right)\right) + t\right) \cdot x
double f(double x, double y, double z, double t) {
        double r144874 = x;
        double r144875 = y;
        double r144876 = z;
        double r144877 = r144875 + r144876;
        double r144878 = r144877 + r144876;
        double r144879 = r144878 + r144875;
        double r144880 = t;
        double r144881 = r144879 + r144880;
        double r144882 = r144874 * r144881;
        double r144883 = 5.0;
        double r144884 = r144875 * r144883;
        double r144885 = r144882 + r144884;
        return r144885;
}
↓
double f(double x, double y, double z, double t) {
        double r144886 = y;
        double r144887 = 5.0;
        double r144888 = r144886 * r144887;
        double r144889 = z;
        double r144890 = r144886 + r144889;
        double r144891 = r144890 + r144889;
        double r144892 = r144886 + r144891;
        double r144893 = t;
        double r144894 = r144892 + r144893;
        double r144895 = x;
        double r144896 = r144894 * r144895;
        double r144897 = r144888 + r144896;
        return r144897;
}

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

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

Reproduce

herbie shell --seed 2019194 
(FPCore (x y z t)
  :name "Graphics.Rendering.Plot.Render.Plot.Legend:renderLegendOutside from plot-0.2.3.4, B"
  (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))