Average Error: 0.1 → 0.1
Time: 21.1s
Precision: 64
\[x \cdot \left(\left(\left(\left(y + z\right) + z\right) + y\right) + t\right) + y \cdot 5.0\]
↓
\[\left(\left(\left(z + y\right) + \left(z + y\right)\right) + t\right) \cdot x + y \cdot 5.0\]
x \cdot \left(\left(\left(\left(y + z\right) + z\right) + y\right) + t\right) + y \cdot 5.0
↓
\left(\left(\left(z + y\right) + \left(z + y\right)\right) + t\right) \cdot x + y \cdot 5.0
double f(double x, double y, double z, double t) {
        double r10409877 = x;
        double r10409878 = y;
        double r10409879 = z;
        double r10409880 = r10409878 + r10409879;
        double r10409881 = r10409880 + r10409879;
        double r10409882 = r10409881 + r10409878;
        double r10409883 = t;
        double r10409884 = r10409882 + r10409883;
        double r10409885 = r10409877 * r10409884;
        double r10409886 = 5.0;
        double r10409887 = r10409878 * r10409886;
        double r10409888 = r10409885 + r10409887;
        return r10409888;
}
↓
double f(double x, double y, double z, double t) {
        double r10409889 = z;
        double r10409890 = y;
        double r10409891 = r10409889 + r10409890;
        double r10409892 = r10409891 + r10409891;
        double r10409893 = t;
        double r10409894 = r10409892 + r10409893;
        double r10409895 = x;
        double r10409896 = r10409894 * r10409895;
        double r10409897 = 5.0;
        double r10409898 = r10409890 * r10409897;
        double r10409899 = r10409896 + r10409898;
        return r10409899;
}

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

    \[x \cdot \left(\left(\left(\left(y + z\right) + z\right) + y\right) + t\right) + y \cdot 5.0\]

  2. Simplified0.1

    \[\leadsto \color{blue}{y \cdot 5.0 + \left(\left(\left(y + z\right) + \left(y + z\right)\right) + t\right) \cdot x}\]

  3. Final simplification0.1

    \[\leadsto \left(\left(\left(z + y\right) + \left(z + y\right)\right) + t\right) \cdot x + y \cdot 5.0\]

Reproduce

herbie shell --seed 2019163 
(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)))