Average Error: 0.1 → 0.1
Time: 42.0s
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 r6666974 = x;
        double r6666975 = y;
        double r6666976 = z;
        double r6666977 = r6666975 + r6666976;
        double r6666978 = r6666977 + r6666976;
        double r6666979 = r6666978 + r6666975;
        double r6666980 = t;
        double r6666981 = r6666979 + r6666980;
        double r6666982 = r6666974 * r6666981;
        double r6666983 = 5.0;
        double r6666984 = r6666975 * r6666983;
        double r6666985 = r6666982 + r6666984;
        return r6666985;
}
↓
double f(double x, double y, double z, double t) {
        double r6666986 = z;
        double r6666987 = y;
        double r6666988 = r6666986 + r6666987;
        double r6666989 = r6666988 + r6666988;
        double r6666990 = t;
        double r6666991 = r6666989 + r6666990;
        double r6666992 = x;
        double r6666993 = r6666991 * r6666992;
        double r6666994 = 5.0;
        double r6666995 = r6666987 * r6666994;
        double r6666996 = r6666993 + r6666995;
        return r6666996;
}

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 2019164 
(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)))