Average Error: 0.1 → 0.1
Time: 29.4s
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 r185058 = x;
        double r185059 = y;
        double r185060 = z;
        double r185061 = r185059 + r185060;
        double r185062 = r185061 + r185060;
        double r185063 = r185062 + r185059;
        double r185064 = t;
        double r185065 = r185063 + r185064;
        double r185066 = r185058 * r185065;
        double r185067 = 5.0;
        double r185068 = r185059 * r185067;
        double r185069 = r185066 + r185068;
        return r185069;
}
↓
double f(double x, double y, double z, double t) {
        double r185070 = x;
        double r185071 = y;
        double r185072 = z;
        double r185073 = r185071 + r185072;
        double r185074 = r185073 + r185072;
        double r185075 = r185074 + r185071;
        double r185076 = t;
        double r185077 = r185075 + r185076;
        double r185078 = r185070 * r185077;
        double r185079 = 5.0;
        double r185080 = r185071 * r185079;
        double r185081 = r185078 + r185080;
        return r185081;
}

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 2019306 
(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)))