Average Error: 0.1 → 0.1
Time: 40.4s
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 r8831055 = x;
        double r8831056 = y;
        double r8831057 = z;
        double r8831058 = r8831056 + r8831057;
        double r8831059 = r8831058 + r8831057;
        double r8831060 = r8831059 + r8831056;
        double r8831061 = t;
        double r8831062 = r8831060 + r8831061;
        double r8831063 = r8831055 * r8831062;
        double r8831064 = 5.0;
        double r8831065 = r8831056 * r8831064;
        double r8831066 = r8831063 + r8831065;
        return r8831066;
}
↓
double f(double x, double y, double z, double t) {
        double r8831067 = z;
        double r8831068 = y;
        double r8831069 = r8831067 + r8831068;
        double r8831070 = r8831069 + r8831069;
        double r8831071 = t;
        double r8831072 = r8831070 + r8831071;
        double r8831073 = x;
        double r8831074 = r8831072 * r8831073;
        double r8831075 = 5.0;
        double r8831076 = r8831068 * r8831075;
        double r8831077 = r8831074 + r8831076;
        return r8831077;
}

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)))