Average Error: 0.1 → 0.1
Time: 44.9s
Precision: 64
\[x \cdot \left(\left(\left(\left(y + z\right) + z\right) + y\right) + t\right) + y \cdot 5\]
↓
\[\left(\left(\left(z + y\right) + \left(z + y\right)\right) + t\right) \cdot x + y \cdot 5\]
x \cdot \left(\left(\left(\left(y + z\right) + z\right) + y\right) + t\right) + y \cdot 5
↓
\left(\left(\left(z + y\right) + \left(z + y\right)\right) + t\right) \cdot x + y \cdot 5
double f(double x, double y, double z, double t) {
        double r6172289 = x;
        double r6172290 = y;
        double r6172291 = z;
        double r6172292 = r6172290 + r6172291;
        double r6172293 = r6172292 + r6172291;
        double r6172294 = r6172293 + r6172290;
        double r6172295 = t;
        double r6172296 = r6172294 + r6172295;
        double r6172297 = r6172289 * r6172296;
        double r6172298 = 5.0;
        double r6172299 = r6172290 * r6172298;
        double r6172300 = r6172297 + r6172299;
        return r6172300;
}
↓
double f(double x, double y, double z, double t) {
        double r6172301 = z;
        double r6172302 = y;
        double r6172303 = r6172301 + r6172302;
        double r6172304 = r6172303 + r6172303;
        double r6172305 = t;
        double r6172306 = r6172304 + r6172305;
        double r6172307 = x;
        double r6172308 = r6172306 * r6172307;
        double r6172309 = 5.0;
        double r6172310 = r6172302 * r6172309;
        double r6172311 = r6172308 + r6172310;
        return r6172311;
}

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. Simplified0.1

    \[\leadsto \color{blue}{y \cdot 5 + \left(\left(\left(y + z\right) + \left(y + z\right)\right) + t\right) \cdot x}\]

  3. Final simplification0.1

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

Reproduce

herbie shell --seed 2019172 
(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)))