Average Error: 0.1 → 0.1
Time: 47.0s
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 r7138269 = x;
        double r7138270 = y;
        double r7138271 = z;
        double r7138272 = r7138270 + r7138271;
        double r7138273 = r7138272 + r7138271;
        double r7138274 = r7138273 + r7138270;
        double r7138275 = t;
        double r7138276 = r7138274 + r7138275;
        double r7138277 = r7138269 * r7138276;
        double r7138278 = 5.0;
        double r7138279 = r7138270 * r7138278;
        double r7138280 = r7138277 + r7138279;
        return r7138280;
}
↓
double f(double x, double y, double z, double t) {
        double r7138281 = z;
        double r7138282 = y;
        double r7138283 = r7138281 + r7138282;
        double r7138284 = r7138283 + r7138283;
        double r7138285 = t;
        double r7138286 = r7138284 + r7138285;
        double r7138287 = x;
        double r7138288 = r7138286 * r7138287;
        double r7138289 = 5.0;
        double r7138290 = r7138282 * r7138289;
        double r7138291 = r7138288 + r7138290;
        return r7138291;
}

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 2019169 
(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)))