Average Error: 0.1 → 0.1
Time: 29.5s
Precision: 64
\[x \cdot \left(\left(\left(\left(y + z\right) + z\right) + y\right) + t\right) + y \cdot 5\]
↓
\[y \cdot 5 + \left(\left(y + \left(\left(y + z\right) + z\right)\right) + t\right) \cdot x\]
x \cdot \left(\left(\left(\left(y + z\right) + z\right) + y\right) + t\right) + y \cdot 5
↓
y \cdot 5 + \left(\left(y + \left(\left(y + z\right) + z\right)\right) + t\right) \cdot x
double f(double x, double y, double z, double t) {
        double r166426 = x;
        double r166427 = y;
        double r166428 = z;
        double r166429 = r166427 + r166428;
        double r166430 = r166429 + r166428;
        double r166431 = r166430 + r166427;
        double r166432 = t;
        double r166433 = r166431 + r166432;
        double r166434 = r166426 * r166433;
        double r166435 = 5.0;
        double r166436 = r166427 * r166435;
        double r166437 = r166434 + r166436;
        return r166437;
}
↓
double f(double x, double y, double z, double t) {
        double r166438 = y;
        double r166439 = 5.0;
        double r166440 = r166438 * r166439;
        double r166441 = z;
        double r166442 = r166438 + r166441;
        double r166443 = r166442 + r166441;
        double r166444 = r166438 + r166443;
        double r166445 = t;
        double r166446 = r166444 + r166445;
        double r166447 = x;
        double r166448 = r166446 * r166447;
        double r166449 = r166440 + r166448;
        return r166449;
}

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

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

Reproduce

herbie shell --seed 2019194 
(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)))