Average Error: 0.1 → 0.1
Time: 40.7s
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 r9534533 = x;
        double r9534534 = y;
        double r9534535 = z;
        double r9534536 = r9534534 + r9534535;
        double r9534537 = r9534536 + r9534535;
        double r9534538 = r9534537 + r9534534;
        double r9534539 = t;
        double r9534540 = r9534538 + r9534539;
        double r9534541 = r9534533 * r9534540;
        double r9534542 = 5.0;
        double r9534543 = r9534534 * r9534542;
        double r9534544 = r9534541 + r9534543;
        return r9534544;
}
↓
double f(double x, double y, double z, double t) {
        double r9534545 = z;
        double r9534546 = y;
        double r9534547 = r9534545 + r9534546;
        double r9534548 = r9534547 + r9534547;
        double r9534549 = t;
        double r9534550 = r9534548 + r9534549;
        double r9534551 = x;
        double r9534552 = r9534550 * r9534551;
        double r9534553 = 5.0;
        double r9534554 = r9534546 * r9534553;
        double r9534555 = r9534552 + r9534554;
        return r9534555;
}

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)))