Average Error: 0.1 → 0.1
Time: 28.8s
Precision: 64
\[x \cdot \left(\left(\left(\left(y + z\right) + z\right) + y\right) + t\right) + y \cdot 5\]
↓
\[x \cdot \left(\left(\left(\left(y + z\right) + z\right) + y\right) + t\right) + y \cdot 5\]
x \cdot \left(\left(\left(\left(y + z\right) + z\right) + y\right) + t\right) + y \cdot 5
↓
x \cdot \left(\left(\left(\left(y + z\right) + z\right) + y\right) + t\right) + y \cdot 5
double f(double x, double y, double z, double t) {
        double r144538 = x;
        double r144539 = y;
        double r144540 = z;
        double r144541 = r144539 + r144540;
        double r144542 = r144541 + r144540;
        double r144543 = r144542 + r144539;
        double r144544 = t;
        double r144545 = r144543 + r144544;
        double r144546 = r144538 * r144545;
        double r144547 = 5.0;
        double r144548 = r144539 * r144547;
        double r144549 = r144546 + r144548;
        return r144549;
}
↓
double f(double x, double y, double z, double t) {
        double r144550 = x;
        double r144551 = y;
        double r144552 = z;
        double r144553 = r144551 + r144552;
        double r144554 = r144553 + r144552;
        double r144555 = r144554 + r144551;
        double r144556 = t;
        double r144557 = r144555 + r144556;
        double r144558 = r144550 * r144557;
        double r144559 = 5.0;
        double r144560 = r144551 * r144559;
        double r144561 = r144558 + r144560;
        return r144561;
}

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

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

Reproduce

herbie shell --seed 2019325 
(FPCore (x y z t)
  :name "Graphics.Rendering.Plot.Render.Plot.Legend:renderLegendOutside from plot-0.2.3.4, B"
  :precision binary64
  (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5)))