Average Error: 0.1 → 0.1
Time: 29.9s
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 r109608 = x;
        double r109609 = y;
        double r109610 = z;
        double r109611 = r109609 + r109610;
        double r109612 = r109611 + r109610;
        double r109613 = r109612 + r109609;
        double r109614 = t;
        double r109615 = r109613 + r109614;
        double r109616 = r109608 * r109615;
        double r109617 = 5.0;
        double r109618 = r109609 * r109617;
        double r109619 = r109616 + r109618;
        return r109619;
}
↓
double f(double x, double y, double z, double t) {
        double r109620 = x;
        double r109621 = y;
        double r109622 = z;
        double r109623 = r109621 + r109622;
        double r109624 = r109623 + r109622;
        double r109625 = r109624 + r109621;
        double r109626 = t;
        double r109627 = r109625 + r109626;
        double r109628 = r109620 * r109627;
        double r109629 = 5.0;
        double r109630 = r109621 * r109629;
        double r109631 = r109628 + r109630;
        return r109631;
}

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 2019323 
(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)))