Average Error: 0.1 → 0.1
Time: 11.5s
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 r193567 = x;
        double r193568 = y;
        double r193569 = z;
        double r193570 = r193568 + r193569;
        double r193571 = r193570 + r193569;
        double r193572 = r193571 + r193568;
        double r193573 = t;
        double r193574 = r193572 + r193573;
        double r193575 = r193567 * r193574;
        double r193576 = 5.0;
        double r193577 = r193568 * r193576;
        double r193578 = r193575 + r193577;
        return r193578;
}
↓
double f(double x, double y, double z, double t) {
        double r193579 = x;
        double r193580 = y;
        double r193581 = z;
        double r193582 = r193580 + r193581;
        double r193583 = r193582 + r193581;
        double r193584 = r193583 + r193580;
        double r193585 = t;
        double r193586 = r193584 + r193585;
        double r193587 = r193579 * r193586;
        double r193588 = 5.0;
        double r193589 = r193580 * r193588;
        double r193590 = r193587 + r193589;
        return r193590;
}

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 2020083 
(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)))