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 r113594 = x;
        double r113595 = y;
        double r113596 = z;
        double r113597 = r113595 + r113596;
        double r113598 = r113597 + r113596;
        double r113599 = r113598 + r113595;
        double r113600 = t;
        double r113601 = r113599 + r113600;
        double r113602 = r113594 * r113601;
        double r113603 = 5.0;
        double r113604 = r113595 * r113603;
        double r113605 = r113602 + r113604;
        return r113605;
}
↓
double f(double x, double y, double z, double t) {
        double r113606 = x;
        double r113607 = y;
        double r113608 = z;
        double r113609 = r113607 + r113608;
        double r113610 = r113609 + r113608;
        double r113611 = r113610 + r113607;
        double r113612 = t;
        double r113613 = r113611 + r113612;
        double r113614 = r113606 * r113613;
        double r113615 = 5.0;
        double r113616 = r113607 * r113615;
        double r113617 = r113614 + r113616;
        return r113617;
}

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)))