Average Error: 0.1 → 0.1
Time: 13.6s
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 r156311 = x;
        double r156312 = y;
        double r156313 = z;
        double r156314 = r156312 + r156313;
        double r156315 = r156314 + r156313;
        double r156316 = r156315 + r156312;
        double r156317 = t;
        double r156318 = r156316 + r156317;
        double r156319 = r156311 * r156318;
        double r156320 = 5.0;
        double r156321 = r156312 * r156320;
        double r156322 = r156319 + r156321;
        return r156322;
}
↓
double f(double x, double y, double z, double t) {
        double r156323 = x;
        double r156324 = y;
        double r156325 = z;
        double r156326 = r156324 + r156325;
        double r156327 = r156326 + r156325;
        double r156328 = r156327 + r156324;
        double r156329 = t;
        double r156330 = r156328 + r156329;
        double r156331 = r156323 * r156330;
        double r156332 = 5.0;
        double r156333 = r156324 * r156332;
        double r156334 = r156331 + r156333;
        return r156334;
}

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 2020036 
(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)))