Average Error: 0.1 → 0.1
Time: 6.0s
Precision: 64
\[\left(\left(\left(\left(x + y\right) + y\right) + x\right) + z\right) + x\]
↓
\[2 \cdot \left(x + y\right) + \left(x + z\right)\]
\left(\left(\left(\left(x + y\right) + y\right) + x\right) + z\right) + x
↓
2 \cdot \left(x + y\right) + \left(x + z\right)
double f(double x, double y, double z) {
        double r229746 = x;
        double r229747 = y;
        double r229748 = r229746 + r229747;
        double r229749 = r229748 + r229747;
        double r229750 = r229749 + r229746;
        double r229751 = z;
        double r229752 = r229750 + r229751;
        double r229753 = r229752 + r229746;
        return r229753;
}
↓
double f(double x, double y, double z) {
        double r229754 = 2.0;
        double r229755 = x;
        double r229756 = y;
        double r229757 = r229755 + r229756;
        double r229758 = r229754 * r229757;
        double r229759 = z;
        double r229760 = r229755 + r229759;
        double r229761 = r229758 + r229760;
        return r229761;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[\left(\left(\left(\left(x + y\right) + y\right) + x\right) + z\right) + x\]

  2. Simplified0.1

    \[\leadsto \color{blue}{2 \cdot \left(x + y\right) + \left(x + z\right)}\]

  3. Final simplification0.1

    \[\leadsto 2 \cdot \left(x + y\right) + \left(x + z\right)\]

Reproduce

herbie shell --seed 2020036 
(FPCore (x y z)
  :name "Graphics.Rendering.Plot.Render.Plot.Legend:renderLegendInside from plot-0.2.3.4"
  :precision binary64
  (+ (+ (+ (+ (+ x y) y) x) z) x))