Average Error: 0.1 → 0.1
Time: 3.5s
Precision: 64
\[x \cdot \left(y + z\right) + z \cdot 5\]
↓
\[\left(x \cdot y + x \cdot z\right) + z \cdot 5\]
x \cdot \left(y + z\right) + z \cdot 5
↓
\left(x \cdot y + x \cdot z\right) + z \cdot 5
double f(double x, double y, double z) {
        double r510696 = x;
        double r510697 = y;
        double r510698 = z;
        double r510699 = r510697 + r510698;
        double r510700 = r510696 * r510699;
        double r510701 = 5.0;
        double r510702 = r510698 * r510701;
        double r510703 = r510700 + r510702;
        return r510703;
}
↓
double f(double x, double y, double z) {
        double r510704 = x;
        double r510705 = y;
        double r510706 = r510704 * r510705;
        double r510707 = z;
        double r510708 = r510704 * r510707;
        double r510709 = r510706 + r510708;
        double r510710 = 5.0;
        double r510711 = r510707 * r510710;
        double r510712 = r510709 + r510711;
        return r510712;
}

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

Target

Original0.1
Target0.1
Herbie0.1
\[\left(x + 5\right) \cdot z + x \cdot y\]

Derivation

  1. Initial program 0.1

    \[x \cdot \left(y + z\right) + z \cdot 5\]
  2. Using strategy rm

  3. Applied distribute-lft-in0.1

    \[\leadsto \color{blue}{\left(x \cdot y + x \cdot z\right)} + z \cdot 5\]

  4. Final simplification0.1

    \[\leadsto \left(x \cdot y + x \cdot z\right) + z \cdot 5\]

Reproduce

herbie shell --seed 2019356 
(FPCore (x y z)
  :name "Graphics.Rendering.Plot.Render.Plot.Legend:renderLegendOutside from plot-0.2.3.4, C"
  :precision binary64

  :herbie-target
  (+ (* (+ x 5) z) (* x y))

  (+ (* x (+ y z)) (* z 5)))