Average Error: 0.1 → 0.1
Time: 31.9s
Precision: 64
\[x \cdot \left(y + z\right) + z \cdot 5.0\]
↓
\[x \cdot y + z \cdot \left(x + 5.0\right)\]
x \cdot \left(y + z\right) + z \cdot 5.0
↓
x \cdot y + z \cdot \left(x + 5.0\right)
double f(double x, double y, double z) {
        double r27953815 = x;
        double r27953816 = y;
        double r27953817 = z;
        double r27953818 = r27953816 + r27953817;
        double r27953819 = r27953815 * r27953818;
        double r27953820 = 5.0;
        double r27953821 = r27953817 * r27953820;
        double r27953822 = r27953819 + r27953821;
        return r27953822;
}
↓
double f(double x, double y, double z) {
        double r27953823 = x;
        double r27953824 = y;
        double r27953825 = r27953823 * r27953824;
        double r27953826 = z;
        double r27953827 = 5.0;
        double r27953828 = r27953823 + r27953827;
        double r27953829 = r27953826 * r27953828;
        double r27953830 = r27953825 + r27953829;
        return r27953830;
}

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
\[\left(x + 5.0\right) \cdot z + x \cdot y\]

Derivation

  1. Initial program 0.1

    \[x \cdot \left(y + z\right) + z \cdot 5.0\]
  2. Using strategy rm

  3. Applied distribute-lft-in0.1

    \[\leadsto \color{blue}{\left(x \cdot y + x \cdot z\right)} + z \cdot 5.0\]

  4. Applied associate-+l+0.1

    \[\leadsto \color{blue}{x \cdot y + \left(x \cdot z + z \cdot 5.0\right)}\]

  5. Simplified0.1

    \[\leadsto x \cdot y + \color{blue}{z \cdot \left(5.0 + x\right)}\]

  6. Final simplification0.1

    \[\leadsto x \cdot y + z \cdot \left(x + 5.0\right)\]

Reproduce

herbie shell --seed 2019162 
(FPCore (x y z)
  :name "Graphics.Rendering.Plot.Render.Plot.Legend:renderLegendOutside from plot-0.2.3.4, C"

  :herbie-target
  (+ (* (+ x 5.0) z) (* x y))

  (+ (* x (+ y z)) (* z 5.0)))