Average Error: 0.1 → 0.1
Time: 37.4s
Precision: 64
\[x \cdot \left(y + z\right) + z \cdot 5\]
↓
\[y \cdot x + z \cdot \left(x + 5\right)\]
x \cdot \left(y + z\right) + z \cdot 5
↓
y \cdot x + z \cdot \left(x + 5\right)
double f(double x, double y, double z) {
        double r27015783 = x;
        double r27015784 = y;
        double r27015785 = z;
        double r27015786 = r27015784 + r27015785;
        double r27015787 = r27015783 * r27015786;
        double r27015788 = 5.0;
        double r27015789 = r27015785 * r27015788;
        double r27015790 = r27015787 + r27015789;
        return r27015790;
}
↓
double f(double x, double y, double z) {
        double r27015791 = y;
        double r27015792 = x;
        double r27015793 = r27015791 * r27015792;
        double r27015794 = z;
        double r27015795 = 5.0;
        double r27015796 = r27015792 + r27015795;
        double r27015797 = r27015794 * r27015796;
        double r27015798 = r27015793 + r27015797;
        return r27015798;
}

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-rgt-in0.1

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

  4. Applied associate-+l+0.1

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

  5. Simplified0.1

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

  6. Final simplification0.1

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

Reproduce

herbie shell --seed 2019170 
(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)))