Average Error: 0.1 → 0.1
Time: 3.6s
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 r596801 = x;
        double r596802 = y;
        double r596803 = z;
        double r596804 = r596802 + r596803;
        double r596805 = r596801 * r596804;
        double r596806 = 5.0;
        double r596807 = r596803 * r596806;
        double r596808 = r596805 + r596807;
        return r596808;
}
↓
double f(double x, double y, double z) {
        double r596809 = x;
        double r596810 = y;
        double r596811 = r596809 * r596810;
        double r596812 = z;
        double r596813 = r596809 * r596812;
        double r596814 = r596811 + r596813;
        double r596815 = 5.0;
        double r596816 = r596812 * r596815;
        double r596817 = r596814 + r596816;
        return r596817;
}

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 2020003 
(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)))