Average Error: 0.1 → 0.1
Time: 9.4s
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 r1003860 = x;
        double r1003861 = y;
        double r1003862 = z;
        double r1003863 = r1003861 + r1003862;
        double r1003864 = r1003860 * r1003863;
        double r1003865 = 5.0;
        double r1003866 = r1003862 * r1003865;
        double r1003867 = r1003864 + r1003866;
        return r1003867;
}
↓
double f(double x, double y, double z) {
        double r1003868 = x;
        double r1003869 = y;
        double r1003870 = r1003868 * r1003869;
        double r1003871 = z;
        double r1003872 = r1003868 * r1003871;
        double r1003873 = r1003870 + r1003872;
        double r1003874 = 5.0;
        double r1003875 = r1003871 * r1003874;
        double r1003876 = r1003873 + r1003875;
        return r1003876;
}

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 2019209 
(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)))