Average Error: 0.1 → 0.1
Time: 9.4s
Precision: 64
\[x \cdot \left(y + z\right) + z \cdot 5\]
↓
\[x \cdot y + z \cdot \left(x + 5\right)\]
x \cdot \left(y + z\right) + z \cdot 5
↓
x \cdot y + z \cdot \left(x + 5\right)
double f(double x, double y, double z) {
        double r845556 = x;
        double r845557 = y;
        double r845558 = z;
        double r845559 = r845557 + r845558;
        double r845560 = r845556 * r845559;
        double r845561 = 5.0;
        double r845562 = r845558 * r845561;
        double r845563 = r845560 + r845562;
        return r845563;
}
↓
double f(double x, double y, double z) {
        double r845564 = x;
        double r845565 = y;
        double r845566 = r845564 * r845565;
        double r845567 = z;
        double r845568 = 5.0;
        double r845569 = r845564 + r845568;
        double r845570 = r845567 * r845569;
        double r845571 = r845566 + r845570;
        return r845571;
}

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. Applied associate-+l+0.1

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

  5. Simplified0.1

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

  6. Final simplification0.1

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

Reproduce

herbie shell --seed 2020047 
(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)))