Average Error: 0.1 → 0.1
Time: 35.8s
Precision: 64
\[x \cdot \left(y + z\right) + z \cdot 5.0\]
↓
\[y \cdot x + z \cdot \left(x + 5.0\right)\]
x \cdot \left(y + z\right) + z \cdot 5.0
↓
y \cdot x + z \cdot \left(x + 5.0\right)
double f(double x, double y, double z) {
        double r28531602 = x;
        double r28531603 = y;
        double r28531604 = z;
        double r28531605 = r28531603 + r28531604;
        double r28531606 = r28531602 * r28531605;
        double r28531607 = 5.0;
        double r28531608 = r28531604 * r28531607;
        double r28531609 = r28531606 + r28531608;
        return r28531609;
}
↓
double f(double x, double y, double z) {
        double r28531610 = y;
        double r28531611 = x;
        double r28531612 = r28531610 * r28531611;
        double r28531613 = z;
        double r28531614 = 5.0;
        double r28531615 = r28531611 + r28531614;
        double r28531616 = r28531613 * r28531615;
        double r28531617 = r28531612 + r28531616;
        return r28531617;
}

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-rgt-in0.1

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

  4. Applied associate-+l+0.1

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

  5. Simplified0.1

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

  6. Final simplification0.1

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

Reproduce

herbie shell --seed 2019168 
(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)))