Average Error: 0.1 → 0.1
Time: 8.9s
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 r673441 = x;
        double r673442 = y;
        double r673443 = z;
        double r673444 = r673442 + r673443;
        double r673445 = r673441 * r673444;
        double r673446 = 5.0;
        double r673447 = r673443 * r673446;
        double r673448 = r673445 + r673447;
        return r673448;
}
↓
double f(double x, double y, double z) {
        double r673449 = x;
        double r673450 = y;
        double r673451 = r673449 * r673450;
        double r673452 = z;
        double r673453 = 5.0;
        double r673454 = r673449 + r673453;
        double r673455 = r673452 * r673454;
        double r673456 = r673451 + r673455;
        return r673456;
}

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 2020042 
(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)))