Average Error: 0.1 → 0.1
Time: 10.8s
Precision: 64
\[x \cdot \left(y + z\right) + z \cdot 5\]
↓
\[y \cdot x + z \cdot \left(x + 5\right)\]
x \cdot \left(y + z\right) + z \cdot 5
↓
y \cdot x + z \cdot \left(x + 5\right)
double f(double x, double y, double z) {
        double r26184340 = x;
        double r26184341 = y;
        double r26184342 = z;
        double r26184343 = r26184341 + r26184342;
        double r26184344 = r26184340 * r26184343;
        double r26184345 = 5.0;
        double r26184346 = r26184342 * r26184345;
        double r26184347 = r26184344 + r26184346;
        return r26184347;
}
↓
double f(double x, double y, double z) {
        double r26184348 = y;
        double r26184349 = x;
        double r26184350 = r26184348 * r26184349;
        double r26184351 = z;
        double r26184352 = 5.0;
        double r26184353 = r26184349 + r26184352;
        double r26184354 = r26184351 * r26184353;
        double r26184355 = r26184350 + r26184354;
        return r26184355;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

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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-rgt-in0.1

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

  4. Applied associate-+l+0.1

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

  5. Simplified0.1

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

  6. Final simplification0.1

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

Reproduce

herbie shell --seed 2019174 
(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)))