Average Error: 0.1 → 0.1
Time: 1.8m
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 r26994409 = x;
        double r26994410 = y;
        double r26994411 = z;
        double r26994412 = r26994410 + r26994411;
        double r26994413 = r26994409 * r26994412;
        double r26994414 = 5.0;
        double r26994415 = r26994411 * r26994414;
        double r26994416 = r26994413 + r26994415;
        return r26994416;
}
↓
double f(double x, double y, double z) {
        double r26994417 = y;
        double r26994418 = x;
        double r26994419 = r26994417 * r26994418;
        double r26994420 = z;
        double r26994421 = 5.0;
        double r26994422 = r26994418 + r26994421;
        double r26994423 = r26994420 * r26994422;
        double r26994424 = r26994419 + r26994423;
        return r26994424;
}

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-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 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)))