Average Error: 0.1 → 0.1
Time: 11.6s
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 r38699433 = x;
        double r38699434 = y;
        double r38699435 = z;
        double r38699436 = r38699434 + r38699435;
        double r38699437 = r38699433 * r38699436;
        double r38699438 = 5.0;
        double r38699439 = r38699435 * r38699438;
        double r38699440 = r38699437 + r38699439;
        return r38699440;
}
↓
double f(double x, double y, double z) {
        double r38699441 = x;
        double r38699442 = y;
        double r38699443 = r38699441 * r38699442;
        double r38699444 = z;
        double r38699445 = 5.0;
        double r38699446 = r38699441 + r38699445;
        double r38699447 = r38699444 * r38699446;
        double r38699448 = r38699443 + r38699447;
        return r38699448;
}

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 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)))