Average Error: 0.1 → 0.1
Time: 4.0s
Precision: 64
\[x \cdot \left(y + z\right) + z \cdot 5\]
↓
\[\left(x \cdot y + x \cdot z\right) + z \cdot 5\]
x \cdot \left(y + z\right) + z \cdot 5
↓
\left(x \cdot y + x \cdot z\right) + z \cdot 5
double f(double x, double y, double z) {
        double r503529 = x;
        double r503530 = y;
        double r503531 = z;
        double r503532 = r503530 + r503531;
        double r503533 = r503529 * r503532;
        double r503534 = 5.0;
        double r503535 = r503531 * r503534;
        double r503536 = r503533 + r503535;
        return r503536;
}
↓
double f(double x, double y, double z) {
        double r503537 = x;
        double r503538 = y;
        double r503539 = r503537 * r503538;
        double r503540 = z;
        double r503541 = r503537 * r503540;
        double r503542 = r503539 + r503541;
        double r503543 = 5.0;
        double r503544 = r503540 * r503543;
        double r503545 = r503542 + r503544;
        return r503545;
}

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. Final simplification0.1

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

Reproduce

herbie shell --seed 2019322 
(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)))