Average Error: 0.1 → 0.1
Time: 35.7s
Precision: 64
\[x \cdot \left(y + z\right) + z \cdot 5.0\]
↓
\[y \cdot x + z \cdot \left(x + 5.0\right)\]
x \cdot \left(y + z\right) + z \cdot 5.0
↓
y \cdot x + z \cdot \left(x + 5.0\right)
double f(double x, double y, double z) {
        double r30797664 = x;
        double r30797665 = y;
        double r30797666 = z;
        double r30797667 = r30797665 + r30797666;
        double r30797668 = r30797664 * r30797667;
        double r30797669 = 5.0;
        double r30797670 = r30797666 * r30797669;
        double r30797671 = r30797668 + r30797670;
        return r30797671;
}
↓
double f(double x, double y, double z) {
        double r30797672 = y;
        double r30797673 = x;
        double r30797674 = r30797672 * r30797673;
        double r30797675 = z;
        double r30797676 = 5.0;
        double r30797677 = r30797673 + r30797676;
        double r30797678 = r30797675 * r30797677;
        double r30797679 = r30797674 + r30797678;
        return r30797679;
}

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
\[\left(x + 5.0\right) \cdot z + x \cdot y\]

Derivation

  1. Initial program 0.1

    \[x \cdot \left(y + z\right) + z \cdot 5.0\]
  2. Using strategy rm

  3. Applied distribute-rgt-in0.1

    \[\leadsto \color{blue}{\left(y \cdot x + z \cdot x\right)} + z \cdot 5.0\]

  4. Applied associate-+l+0.1

    \[\leadsto \color{blue}{y \cdot x + \left(z \cdot x + z \cdot 5.0\right)}\]

  5. Simplified0.1

    \[\leadsto y \cdot x + \color{blue}{z \cdot \left(x + 5.0\right)}\]

  6. Final simplification0.1

    \[\leadsto y \cdot x + z \cdot \left(x + 5.0\right)\]

Reproduce

herbie shell --seed 2019164 
(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)))