Average Error: 0.0 → 0.0
Time: 9.2s
Precision: 64
\[\left(x + y\right) \cdot \left(z + 1\right)\]
↓
\[x \cdot z + \left(y \cdot z + \left(x + y\right) \cdot 1\right)\]
\left(x + y\right) \cdot \left(z + 1\right)
↓
x \cdot z + \left(y \cdot z + \left(x + y\right) \cdot 1\right)
double f(double x, double y, double z) {
        double r51648 = x;
        double r51649 = y;
        double r51650 = r51648 + r51649;
        double r51651 = z;
        double r51652 = 1.0;
        double r51653 = r51651 + r51652;
        double r51654 = r51650 * r51653;
        return r51654;
}
↓
double f(double x, double y, double z) {
        double r51655 = x;
        double r51656 = z;
        double r51657 = r51655 * r51656;
        double r51658 = y;
        double r51659 = r51658 * r51656;
        double r51660 = r51655 + r51658;
        double r51661 = 1.0;
        double r51662 = r51660 * r51661;
        double r51663 = r51659 + r51662;
        double r51664 = r51657 + r51663;
        return r51664;
}

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

Derivation

  1. Initial program 0.0

    \[\left(x + y\right) \cdot \left(z + 1\right)\]
  2. Using strategy rm

  3. Applied distribute-lft-in0.0

    \[\leadsto \color{blue}{\left(x + y\right) \cdot z + \left(x + y\right) \cdot 1}\]

  4. Simplified0.0

    \[\leadsto \color{blue}{z \cdot \left(x + y\right)} + \left(x + y\right) \cdot 1\]
  5. Using strategy rm

  6. Applied distribute-rgt-in0.0

    \[\leadsto \color{blue}{\left(x \cdot z + y \cdot z\right)} + \left(x + y\right) \cdot 1\]

  7. Applied associate-+l+0.0

    \[\leadsto \color{blue}{x \cdot z + \left(y \cdot z + \left(x + y\right) \cdot 1\right)}\]

  8. Final simplification0.0

    \[\leadsto x \cdot z + \left(y \cdot z + \left(x + y\right) \cdot 1\right)\]

Reproduce

herbie shell --seed 2020043 
(FPCore (x y z)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, G"
  :precision binary64
  (* (+ x y) (+ z 1)))