Average Error: 0.0 → 0.0
Time: 8.8s
Precision: 64
\[200 \cdot \left(x - y\right)\]
↓
\[\left(-y\right) \cdot 200 + 200 \cdot x\]
200 \cdot \left(x - y\right)
↓
\left(-y\right) \cdot 200 + 200 \cdot x
double f(double x, double y) {
        double r13062879 = 200.0;
        double r13062880 = x;
        double r13062881 = y;
        double r13062882 = r13062880 - r13062881;
        double r13062883 = r13062879 * r13062882;
        return r13062883;
}
↓
double f(double x, double y) {
        double r13062884 = y;
        double r13062885 = -r13062884;
        double r13062886 = 200.0;
        double r13062887 = r13062885 * r13062886;
        double r13062888 = x;
        double r13062889 = r13062886 * r13062888;
        double r13062890 = r13062887 + r13062889;
        return r13062890;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[200 \cdot \left(x - y\right)\]
  2. Using strategy rm

  3. Applied sub-neg0.0

    \[\leadsto 200 \cdot \color{blue}{\left(x + \left(-y\right)\right)}\]

  4. Applied distribute-lft-in0.0

    \[\leadsto \color{blue}{200 \cdot x + 200 \cdot \left(-y\right)}\]

  5. Final simplification0.0

    \[\leadsto \left(-y\right) \cdot 200 + 200 \cdot x\]

Reproduce

herbie shell --seed 2019174 
(FPCore (x y)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, C"
  (* 200.0 (- x y)))