Average Error: 0.0 → 0.0
Time: 6.6s
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 r160370 = 200.0;
        double r160371 = x;
        double r160372 = y;
        double r160373 = r160371 - r160372;
        double r160374 = r160370 * r160373;
        return r160374;
}
↓
double f(double x, double y) {
        double r160375 = y;
        double r160376 = -r160375;
        double r160377 = 200.0;
        double r160378 = r160376 * r160377;
        double r160379 = x;
        double r160380 = r160377 * r160379;
        double r160381 = r160378 + r160380;
        return r160381;
}

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. Simplified0.0

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

  6. Final simplification0.0

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

Reproduce

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