Average Error: 0.0 → 0.0
Time: 5.6s
Precision: 64
\[500 \cdot \left(x - y\right)\]
↓
\[500 \cdot x + \left(-y\right) \cdot 500\]
500 \cdot \left(x - y\right)
↓
500 \cdot x + \left(-y\right) \cdot 500
double f(double x, double y) {
        double r163222 = 500.0;
        double r163223 = x;
        double r163224 = y;
        double r163225 = r163223 - r163224;
        double r163226 = r163222 * r163225;
        return r163226;
}
↓
double f(double x, double y) {
        double r163227 = 500.0;
        double r163228 = x;
        double r163229 = r163227 * r163228;
        double r163230 = y;
        double r163231 = -r163230;
        double r163232 = r163231 * r163227;
        double r163233 = r163229 + r163232;
        return r163233;
}

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

    \[500 \cdot \left(x - y\right)\]
  2. Using strategy rm

  3. Applied sub-neg0.0

    \[\leadsto 500 \cdot \color{blue}{\left(x + \left(-y\right)\right)}\]

  4. Applied distribute-lft-in0.0

    \[\leadsto \color{blue}{500 \cdot x + 500 \cdot \left(-y\right)}\]

  5. Simplified0.0

    \[\leadsto 500 \cdot x + \color{blue}{\left(-y\right) \cdot 500}\]

  6. Final simplification0.0

    \[\leadsto 500 \cdot x + \left(-y\right) \cdot 500\]

Reproduce

herbie shell --seed 2019325 +o rules:numerics
(FPCore (x y)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, B"
  :precision binary64
  (* 500 (- x y)))