Average Error: 0.0 → 0.0
Time: 1.7s
Precision: 64
\[500 \cdot \left(x - y\right)\]
↓
\[500 \cdot x + 500 \cdot \left(-y\right)\]
500 \cdot \left(x - y\right)
↓
500 \cdot x + 500 \cdot \left(-y\right)
double f(double x, double y) {
        double r275276 = 500.0;
        double r275277 = x;
        double r275278 = y;
        double r275279 = r275277 - r275278;
        double r275280 = r275276 * r275279;
        return r275280;
}
↓
double f(double x, double y) {
        double r275281 = 500.0;
        double r275282 = x;
        double r275283 = r275281 * r275282;
        double r275284 = y;
        double r275285 = -r275284;
        double r275286 = r275281 * r275285;
        double r275287 = r275283 + r275286;
        return r275287;
}

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. Final simplification0.0

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

Reproduce

herbie shell --seed 2020034 
(FPCore (x y)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, B"
  :precision binary64
  (* 500 (- x y)))