Average Error: 0.0 → 0.0
Time: 708.0ms
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 r226349 = 500.0;
        double r226350 = x;
        double r226351 = y;
        double r226352 = r226350 - r226351;
        double r226353 = r226349 * r226352;
        return r226353;
}
↓
double f(double x, double y) {
        double r226354 = 500.0;
        double r226355 = x;
        double r226356 = r226354 * r226355;
        double r226357 = y;
        double r226358 = -r226357;
        double r226359 = r226354 * r226358;
        double r226360 = r226356 + r226359;
        return r226360;
}

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 2020047 +o rules:numerics
(FPCore (x y)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, B"
  :precision binary64
  (* 500 (- x y)))