Average Error: 0.0 → 0.0
Time: 6.5s
Precision: 64
\[500 \cdot \left(x - y\right)\]
↓
\[x \cdot 500 + \left(-y\right) \cdot 500\]
500 \cdot \left(x - y\right)
↓
x \cdot 500 + \left(-y\right) \cdot 500
double f(double x, double y) {
        double r22121351 = 500.0;
        double r22121352 = x;
        double r22121353 = y;
        double r22121354 = r22121352 - r22121353;
        double r22121355 = r22121351 * r22121354;
        return r22121355;
}
↓
double f(double x, double y) {
        double r22121356 = x;
        double r22121357 = 500.0;
        double r22121358 = r22121356 * r22121357;
        double r22121359 = y;
        double r22121360 = -r22121359;
        double r22121361 = r22121360 * r22121357;
        double r22121362 = r22121358 + r22121361;
        return r22121362;
}

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-rgt-in0.0

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

  5. Final simplification0.0

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

Reproduce

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