Average Error: 0.0 → 0.0
Time: 3.4s
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 r313289 = 500.0;
        double r313290 = x;
        double r313291 = y;
        double r313292 = r313290 - r313291;
        double r313293 = r313289 * r313292;
        return r313293;
}
↓
double f(double x, double y) {
        double r313294 = 500.0;
        double r313295 = x;
        double r313296 = r313294 * r313295;
        double r313297 = y;
        double r313298 = -r313297;
        double r313299 = r313294 * r313298;
        double r313300 = r313296 + r313299;
        return r313300;
}

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 2020056 
(FPCore (x y)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, B"
  :precision binary64
  (* 500 (- x y)))