Average Error: 0.0 → 0.0
Time: 2.9s
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 r239371 = 500.0;
        double r239372 = x;
        double r239373 = y;
        double r239374 = r239372 - r239373;
        double r239375 = r239371 * r239374;
        return r239375;
}
↓
double f(double x, double y) {
        double r239376 = 500.0;
        double r239377 = x;
        double r239378 = r239376 * r239377;
        double r239379 = y;
        double r239380 = -r239379;
        double r239381 = r239376 * r239380;
        double r239382 = r239378 + r239381;
        return r239382;
}

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 2019353 
(FPCore (x y)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, B"
  :precision binary64
  (* 500 (- x y)))