Average Error: 0.0 → 0.0
Time: 1.3s
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 r309054 = 500.0;
        double r309055 = x;
        double r309056 = y;
        double r309057 = r309055 - r309056;
        double r309058 = r309054 * r309057;
        return r309058;
}

double f(double x, double y) {
        double r309059 = 500.0;
        double r309060 = x;
        double r309061 = r309059 * r309060;
        double r309062 = y;
        double r309063 = -r309062;
        double r309064 = r309059 * r309063;
        double r309065 = r309061 + r309064;
        return r309065;
}

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 2020021 
(FPCore (x y)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, B"
  :precision binary64
  (* 500 (- x y)))