Average Error: 0.0 → 0.0
Time: 1.3s
Precision: 64
\[200 \cdot \left(x - y\right)\]
↓
\[200 \cdot x + 200 \cdot \left(-y\right)\]
200 \cdot \left(x - y\right)
↓
200 \cdot x + 200 \cdot \left(-y\right)
double f(double x, double y) {
        double r333814 = 200.0;
        double r333815 = x;
        double r333816 = y;
        double r333817 = r333815 - r333816;
        double r333818 = r333814 * r333817;
        return r333818;
}
↓
double f(double x, double y) {
        double r333819 = 200.0;
        double r333820 = x;
        double r333821 = r333819 * r333820;
        double r333822 = y;
        double r333823 = -r333822;
        double r333824 = r333819 * r333823;
        double r333825 = r333821 + r333824;
        return r333825;
}

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

    \[200 \cdot \left(x - y\right)\]
  2. Using strategy rm

  3. Applied sub-neg0.0

    \[\leadsto 200 \cdot \color{blue}{\left(x + \left(-y\right)\right)}\]

  4. Applied distribute-lft-in0.0

    \[\leadsto \color{blue}{200 \cdot x + 200 \cdot \left(-y\right)}\]

  5. Final simplification0.0

    \[\leadsto 200 \cdot x + 200 \cdot \left(-y\right)\]

Reproduce

herbie shell --seed 2020056 
(FPCore (x y)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, C"
  :precision binary64
  (* 200 (- x y)))