Average Error: 0.0 → 0.0
Time: 13.9s
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 r197253 = 200.0;
        double r197254 = x;
        double r197255 = y;
        double r197256 = r197254 - r197255;
        double r197257 = r197253 * r197256;
        return r197257;
}
↓
double f(double x, double y) {
        double r197258 = 200.0;
        double r197259 = x;
        double r197260 = r197258 * r197259;
        double r197261 = y;
        double r197262 = -r197261;
        double r197263 = r197258 * r197262;
        double r197264 = r197260 + r197263;
        return r197264;
}

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 2019304 
(FPCore (x y)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, C"
  :precision binary64
  (* 200 (- x y)))