Average Error: 0.0 → 0.0
Time: 22.9s
Precision: 64
\[500 \cdot \left(x - y\right)\]
↓
\[\left(-y\right) \cdot 500 + 500 \cdot x\]
500 \cdot \left(x - y\right)
↓
\left(-y\right) \cdot 500 + 500 \cdot x
double f(double x, double y) {
        double r10685261 = 500.0;
        double r10685262 = x;
        double r10685263 = y;
        double r10685264 = r10685262 - r10685263;
        double r10685265 = r10685261 * r10685264;
        return r10685265;
}
↓
double f(double x, double y) {
        double r10685266 = y;
        double r10685267 = -r10685266;
        double r10685268 = 500.0;
        double r10685269 = r10685267 * r10685268;
        double r10685270 = x;
        double r10685271 = r10685268 * r10685270;
        double r10685272 = r10685269 + r10685271;
        return r10685272;
}

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

    \[\leadsto \left(-y\right) \cdot 500 + 500 \cdot x\]

Reproduce

herbie shell --seed 2019168 +o rules:numerics
(FPCore (x y)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, B"
  (* 500.0 (- x y)))