Average Error: 0.0 → 0.0
Time: 8.5s
Precision: 64
\[500 \cdot \left(x - y\right)\]
↓
\[x \cdot 500 + 500 \cdot \left(-y\right)\]
500 \cdot \left(x - y\right)
↓
x \cdot 500 + 500 \cdot \left(-y\right)
double f(double x, double y) {
        double r256382 = 500.0;
        double r256383 = x;
        double r256384 = y;
        double r256385 = r256383 - r256384;
        double r256386 = r256382 * r256385;
        return r256386;
}
↓
double f(double x, double y) {
        double r256387 = x;
        double r256388 = 500.0;
        double r256389 = r256387 * r256388;
        double r256390 = y;
        double r256391 = -r256390;
        double r256392 = r256388 * r256391;
        double r256393 = r256389 + r256392;
        return r256393;
}

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. Simplified0.0

    \[\leadsto \color{blue}{x \cdot 500} + 500 \cdot \left(-y\right)\]

  6. Final simplification0.0

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

Reproduce

herbie shell --seed 2019198 
(FPCore (x y)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, B"
  (* 500.0 (- x y)))