Average Error: 0.0 → 0.0
Time: 14.4s
Precision: 64
\[200 \cdot \left(x - y\right)\]
↓
\[x \cdot 200 + 200 \cdot \left(-y\right)\]
200 \cdot \left(x - y\right)
↓
x \cdot 200 + 200 \cdot \left(-y\right)
double f(double x, double y) {
        double r173387 = 200.0;
        double r173388 = x;
        double r173389 = y;
        double r173390 = r173388 - r173389;
        double r173391 = r173387 * r173390;
        return r173391;
}
↓
double f(double x, double y) {
        double r173392 = x;
        double r173393 = 200.0;
        double r173394 = r173392 * r173393;
        double r173395 = y;
        double r173396 = -r173395;
        double r173397 = r173393 * r173396;
        double r173398 = r173394 + r173397;
        return r173398;
}

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-rgt-in0.0

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

  5. Simplified0.0

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

  6. Final simplification0.0

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

Reproduce

herbie shell --seed 2019199 +o rules:numerics
(FPCore (x y)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, C"
  (* 200.0 (- x y)))