Average Error: 0.0 → 0.0
Time: 1.9s
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 r382470 = 200.0;
        double r382471 = x;
        double r382472 = y;
        double r382473 = r382471 - r382472;
        double r382474 = r382470 * r382473;
        return r382474;
}
↓
double f(double x, double y) {
        double r382475 = 200.0;
        double r382476 = x;
        double r382477 = r382475 * r382476;
        double r382478 = y;
        double r382479 = -r382478;
        double r382480 = r382475 * r382479;
        double r382481 = r382477 + r382480;
        return r382481;
}

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 2020065 
(FPCore (x y)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, C"
  :precision binary64
  (* 200 (- x y)))