Average Error: 0.0 → 0.0
Time: 36.3s
Precision: 64
\[500 \cdot \left(x - y\right)\]
↓
\[x \cdot 500 + \left(-y\right) \cdot 500\]
500 \cdot \left(x - y\right)
↓
x \cdot 500 + \left(-y\right) \cdot 500
double f(double x, double y) {
        double r15125480 = 500.0;
        double r15125481 = x;
        double r15125482 = y;
        double r15125483 = r15125481 - r15125482;
        double r15125484 = r15125480 * r15125483;
        return r15125484;
}
↓
double f(double x, double y) {
        double r15125485 = x;
        double r15125486 = 500.0;
        double r15125487 = r15125485 * r15125486;
        double r15125488 = y;
        double r15125489 = -r15125488;
        double r15125490 = r15125489 * r15125486;
        double r15125491 = r15125487 + r15125490;
        return r15125491;
}

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

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

Reproduce

herbie shell --seed 2019200 
(FPCore (x y)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, B"
  (* 500.0 (- x y)))