Average Error: 0.0 → 0.0
Time: 3.6s
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 r318026 = 500.0;
        double r318027 = x;
        double r318028 = y;
        double r318029 = r318027 - r318028;
        double r318030 = r318026 * r318029;
        return r318030;
}
↓
double f(double x, double y) {
        double r318031 = x;
        double r318032 = 500.0;
        double r318033 = r318031 * r318032;
        double r318034 = y;
        double r318035 = -r318034;
        double r318036 = r318035 * r318032;
        double r318037 = r318033 + r318036;
        return r318037;
}

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. Simplified0.0

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

  7. Final simplification0.0

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

Reproduce

herbie shell --seed 2020047 +o rules:numerics
(FPCore (x y)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, B"
  :precision binary64
  (* 500 (- x y)))