Average Error: 0.0 → 0.0
Time: 9.0s
Precision: 64
\[500.0 \cdot \left(x - y\right)\]
↓
\[\left(-y\right) \cdot 500.0 + 500.0 \cdot x\]
500.0 \cdot \left(x - y\right)
↓
\left(-y\right) \cdot 500.0 + 500.0 \cdot x
double f(double x, double y) {
        double r11901419 = 500.0;
        double r11901420 = x;
        double r11901421 = y;
        double r11901422 = r11901420 - r11901421;
        double r11901423 = r11901419 * r11901422;
        return r11901423;
}
↓
double f(double x, double y) {
        double r11901424 = y;
        double r11901425 = -r11901424;
        double r11901426 = 500.0;
        double r11901427 = r11901425 * r11901426;
        double r11901428 = x;
        double r11901429 = r11901426 * r11901428;
        double r11901430 = r11901427 + r11901429;
        return r11901430;
}

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

    \[500.0 \cdot \left(x - y\right)\]
  2. Using strategy rm

  3. Applied sub-neg0.0

    \[\leadsto 500.0 \cdot \color{blue}{\left(x + \left(-y\right)\right)}\]

  4. Applied distribute-lft-in0.0

    \[\leadsto \color{blue}{500.0 \cdot x + 500.0 \cdot \left(-y\right)}\]

  5. Final simplification0.0

    \[\leadsto \left(-y\right) \cdot 500.0 + 500.0 \cdot x\]

Reproduce

herbie shell --seed 2019168 +o rules:numerics
(FPCore (x y)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, B"
  (* 500.0 (- x y)))