Average Error: 0.0 → 0.0
Time: 1.5s
Precision: binary64
\[500 \cdot \left(x - y\right) \]
↓
\[500 \cdot x + -500 \cdot y \]
500 \cdot \left(x - y\right)
↓
500 \cdot x + -500 \cdot y

(FPCore (x y) :precision binary64 (* 500.0 (- x y)))
↓
(FPCore (x y) :precision binary64 (+ (* 500.0 x) (* -500.0 y)))
double code(double x, double y) {
	return 500.0 * (x - y);
}
↓
double code(double x, double y) {
	return (500.0 * x) + (-500.0 * y);
}

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-neg_binary640.0

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

  4. Applied distribute-rgt-in_binary640.0

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

  5. Simplified0.0

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

  6. Simplified0.0

    \[\leadsto 500 \cdot x + \color{blue}{-500 \cdot y} \]

  7. Final simplification0.0

    \[\leadsto 500 \cdot x + -500 \cdot y \]

Reproduce

herbie shell --seed 2021204 
(FPCore (x y)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, B"
  :precision binary64
  (* 500.0 (- x y)))