Average Error: 0.0 → 0.0
Time: 1.4s
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

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

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

  2. Taylor expanded around 0 0.0

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

  3. Final simplification0.0

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

Alternatives

Reproduce

herbie shell --seed 2021118 
(FPCore (x y)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, B"
  :precision binary64
  (* 500.0 (- x y)))