Data.Colour.CIE:cieLABView from colour-2.3.3, B

Average Error: 0.0 → 0.0

Time: 15.3s

Precision: binary64

Cost: 576

Math

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

↓

\[y \cdot -1000 - -500 \cdot \left(y + x\right) \]

FPCore

(FPCore (x y) :precision binary64 (* 500.0 (- x y)))

↓

(FPCore (x y) :precision binary64 (- (* y -1000.0) (* -500.0 (+ y x))))

C

double code(double x, double y) {
	return 500.0 * (x - y);
}

↓

double code(double x, double y) {
	return (y * -1000.0) - (-500.0 * (y + x));
}

Fortran

real(8) function code(x, y)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    code = 500.0d0 * (x - y)
end function

↓

real(8) function code(x, y)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    code = (y * (-1000.0d0)) - ((-500.0d0) * (y + x))
end function

Java

public static double code(double x, double y) {
	return 500.0 * (x - y);
}

↓

public static double code(double x, double y) {
	return (y * -1000.0) - (-500.0 * (y + x));
}

Python

def code(x, y):
	return 500.0 * (x - y)

↓

def code(x, y):
	return (y * -1000.0) - (-500.0 * (y + x))

Julia

function code(x, y)
	return Float64(500.0 * Float64(x - y))
end

↓

function code(x, y)
	return Float64(Float64(y * -1000.0) - Float64(-500.0 * Float64(y + x)))
end

MATLAB

function tmp = code(x, y)
	tmp = 500.0 * (x - y);
end

↓

function tmp = code(x, y)
	tmp = (y * -1000.0) - (-500.0 * (y + x));
end

Wolfram

code[x_, y_] := N[(500.0 * N[(x - y), $MachinePrecision]), $MachinePrecision]

↓

code[x_, y_] := N[(N[(y * -1000.0), $MachinePrecision] - N[(-500.0 * N[(y + x), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]

Derivation

1. Initial program 0.0

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

2. Taylor expanded in x around 0 0.0

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

3. Applied egg-rr 0.0

   \[\leadsto \color{blue}{y \cdot -1000 - -500 \cdot \left(y + x\right)} \]

4. Final simplification 0.0

   \[\leadsto y \cdot -1000 - -500 \cdot \left(y + x\right) \]

Alternatives

Alternative 1
Error	16.9
Cost	720

\[\begin{array}{l} \mathbf{if}\;y \leq -3.4 \cdot 10^{-22}:\\ \;\;\;\;-500 \cdot y\\ \mathbf{elif}\;y \leq 6 \cdot 10^{-28}:\\ \;\;\;\;500 \cdot x\\ \mathbf{elif}\;y \leq 1.7 \cdot 10^{+119}:\\ \;\;\;\;-500 \cdot y\\ \mathbf{elif}\;y \leq 6.4 \cdot 10^{+159}:\\ \;\;\;\;500 \cdot x\\ \mathbf{else}:\\ \;\;\;\;-500 \cdot y\\ \end{array} \]

Alternative 2
Error	0.0
Cost	320

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

Alternative 3
Error	31.9
Cost	192

\[-500 \cdot y \]

Reproduce

herbie shell --seed 2023099 
(FPCore (x y)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, B"
  :precision binary64
  (* 500.0 (- x y)))