Data.Colour.CIE:cieLAB from colour-2.3.3, C

Average Error: 0.01% → 0.01%

Time: 2.0s

Precision: binary64

Cost: 320

Math

\[x + \frac{y}{500} \]

↓

\[x + \frac{y}{500} \]

FPCore

(FPCore (x y) :precision binary64 (+ x (/ y 500.0)))

↓

(FPCore (x y) :precision binary64 (+ x (/ y 500.0)))

C

double code(double x, double y) {
	return x + (y / 500.0);
}

↓

double code(double x, double y) {
	return x + (y / 500.0);
}

Fortran

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

↓

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

Java

public static double code(double x, double y) {
	return x + (y / 500.0);
}

↓

public static double code(double x, double y) {
	return x + (y / 500.0);
}

Python

def code(x, y):
	return x + (y / 500.0)

↓

def code(x, y):
	return x + (y / 500.0)

Julia

function code(x, y)
	return Float64(x + Float64(y / 500.0))
end

↓

function code(x, y)
	return Float64(x + Float64(y / 500.0))
end

MATLAB

function tmp = code(x, y)
	tmp = x + (y / 500.0);
end

↓

function tmp = code(x, y)
	tmp = x + (y / 500.0);
end

Wolfram

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

↓

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

Derivation

1. Initial program 0.01

   \[x + \frac{y}{500} \]

2. Final simplification 0.01

   \[\leadsto x + \frac{y}{500} \]

Alternatives

Alternative 1
Error	26.82%
Cost	720

\[\begin{array}{l} \mathbf{if}\;y \leq -3 \cdot 10^{+61}:\\ \;\;\;\;y \cdot 0.002\\ \mathbf{elif}\;y \leq 1.3 \cdot 10^{-39}:\\ \;\;\;\;x\\ \mathbf{elif}\;y \leq 9 \cdot 10^{-26}:\\ \;\;\;\;y \cdot 0.002\\ \mathbf{elif}\;y \leq 2.65 \cdot 10^{+72}:\\ \;\;\;\;x\\ \mathbf{else}:\\ \;\;\;\;y \cdot 0.002\\ \end{array} \]

Alternative 2
Error	48.78%
Cost	64

\[x \]

Reproduce

herbie shell --seed 2023121 
(FPCore (x y)
  :name "Data.Colour.CIE:cieLAB from colour-2.3.3, C"
  :precision binary64
  (+ x (/ y 500.0)))