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

Average Error: 0.0 → 0.0

Time: 6.0s

Precision: binary64

Cost: 448

Math

\[200 \cdot \left(x - y\right) \]

↓

\[200 \cdot x + -200 \cdot y \]

FPCore

(FPCore (x y) :precision binary64 (* 200.0 (- x y)))

↓

(FPCore (x y) :precision binary64 (+ (* 200.0 x) (* -200.0 y)))

C

double code(double x, double y) {
	return 200.0 * (x - y);
}

↓

double code(double x, double y) {
	return (200.0 * x) + (-200.0 * y);
}

Fortran

real(8) function code(x, y)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    code = 200.0d0 * (x - y)
end function

↓

real(8) function code(x, y)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    code = (200.0d0 * x) + ((-200.0d0) * y)
end function

Java

public static double code(double x, double y) {
	return 200.0 * (x - y);
}

↓

public static double code(double x, double y) {
	return (200.0 * x) + (-200.0 * y);
}

Python

def code(x, y):
	return 200.0 * (x - y)

↓

def code(x, y):
	return (200.0 * x) + (-200.0 * y)

Julia

function code(x, y)
	return Float64(200.0 * Float64(x - y))
end

↓

function code(x, y)
	return Float64(Float64(200.0 * x) + Float64(-200.0 * y))
end

MATLAB

function tmp = code(x, y)
	tmp = 200.0 * (x - y);
end

↓

function tmp = code(x, y)
	tmp = (200.0 * x) + (-200.0 * y);
end

Wolfram

code[x_, y_] := N[(200.0 * N[(x - y), $MachinePrecision]), $MachinePrecision]

↓

code[x_, y_] := N[(N[(200.0 * x), $MachinePrecision] + N[(-200.0 * y), $MachinePrecision]), $MachinePrecision]

Derivation

1. Initial program 0.0

   \[200 \cdot \left(x - y\right) \]

2. Taylor expanded in x around 0 0.0

   \[\leadsto \color{blue}{200 \cdot x + -200 \cdot y} \]

3. Final simplification 0.0

   \[\leadsto 200 \cdot x + -200 \cdot y \]

Alternatives

Alternative 1
Error	16.9
Cost	720

\[\begin{array}{l} \mathbf{if}\;y \leq -5.8 \cdot 10^{+99}:\\ \;\;\;\;-200 \cdot y\\ \mathbf{elif}\;y \leq -1.9 \cdot 10^{+26}:\\ \;\;\;\;200 \cdot x\\ \mathbf{elif}\;y \leq -2 \cdot 10^{-24}:\\ \;\;\;\;-200 \cdot y\\ \mathbf{elif}\;y \leq 7 \cdot 10^{+54}:\\ \;\;\;\;200 \cdot x\\ \mathbf{else}:\\ \;\;\;\;-200 \cdot y\\ \end{array} \]

Alternative 2
Error	0.0
Cost	320

\[200 \cdot \left(x - y\right) \]

Alternative 3
Error	31.9
Cost	192

\[-200 \cdot y \]

Reproduce

herbie shell --seed 2023064 
(FPCore (x y)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, C"
  :precision binary64
  (* 200.0 (- x y)))