Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, A

Average Error: 0.0 → 0.0

Time: 2.9s

Precision: binary64

Cost: 448

Math

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

↓

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

FPCore

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

↓

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

C

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

↓

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

Fortran

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

↓

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

Java

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

↓

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

Python

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

↓

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

Julia

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

↓

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

MATLAB

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

↓

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

Wolfram

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

↓

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

Derivation

1. Initial program 0.0

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

2. Final simplification 0.0

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

Alternatives

Alternative 1
Error	28.2
Cost	988

\[\begin{array}{l} \mathbf{if}\;x \leq -1.8870632384405314 \cdot 10^{-7}:\\ \;\;\;\;x\\ \mathbf{elif}\;x \leq -2.401632977558902 \cdot 10^{-27}:\\ \;\;\;\;y\\ \mathbf{elif}\;x \leq -1.1070461235319509 \cdot 10^{-50}:\\ \;\;\;\;x\\ \mathbf{elif}\;x \leq -2.0675538209044417 \cdot 10^{-67}:\\ \;\;\;\;y\\ \mathbf{elif}\;x \leq -5.445774217548031 \cdot 10^{-99}:\\ \;\;\;\;x\\ \mathbf{elif}\;x \leq -5.325913300007429 \cdot 10^{-120}:\\ \;\;\;\;y\\ \mathbf{elif}\;x \leq -6.66384912602924 \cdot 10^{-135}:\\ \;\;\;\;x\\ \mathbf{else}:\\ \;\;\;\;y\\ \end{array} \]

Alternative 2
Error	1.2
Cost	584

\[\begin{array}{l} t_0 := x - x \cdot y\\ \mathbf{if}\;x \leq -218549124572.88452:\\ \;\;\;\;t_0\\ \mathbf{elif}\;x \leq 3.955968919782023 \cdot 10^{-13}:\\ \;\;\;\;x + y\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]

Alternative 3
Error	10.4
Cost	584

\[\begin{array}{l} \mathbf{if}\;x \leq -218549124572.88452:\\ \;\;\;\;x - x \cdot y\\ \mathbf{elif}\;x \leq 4.1183623986267296 \cdot 10^{-33}:\\ \;\;\;\;x + y\\ \mathbf{else}:\\ \;\;\;\;y - x \cdot y\\ \end{array} \]

Alternative 4
Error	0.0
Cost	448

\[y + x \cdot \left(1 - y\right) \]

Alternative 5
Error	14.7
Cost	388

\[\begin{array}{l} \mathbf{if}\;x \leq 3.955968919782023 \cdot 10^{-13}:\\ \;\;\;\;x + y\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(-y\right)\\ \end{array} \]

Alternative 6
Error	9.9
Cost	192

\[x + y \]

Alternative 7
Error	35.9
Cost	64

\[y \]

Reproduce

herbie shell --seed 2022295 
(FPCore (x y)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, A"
  :precision binary64
  (- (+ x y) (* x y)))