Data.Colour.RGB:hslsv from colour-2.3.3, A

Average Error: 0 → 0

Time: 936.0ms

Precision: binary64

Cost: 320

Math

\[\frac{x + y}{2} \]

↓

\[\left(x + y\right) \cdot 0.5 \]

FPCore

(FPCore (x y) :precision binary64 (/ (+ x y) 2.0))

↓

(FPCore (x y) :precision binary64 (* (+ x y) 0.5))

C

double code(double x, double y) {
	return (x + y) / 2.0;
}

↓

double code(double x, double y) {
	return (x + y) * 0.5;
}

Fortran

real(8) function code(x, y)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    code = (x + y) / 2.0d0
end function

↓

real(8) function code(x, y)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    code = (x + y) * 0.5d0
end function

Java

public static double code(double x, double y) {
	return (x + y) / 2.0;
}

↓

public static double code(double x, double y) {
	return (x + y) * 0.5;
}

Python

def code(x, y):
	return (x + y) / 2.0

↓

def code(x, y):
	return (x + y) * 0.5

Julia

function code(x, y)
	return Float64(Float64(x + y) / 2.0)
end

↓

function code(x, y)
	return Float64(Float64(x + y) * 0.5)
end

MATLAB

function tmp = code(x, y)
	tmp = (x + y) / 2.0;
end

↓

function tmp = code(x, y)
	tmp = (x + y) * 0.5;
end

Wolfram

code[x_, y_] := N[(N[(x + y), $MachinePrecision] / 2.0), $MachinePrecision]

↓

code[x_, y_] := N[(N[(x + y), $MachinePrecision] * 0.5), $MachinePrecision]

Derivation

1. Initial program 0

   \[\frac{x + y}{2} \]

2. Simplified 0

   \[\leadsto \color{blue}{\left(x + y\right) \cdot 0.5} \]
   Proof

Reproduce

herbie shell --seed 2022325 
(FPCore (x y)
  :name "Data.Colour.RGB:hslsv from colour-2.3.3, A"
  :precision binary64
  (/ (+ x y) 2.0))