Data.Colour.CIE:lightness from colour-2.3.3

Average Error: 0.0 → 0.0

Time: 5.0s

Precision: binary64

Cost: 320

Math

\[x \cdot 116 - 16 \]

↓

\[x \cdot 116 + -16 \]

FPCore

(FPCore (x) :precision binary64 (- (* x 116.0) 16.0))

↓

(FPCore (x) :precision binary64 (+ (* x 116.0) -16.0))

C

double code(double x) {
	return (x * 116.0) - 16.0;
}

↓

double code(double x) {
	return (x * 116.0) + -16.0;
}

Fortran

real(8) function code(x)
    real(8), intent (in) :: x
    code = (x * 116.0d0) - 16.0d0
end function

↓

real(8) function code(x)
    real(8), intent (in) :: x
    code = (x * 116.0d0) + (-16.0d0)
end function

Java

public static double code(double x) {
	return (x * 116.0) - 16.0;
}

↓

public static double code(double x) {
	return (x * 116.0) + -16.0;
}

Python

def code(x):
	return (x * 116.0) - 16.0

↓

def code(x):
	return (x * 116.0) + -16.0

Julia

function code(x)
	return Float64(Float64(x * 116.0) - 16.0)
end

↓

function code(x)
	return Float64(Float64(x * 116.0) + -16.0)
end

MATLAB

function tmp = code(x)
	tmp = (x * 116.0) - 16.0;
end

↓

function tmp = code(x)
	tmp = (x * 116.0) + -16.0;
end

Wolfram

code[x_] := N[(N[(x * 116.0), $MachinePrecision] - 16.0), $MachinePrecision]

↓

code[x_] := N[(N[(x * 116.0), $MachinePrecision] + -16.0), $MachinePrecision]

Derivation

1. Initial program 0.0

   \[x \cdot 116 - 16 \]

2. Final simplification 0.0

   \[\leadsto x \cdot 116 + -16 \]

Alternatives

Alternative 1
Error	1.4
Cost	456

\[\begin{array}{l} \mathbf{if}\;x \leq -4.405786177188472:\\ \;\;\;\;x \cdot 116\\ \mathbf{elif}\;x \leq 0.020906970886639117:\\ \;\;\;\;-16\\ \mathbf{else}:\\ \;\;\;\;x \cdot 116\\ \end{array} \]

Alternative 2
Error	31.9
Cost	64

\[-16 \]

Reproduce

herbie shell --seed 2022228 
(FPCore (x)
  :name "Data.Colour.CIE:lightness from colour-2.3.3"
  :precision binary64
  (- (* x 116.0) 16.0))