Data.Colour.CIE.Chromaticity:chromaCoords from colour-2.3.3

Average Accuracy: 100.0% → 100.0%

Time: 3.0s

Precision: binary64

Cost: 320

Math

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

↓

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

FPCore

(FPCore (x y) :precision binary64 (- (- 1.0 x) y))

↓

(FPCore (x y) :precision binary64 (- (- 1.0 x) y))

C

double code(double x, double y) {
	return (1.0 - x) - y;
}

↓

double code(double x, double y) {
	return (1.0 - x) - y;
}

Fortran

real(8) function code(x, y)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    code = (1.0d0 - x) - y
end function

↓

real(8) function code(x, y)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    code = (1.0d0 - x) - y
end function

Java

public static double code(double x, double y) {
	return (1.0 - x) - y;
}

↓

public static double code(double x, double y) {
	return (1.0 - x) - y;
}

Python

def code(x, y):
	return (1.0 - x) - y

↓

def code(x, y):
	return (1.0 - x) - y

Julia

function code(x, y)
	return Float64(Float64(1.0 - x) - y)
end

↓

function code(x, y)
	return Float64(Float64(1.0 - x) - y)
end

MATLAB

function tmp = code(x, y)
	tmp = (1.0 - x) - y;
end

↓

function tmp = code(x, y)
	tmp = (1.0 - x) - y;
end

Wolfram

code[x_, y_] := N[(N[(1.0 - x), $MachinePrecision] - y), $MachinePrecision]

↓

code[x_, y_] := N[(N[(1.0 - x), $MachinePrecision] - y), $MachinePrecision]

Derivation

1. Initial program 100.0%

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

2. Final simplification 100.0%

   \[\leadsto \left(1 - x\right) - y \]

Alternatives

Alternative 1
Accuracy	83.8%
Cost	1752

\[\begin{array}{l} \mathbf{if}\;1 - x \leq -1 \cdot 10^{+140}:\\ \;\;\;\;-x\\ \mathbf{elif}\;1 - x \leq -1 \cdot 10^{+68}:\\ \;\;\;\;-y\\ \mathbf{elif}\;1 - x \leq -1000000000000:\\ \;\;\;\;1 - x\\ \mathbf{elif}\;1 - x \leq 2:\\ \;\;\;\;1 - y\\ \mathbf{elif}\;1 - x \leq 2 \cdot 10^{+19}:\\ \;\;\;\;1 - x\\ \mathbf{elif}\;1 - x \leq 5 \cdot 10^{+56}:\\ \;\;\;\;1 - y\\ \mathbf{else}:\\ \;\;\;\;-x\\ \end{array} \]

Alternative 2
Accuracy	86.1%
Cost	456

\[\begin{array}{l} \mathbf{if}\;y \leq -1.35 \cdot 10^{+47}:\\ \;\;\;\;-y\\ \mathbf{elif}\;y \leq 1.4 \cdot 10^{+50}:\\ \;\;\;\;1 - x\\ \mathbf{else}:\\ \;\;\;\;-y\\ \end{array} \]

Alternative 3
Accuracy	62.7%
Cost	392

\[\begin{array}{l} \mathbf{if}\;y \leq -6.6 \cdot 10^{+31}:\\ \;\;\;\;-y\\ \mathbf{elif}\;y \leq 5.5 \cdot 10^{+47}:\\ \;\;\;\;-x\\ \mathbf{else}:\\ \;\;\;\;-y\\ \end{array} \]

Alternative 4
Accuracy	37.9%
Cost	128

\[-x \]

Reproduce

herbie shell --seed 2023157 
(FPCore (x y)
  :name "Data.Colour.CIE.Chromaticity:chromaCoords from colour-2.3.3"
  :precision binary64
  (- (- 1.0 x) y))