Average Error: 0.0 → 0.0
Time: 2.2s
Precision: binary64
\[\frac{x - y}{1 - y} \]
↓
\[\frac{x}{1 - y} - \frac{y}{1 - y} \]
(FPCore (x y) :precision binary64 (/ (- x y) (- 1.0 y)))
↓
(FPCore (x y) :precision binary64 (- (/ x (- 1.0 y)) (/ y (- 1.0 y))))
double code(double x, double y) {
	return (x - y) / (1.0 - y);
}
↓
double code(double x, double y) {
	return (x / (1.0 - y)) - (y / (1.0 - y));
}

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

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

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

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

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

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

\frac{x - y}{1 - y}
↓
\frac{x}{1 - y} - \frac{y}{1 - y}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\frac{x - y}{1 - y} \]

  2. Taylor expanded in x around 0 0.0

    \[\leadsto \color{blue}{\frac{x}{1 - y} - \frac{y}{1 - y}} \]

  3. Final simplification0.0

    \[\leadsto \frac{x}{1 - y} - \frac{y}{1 - y} \]

Reproduce

herbie shell --seed 2022156 
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (/ (- x y) (- 1.0 y)))