Average Error: 0.0 → 0.0
Time: 3.9s
Precision: binary64
\[\frac{x - y}{2 - \left(x + y\right)} \]
↓
\[\begin{array}{l} t_0 := y + \left(x + -2\right)\\ \frac{y}{t_0} - \frac{x}{t_0} \end{array} \]
(FPCore (x y) :precision binary64 (/ (- x y) (- 2.0 (+ x y))))
↓
(FPCore (x y)
 :precision binary64
 (let* ((t_0 (+ y (+ x -2.0)))) (- (/ y t_0) (/ x t_0))))
double code(double x, double y) {
	return (x - y) / (2.0 - (x + y));
}
↓
double code(double x, double y) {
	double t_0 = y + (x + -2.0);
	return (y / t_0) - (x / t_0);
}

real(8) function code(x, y)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    code = (x - y) / (2.0d0 - (x + y))
end function
↓
real(8) function code(x, y)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8) :: t_0
    t_0 = y + (x + (-2.0d0))
    code = (y / t_0) - (x / t_0)
end function

public static double code(double x, double y) {
	return (x - y) / (2.0 - (x + y));
}
↓
public static double code(double x, double y) {
	double t_0 = y + (x + -2.0);
	return (y / t_0) - (x / t_0);
}

def code(x, y):
	return (x - y) / (2.0 - (x + y))
↓
def code(x, y):
	t_0 = y + (x + -2.0)
	return (y / t_0) - (x / t_0)

function code(x, y)
	return Float64(Float64(x - y) / Float64(2.0 - Float64(x + y)))
end
↓
function code(x, y)
	t_0 = Float64(y + Float64(x + -2.0))
	return Float64(Float64(y / t_0) - Float64(x / t_0))
end

function tmp = code(x, y)
	tmp = (x - y) / (2.0 - (x + y));
end
↓
function tmp = code(x, y)
	t_0 = y + (x + -2.0);
	tmp = (y / t_0) - (x / t_0);
end

code[x_, y_] := N[(N[(x - y), $MachinePrecision] / N[(2.0 - N[(x + y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]
↓
code[x_, y_] := Block[{t$95$0 = N[(y + N[(x + -2.0), $MachinePrecision]), $MachinePrecision]}, N[(N[(y / t$95$0), $MachinePrecision] - N[(x / t$95$0), $MachinePrecision]), $MachinePrecision]]

\frac{x - y}{2 - \left(x + y\right)}
↓
\begin{array}{l}
t_0 := y + \left(x + -2\right)\\
\frac{y}{t_0} - \frac{x}{t_0}
\end{array}

Error

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.0
Target0.0
Herbie0.0
\[\frac{x}{2 - \left(x + y\right)} - \frac{y}{2 - \left(x + y\right)} \]

Derivation

  1. Initial program 0.0

    \[\frac{x - y}{2 - \left(x + y\right)} \]

  2. Simplified0.0

    \[\leadsto \color{blue}{\frac{y - x}{x + \left(y + -2\right)}} \]

  3. Applied egg-rr0.0

    \[\leadsto \color{blue}{\frac{y}{\left(x + -2\right) + y} - \frac{x}{\left(x + -2\right) + y}} \]

  4. Final simplification0.0

    \[\leadsto \frac{y}{y + \left(x + -2\right)} - \frac{x}{y + \left(x + -2\right)} \]

Reproduce

herbie shell --seed 2022211 
(FPCore (x y)
  :name "Data.Colour.RGB:hslsv from colour-2.3.3, C"
  :precision binary64

  :herbie-target
  (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))

  (/ (- x y) (- 2.0 (+ x y))))