Average Error: 0.0 → 0.0
Time: 7.2s
Precision: binary64
Cost: 576
\[\frac{x - y}{2 - \left(x + y\right)} \]
↓
\[\frac{x - y}{2 - \left(x + y\right)} \]
(FPCore (x y) :precision binary64 (/ (- x y) (- 2.0 (+ x y))))
↓
(FPCore (x y) :precision binary64 (/ (- x y) (- 2.0 (+ x y))))
double code(double x, double y) {
	return (x - y) / (2.0 - (x + y));
}
↓
double code(double x, double y) {
	return (x - y) / (2.0 - (x + y));
}

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
    code = (x - y) / (2.0d0 - (x + y))
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) {
	return (x - y) / (2.0 - (x + y));
}

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

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

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

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

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

Error

Try it out

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. Final simplification0.0

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

Alternatives

Alternative 1
Error16.1
Cost976
\[\begin{array}{l} t_0 := 1 + \frac{x \cdot -2}{y}\\ \mathbf{if}\;y \leq -1600000000:\\ \;\;\;\;\frac{y}{y + -2}\\ \mathbf{elif}\;y \leq 9 \cdot 10^{+15}:\\ \;\;\;\;\frac{x}{2 - x}\\ \mathbf{elif}\;y \leq 2.8 \cdot 10^{+53}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;y \leq 4.5 \cdot 10^{+74}:\\ \;\;\;\;-1\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 2
Error16.1
Cost976
\[\begin{array}{l} t_0 := 1 + \frac{x \cdot -2}{y}\\ \mathbf{if}\;y \leq -1350000000:\\ \;\;\;\;\frac{y}{y + -2}\\ \mathbf{elif}\;y \leq 3.05 \cdot 10^{+16}:\\ \;\;\;\;\frac{x}{2 - x}\\ \mathbf{elif}\;y \leq 2.8 \cdot 10^{+53}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;y \leq 2.2 \cdot 10^{+70}:\\ \;\;\;\;2 \cdot \frac{y}{x} + -1\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 3
Error16.2
Cost976
\[\begin{array}{l} t_0 := 1 + \frac{x \cdot -2}{y}\\ \mathbf{if}\;y \leq -700000000:\\ \;\;\;\;1 + \frac{\left(2 - x\right) - x}{y}\\ \mathbf{elif}\;y \leq 2.15 \cdot 10^{+16}:\\ \;\;\;\;\frac{x}{2 - x}\\ \mathbf{elif}\;y \leq 2.5 \cdot 10^{+53}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;y \leq 7.4 \cdot 10^{+87}:\\ \;\;\;\;2 \cdot \frac{y}{x} + -1\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 4
Error23.8
Cost856
\[\begin{array}{l} \mathbf{if}\;y \leq -1600000000:\\ \;\;\;\;1\\ \mathbf{elif}\;y \leq 8.5 \cdot 10^{-69}:\\ \;\;\;\;-1\\ \mathbf{elif}\;y \leq 3.4 \cdot 10^{-44}:\\ \;\;\;\;y \cdot -0.5\\ \mathbf{elif}\;y \leq 9.2 \cdot 10^{+14}:\\ \;\;\;\;-1\\ \mathbf{elif}\;y \leq 2.4 \cdot 10^{+53}:\\ \;\;\;\;1\\ \mathbf{elif}\;y \leq 2 \cdot 10^{+70}:\\ \;\;\;\;-1\\ \mathbf{else}:\\ \;\;\;\;1\\ \end{array} \]
Alternative 5
Error24.2
Cost592
\[\begin{array}{l} \mathbf{if}\;y \leq -820000000:\\ \;\;\;\;1\\ \mathbf{elif}\;y \leq 1.9 \cdot 10^{+17}:\\ \;\;\;\;-1\\ \mathbf{elif}\;y \leq 2.4 \cdot 10^{+53}:\\ \;\;\;\;1\\ \mathbf{elif}\;y \leq 10^{+88}:\\ \;\;\;\;-1\\ \mathbf{else}:\\ \;\;\;\;1\\ \end{array} \]
Alternative 6
Error16.3
Cost592
\[\begin{array}{l} \mathbf{if}\;y \leq -1450000000:\\ \;\;\;\;1\\ \mathbf{elif}\;y \leq 2.1 \cdot 10^{+15}:\\ \;\;\;\;\frac{x}{2 - x}\\ \mathbf{elif}\;y \leq 1.4 \cdot 10^{+53}:\\ \;\;\;\;1\\ \mathbf{elif}\;y \leq 2 \cdot 10^{+70}:\\ \;\;\;\;-1\\ \mathbf{else}:\\ \;\;\;\;1\\ \end{array} \]
Alternative 7
Error16.3
Cost592
\[\begin{array}{l} \mathbf{if}\;y \leq -1350000000:\\ \;\;\;\;\frac{y}{y + -2}\\ \mathbf{elif}\;y \leq 3.5 \cdot 10^{+18}:\\ \;\;\;\;\frac{x}{2 - x}\\ \mathbf{elif}\;y \leq 3 \cdot 10^{+53}:\\ \;\;\;\;1\\ \mathbf{elif}\;y \leq 2 \cdot 10^{+70}:\\ \;\;\;\;-1\\ \mathbf{else}:\\ \;\;\;\;1\\ \end{array} \]
Alternative 8
Error39.3
Cost64
\[-1 \]

Error

Reproduce

herbie shell --seed 2022325 
(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))))