Average Error: 15.0 → 0.0
Time: 1.5s
Precision: binary64
\[\frac{x - y}{\left(x \cdot 2\right) \cdot y} \]
↓
\[\frac{-0.5}{x} - \frac{-0.5}{y} \]
(FPCore (x y) :precision binary64 (/ (- x y) (* (* x 2.0) y)))
↓
(FPCore (x y) :precision binary64 (- (/ -0.5 x) (/ -0.5 y)))
double code(double x, double y) {
	return (x - y) / ((x * 2.0) * y);
}
↓
double code(double x, double y) {
	return (-0.5 / x) - (-0.5 / y);
}

real(8) function code(x, y)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    code = (x - y) / ((x * 2.0d0) * y)
end function
↓
real(8) function code(x, y)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    code = ((-0.5d0) / x) - ((-0.5d0) / y)
end function

public static double code(double x, double y) {
	return (x - y) / ((x * 2.0) * y);
}
↓
public static double code(double x, double y) {
	return (-0.5 / x) - (-0.5 / y);
}

def code(x, y):
	return (x - y) / ((x * 2.0) * y)
↓
def code(x, y):
	return (-0.5 / x) - (-0.5 / y)

function code(x, y)
	return Float64(Float64(x - y) / Float64(Float64(x * 2.0) * y))
end
↓
function code(x, y)
	return Float64(Float64(-0.5 / x) - Float64(-0.5 / y))
end

function tmp = code(x, y)
	tmp = (x - y) / ((x * 2.0) * y);
end
↓
function tmp = code(x, y)
	tmp = (-0.5 / x) - (-0.5 / y);
end

code[x_, y_] := N[(N[(x - y), $MachinePrecision] / N[(N[(x * 2.0), $MachinePrecision] * y), $MachinePrecision]), $MachinePrecision]
↓
code[x_, y_] := N[(N[(-0.5 / x), $MachinePrecision] - N[(-0.5 / y), $MachinePrecision]), $MachinePrecision]

\frac{x - y}{\left(x \cdot 2\right) \cdot y}
↓
\frac{-0.5}{x} - \frac{-0.5}{y}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original15.0
Target0.0
Herbie0.0
\[\frac{0.5}{y} - \frac{0.5}{x} \]

Derivation

  1. Initial program 15.0

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

  2. Simplified0.0

    \[\leadsto \color{blue}{\frac{-0.5}{x} - \frac{-0.5}{y}} \]

  3. Final simplification0.0

    \[\leadsto \frac{-0.5}{x} - \frac{-0.5}{y} \]

Reproduce

herbie shell --seed 2022150 
(FPCore (x y)
  :name "Linear.Projection:inversePerspective from linear-1.19.1.3, B"
  :precision binary64

  :herbie-target
  (- (/ 0.5 y) (/ 0.5 x))

  (/ (- x y) (* (* x 2.0) y)))