?

Average Error: 0.0 → 0.0
Time: 2.7s
Precision: binary64
Cost: 320

?

\[-1.79 \cdot 10^{+308} \leq x \land x \leq 1.79 \cdot 10^{+308}\]
\[\frac{1}{x - 0.5} \]
↓
\[\frac{1}{x + -0.5} \]
(FPCore (x) :precision binary64 (/ 1.0 (- x 0.5)))
↓
(FPCore (x) :precision binary64 (/ 1.0 (+ x -0.5)))
double code(double x) {
	return 1.0 / (x - 0.5);
}
↓
double code(double x) {
	return 1.0 / (x + -0.5);
}

real(8) function code(x)
    real(8), intent (in) :: x
    code = 1.0d0 / (x - 0.5d0)
end function
↓
real(8) function code(x)
    real(8), intent (in) :: x
    code = 1.0d0 / (x + (-0.5d0))
end function

public static double code(double x) {
	return 1.0 / (x - 0.5);
}
↓
public static double code(double x) {
	return 1.0 / (x + -0.5);
}

def code(x):
	return 1.0 / (x - 0.5)
↓
def code(x):
	return 1.0 / (x + -0.5)

function code(x)
	return Float64(1.0 / Float64(x - 0.5))
end
↓
function code(x)
	return Float64(1.0 / Float64(x + -0.5))
end

function tmp = code(x)
	tmp = 1.0 / (x - 0.5);
end
↓
function tmp = code(x)
	tmp = 1.0 / (x + -0.5);
end

code[x_] := N[(1.0 / N[(x - 0.5), $MachinePrecision]), $MachinePrecision]
↓
code[x_] := N[(1.0 / N[(x + -0.5), $MachinePrecision]), $MachinePrecision]

\frac{1}{x - 0.5}
↓
\frac{1}{x + -0.5}

Error?

Try it out?

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation?

  1. Initial program 0.0

    \[\frac{1}{x - 0.5} \]

  2. Final simplification0.0

    \[\leadsto \frac{1}{x + -0.5} \]

Alternatives

Alternative 1
Error1.0
Cost584
\[\begin{array}{l} \mathbf{if}\;x \leq -0.38:\\ \;\;\;\;\frac{1}{x}\\ \mathbf{elif}\;x \leq 0.5:\\ \;\;\;\;x \cdot -4 + -2\\ \mathbf{else}:\\ \;\;\;\;\frac{1}{x}\\ \end{array} \]
Alternative 2
Error1.3
Cost456
\[\begin{array}{l} \mathbf{if}\;x \leq -0.5:\\ \;\;\;\;\frac{1}{x}\\ \mathbf{elif}\;x \leq 0.5:\\ \;\;\;\;-2\\ \mathbf{else}:\\ \;\;\;\;\frac{1}{x}\\ \end{array} \]
Alternative 3
Error31.5
Cost64
\[-2 \]

Error

Reproduce?

herbie shell --seed 1 
(FPCore (x)
  :name "1 / (x - 0.5)"
  :precision binary64
  :pre (and (<= -1.79e+308 x) (<= x 1.79e+308))
  (/ 1.0 (- x 0.5)))