?

Average Error: 0.0 → 0.0
Time: 1.4s
Precision: binary64
Cost: 448

?

\[re \cdot re - im \cdot im \]
\[\left(re - im\right) \cdot \left(re + im\right) \]
(FPCore re_sqr (re im) :precision binary64 (- (* re re) (* im im)))
(FPCore re_sqr (re im) :precision binary64 (* (- re im) (+ re im)))
double re_sqr(double re, double im) {
	return (re * re) - (im * im);
}
double re_sqr(double re, double im) {
	return (re - im) * (re + im);
}
real(8) function re_sqr(re, im)
    real(8), intent (in) :: re
    real(8), intent (in) :: im
    re_sqr = (re * re) - (im * im)
end function
real(8) function re_sqr(re, im)
    real(8), intent (in) :: re
    real(8), intent (in) :: im
    re_sqr = (re - im) * (re + im)
end function
public static double re_sqr(double re, double im) {
	return (re * re) - (im * im);
}
public static double re_sqr(double re, double im) {
	return (re - im) * (re + im);
}
def re_sqr(re, im):
	return (re * re) - (im * im)
def re_sqr(re, im):
	return (re - im) * (re + im)
function re_sqr(re, im)
	return Float64(Float64(re * re) - Float64(im * im))
end
function re_sqr(re, im)
	return Float64(Float64(re - im) * Float64(re + im))
end
function tmp = re_sqr(re, im)
	tmp = (re * re) - (im * im);
end
function tmp = re_sqr(re, im)
	tmp = (re - im) * (re + im);
end
re$95$sqr[re_, im_] := N[(N[(re * re), $MachinePrecision] - N[(im * im), $MachinePrecision]), $MachinePrecision]
re$95$sqr[re_, im_] := N[(N[(re - im), $MachinePrecision] * N[(re + im), $MachinePrecision]), $MachinePrecision]
re \cdot re - im \cdot im
\left(re - im\right) \cdot \left(re + im\right)

Error?

Try it out?

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation?

  1. Initial program 0.0

    \[re \cdot re - im \cdot im \]
  2. Applied egg-rr0.0

    \[\leadsto \color{blue}{\left(re - im\right) \cdot \left(re + im\right)} \]
  3. Final simplification0.0

    \[\leadsto \left(re - im\right) \cdot \left(re + im\right) \]

Reproduce?

herbie shell --seed 2023066 
(FPCore re_sqr (re im)
  :name "math.square on complex, real part"
  :precision binary64
  (- (* re re) (* im im)))