Average Error: 0.0 → 0.0
Time: 1.3s
Precision: binary64
\[x \cdot x - y \cdot y \]
↓
\[\left(x - y\right) \cdot \left(x + y\right) \]
(FPCore (x y) :precision binary64 (- (* x x) (* y y)))
↓
(FPCore (x y) :precision binary64 (* (- x y) (+ x y)))
double code(double x, double y) {
	return (x * x) - (y * y);
}
↓
double code(double x, double y) {
	return (x - y) * (x + y);
}

real(8) function code(x, y)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    code = (x * x) - (y * y)
end function
↓
real(8) function code(x, y)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    code = (x - y) * (x + y)
end function

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

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

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

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

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

x \cdot x - y \cdot y
↓
\left(x - y\right) \cdot \left(x + y\right)

Error

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[x \cdot x - y \cdot y \]

  2. Applied egg-rr0.0

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

  3. Final simplification0.0

    \[\leadsto \left(x - y\right) \cdot \left(x + y\right) \]

Reproduce

herbie shell --seed 2022210 
(FPCore (x y)
  :name "Examples.Basics.BasicTests:f2 from sbv-4.4"
  :precision binary64
  (- (* x x) (* y y)))