Average Error: 0.0 → 0.0
Time: 784.0ms
Precision: binary64
\[\sqrt{\left|x - y\right|} \]
↓
\[\sqrt{\left|x - y\right|} \]
(FPCore (x y) :precision binary64 (sqrt (fabs (- x y))))
↓
(FPCore (x y) :precision binary64 (sqrt (fabs (- x y))))
double code(double x, double y) {
	return sqrt(fabs((x - y)));
}
↓
double code(double x, double y) {
	return sqrt(fabs((x - y)));
}

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

public static double code(double x, double y) {
	return Math.sqrt(Math.abs((x - y)));
}
↓
public static double code(double x, double y) {
	return Math.sqrt(Math.abs((x - y)));
}

def code(x, y):
	return math.sqrt(math.fabs((x - y)))
↓
def code(x, y):
	return math.sqrt(math.fabs((x - y)))

function code(x, y)
	return sqrt(abs(Float64(x - y)))
end
↓
function code(x, y)
	return sqrt(abs(Float64(x - y)))
end

function tmp = code(x, y)
	tmp = sqrt(abs((x - y)));
end
↓
function tmp = code(x, y)
	tmp = sqrt(abs((x - y)));
end

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

\sqrt{\left|x - y\right|}
↓
\sqrt{\left|x - y\right|}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\sqrt{\left|x - y\right|} \]

  2. Final simplification0.0

    \[\leadsto \sqrt{\left|x - y\right|} \]

Reproduce

herbie shell --seed 2022150 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))