(FPCore (x) :precision binary64 (sqrt (- 1.0 (* x x))))
(FPCore (x) :precision binary64 (sqrt (- 1.0 (* x x))))
double code(double x) { return sqrt((1.0 - (x * x))); }
double code(double x) { return sqrt((1.0 - (x * x))); }
real(8) function code(x) real(8), intent (in) :: x code = sqrt((1.0d0 - (x * x))) end function
real(8) function code(x) real(8), intent (in) :: x code = sqrt((1.0d0 - (x * x))) end function
public static double code(double x) { return Math.sqrt((1.0 - (x * x))); }
public static double code(double x) { return Math.sqrt((1.0 - (x * x))); }
def code(x): return math.sqrt((1.0 - (x * x)))
def code(x): return math.sqrt((1.0 - (x * x)))
function code(x) return sqrt(Float64(1.0 - Float64(x * x))) end
function code(x) return sqrt(Float64(1.0 - Float64(x * x))) end
function tmp = code(x) tmp = sqrt((1.0 - (x * x))); end
function tmp = code(x) tmp = sqrt((1.0 - (x * x))); end
code[x_] := N[Sqrt[N[(1.0 - N[(x * x), $MachinePrecision]), $MachinePrecision]], $MachinePrecision]
code[x_] := N[Sqrt[N[(1.0 - N[(x * x), $MachinePrecision]), $MachinePrecision]], $MachinePrecision]
\sqrt{1 - x \cdot x}
\sqrt{1 - x \cdot x}
Results
Initial program 0
Final simplification0
herbie shell --seed 1
(FPCore (x)
:name "sqrt(1-x*x)"
:precision binary64
:pre (and (<= 0.0 x) (<= x 1e-9))
(sqrt (- 1.0 (* x x))))