Alternative 1 | |
---|---|
Error | 1.2 |
Cost | 6848 |
\[\sqrt{x} + \left(1 + x \cdot 0.5\right)
\]
(FPCore (x) :precision binary64 (+ (sqrt (+ x 1.0)) (sqrt x)))
(FPCore (x) :precision binary64 (+ (sqrt (+ x 1.0)) (sqrt x)))
double code(double x) { return sqrt((x + 1.0)) + sqrt(x); }
double code(double x) { return sqrt((x + 1.0)) + sqrt(x); }
real(8) function code(x) real(8), intent (in) :: x code = sqrt((x + 1.0d0)) + sqrt(x) end function
real(8) function code(x) real(8), intent (in) :: x code = sqrt((x + 1.0d0)) + sqrt(x) end function
public static double code(double x) { return Math.sqrt((x + 1.0)) + Math.sqrt(x); }
public static double code(double x) { return Math.sqrt((x + 1.0)) + Math.sqrt(x); }
def code(x): return math.sqrt((x + 1.0)) + math.sqrt(x)
def code(x): return math.sqrt((x + 1.0)) + math.sqrt(x)
function code(x) return Float64(sqrt(Float64(x + 1.0)) + sqrt(x)) end
function code(x) return Float64(sqrt(Float64(x + 1.0)) + sqrt(x)) end
function tmp = code(x) tmp = sqrt((x + 1.0)) + sqrt(x); end
function tmp = code(x) tmp = sqrt((x + 1.0)) + sqrt(x); end
code[x_] := N[(N[Sqrt[N[(x + 1.0), $MachinePrecision]], $MachinePrecision] + N[Sqrt[x], $MachinePrecision]), $MachinePrecision]
code[x_] := N[(N[Sqrt[N[(x + 1.0), $MachinePrecision]], $MachinePrecision] + N[Sqrt[x], $MachinePrecision]), $MachinePrecision]
\sqrt{x + 1} + \sqrt{x}
\sqrt{x + 1} + \sqrt{x}
Results
Initial program 0.0
Final simplification0.0
Alternative 1 | |
---|---|
Error | 1.2 |
Cost | 6848 |
Alternative 2 | |
---|---|
Error | 3.3 |
Cost | 64 |
herbie shell --seed 1
(FPCore (x)
:name "sqrt(x+1) + sqrt(x)"
:precision binary64
:pre (and (<= -1000.0 x) (<= x 1000.0))
(+ (sqrt (+ x 1.0)) (sqrt x)))