Alternative 1 | |
---|---|
Error | 0.7 |
Cost | 6848 |
\[x \cdot 0.5 + \left(1 - \sqrt{x}\right)
\]
(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 | 0.7 |
Cost | 6848 |
Alternative 2 | |
---|---|
Error | 0.7 |
Cost | 6848 |
Alternative 3 | |
---|---|
Error | 2.9 |
Cost | 64 |
herbie shell --seed 1
(FPCore (x)
:name "sqrt(x+1) - sqrt(x)"
:precision binary64
:pre (and (<= -1.79e+308 x) (<= x 1.0))
(- (sqrt (+ x 1.0)) (sqrt x)))