Alternative 1 | |
---|---|
Error | 0.0 |
Cost | 6848 |
\[\frac{x}{1 + \sqrt{x + 1}}
\]
(FPCore (x) :precision binary64 (- (sqrt (+ x 1.0)) 1.0))
(FPCore (x) :precision binary64 (* x (/ 1.0 (+ 1.0 (sqrt (+ x 1.0))))))
double code(double x) { return sqrt((x + 1.0)) - 1.0; }
double code(double x) { return x * (1.0 / (1.0 + sqrt((x + 1.0)))); }
real(8) function code(x) real(8), intent (in) :: x code = sqrt((x + 1.0d0)) - 1.0d0 end function
real(8) function code(x) real(8), intent (in) :: x code = x * (1.0d0 / (1.0d0 + sqrt((x + 1.0d0)))) end function
public static double code(double x) { return Math.sqrt((x + 1.0)) - 1.0; }
public static double code(double x) { return x * (1.0 / (1.0 + Math.sqrt((x + 1.0)))); }
def code(x): return math.sqrt((x + 1.0)) - 1.0
def code(x): return x * (1.0 / (1.0 + math.sqrt((x + 1.0))))
function code(x) return Float64(sqrt(Float64(x + 1.0)) - 1.0) end
function code(x) return Float64(x * Float64(1.0 / Float64(1.0 + sqrt(Float64(x + 1.0))))) end
function tmp = code(x) tmp = sqrt((x + 1.0)) - 1.0; end
function tmp = code(x) tmp = x * (1.0 / (1.0 + sqrt((x + 1.0)))); end
code[x_] := N[(N[Sqrt[N[(x + 1.0), $MachinePrecision]], $MachinePrecision] - 1.0), $MachinePrecision]
code[x_] := N[(x * N[(1.0 / N[(1.0 + N[Sqrt[N[(x + 1.0), $MachinePrecision]], $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]
\sqrt{x + 1} - 1
x \cdot \frac{1}{1 + \sqrt{x + 1}}
Results
Initial program 58.6
Applied egg-rr0.0
Final simplification0.0
Alternative 1 | |
---|---|
Error | 0.0 |
Cost | 6848 |
Alternative 2 | |
---|---|
Error | 0.6 |
Cost | 448 |
Alternative 3 | |
---|---|
Error | 0.6 |
Cost | 448 |
Alternative 4 | |
---|---|
Error | 1.3 |
Cost | 192 |
herbie shell --seed 1
(FPCore (x)
:name "sqrt(x+1)-1"
:precision binary64
:pre (and (<= 0.0 x) (<= x 1.0))
(- (sqrt (+ x 1.0)) 1.0))