Alternative 1 | |
---|---|
Error | 0.2 |
Cost | 12928 |
\[{\cos x}^{-2}
\]
(FPCore (x) :precision binary64 (/ 1.0 (pow (cos x) 2.0)))
(FPCore (x) :precision binary64 (sqrt (pow (cos x) -4.0)))
double code(double x) { return 1.0 / pow(cos(x), 2.0); }
double code(double x) { return sqrt(pow(cos(x), -4.0)); }
real(8) function code(x) real(8), intent (in) :: x code = 1.0d0 / (cos(x) ** 2.0d0) end function
real(8) function code(x) real(8), intent (in) :: x code = sqrt((cos(x) ** (-4.0d0))) end function
public static double code(double x) { return 1.0 / Math.pow(Math.cos(x), 2.0); }
public static double code(double x) { return Math.sqrt(Math.pow(Math.cos(x), -4.0)); }
def code(x): return 1.0 / math.pow(math.cos(x), 2.0)
def code(x): return math.sqrt(math.pow(math.cos(x), -4.0))
function code(x) return Float64(1.0 / (cos(x) ^ 2.0)) end
function code(x) return sqrt((cos(x) ^ -4.0)) end
function tmp = code(x) tmp = 1.0 / (cos(x) ^ 2.0); end
function tmp = code(x) tmp = sqrt((cos(x) ^ -4.0)); end
code[x_] := N[(1.0 / N[Power[N[Cos[x], $MachinePrecision], 2.0], $MachinePrecision]), $MachinePrecision]
code[x_] := N[Sqrt[N[Power[N[Cos[x], $MachinePrecision], -4.0], $MachinePrecision]], $MachinePrecision]
\frac{1}{{\cos x}^{2}}
\sqrt{{\cos x}^{-4}}
Results
Initial program 0.2
Applied egg-rr0.2
Final simplification0.2
Alternative 1 | |
---|---|
Error | 0.2 |
Cost | 12928 |
Alternative 2 | |
---|---|
Error | 0.5 |
Cost | 6848 |
Alternative 3 | |
---|---|
Error | 25.6 |
Cost | 64 |
herbie shell --seed 1
(FPCore (x)
:name "1 / pow(cos(x), 2)"
:precision binary64
(/ 1.0 (pow (cos x) 2.0)))