\[\frac{2}{\left(\left(\frac{{t}^{3}}{\ell \cdot \ell} \cdot \sin k\right) \cdot \tan k\right) \cdot \left(\left(1 + {\left(\frac{k}{t}\right)}^{2}\right) - 1\right)}
\]
↓
\[\begin{array}{l}
t_1 := \frac{2}{\left(\frac{k}{\frac{\cos k}{\frac{{\sin k}^{2}}{\ell}}} \cdot t\right) \cdot \frac{k}{\ell}}\\
\mathbf{if}\;k \leq -1 \cdot 10^{-100}:\\
\;\;\;\;t_1\\
\mathbf{elif}\;k \leq 10^{-150}:\\
\;\;\;\;\frac{{\left(\frac{\ell}{k}\right)}^{2} \cdot \frac{2}{k}}{k \cdot t}\\
\mathbf{else}:\\
\;\;\;\;t_1\\
\end{array}
\]
(FPCore (t l k)
:precision binary64
(/
2.0
(*
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
(- (+ 1.0 (pow (/ k t) 2.0)) 1.0))))
↓
(FPCore (t l k)
:precision binary64
(let* ((t_1
(/ 2.0 (* (* (/ k (/ (cos k) (/ (pow (sin k) 2.0) l))) t) (/ k l)))))
(if (<= k -1e-100)
t_1
(if (<= k 1e-150) (/ (* (pow (/ l k) 2.0) (/ 2.0 k)) (* k t)) t_1))))double code(double t, double l, double k) {
return 2.0 / ((((pow(t, 3.0) / (l * l)) * sin(k)) * tan(k)) * ((1.0 + pow((k / t), 2.0)) - 1.0));
}
↓
double code(double t, double l, double k) {
double t_1 = 2.0 / (((k / (cos(k) / (pow(sin(k), 2.0) / l))) * t) * (k / l));
double tmp;
if (k <= -1e-100) {
tmp = t_1;
} else if (k <= 1e-150) {
tmp = (pow((l / k), 2.0) * (2.0 / k)) / (k * t);
} else {
tmp = t_1;
}
return tmp;
}
real(8) function code(t, l, k)
real(8), intent (in) :: t
real(8), intent (in) :: l
real(8), intent (in) :: k
code = 2.0d0 / (((((t ** 3.0d0) / (l * l)) * sin(k)) * tan(k)) * ((1.0d0 + ((k / t) ** 2.0d0)) - 1.0d0))
end function
↓
real(8) function code(t, l, k)
real(8), intent (in) :: t
real(8), intent (in) :: l
real(8), intent (in) :: k
real(8) :: t_1
real(8) :: tmp
t_1 = 2.0d0 / (((k / (cos(k) / ((sin(k) ** 2.0d0) / l))) * t) * (k / l))
if (k <= (-1d-100)) then
tmp = t_1
else if (k <= 1d-150) then
tmp = (((l / k) ** 2.0d0) * (2.0d0 / k)) / (k * t)
else
tmp = t_1
end if
code = tmp
end function
public static double code(double t, double l, double k) {
return 2.0 / ((((Math.pow(t, 3.0) / (l * l)) * Math.sin(k)) * Math.tan(k)) * ((1.0 + Math.pow((k / t), 2.0)) - 1.0));
}
↓
public static double code(double t, double l, double k) {
double t_1 = 2.0 / (((k / (Math.cos(k) / (Math.pow(Math.sin(k), 2.0) / l))) * t) * (k / l));
double tmp;
if (k <= -1e-100) {
tmp = t_1;
} else if (k <= 1e-150) {
tmp = (Math.pow((l / k), 2.0) * (2.0 / k)) / (k * t);
} else {
tmp = t_1;
}
return tmp;
}
def code(t, l, k):
return 2.0 / ((((math.pow(t, 3.0) / (l * l)) * math.sin(k)) * math.tan(k)) * ((1.0 + math.pow((k / t), 2.0)) - 1.0))
↓
def code(t, l, k):
t_1 = 2.0 / (((k / (math.cos(k) / (math.pow(math.sin(k), 2.0) / l))) * t) * (k / l))
tmp = 0
if k <= -1e-100:
tmp = t_1
elif k <= 1e-150:
tmp = (math.pow((l / k), 2.0) * (2.0 / k)) / (k * t)
else:
tmp = t_1
return tmp
function code(t, l, k)
return Float64(2.0 / Float64(Float64(Float64(Float64((t ^ 3.0) / Float64(l * l)) * sin(k)) * tan(k)) * Float64(Float64(1.0 + (Float64(k / t) ^ 2.0)) - 1.0)))
end
↓
function code(t, l, k)
t_1 = Float64(2.0 / Float64(Float64(Float64(k / Float64(cos(k) / Float64((sin(k) ^ 2.0) / l))) * t) * Float64(k / l)))
tmp = 0.0
if (k <= -1e-100)
tmp = t_1;
elseif (k <= 1e-150)
tmp = Float64(Float64((Float64(l / k) ^ 2.0) * Float64(2.0 / k)) / Float64(k * t));
else
tmp = t_1;
end
return tmp
end
function tmp = code(t, l, k)
tmp = 2.0 / (((((t ^ 3.0) / (l * l)) * sin(k)) * tan(k)) * ((1.0 + ((k / t) ^ 2.0)) - 1.0));
end
↓
function tmp_2 = code(t, l, k)
t_1 = 2.0 / (((k / (cos(k) / ((sin(k) ^ 2.0) / l))) * t) * (k / l));
tmp = 0.0;
if (k <= -1e-100)
tmp = t_1;
elseif (k <= 1e-150)
tmp = (((l / k) ^ 2.0) * (2.0 / k)) / (k * t);
else
tmp = t_1;
end
tmp_2 = tmp;
end
code[t_, l_, k_] := N[(2.0 / N[(N[(N[(N[(N[Power[t, 3.0], $MachinePrecision] / N[(l * l), $MachinePrecision]), $MachinePrecision] * N[Sin[k], $MachinePrecision]), $MachinePrecision] * N[Tan[k], $MachinePrecision]), $MachinePrecision] * N[(N[(1.0 + N[Power[N[(k / t), $MachinePrecision], 2.0], $MachinePrecision]), $MachinePrecision] - 1.0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]
↓
code[t_, l_, k_] := Block[{t$95$1 = N[(2.0 / N[(N[(N[(k / N[(N[Cos[k], $MachinePrecision] / N[(N[Power[N[Sin[k], $MachinePrecision], 2.0], $MachinePrecision] / l), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] * t), $MachinePrecision] * N[(k / l), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[k, -1e-100], t$95$1, If[LessEqual[k, 1e-150], N[(N[(N[Power[N[(l / k), $MachinePrecision], 2.0], $MachinePrecision] * N[(2.0 / k), $MachinePrecision]), $MachinePrecision] / N[(k * t), $MachinePrecision]), $MachinePrecision], t$95$1]]]
\frac{2}{\left(\left(\frac{{t}^{3}}{\ell \cdot \ell} \cdot \sin k\right) \cdot \tan k\right) \cdot \left(\left(1 + {\left(\frac{k}{t}\right)}^{2}\right) - 1\right)}
↓
\begin{array}{l}
t_1 := \frac{2}{\left(\frac{k}{\frac{\cos k}{\frac{{\sin k}^{2}}{\ell}}} \cdot t\right) \cdot \frac{k}{\ell}}\\
\mathbf{if}\;k \leq -1 \cdot 10^{-100}:\\
\;\;\;\;t_1\\
\mathbf{elif}\;k \leq 10^{-150}:\\
\;\;\;\;\frac{{\left(\frac{\ell}{k}\right)}^{2} \cdot \frac{2}{k}}{k \cdot t}\\
\mathbf{else}:\\
\;\;\;\;t_1\\
\end{array}
Alternatives
| Alternative 1 |
|---|
| Error | 10.3 |
|---|
| Cost | 20624 |
|---|
\[\begin{array}{l}
t_1 := \ell \cdot \left(\left(\ell \cdot \frac{2}{{\left(k \cdot \sin k\right)}^{2}}\right) \cdot \frac{\cos k}{t}\right)\\
t_2 := \frac{\frac{2}{k}}{k \cdot \left(\frac{\sin k}{\frac{\ell}{\frac{t}{\ell}}} \cdot \tan k\right)}\\
\mathbf{if}\;k \leq -2.2528163600079517 \cdot 10^{+82}:\\
\;\;\;\;t_2\\
\mathbf{elif}\;k \leq -1 \cdot 10^{-100}:\\
\;\;\;\;t_1\\
\mathbf{elif}\;k \leq 10^{-60}:\\
\;\;\;\;\frac{{\left(\frac{\ell}{k}\right)}^{2} \cdot \frac{2}{k}}{k \cdot t}\\
\mathbf{elif}\;k \leq 1.2972514114062709 \cdot 10^{+154}:\\
\;\;\;\;t_1\\
\mathbf{else}:\\
\;\;\;\;t_2\\
\end{array}
\]
| Alternative 2 |
|---|
| Error | 11.3 |
|---|
| Cost | 20360 |
|---|
\[\begin{array}{l}
t_1 := \frac{\frac{2}{k}}{k \cdot \left(\frac{\sin k}{\frac{\ell}{\frac{t}{\ell}}} \cdot \tan k\right)}\\
\mathbf{if}\;k \leq -2.2528163600079517 \cdot 10^{+82}:\\
\;\;\;\;t_1\\
\mathbf{elif}\;k \leq -1 \cdot 10^{-15}:\\
\;\;\;\;\frac{2}{\frac{{\left(k \cdot \sin k\right)}^{2}}{\ell} \cdot \frac{\frac{t}{\cos k}}{\ell}}\\
\mathbf{elif}\;k \leq -1 \cdot 10^{-150}:\\
\;\;\;\;\frac{2 \cdot \frac{\ell}{t}}{k \cdot k} \cdot \frac{\ell}{k \cdot k}\\
\mathbf{elif}\;k \leq 10^{-86}:\\
\;\;\;\;\frac{{\left(\frac{\ell}{k}\right)}^{2} \cdot \frac{2}{k}}{k \cdot t}\\
\mathbf{else}:\\
\;\;\;\;t_1\\
\end{array}
\]
| Alternative 3 |
|---|
| Error | 13.5 |
|---|
| Cost | 14668 |
|---|
\[\begin{array}{l}
t_1 := \frac{\frac{\frac{2}{\frac{\sin k}{\frac{\ell}{\frac{t}{\ell}}} \cdot \tan k}}{k}}{k}\\
\mathbf{if}\;\ell \leq -1.2433673492291347 \cdot 10^{-225}:\\
\;\;\;\;t_1\\
\mathbf{elif}\;\ell \leq 1.5286446776450848 \cdot 10^{-113}:\\
\;\;\;\;\frac{{\left(\frac{\ell}{k}\right)}^{2} \cdot \frac{2}{k}}{k \cdot t}\\
\mathbf{elif}\;\ell \leq 10^{+220}:\\
\;\;\;\;t_1\\
\mathbf{else}:\\
\;\;\;\;\frac{2}{\left(\tan k \cdot \frac{t \cdot \left(\sin k \cdot \frac{t}{\ell}\right)}{\frac{\ell}{t}}\right) \cdot \frac{k}{t \cdot \frac{t}{k}}}\\
\end{array}
\]
| Alternative 4 |
|---|
| Error | 16.0 |
|---|
| Cost | 14024 |
|---|
\[\begin{array}{l}
t_1 := \frac{\frac{2}{k \cdot k}}{\frac{\sin k}{\frac{\ell}{\frac{t}{\ell}}} \cdot \tan k}\\
\mathbf{if}\;k \leq -1 \cdot 10^{-150}:\\
\;\;\;\;t_1\\
\mathbf{elif}\;k \leq 10^{-86}:\\
\;\;\;\;\frac{{\left(\frac{\ell}{k}\right)}^{2} \cdot \frac{2}{k}}{k \cdot t}\\
\mathbf{else}:\\
\;\;\;\;t_1\\
\end{array}
\]
| Alternative 5 |
|---|
| Error | 12.6 |
|---|
| Cost | 14024 |
|---|
\[\begin{array}{l}
t_1 := \frac{\frac{2}{k}}{k \cdot \left(\frac{\sin k}{\frac{\ell}{\frac{t}{\ell}}} \cdot \tan k\right)}\\
\mathbf{if}\;k \leq -1 \cdot 10^{-150}:\\
\;\;\;\;t_1\\
\mathbf{elif}\;k \leq 10^{-86}:\\
\;\;\;\;\frac{{\left(\frac{\ell}{k}\right)}^{2} \cdot \frac{2}{k}}{k \cdot t}\\
\mathbf{else}:\\
\;\;\;\;t_1\\
\end{array}
\]
| Alternative 6 |
|---|
| Error | 12.6 |
|---|
| Cost | 14024 |
|---|
\[\begin{array}{l}
t_1 := \frac{\sin k}{\frac{\ell}{\frac{t}{\ell}}} \cdot \tan k\\
\mathbf{if}\;k \leq -1 \cdot 10^{-150}:\\
\;\;\;\;\frac{\frac{\frac{2}{t_1}}{k}}{k}\\
\mathbf{elif}\;k \leq 10^{-86}:\\
\;\;\;\;\frac{{\left(\frac{\ell}{k}\right)}^{2} \cdot \frac{2}{k}}{k \cdot t}\\
\mathbf{else}:\\
\;\;\;\;\frac{\frac{2}{k}}{k \cdot t_1}\\
\end{array}
\]
| Alternative 7 |
|---|
| Error | 24.2 |
|---|
| Cost | 13960 |
|---|
\[\begin{array}{l}
t_1 := {\sin k}^{2}\\
\mathbf{if}\;k \leq -1 \cdot 10^{-150}:\\
\;\;\;\;\frac{\frac{2}{k}}{k \cdot \left(\frac{t_1}{\ell} \cdot \frac{t}{\ell}\right)}\\
\mathbf{elif}\;k \leq 10^{-100}:\\
\;\;\;\;\frac{{\left(\frac{\ell}{k}\right)}^{2} \cdot \frac{2}{k}}{k \cdot t}\\
\mathbf{else}:\\
\;\;\;\;\frac{\ell}{\frac{t}{\ell} \cdot \left(k \cdot k\right)} \cdot \frac{2}{t_1}\\
\end{array}
\]
| Alternative 8 |
|---|
| Error | 23.2 |
|---|
| Cost | 13960 |
|---|
\[\begin{array}{l}
t_1 := \frac{\frac{2}{k} \cdot \frac{\ell}{t}}{k \cdot \frac{{\sin k}^{2}}{\ell}}\\
\mathbf{if}\;k \leq -1 \cdot 10^{-110}:\\
\;\;\;\;t_1\\
\mathbf{elif}\;k \leq 10^{-105}:\\
\;\;\;\;\frac{{\left(\frac{\ell}{k}\right)}^{2} \cdot \frac{2}{k}}{k \cdot t}\\
\mathbf{else}:\\
\;\;\;\;t_1\\
\end{array}
\]
| Alternative 9 |
|---|
| Error | 24.9 |
|---|
| Cost | 13828 |
|---|
\[\begin{array}{l}
\mathbf{if}\;k \leq -1 \cdot 10^{-150}:\\
\;\;\;\;\frac{\frac{2}{k}}{k \cdot \left(\frac{{\sin k}^{2}}{\ell} \cdot \frac{t}{\ell}\right)}\\
\mathbf{elif}\;k \leq 10^{-140}:\\
\;\;\;\;\frac{{\left(\frac{\ell}{k}\right)}^{2} \cdot \frac{2}{k}}{k \cdot t}\\
\mathbf{else}:\\
\;\;\;\;\frac{2}{\frac{\left(k \cdot \frac{k}{\ell}\right) \cdot \left(k \cdot \left(k \cdot t\right)\right)}{\cos k \cdot \ell}}\\
\end{array}
\]
| Alternative 10 |
|---|
| Error | 25.0 |
|---|
| Cost | 7876 |
|---|
\[\begin{array}{l}
\mathbf{if}\;k \leq -1 \cdot 10^{-150}:\\
\;\;\;\;\mathsf{fma}\left(\frac{\ell}{t}, \frac{\frac{\ell}{k}}{k}, \left(\ell \cdot \frac{\ell}{t}\right) \cdot -0.16666666666666666\right) \cdot \frac{\frac{2}{k}}{k}\\
\mathbf{elif}\;k \leq 10^{-140}:\\
\;\;\;\;\frac{{\left(\frac{\ell}{k}\right)}^{2} \cdot \frac{2}{k}}{k \cdot t}\\
\mathbf{else}:\\
\;\;\;\;\frac{2}{\frac{\left(k \cdot \frac{k}{\ell}\right) \cdot \left(k \cdot \left(k \cdot t\right)\right)}{\cos k \cdot \ell}}\\
\end{array}
\]
| Alternative 11 |
|---|
| Error | 25.0 |
|---|
| Cost | 7876 |
|---|
\[\begin{array}{l}
\mathbf{if}\;k \leq -1 \cdot 10^{-150}:\\
\;\;\;\;\frac{2}{k \cdot k} \cdot \mathsf{fma}\left(\frac{\ell}{t}, \frac{\frac{\ell}{k}}{k}, \left(\ell \cdot \frac{\ell}{t}\right) \cdot -0.16666666666666666\right)\\
\mathbf{elif}\;k \leq 10^{-140}:\\
\;\;\;\;\frac{{\left(\frac{\ell}{k}\right)}^{2} \cdot \frac{2}{k}}{k \cdot t}\\
\mathbf{else}:\\
\;\;\;\;\frac{2}{\frac{\left(k \cdot \frac{k}{\ell}\right) \cdot \left(k \cdot \left(k \cdot t\right)\right)}{\cos k \cdot \ell}}\\
\end{array}
\]
| Alternative 12 |
|---|
| Error | 24.9 |
|---|
| Cost | 7752 |
|---|
\[\begin{array}{l}
\mathbf{if}\;k \leq -1 \cdot 10^{-150}:\\
\;\;\;\;\frac{\ell}{\frac{t}{\ell} \cdot \left(k \cdot k\right)} \cdot \left(\frac{2}{k \cdot k} + 0.6666666666666666\right)\\
\mathbf{elif}\;k \leq 10^{-140}:\\
\;\;\;\;\frac{{\left(\frac{\ell}{k}\right)}^{2} \cdot \frac{2}{k}}{k \cdot t}\\
\mathbf{else}:\\
\;\;\;\;\frac{2}{\frac{\left(k \cdot \frac{k}{\ell}\right) \cdot \left(k \cdot \left(k \cdot t\right)\right)}{\cos k \cdot \ell}}\\
\end{array}
\]
| Alternative 13 |
|---|
| Error | 25.0 |
|---|
| Cost | 7432 |
|---|
\[\begin{array}{l}
\mathbf{if}\;k \leq -1 \cdot 10^{-150}:\\
\;\;\;\;\frac{\ell}{\frac{t}{\ell} \cdot \left(k \cdot k\right)} \cdot \left(\frac{2}{k \cdot k} + 0.6666666666666666\right)\\
\mathbf{elif}\;k \leq 10^{-150}:\\
\;\;\;\;\frac{\frac{2}{k} \cdot \frac{{\left(\frac{\ell}{k}\right)}^{2}}{t}}{k}\\
\mathbf{else}:\\
\;\;\;\;\frac{2 \cdot \frac{\ell}{t}}{k \cdot k} \cdot \frac{\ell}{k \cdot k}\\
\end{array}
\]
| Alternative 14 |
|---|
| Error | 24.4 |
|---|
| Cost | 7432 |
|---|
\[\begin{array}{l}
t_1 := \frac{\ell}{\frac{t}{\ell} \cdot \left(k \cdot k\right)} \cdot \left(\frac{2}{k \cdot k} + 0.6666666666666666\right)\\
\mathbf{if}\;k \leq -1 \cdot 10^{-150}:\\
\;\;\;\;t_1\\
\mathbf{elif}\;k \leq 10^{-100}:\\
\;\;\;\;\frac{{\left(\frac{\ell}{k}\right)}^{2} \cdot \frac{2}{k}}{k \cdot t}\\
\mathbf{else}:\\
\;\;\;\;t_1\\
\end{array}
\]
| Alternative 15 |
|---|
| Error | 26.4 |
|---|
| Cost | 1088 |
|---|
\[\frac{\ell}{\frac{t}{\ell} \cdot \left(k \cdot k\right)} \cdot \left(\frac{2}{k \cdot k} + 0.6666666666666666\right)
\]
| Alternative 16 |
|---|
| Error | 26.5 |
|---|
| Cost | 960 |
|---|
\[\frac{2 \cdot \frac{\ell}{t}}{k \cdot k} \cdot \frac{\ell}{k \cdot k}
\]
| Alternative 17 |
|---|
| Error | 34.3 |
|---|
| Cost | 704 |
|---|
\[\frac{-0.3333333333333333 \cdot \left(\ell \cdot \ell\right)}{t \cdot \left(k \cdot k\right)}
\]
| Alternative 18 |
|---|
| Error | 32.8 |
|---|
| Cost | 704 |
|---|
\[\frac{-0.3333333333333333}{t \cdot \left(\frac{k}{\ell} \cdot \frac{k}{\ell}\right)}
\]
