\[\frac{2}{\left(\left(\frac{{t}^{3}}{\ell \cdot \ell} \cdot \sin k\right) \cdot \tan k\right) \cdot \left(\left(1 + {\left(\frac{k}{t}\right)}^{2}\right) - 1\right)}
\]
↓
\[\begin{array}{l}
t_1 := \frac{2 \cdot \left(\frac{\cos k}{t} \cdot \frac{\ell}{k}\right)}{k \cdot \frac{{\sin k}^{2}}{\ell}}\\
\mathbf{if}\;k \leq -3 \cdot 10^{-9}:\\
\;\;\;\;t_1\\
\mathbf{elif}\;k \leq 2.6 \cdot 10^{-70}:\\
\;\;\;\;\frac{2}{\frac{k \cdot \left(\frac{t}{\cos k} \cdot \left(\sin k \cdot \frac{\sin k}{\ell}\right)\right)}{\frac{\ell}{k}}}\\
\mathbf{else}:\\
\;\;\;\;t_1\\
\end{array}
\]
(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 (* (/ (cos k) t) (/ l k))) (* k (/ (pow (sin k) 2.0) l)))))
(if (<= k -3e-9)
t_1
(if (<= k 2.6e-70)
(/ 2.0 (/ (* k (* (/ t (cos k)) (* (sin k) (/ (sin k) l)))) (/ l k)))
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 * ((cos(k) / t) * (l / k))) / (k * (pow(sin(k), 2.0) / l));
double tmp;
if (k <= -3e-9) {
tmp = t_1;
} else if (k <= 2.6e-70) {
tmp = 2.0 / ((k * ((t / cos(k)) * (sin(k) * (sin(k) / l)))) / (l / k));
} 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 * ((cos(k) / t) * (l / k))) / (k * ((sin(k) ** 2.0d0) / l))
if (k <= (-3d-9)) then
tmp = t_1
else if (k <= 2.6d-70) then
tmp = 2.0d0 / ((k * ((t / cos(k)) * (sin(k) * (sin(k) / l)))) / (l / k))
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 * ((Math.cos(k) / t) * (l / k))) / (k * (Math.pow(Math.sin(k), 2.0) / l));
double tmp;
if (k <= -3e-9) {
tmp = t_1;
} else if (k <= 2.6e-70) {
tmp = 2.0 / ((k * ((t / Math.cos(k)) * (Math.sin(k) * (Math.sin(k) / l)))) / (l / k));
} 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 * ((math.cos(k) / t) * (l / k))) / (k * (math.pow(math.sin(k), 2.0) / l))
tmp = 0
if k <= -3e-9:
tmp = t_1
elif k <= 2.6e-70:
tmp = 2.0 / ((k * ((t / math.cos(k)) * (math.sin(k) * (math.sin(k) / l)))) / (l / k))
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(Float64(2.0 * Float64(Float64(cos(k) / t) * Float64(l / k))) / Float64(k * Float64((sin(k) ^ 2.0) / l)))
tmp = 0.0
if (k <= -3e-9)
tmp = t_1;
elseif (k <= 2.6e-70)
tmp = Float64(2.0 / Float64(Float64(k * Float64(Float64(t / cos(k)) * Float64(sin(k) * Float64(sin(k) / l)))) / Float64(l / k)));
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 * ((cos(k) / t) * (l / k))) / (k * ((sin(k) ^ 2.0) / l));
tmp = 0.0;
if (k <= -3e-9)
tmp = t_1;
elseif (k <= 2.6e-70)
tmp = 2.0 / ((k * ((t / cos(k)) * (sin(k) * (sin(k) / l)))) / (l / k));
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[(N[(2.0 * N[(N[(N[Cos[k], $MachinePrecision] / t), $MachinePrecision] * N[(l / k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / N[(k * N[(N[Power[N[Sin[k], $MachinePrecision], 2.0], $MachinePrecision] / l), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[k, -3e-9], t$95$1, If[LessEqual[k, 2.6e-70], N[(2.0 / N[(N[(k * N[(N[(t / N[Cos[k], $MachinePrecision]), $MachinePrecision] * N[(N[Sin[k], $MachinePrecision] * N[(N[Sin[k], $MachinePrecision] / l), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / N[(l / k), $MachinePrecision]), $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 \cdot \left(\frac{\cos k}{t} \cdot \frac{\ell}{k}\right)}{k \cdot \frac{{\sin k}^{2}}{\ell}}\\
\mathbf{if}\;k \leq -3 \cdot 10^{-9}:\\
\;\;\;\;t_1\\
\mathbf{elif}\;k \leq 2.6 \cdot 10^{-70}:\\
\;\;\;\;\frac{2}{\frac{k \cdot \left(\frac{t}{\cos k} \cdot \left(\sin k \cdot \frac{\sin k}{\ell}\right)\right)}{\frac{\ell}{k}}}\\
\mathbf{else}:\\
\;\;\;\;t_1\\
\end{array}
Alternatives
| Alternative 1 |
|---|
| Error | 1.0 |
|---|
| Cost | 20680 |
|---|
\[\begin{array}{l}
t_1 := \frac{2 \cdot \left(\frac{\cos k}{t} \cdot \frac{\ell}{k}\right)}{k \cdot \frac{{\sin k}^{2}}{\ell}}\\
\mathbf{if}\;k \leq -5.8 \cdot 10^{-9}:\\
\;\;\;\;t_1\\
\mathbf{elif}\;k \leq 3.5 \cdot 10^{-70}:\\
\;\;\;\;\frac{2}{\frac{k \cdot \left(\frac{t}{\cos k} \cdot \left(\sin k \cdot \left(\sin k \cdot \frac{1}{\ell}\right)\right)\right)}{\frac{\ell}{k}}}\\
\mathbf{else}:\\
\;\;\;\;t_1\\
\end{array}
\]
| Alternative 2 |
|---|
| Error | 2.7 |
|---|
| Cost | 20488 |
|---|
\[\begin{array}{l}
t_1 := \frac{2}{\frac{\frac{k \cdot \frac{0.5 - \frac{\cos \left(k \cdot 2\right)}{2}}{\ell}}{\frac{\cos k}{t}}}{\frac{\ell}{k}}}\\
\mathbf{if}\;k \leq -2.8 \cdot 10^{+138}:\\
\;\;\;\;t_1\\
\mathbf{elif}\;k \leq 2 \cdot 10^{+44}:\\
\;\;\;\;2 \cdot \frac{\cos k}{\frac{{\sin k}^{2}}{\ell} \cdot \left(t \cdot \left(k \cdot \frac{k}{\ell}\right)\right)}\\
\mathbf{else}:\\
\;\;\;\;t_1\\
\end{array}
\]
| Alternative 3 |
|---|
| Error | 2.2 |
|---|
| Cost | 20488 |
|---|
\[\begin{array}{l}
t_1 := {\sin k}^{2}\\
t_2 := 2 \cdot \frac{\cos k}{\frac{\frac{k}{\frac{\ell}{t_1}}}{\frac{\frac{\ell}{k}}{t}}}\\
\mathbf{if}\;k \leq -1.5 \cdot 10^{-42}:\\
\;\;\;\;t_2\\
\mathbf{elif}\;k \leq 1.4 \cdot 10^{-28}:\\
\;\;\;\;2 \cdot \frac{\cos k}{\frac{t_1}{\ell} \cdot \left(t \cdot \left(k \cdot \frac{k}{\ell}\right)\right)}\\
\mathbf{else}:\\
\;\;\;\;t_2\\
\end{array}
\]
| Alternative 4 |
|---|
| Error | 3.3 |
|---|
| Cost | 20488 |
|---|
\[\begin{array}{l}
t_1 := \frac{{\sin k}^{2}}{\ell}\\
t_2 := \frac{2 \cdot \left(\frac{\cos k}{t} \cdot \frac{\ell}{k}\right)}{k \cdot t_1}\\
\mathbf{if}\;\ell \leq -1.5 \cdot 10^{-41}:\\
\;\;\;\;t_2\\
\mathbf{elif}\;\ell \leq 7.2 \cdot 10^{+184}:\\
\;\;\;\;\frac{2}{\frac{k \cdot \left(t_1 \cdot \frac{t}{\cos k}\right)}{\frac{\ell}{k}}}\\
\mathbf{else}:\\
\;\;\;\;t_2\\
\end{array}
\]
| Alternative 5 |
|---|
| Error | 3.1 |
|---|
| Cost | 20224 |
|---|
\[\frac{2}{\frac{\frac{k \cdot \frac{{\sin k}^{2}}{\ell}}{\frac{\cos k}{t}}}{\frac{\ell}{k}}}
\]
| Alternative 6 |
|---|
| Error | 15.9 |
|---|
| Cost | 14408 |
|---|
\[\begin{array}{l}
t_1 := 2 \cdot \frac{\cos k}{\frac{\left(0.5 - \frac{\cos \left(k \cdot 2\right)}{2}\right) \cdot \left(k \cdot \left(k \cdot t\right)\right)}{\ell \cdot \ell}}\\
\mathbf{if}\;k \leq -0.00079:\\
\;\;\;\;t_1\\
\mathbf{elif}\;k \leq 0.00094:\\
\;\;\;\;\frac{2}{\frac{k \cdot \left(\frac{t}{\cos k} \cdot \frac{k \cdot k}{\ell}\right)}{\frac{\ell}{k}}}\\
\mathbf{else}:\\
\;\;\;\;t_1\\
\end{array}
\]
| Alternative 7 |
|---|
| Error | 17.1 |
|---|
| Cost | 14408 |
|---|
\[\begin{array}{l}
t_1 := 0.5 - \frac{\cos \left(k \cdot 2\right)}{2}\\
\mathbf{if}\;k \leq -0.00075:\\
\;\;\;\;2 \cdot \frac{\cos k}{\frac{t_1 \cdot \left(t \cdot \left(k \cdot k\right)\right)}{\ell \cdot \ell}}\\
\mathbf{elif}\;k \leq 0.00014:\\
\;\;\;\;\frac{2}{\frac{k \cdot \left(\frac{t}{\cos k} \cdot \frac{k \cdot k}{\ell}\right)}{\frac{\ell}{k}}}\\
\mathbf{else}:\\
\;\;\;\;2 \cdot \frac{\cos k}{\frac{t_1 \cdot \left(k \cdot \left(k \cdot t\right)\right)}{\ell \cdot \ell}}\\
\end{array}
\]
| Alternative 8 |
|---|
| Error | 6.0 |
|---|
| Cost | 14408 |
|---|
\[\begin{array}{l}
t_1 := \frac{t}{\cos k}\\
t_2 := \frac{2}{\frac{k \cdot \left(t_1 \cdot \frac{0.5 - \frac{\cos \left(k \cdot 2\right)}{2}}{\ell}\right)}{\frac{\ell}{k}}}\\
\mathbf{if}\;k \leq -0.00062:\\
\;\;\;\;t_2\\
\mathbf{elif}\;k \leq 4.5 \cdot 10^{-5}:\\
\;\;\;\;\frac{2}{\frac{k \cdot \left(t_1 \cdot \frac{k \cdot k}{\ell}\right)}{\frac{\ell}{k}}}\\
\mathbf{else}:\\
\;\;\;\;t_2\\
\end{array}
\]
| Alternative 9 |
|---|
| Error | 3.0 |
|---|
| Cost | 14408 |
|---|
\[\begin{array}{l}
t_1 := \frac{2}{\frac{\frac{k \cdot \frac{0.5 - \frac{\cos \left(k \cdot 2\right)}{2}}{\ell}}{\frac{\cos k}{t}}}{\frac{\ell}{k}}}\\
\mathbf{if}\;k \leq -0.00062:\\
\;\;\;\;t_1\\
\mathbf{elif}\;k \leq 4.5 \cdot 10^{-5}:\\
\;\;\;\;\frac{2}{\frac{k \cdot \left(\frac{t}{\cos k} \cdot \frac{k \cdot k}{\ell}\right)}{\frac{\ell}{k}}}\\
\mathbf{else}:\\
\;\;\;\;t_1\\
\end{array}
\]
| Alternative 10 |
|---|
| Error | 24.6 |
|---|
| Cost | 7488 |
|---|
\[\frac{2}{\frac{k \cdot \left(\frac{t}{\cos k} \cdot \frac{k \cdot k}{\ell}\right)}{\frac{\ell}{k}}}
\]
| Alternative 11 |
|---|
| Error | 25.9 |
|---|
| Cost | 7432 |
|---|
\[\begin{array}{l}
t_1 := \frac{2}{\frac{\frac{t}{\ell} \cdot {k}^{3}}{\frac{\ell}{k}}}\\
t_2 := \frac{t}{\frac{1}{k \cdot k}}\\
\mathbf{if}\;k \leq -7 \cdot 10^{-75}:\\
\;\;\;\;t_1\\
\mathbf{elif}\;k \leq 1.65 \cdot 10^{-91}:\\
\;\;\;\;2 \cdot \left(\frac{t \cdot \ell}{t_2} \cdot \frac{\ell}{t_2}\right)\\
\mathbf{else}:\\
\;\;\;\;t_1\\
\end{array}
\]
| Alternative 12 |
|---|
| Error | 26.5 |
|---|
| Cost | 7304 |
|---|
\[\begin{array}{l}
t_1 := \frac{t}{\frac{1}{k \cdot k}}\\
\mathbf{if}\;k \leq -2.25 \cdot 10^{-73}:\\
\;\;\;\;2 \cdot \frac{\frac{\ell \cdot \frac{\ell}{t}}{k \cdot k}}{k \cdot k}\\
\mathbf{elif}\;k \leq 1.6 \cdot 10^{-69}:\\
\;\;\;\;2 \cdot \left(\frac{t \cdot \ell}{t_1} \cdot \frac{\ell}{t_1}\right)\\
\mathbf{else}:\\
\;\;\;\;2 \cdot \left(\frac{\ell}{t} \cdot \frac{\ell}{{k}^{4}}\right)\\
\end{array}
\]
| Alternative 13 |
|---|
| Error | 26.5 |
|---|
| Cost | 7304 |
|---|
\[\begin{array}{l}
t_1 := \frac{t}{\frac{1}{k \cdot k}}\\
\mathbf{if}\;k \leq -4.7 \cdot 10^{-73}:\\
\;\;\;\;2 \cdot \left({k}^{-4} \cdot \left(\ell \cdot \frac{\ell}{t}\right)\right)\\
\mathbf{elif}\;k \leq 9.5 \cdot 10^{-70}:\\
\;\;\;\;2 \cdot \left(\frac{t \cdot \ell}{t_1} \cdot \frac{\ell}{t_1}\right)\\
\mathbf{else}:\\
\;\;\;\;2 \cdot \left(\frac{\ell}{t} \cdot \frac{\ell}{{k}^{4}}\right)\\
\end{array}
\]
| Alternative 14 |
|---|
| Error | 26.5 |
|---|
| Cost | 7304 |
|---|
\[\begin{array}{l}
t_1 := \frac{t}{\frac{1}{k \cdot k}}\\
\mathbf{if}\;k \leq -3 \cdot 10^{-73}:\\
\;\;\;\;2 \cdot \left({k}^{-4} \cdot \left(\ell \cdot \frac{\ell}{t}\right)\right)\\
\mathbf{elif}\;k \leq 5.5 \cdot 10^{-70}:\\
\;\;\;\;2 \cdot \left(\frac{t \cdot \ell}{t_1} \cdot \frac{\ell}{t_1}\right)\\
\mathbf{else}:\\
\;\;\;\;2 \cdot \frac{\ell \cdot {k}^{-4}}{\frac{t}{\ell}}\\
\end{array}
\]
| Alternative 15 |
|---|
| Error | 26.5 |
|---|
| Cost | 7304 |
|---|
\[\begin{array}{l}
t_1 := \frac{t}{\frac{1}{k \cdot k}}\\
\mathbf{if}\;k \leq -5.3 \cdot 10^{-73}:\\
\;\;\;\;2 \cdot \frac{{k}^{-4}}{\frac{\frac{t}{\ell}}{\ell}}\\
\mathbf{elif}\;k \leq 2.05 \cdot 10^{-69}:\\
\;\;\;\;2 \cdot \left(\frac{t \cdot \ell}{t_1} \cdot \frac{\ell}{t_1}\right)\\
\mathbf{else}:\\
\;\;\;\;2 \cdot \frac{\ell \cdot {k}^{-4}}{\frac{t}{\ell}}\\
\end{array}
\]
| Alternative 16 |
|---|
| Error | 26.1 |
|---|
| Cost | 7304 |
|---|
\[\begin{array}{l}
t_1 := \frac{t}{\frac{1}{k \cdot k}}\\
\mathbf{if}\;k \leq -1.1 \cdot 10^{-73}:\\
\;\;\;\;\frac{2}{\frac{t}{\ell} \cdot \frac{{k}^{4}}{\ell}}\\
\mathbf{elif}\;k \leq 1.75 \cdot 10^{-69}:\\
\;\;\;\;2 \cdot \left(\frac{t \cdot \ell}{t_1} \cdot \frac{\ell}{t_1}\right)\\
\mathbf{else}:\\
\;\;\;\;2 \cdot \frac{\ell \cdot {k}^{-4}}{\frac{t}{\ell}}\\
\end{array}
\]
| Alternative 17 |
|---|
| Error | 26.9 |
|---|
| Cost | 1736 |
|---|
\[\begin{array}{l}
t_1 := 2 \cdot \frac{\frac{\ell \cdot \frac{\ell}{t}}{k \cdot k}}{k \cdot k}\\
t_2 := \frac{t}{\frac{1}{k \cdot k}}\\
\mathbf{if}\;k \leq -6.5 \cdot 10^{-73}:\\
\;\;\;\;t_1\\
\mathbf{elif}\;k \leq 2.3 \cdot 10^{-62}:\\
\;\;\;\;2 \cdot \left(\frac{t \cdot \ell}{t_2} \cdot \frac{\ell}{t_2}\right)\\
\mathbf{else}:\\
\;\;\;\;t_1\\
\end{array}
\]
| Alternative 18 |
|---|
| Error | 27.9 |
|---|
| Cost | 960 |
|---|
\[2 \cdot \frac{\frac{\ell \cdot \frac{\ell}{t}}{k \cdot k}}{k \cdot k}
\]