
(FPCore (x y z t a) :precision binary64 (/ (- x (* y z)) (- t (* a z))))
double code(double x, double y, double z, double t, double a) {
return (x - (y * z)) / (t - (a * z));
}
real(8) function code(x, y, z, t, a)
real(8), intent (in) :: x
real(8), intent (in) :: y
real(8), intent (in) :: z
real(8), intent (in) :: t
real(8), intent (in) :: a
code = (x - (y * z)) / (t - (a * z))
end function
public static double code(double x, double y, double z, double t, double a) {
return (x - (y * z)) / (t - (a * z));
}
def code(x, y, z, t, a): return (x - (y * z)) / (t - (a * z))
function code(x, y, z, t, a) return Float64(Float64(x - Float64(y * z)) / Float64(t - Float64(a * z))) end
function tmp = code(x, y, z, t, a) tmp = (x - (y * z)) / (t - (a * z)); end
code[x_, y_, z_, t_, a_] := N[(N[(x - N[(y * z), $MachinePrecision]), $MachinePrecision] / N[(t - N[(a * z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]
\begin{array}{l}
\\
\frac{x - y \cdot z}{t - a \cdot z}
\end{array}
Sampling outcomes in binary64 precision:
Herbie found 11 alternatives:
| Alternative | Accuracy | Speedup |
|---|
(FPCore (x y z t a) :precision binary64 (/ (- x (* y z)) (- t (* a z))))
double code(double x, double y, double z, double t, double a) {
return (x - (y * z)) / (t - (a * z));
}
real(8) function code(x, y, z, t, a)
real(8), intent (in) :: x
real(8), intent (in) :: y
real(8), intent (in) :: z
real(8), intent (in) :: t
real(8), intent (in) :: a
code = (x - (y * z)) / (t - (a * z))
end function
public static double code(double x, double y, double z, double t, double a) {
return (x - (y * z)) / (t - (a * z));
}
def code(x, y, z, t, a): return (x - (y * z)) / (t - (a * z))
function code(x, y, z, t, a) return Float64(Float64(x - Float64(y * z)) / Float64(t - Float64(a * z))) end
function tmp = code(x, y, z, t, a) tmp = (x - (y * z)) / (t - (a * z)); end
code[x_, y_, z_, t_, a_] := N[(N[(x - N[(y * z), $MachinePrecision]), $MachinePrecision] / N[(t - N[(a * z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]
\begin{array}{l}
\\
\frac{x - y \cdot z}{t - a \cdot z}
\end{array}
(FPCore (x y z t a)
:precision binary64
(let* ((t_1 (- t (* z a))) (t_2 (/ (- x (* y z)) t_1)))
(if (<= t_2 (- INFINITY))
(- (pow (/ (cbrt x) (cbrt t_1)) 3.0) (* y (/ z t_1)))
(if (or (<= t_2 -4e-315) (and (not (<= t_2 0.0)) (<= t_2 5e+281)))
t_2
(/ (- y) (- (/ t z) a))))))
double code(double x, double y, double z, double t, double a) {
double t_1 = t - (z * a);
double t_2 = (x - (y * z)) / t_1;
double tmp;
if (t_2 <= -((double) INFINITY)) {
tmp = pow((cbrt(x) / cbrt(t_1)), 3.0) - (y * (z / t_1));
} else if ((t_2 <= -4e-315) || (!(t_2 <= 0.0) && (t_2 <= 5e+281))) {
tmp = t_2;
} else {
tmp = -y / ((t / z) - a);
}
return tmp;
}
public static double code(double x, double y, double z, double t, double a) {
double t_1 = t - (z * a);
double t_2 = (x - (y * z)) / t_1;
double tmp;
if (t_2 <= -Double.POSITIVE_INFINITY) {
tmp = Math.pow((Math.cbrt(x) / Math.cbrt(t_1)), 3.0) - (y * (z / t_1));
} else if ((t_2 <= -4e-315) || (!(t_2 <= 0.0) && (t_2 <= 5e+281))) {
tmp = t_2;
} else {
tmp = -y / ((t / z) - a);
}
return tmp;
}
function code(x, y, z, t, a) t_1 = Float64(t - Float64(z * a)) t_2 = Float64(Float64(x - Float64(y * z)) / t_1) tmp = 0.0 if (t_2 <= Float64(-Inf)) tmp = Float64((Float64(cbrt(x) / cbrt(t_1)) ^ 3.0) - Float64(y * Float64(z / t_1))); elseif ((t_2 <= -4e-315) || (!(t_2 <= 0.0) && (t_2 <= 5e+281))) tmp = t_2; else tmp = Float64(Float64(-y) / Float64(Float64(t / z) - a)); end return tmp end
code[x_, y_, z_, t_, a_] := Block[{t$95$1 = N[(t - N[(z * a), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(x - N[(y * z), $MachinePrecision]), $MachinePrecision] / t$95$1), $MachinePrecision]}, If[LessEqual[t$95$2, (-Infinity)], N[(N[Power[N[(N[Power[x, 1/3], $MachinePrecision] / N[Power[t$95$1, 1/3], $MachinePrecision]), $MachinePrecision], 3.0], $MachinePrecision] - N[(y * N[(z / t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[Or[LessEqual[t$95$2, -4e-315], And[N[Not[LessEqual[t$95$2, 0.0]], $MachinePrecision], LessEqual[t$95$2, 5e+281]]], t$95$2, N[((-y) / N[(N[(t / z), $MachinePrecision] - a), $MachinePrecision]), $MachinePrecision]]]]]
\begin{array}{l}
\\
\begin{array}{l}
t_1 := t - z \cdot a\\
t_2 := \frac{x - y \cdot z}{t_1}\\
\mathbf{if}\;t_2 \leq -\infty:\\
\;\;\;\;{\left(\frac{\sqrt[3]{x}}{\sqrt[3]{t_1}}\right)}^{3} - y \cdot \frac{z}{t_1}\\
\mathbf{elif}\;t_2 \leq -4 \cdot 10^{-315} \lor \neg \left(t_2 \leq 0\right) \land t_2 \leq 5 \cdot 10^{+281}:\\
\;\;\;\;t_2\\
\mathbf{else}:\\
\;\;\;\;\frac{-y}{\frac{t}{z} - a}\\
\end{array}
\end{array}
(FPCore (x y z t a)
:precision binary64
(let* ((t_1 (/ x (- t (* z a))))
(t_2 (/ (- y) (- (/ t z) a)))
(t_3 (/ (- x (* y z)) t)))
(if (<= z -1.3e+76)
t_2
(if (<= z -4.6e-12)
t_1
(if (<= z -3.9e-95)
t_2
(if (<= z 6.5e-247)
t_3
(if (<= z 2.15e-139) t_1 (if (<= z 1.45e+59) t_3 t_2))))))))
double code(double x, double y, double z, double t, double a) {
double t_1 = x / (t - (z * a));
double t_2 = -y / ((t / z) - a);
double t_3 = (x - (y * z)) / t;
double tmp;
if (z <= -1.3e+76) {
tmp = t_2;
} else if (z <= -4.6e-12) {
tmp = t_1;
} else if (z <= -3.9e-95) {
tmp = t_2;
} else if (z <= 6.5e-247) {
tmp = t_3;
} else if (z <= 2.15e-139) {
tmp = t_1;
} else if (z <= 1.45e+59) {
tmp = t_3;
} else {
tmp = t_2;
}
return tmp;
}
real(8) function code(x, y, z, t, a)
real(8), intent (in) :: x
real(8), intent (in) :: y
real(8), intent (in) :: z
real(8), intent (in) :: t
real(8), intent (in) :: a
real(8) :: t_1
real(8) :: t_2
real(8) :: t_3
real(8) :: tmp
t_1 = x / (t - (z * a))
t_2 = -y / ((t / z) - a)
t_3 = (x - (y * z)) / t
if (z <= (-1.3d+76)) then
tmp = t_2
else if (z <= (-4.6d-12)) then
tmp = t_1
else if (z <= (-3.9d-95)) then
tmp = t_2
else if (z <= 6.5d-247) then
tmp = t_3
else if (z <= 2.15d-139) then
tmp = t_1
else if (z <= 1.45d+59) then
tmp = t_3
else
tmp = t_2
end if
code = tmp
end function
public static double code(double x, double y, double z, double t, double a) {
double t_1 = x / (t - (z * a));
double t_2 = -y / ((t / z) - a);
double t_3 = (x - (y * z)) / t;
double tmp;
if (z <= -1.3e+76) {
tmp = t_2;
} else if (z <= -4.6e-12) {
tmp = t_1;
} else if (z <= -3.9e-95) {
tmp = t_2;
} else if (z <= 6.5e-247) {
tmp = t_3;
} else if (z <= 2.15e-139) {
tmp = t_1;
} else if (z <= 1.45e+59) {
tmp = t_3;
} else {
tmp = t_2;
}
return tmp;
}
def code(x, y, z, t, a): t_1 = x / (t - (z * a)) t_2 = -y / ((t / z) - a) t_3 = (x - (y * z)) / t tmp = 0 if z <= -1.3e+76: tmp = t_2 elif z <= -4.6e-12: tmp = t_1 elif z <= -3.9e-95: tmp = t_2 elif z <= 6.5e-247: tmp = t_3 elif z <= 2.15e-139: tmp = t_1 elif z <= 1.45e+59: tmp = t_3 else: tmp = t_2 return tmp
function code(x, y, z, t, a) t_1 = Float64(x / Float64(t - Float64(z * a))) t_2 = Float64(Float64(-y) / Float64(Float64(t / z) - a)) t_3 = Float64(Float64(x - Float64(y * z)) / t) tmp = 0.0 if (z <= -1.3e+76) tmp = t_2; elseif (z <= -4.6e-12) tmp = t_1; elseif (z <= -3.9e-95) tmp = t_2; elseif (z <= 6.5e-247) tmp = t_3; elseif (z <= 2.15e-139) tmp = t_1; elseif (z <= 1.45e+59) tmp = t_3; else tmp = t_2; end return tmp end
function tmp_2 = code(x, y, z, t, a) t_1 = x / (t - (z * a)); t_2 = -y / ((t / z) - a); t_3 = (x - (y * z)) / t; tmp = 0.0; if (z <= -1.3e+76) tmp = t_2; elseif (z <= -4.6e-12) tmp = t_1; elseif (z <= -3.9e-95) tmp = t_2; elseif (z <= 6.5e-247) tmp = t_3; elseif (z <= 2.15e-139) tmp = t_1; elseif (z <= 1.45e+59) tmp = t_3; else tmp = t_2; end tmp_2 = tmp; end
code[x_, y_, z_, t_, a_] := Block[{t$95$1 = N[(x / N[(t - N[(z * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[((-y) / N[(N[(t / z), $MachinePrecision] - a), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(x - N[(y * z), $MachinePrecision]), $MachinePrecision] / t), $MachinePrecision]}, If[LessEqual[z, -1.3e+76], t$95$2, If[LessEqual[z, -4.6e-12], t$95$1, If[LessEqual[z, -3.9e-95], t$95$2, If[LessEqual[z, 6.5e-247], t$95$3, If[LessEqual[z, 2.15e-139], t$95$1, If[LessEqual[z, 1.45e+59], t$95$3, t$95$2]]]]]]]]]
\begin{array}{l}
\\
\begin{array}{l}
t_1 := \frac{x}{t - z \cdot a}\\
t_2 := \frac{-y}{\frac{t}{z} - a}\\
t_3 := \frac{x - y \cdot z}{t}\\
\mathbf{if}\;z \leq -1.3 \cdot 10^{+76}:\\
\;\;\;\;t_2\\
\mathbf{elif}\;z \leq -4.6 \cdot 10^{-12}:\\
\;\;\;\;t_1\\
\mathbf{elif}\;z \leq -3.9 \cdot 10^{-95}:\\
\;\;\;\;t_2\\
\mathbf{elif}\;z \leq 6.5 \cdot 10^{-247}:\\
\;\;\;\;t_3\\
\mathbf{elif}\;z \leq 2.15 \cdot 10^{-139}:\\
\;\;\;\;t_1\\
\mathbf{elif}\;z \leq 1.45 \cdot 10^{+59}:\\
\;\;\;\;t_3\\
\mathbf{else}:\\
\;\;\;\;t_2\\
\end{array}
\end{array}
(FPCore (x y z t a)
:precision binary64
(let* ((t_1 (/ (- x (* y z)) t)))
(if (<= z -7.5e+93)
(/ y a)
(if (<= z 4.6e-241)
t_1
(if (<= z 1.15e-137)
(/ x (- t (* z a)))
(if (<= z 1.75e+84) t_1 (/ y a)))))))
double code(double x, double y, double z, double t, double a) {
double t_1 = (x - (y * z)) / t;
double tmp;
if (z <= -7.5e+93) {
tmp = y / a;
} else if (z <= 4.6e-241) {
tmp = t_1;
} else if (z <= 1.15e-137) {
tmp = x / (t - (z * a));
} else if (z <= 1.75e+84) {
tmp = t_1;
} else {
tmp = y / a;
}
return tmp;
}
real(8) function code(x, y, z, t, a)
real(8), intent (in) :: x
real(8), intent (in) :: y
real(8), intent (in) :: z
real(8), intent (in) :: t
real(8), intent (in) :: a
real(8) :: t_1
real(8) :: tmp
t_1 = (x - (y * z)) / t
if (z <= (-7.5d+93)) then
tmp = y / a
else if (z <= 4.6d-241) then
tmp = t_1
else if (z <= 1.15d-137) then
tmp = x / (t - (z * a))
else if (z <= 1.75d+84) then
tmp = t_1
else
tmp = y / a
end if
code = tmp
end function
public static double code(double x, double y, double z, double t, double a) {
double t_1 = (x - (y * z)) / t;
double tmp;
if (z <= -7.5e+93) {
tmp = y / a;
} else if (z <= 4.6e-241) {
tmp = t_1;
} else if (z <= 1.15e-137) {
tmp = x / (t - (z * a));
} else if (z <= 1.75e+84) {
tmp = t_1;
} else {
tmp = y / a;
}
return tmp;
}
def code(x, y, z, t, a): t_1 = (x - (y * z)) / t tmp = 0 if z <= -7.5e+93: tmp = y / a elif z <= 4.6e-241: tmp = t_1 elif z <= 1.15e-137: tmp = x / (t - (z * a)) elif z <= 1.75e+84: tmp = t_1 else: tmp = y / a return tmp
function code(x, y, z, t, a) t_1 = Float64(Float64(x - Float64(y * z)) / t) tmp = 0.0 if (z <= -7.5e+93) tmp = Float64(y / a); elseif (z <= 4.6e-241) tmp = t_1; elseif (z <= 1.15e-137) tmp = Float64(x / Float64(t - Float64(z * a))); elseif (z <= 1.75e+84) tmp = t_1; else tmp = Float64(y / a); end return tmp end
function tmp_2 = code(x, y, z, t, a) t_1 = (x - (y * z)) / t; tmp = 0.0; if (z <= -7.5e+93) tmp = y / a; elseif (z <= 4.6e-241) tmp = t_1; elseif (z <= 1.15e-137) tmp = x / (t - (z * a)); elseif (z <= 1.75e+84) tmp = t_1; else tmp = y / a; end tmp_2 = tmp; end
code[x_, y_, z_, t_, a_] := Block[{t$95$1 = N[(N[(x - N[(y * z), $MachinePrecision]), $MachinePrecision] / t), $MachinePrecision]}, If[LessEqual[z, -7.5e+93], N[(y / a), $MachinePrecision], If[LessEqual[z, 4.6e-241], t$95$1, If[LessEqual[z, 1.15e-137], N[(x / N[(t - N[(z * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 1.75e+84], t$95$1, N[(y / a), $MachinePrecision]]]]]]
\begin{array}{l}
\\
\begin{array}{l}
t_1 := \frac{x - y \cdot z}{t}\\
\mathbf{if}\;z \leq -7.5 \cdot 10^{+93}:\\
\;\;\;\;\frac{y}{a}\\
\mathbf{elif}\;z \leq 4.6 \cdot 10^{-241}:\\
\;\;\;\;t_1\\
\mathbf{elif}\;z \leq 1.15 \cdot 10^{-137}:\\
\;\;\;\;\frac{x}{t - z \cdot a}\\
\mathbf{elif}\;z \leq 1.75 \cdot 10^{+84}:\\
\;\;\;\;t_1\\
\mathbf{else}:\\
\;\;\;\;\frac{y}{a}\\
\end{array}
\end{array}
(FPCore (x y z t a) :precision binary64 (if (or (<= z -2.05e+96) (not (<= z 5.5e+118))) (/ (- y) (- (/ t z) a)) (/ (- x (* y z)) (- t (* z a)))))
double code(double x, double y, double z, double t, double a) {
double tmp;
if ((z <= -2.05e+96) || !(z <= 5.5e+118)) {
tmp = -y / ((t / z) - a);
} else {
tmp = (x - (y * z)) / (t - (z * a));
}
return tmp;
}
real(8) function code(x, y, z, t, a)
real(8), intent (in) :: x
real(8), intent (in) :: y
real(8), intent (in) :: z
real(8), intent (in) :: t
real(8), intent (in) :: a
real(8) :: tmp
if ((z <= (-2.05d+96)) .or. (.not. (z <= 5.5d+118))) then
tmp = -y / ((t / z) - a)
else
tmp = (x - (y * z)) / (t - (z * a))
end if
code = tmp
end function
public static double code(double x, double y, double z, double t, double a) {
double tmp;
if ((z <= -2.05e+96) || !(z <= 5.5e+118)) {
tmp = -y / ((t / z) - a);
} else {
tmp = (x - (y * z)) / (t - (z * a));
}
return tmp;
}
def code(x, y, z, t, a): tmp = 0 if (z <= -2.05e+96) or not (z <= 5.5e+118): tmp = -y / ((t / z) - a) else: tmp = (x - (y * z)) / (t - (z * a)) return tmp
function code(x, y, z, t, a) tmp = 0.0 if ((z <= -2.05e+96) || !(z <= 5.5e+118)) tmp = Float64(Float64(-y) / Float64(Float64(t / z) - a)); else tmp = Float64(Float64(x - Float64(y * z)) / Float64(t - Float64(z * a))); end return tmp end
function tmp_2 = code(x, y, z, t, a) tmp = 0.0; if ((z <= -2.05e+96) || ~((z <= 5.5e+118))) tmp = -y / ((t / z) - a); else tmp = (x - (y * z)) / (t - (z * a)); end tmp_2 = tmp; end
code[x_, y_, z_, t_, a_] := If[Or[LessEqual[z, -2.05e+96], N[Not[LessEqual[z, 5.5e+118]], $MachinePrecision]], N[((-y) / N[(N[(t / z), $MachinePrecision] - a), $MachinePrecision]), $MachinePrecision], N[(N[(x - N[(y * z), $MachinePrecision]), $MachinePrecision] / N[(t - N[(z * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]
\begin{array}{l}
\\
\begin{array}{l}
\mathbf{if}\;z \leq -2.05 \cdot 10^{+96} \lor \neg \left(z \leq 5.5 \cdot 10^{+118}\right):\\
\;\;\;\;\frac{-y}{\frac{t}{z} - a}\\
\mathbf{else}:\\
\;\;\;\;\frac{x - y \cdot z}{t - z \cdot a}\\
\end{array}
\end{array}
(FPCore (x y z t a)
:precision binary64
(let* ((t_1 (* (/ y t) (- z))))
(if (<= t -4.8e+158)
t_1
(if (<= t -0.15)
(/ x t)
(if (<= t 6.2e-10) (/ y a) (if (<= t 3.8e+244) (/ x t) t_1))))))
double code(double x, double y, double z, double t, double a) {
double t_1 = (y / t) * -z;
double tmp;
if (t <= -4.8e+158) {
tmp = t_1;
} else if (t <= -0.15) {
tmp = x / t;
} else if (t <= 6.2e-10) {
tmp = y / a;
} else if (t <= 3.8e+244) {
tmp = x / t;
} else {
tmp = t_1;
}
return tmp;
}
real(8) function code(x, y, z, t, a)
real(8), intent (in) :: x
real(8), intent (in) :: y
real(8), intent (in) :: z
real(8), intent (in) :: t
real(8), intent (in) :: a
real(8) :: t_1
real(8) :: tmp
t_1 = (y / t) * -z
if (t <= (-4.8d+158)) then
tmp = t_1
else if (t <= (-0.15d0)) then
tmp = x / t
else if (t <= 6.2d-10) then
tmp = y / a
else if (t <= 3.8d+244) then
tmp = x / t
else
tmp = t_1
end if
code = tmp
end function
public static double code(double x, double y, double z, double t, double a) {
double t_1 = (y / t) * -z;
double tmp;
if (t <= -4.8e+158) {
tmp = t_1;
} else if (t <= -0.15) {
tmp = x / t;
} else if (t <= 6.2e-10) {
tmp = y / a;
} else if (t <= 3.8e+244) {
tmp = x / t;
} else {
tmp = t_1;
}
return tmp;
}
def code(x, y, z, t, a): t_1 = (y / t) * -z tmp = 0 if t <= -4.8e+158: tmp = t_1 elif t <= -0.15: tmp = x / t elif t <= 6.2e-10: tmp = y / a elif t <= 3.8e+244: tmp = x / t else: tmp = t_1 return tmp
function code(x, y, z, t, a) t_1 = Float64(Float64(y / t) * Float64(-z)) tmp = 0.0 if (t <= -4.8e+158) tmp = t_1; elseif (t <= -0.15) tmp = Float64(x / t); elseif (t <= 6.2e-10) tmp = Float64(y / a); elseif (t <= 3.8e+244) tmp = Float64(x / t); else tmp = t_1; end return tmp end
function tmp_2 = code(x, y, z, t, a) t_1 = (y / t) * -z; tmp = 0.0; if (t <= -4.8e+158) tmp = t_1; elseif (t <= -0.15) tmp = x / t; elseif (t <= 6.2e-10) tmp = y / a; elseif (t <= 3.8e+244) tmp = x / t; else tmp = t_1; end tmp_2 = tmp; end
code[x_, y_, z_, t_, a_] := Block[{t$95$1 = N[(N[(y / t), $MachinePrecision] * (-z)), $MachinePrecision]}, If[LessEqual[t, -4.8e+158], t$95$1, If[LessEqual[t, -0.15], N[(x / t), $MachinePrecision], If[LessEqual[t, 6.2e-10], N[(y / a), $MachinePrecision], If[LessEqual[t, 3.8e+244], N[(x / t), $MachinePrecision], t$95$1]]]]]
\begin{array}{l}
\\
\begin{array}{l}
t_1 := \frac{y}{t} \cdot \left(-z\right)\\
\mathbf{if}\;t \leq -4.8 \cdot 10^{+158}:\\
\;\;\;\;t_1\\
\mathbf{elif}\;t \leq -0.15:\\
\;\;\;\;\frac{x}{t}\\
\mathbf{elif}\;t \leq 6.2 \cdot 10^{-10}:\\
\;\;\;\;\frac{y}{a}\\
\mathbf{elif}\;t \leq 3.8 \cdot 10^{+244}:\\
\;\;\;\;\frac{x}{t}\\
\mathbf{else}:\\
\;\;\;\;t_1\\
\end{array}
\end{array}
(FPCore (x y z t a)
:precision binary64
(if (<= t -1.02e+160)
(* (/ y t) (- z))
(if (<= t -205000.0)
(/ x t)
(if (<= t 8.2e-13)
(/ y a)
(if (<= t 3.7e+244) (/ x t) (/ z (- (/ t y))))))))
double code(double x, double y, double z, double t, double a) {
double tmp;
if (t <= -1.02e+160) {
tmp = (y / t) * -z;
} else if (t <= -205000.0) {
tmp = x / t;
} else if (t <= 8.2e-13) {
tmp = y / a;
} else if (t <= 3.7e+244) {
tmp = x / t;
} else {
tmp = z / -(t / y);
}
return tmp;
}
real(8) function code(x, y, z, t, a)
real(8), intent (in) :: x
real(8), intent (in) :: y
real(8), intent (in) :: z
real(8), intent (in) :: t
real(8), intent (in) :: a
real(8) :: tmp
if (t <= (-1.02d+160)) then
tmp = (y / t) * -z
else if (t <= (-205000.0d0)) then
tmp = x / t
else if (t <= 8.2d-13) then
tmp = y / a
else if (t <= 3.7d+244) then
tmp = x / t
else
tmp = z / -(t / y)
end if
code = tmp
end function
public static double code(double x, double y, double z, double t, double a) {
double tmp;
if (t <= -1.02e+160) {
tmp = (y / t) * -z;
} else if (t <= -205000.0) {
tmp = x / t;
} else if (t <= 8.2e-13) {
tmp = y / a;
} else if (t <= 3.7e+244) {
tmp = x / t;
} else {
tmp = z / -(t / y);
}
return tmp;
}
def code(x, y, z, t, a): tmp = 0 if t <= -1.02e+160: tmp = (y / t) * -z elif t <= -205000.0: tmp = x / t elif t <= 8.2e-13: tmp = y / a elif t <= 3.7e+244: tmp = x / t else: tmp = z / -(t / y) return tmp
function code(x, y, z, t, a) tmp = 0.0 if (t <= -1.02e+160) tmp = Float64(Float64(y / t) * Float64(-z)); elseif (t <= -205000.0) tmp = Float64(x / t); elseif (t <= 8.2e-13) tmp = Float64(y / a); elseif (t <= 3.7e+244) tmp = Float64(x / t); else tmp = Float64(z / Float64(-Float64(t / y))); end return tmp end
function tmp_2 = code(x, y, z, t, a) tmp = 0.0; if (t <= -1.02e+160) tmp = (y / t) * -z; elseif (t <= -205000.0) tmp = x / t; elseif (t <= 8.2e-13) tmp = y / a; elseif (t <= 3.7e+244) tmp = x / t; else tmp = z / -(t / y); end tmp_2 = tmp; end
code[x_, y_, z_, t_, a_] := If[LessEqual[t, -1.02e+160], N[(N[(y / t), $MachinePrecision] * (-z)), $MachinePrecision], If[LessEqual[t, -205000.0], N[(x / t), $MachinePrecision], If[LessEqual[t, 8.2e-13], N[(y / a), $MachinePrecision], If[LessEqual[t, 3.7e+244], N[(x / t), $MachinePrecision], N[(z / (-N[(t / y), $MachinePrecision])), $MachinePrecision]]]]]
\begin{array}{l}
\\
\begin{array}{l}
\mathbf{if}\;t \leq -1.02 \cdot 10^{+160}:\\
\;\;\;\;\frac{y}{t} \cdot \left(-z\right)\\
\mathbf{elif}\;t \leq -205000:\\
\;\;\;\;\frac{x}{t}\\
\mathbf{elif}\;t \leq 8.2 \cdot 10^{-13}:\\
\;\;\;\;\frac{y}{a}\\
\mathbf{elif}\;t \leq 3.7 \cdot 10^{+244}:\\
\;\;\;\;\frac{x}{t}\\
\mathbf{else}:\\
\;\;\;\;\frac{z}{-\frac{t}{y}}\\
\end{array}
\end{array}
(FPCore (x y z t a)
:precision binary64
(if (<= t -9.2e+160)
(* (/ y t) (- z))
(if (<= t -1050.0)
(/ x t)
(if (<= t 1.15e-10)
(/ y a)
(if (<= t 1.65e+246) (/ x t) (- (/ (* y z) t)))))))
double code(double x, double y, double z, double t, double a) {
double tmp;
if (t <= -9.2e+160) {
tmp = (y / t) * -z;
} else if (t <= -1050.0) {
tmp = x / t;
} else if (t <= 1.15e-10) {
tmp = y / a;
} else if (t <= 1.65e+246) {
tmp = x / t;
} else {
tmp = -((y * z) / t);
}
return tmp;
}
real(8) function code(x, y, z, t, a)
real(8), intent (in) :: x
real(8), intent (in) :: y
real(8), intent (in) :: z
real(8), intent (in) :: t
real(8), intent (in) :: a
real(8) :: tmp
if (t <= (-9.2d+160)) then
tmp = (y / t) * -z
else if (t <= (-1050.0d0)) then
tmp = x / t
else if (t <= 1.15d-10) then
tmp = y / a
else if (t <= 1.65d+246) then
tmp = x / t
else
tmp = -((y * z) / t)
end if
code = tmp
end function
public static double code(double x, double y, double z, double t, double a) {
double tmp;
if (t <= -9.2e+160) {
tmp = (y / t) * -z;
} else if (t <= -1050.0) {
tmp = x / t;
} else if (t <= 1.15e-10) {
tmp = y / a;
} else if (t <= 1.65e+246) {
tmp = x / t;
} else {
tmp = -((y * z) / t);
}
return tmp;
}
def code(x, y, z, t, a): tmp = 0 if t <= -9.2e+160: tmp = (y / t) * -z elif t <= -1050.0: tmp = x / t elif t <= 1.15e-10: tmp = y / a elif t <= 1.65e+246: tmp = x / t else: tmp = -((y * z) / t) return tmp
function code(x, y, z, t, a) tmp = 0.0 if (t <= -9.2e+160) tmp = Float64(Float64(y / t) * Float64(-z)); elseif (t <= -1050.0) tmp = Float64(x / t); elseif (t <= 1.15e-10) tmp = Float64(y / a); elseif (t <= 1.65e+246) tmp = Float64(x / t); else tmp = Float64(-Float64(Float64(y * z) / t)); end return tmp end
function tmp_2 = code(x, y, z, t, a) tmp = 0.0; if (t <= -9.2e+160) tmp = (y / t) * -z; elseif (t <= -1050.0) tmp = x / t; elseif (t <= 1.15e-10) tmp = y / a; elseif (t <= 1.65e+246) tmp = x / t; else tmp = -((y * z) / t); end tmp_2 = tmp; end
code[x_, y_, z_, t_, a_] := If[LessEqual[t, -9.2e+160], N[(N[(y / t), $MachinePrecision] * (-z)), $MachinePrecision], If[LessEqual[t, -1050.0], N[(x / t), $MachinePrecision], If[LessEqual[t, 1.15e-10], N[(y / a), $MachinePrecision], If[LessEqual[t, 1.65e+246], N[(x / t), $MachinePrecision], (-N[(N[(y * z), $MachinePrecision] / t), $MachinePrecision])]]]]
\begin{array}{l}
\\
\begin{array}{l}
\mathbf{if}\;t \leq -9.2 \cdot 10^{+160}:\\
\;\;\;\;\frac{y}{t} \cdot \left(-z\right)\\
\mathbf{elif}\;t \leq -1050:\\
\;\;\;\;\frac{x}{t}\\
\mathbf{elif}\;t \leq 1.15 \cdot 10^{-10}:\\
\;\;\;\;\frac{y}{a}\\
\mathbf{elif}\;t \leq 1.65 \cdot 10^{+246}:\\
\;\;\;\;\frac{x}{t}\\
\mathbf{else}:\\
\;\;\;\;-\frac{y \cdot z}{t}\\
\end{array}
\end{array}
(FPCore (x y z t a)
:precision binary64
(if (<= z -3.15e+72)
(/ y a)
(if (<= z 82000000000000.0)
(/ x t)
(if (<= z 6.5e+39)
(/ (- y) (/ t z))
(if (<= z 1.05e+84) (/ x t) (/ y a))))))
double code(double x, double y, double z, double t, double a) {
double tmp;
if (z <= -3.15e+72) {
tmp = y / a;
} else if (z <= 82000000000000.0) {
tmp = x / t;
} else if (z <= 6.5e+39) {
tmp = -y / (t / z);
} else if (z <= 1.05e+84) {
tmp = x / t;
} else {
tmp = y / a;
}
return tmp;
}
real(8) function code(x, y, z, t, a)
real(8), intent (in) :: x
real(8), intent (in) :: y
real(8), intent (in) :: z
real(8), intent (in) :: t
real(8), intent (in) :: a
real(8) :: tmp
if (z <= (-3.15d+72)) then
tmp = y / a
else if (z <= 82000000000000.0d0) then
tmp = x / t
else if (z <= 6.5d+39) then
tmp = -y / (t / z)
else if (z <= 1.05d+84) then
tmp = x / t
else
tmp = y / a
end if
code = tmp
end function
public static double code(double x, double y, double z, double t, double a) {
double tmp;
if (z <= -3.15e+72) {
tmp = y / a;
} else if (z <= 82000000000000.0) {
tmp = x / t;
} else if (z <= 6.5e+39) {
tmp = -y / (t / z);
} else if (z <= 1.05e+84) {
tmp = x / t;
} else {
tmp = y / a;
}
return tmp;
}
def code(x, y, z, t, a): tmp = 0 if z <= -3.15e+72: tmp = y / a elif z <= 82000000000000.0: tmp = x / t elif z <= 6.5e+39: tmp = -y / (t / z) elif z <= 1.05e+84: tmp = x / t else: tmp = y / a return tmp
function code(x, y, z, t, a) tmp = 0.0 if (z <= -3.15e+72) tmp = Float64(y / a); elseif (z <= 82000000000000.0) tmp = Float64(x / t); elseif (z <= 6.5e+39) tmp = Float64(Float64(-y) / Float64(t / z)); elseif (z <= 1.05e+84) tmp = Float64(x / t); else tmp = Float64(y / a); end return tmp end
function tmp_2 = code(x, y, z, t, a) tmp = 0.0; if (z <= -3.15e+72) tmp = y / a; elseif (z <= 82000000000000.0) tmp = x / t; elseif (z <= 6.5e+39) tmp = -y / (t / z); elseif (z <= 1.05e+84) tmp = x / t; else tmp = y / a; end tmp_2 = tmp; end
code[x_, y_, z_, t_, a_] := If[LessEqual[z, -3.15e+72], N[(y / a), $MachinePrecision], If[LessEqual[z, 82000000000000.0], N[(x / t), $MachinePrecision], If[LessEqual[z, 6.5e+39], N[((-y) / N[(t / z), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 1.05e+84], N[(x / t), $MachinePrecision], N[(y / a), $MachinePrecision]]]]]
\begin{array}{l}
\\
\begin{array}{l}
\mathbf{if}\;z \leq -3.15 \cdot 10^{+72}:\\
\;\;\;\;\frac{y}{a}\\
\mathbf{elif}\;z \leq 82000000000000:\\
\;\;\;\;\frac{x}{t}\\
\mathbf{elif}\;z \leq 6.5 \cdot 10^{+39}:\\
\;\;\;\;\frac{-y}{\frac{t}{z}}\\
\mathbf{elif}\;z \leq 1.05 \cdot 10^{+84}:\\
\;\;\;\;\frac{x}{t}\\
\mathbf{else}:\\
\;\;\;\;\frac{y}{a}\\
\end{array}
\end{array}
(FPCore (x y z t a) :precision binary64 (if (or (<= z -2.1e+76) (not (<= z 1.35e+84))) (/ y a) (/ x (- t (* z a)))))
double code(double x, double y, double z, double t, double a) {
double tmp;
if ((z <= -2.1e+76) || !(z <= 1.35e+84)) {
tmp = y / a;
} else {
tmp = x / (t - (z * a));
}
return tmp;
}
real(8) function code(x, y, z, t, a)
real(8), intent (in) :: x
real(8), intent (in) :: y
real(8), intent (in) :: z
real(8), intent (in) :: t
real(8), intent (in) :: a
real(8) :: tmp
if ((z <= (-2.1d+76)) .or. (.not. (z <= 1.35d+84))) then
tmp = y / a
else
tmp = x / (t - (z * a))
end if
code = tmp
end function
public static double code(double x, double y, double z, double t, double a) {
double tmp;
if ((z <= -2.1e+76) || !(z <= 1.35e+84)) {
tmp = y / a;
} else {
tmp = x / (t - (z * a));
}
return tmp;
}
def code(x, y, z, t, a): tmp = 0 if (z <= -2.1e+76) or not (z <= 1.35e+84): tmp = y / a else: tmp = x / (t - (z * a)) return tmp
function code(x, y, z, t, a) tmp = 0.0 if ((z <= -2.1e+76) || !(z <= 1.35e+84)) tmp = Float64(y / a); else tmp = Float64(x / Float64(t - Float64(z * a))); end return tmp end
function tmp_2 = code(x, y, z, t, a) tmp = 0.0; if ((z <= -2.1e+76) || ~((z <= 1.35e+84))) tmp = y / a; else tmp = x / (t - (z * a)); end tmp_2 = tmp; end
code[x_, y_, z_, t_, a_] := If[Or[LessEqual[z, -2.1e+76], N[Not[LessEqual[z, 1.35e+84]], $MachinePrecision]], N[(y / a), $MachinePrecision], N[(x / N[(t - N[(z * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]
\begin{array}{l}
\\
\begin{array}{l}
\mathbf{if}\;z \leq -2.1 \cdot 10^{+76} \lor \neg \left(z \leq 1.35 \cdot 10^{+84}\right):\\
\;\;\;\;\frac{y}{a}\\
\mathbf{else}:\\
\;\;\;\;\frac{x}{t - z \cdot a}\\
\end{array}
\end{array}
(FPCore (x y z t a) :precision binary64 (if (or (<= z -1.12e+72) (not (<= z 9.5e+83))) (/ y a) (/ x t)))
double code(double x, double y, double z, double t, double a) {
double tmp;
if ((z <= -1.12e+72) || !(z <= 9.5e+83)) {
tmp = y / a;
} else {
tmp = x / t;
}
return tmp;
}
real(8) function code(x, y, z, t, a)
real(8), intent (in) :: x
real(8), intent (in) :: y
real(8), intent (in) :: z
real(8), intent (in) :: t
real(8), intent (in) :: a
real(8) :: tmp
if ((z <= (-1.12d+72)) .or. (.not. (z <= 9.5d+83))) then
tmp = y / a
else
tmp = x / t
end if
code = tmp
end function
public static double code(double x, double y, double z, double t, double a) {
double tmp;
if ((z <= -1.12e+72) || !(z <= 9.5e+83)) {
tmp = y / a;
} else {
tmp = x / t;
}
return tmp;
}
def code(x, y, z, t, a): tmp = 0 if (z <= -1.12e+72) or not (z <= 9.5e+83): tmp = y / a else: tmp = x / t return tmp
function code(x, y, z, t, a) tmp = 0.0 if ((z <= -1.12e+72) || !(z <= 9.5e+83)) tmp = Float64(y / a); else tmp = Float64(x / t); end return tmp end
function tmp_2 = code(x, y, z, t, a) tmp = 0.0; if ((z <= -1.12e+72) || ~((z <= 9.5e+83))) tmp = y / a; else tmp = x / t; end tmp_2 = tmp; end
code[x_, y_, z_, t_, a_] := If[Or[LessEqual[z, -1.12e+72], N[Not[LessEqual[z, 9.5e+83]], $MachinePrecision]], N[(y / a), $MachinePrecision], N[(x / t), $MachinePrecision]]
\begin{array}{l}
\\
\begin{array}{l}
\mathbf{if}\;z \leq -1.12 \cdot 10^{+72} \lor \neg \left(z \leq 9.5 \cdot 10^{+83}\right):\\
\;\;\;\;\frac{y}{a}\\
\mathbf{else}:\\
\;\;\;\;\frac{x}{t}\\
\end{array}
\end{array}
(FPCore (x y z t a) :precision binary64 (/ x t))
double code(double x, double y, double z, double t, double a) {
return x / t;
}
real(8) function code(x, y, z, t, a)
real(8), intent (in) :: x
real(8), intent (in) :: y
real(8), intent (in) :: z
real(8), intent (in) :: t
real(8), intent (in) :: a
code = x / t
end function
public static double code(double x, double y, double z, double t, double a) {
return x / t;
}
def code(x, y, z, t, a): return x / t
function code(x, y, z, t, a) return Float64(x / t) end
function tmp = code(x, y, z, t, a) tmp = x / t; end
code[x_, y_, z_, t_, a_] := N[(x / t), $MachinePrecision]
\begin{array}{l}
\\
\frac{x}{t}
\end{array}
(FPCore (x y z t a)
:precision binary64
(let* ((t_1 (- t (* a z))) (t_2 (- (/ x t_1) (/ y (- (/ t z) a)))))
(if (< z -32113435955957344.0)
t_2
(if (< z 3.5139522372978296e-86) (* (- x (* y z)) (/ 1.0 t_1)) t_2))))
double code(double x, double y, double z, double t, double a) {
double t_1 = t - (a * z);
double t_2 = (x / t_1) - (y / ((t / z) - a));
double tmp;
if (z < -32113435955957344.0) {
tmp = t_2;
} else if (z < 3.5139522372978296e-86) {
tmp = (x - (y * z)) * (1.0 / t_1);
} else {
tmp = t_2;
}
return tmp;
}
real(8) function code(x, y, z, t, a)
real(8), intent (in) :: x
real(8), intent (in) :: y
real(8), intent (in) :: z
real(8), intent (in) :: t
real(8), intent (in) :: a
real(8) :: t_1
real(8) :: t_2
real(8) :: tmp
t_1 = t - (a * z)
t_2 = (x / t_1) - (y / ((t / z) - a))
if (z < (-32113435955957344.0d0)) then
tmp = t_2
else if (z < 3.5139522372978296d-86) then
tmp = (x - (y * z)) * (1.0d0 / t_1)
else
tmp = t_2
end if
code = tmp
end function
public static double code(double x, double y, double z, double t, double a) {
double t_1 = t - (a * z);
double t_2 = (x / t_1) - (y / ((t / z) - a));
double tmp;
if (z < -32113435955957344.0) {
tmp = t_2;
} else if (z < 3.5139522372978296e-86) {
tmp = (x - (y * z)) * (1.0 / t_1);
} else {
tmp = t_2;
}
return tmp;
}
def code(x, y, z, t, a): t_1 = t - (a * z) t_2 = (x / t_1) - (y / ((t / z) - a)) tmp = 0 if z < -32113435955957344.0: tmp = t_2 elif z < 3.5139522372978296e-86: tmp = (x - (y * z)) * (1.0 / t_1) else: tmp = t_2 return tmp
function code(x, y, z, t, a) t_1 = Float64(t - Float64(a * z)) t_2 = Float64(Float64(x / t_1) - Float64(y / Float64(Float64(t / z) - a))) tmp = 0.0 if (z < -32113435955957344.0) tmp = t_2; elseif (z < 3.5139522372978296e-86) tmp = Float64(Float64(x - Float64(y * z)) * Float64(1.0 / t_1)); else tmp = t_2; end return tmp end
function tmp_2 = code(x, y, z, t, a) t_1 = t - (a * z); t_2 = (x / t_1) - (y / ((t / z) - a)); tmp = 0.0; if (z < -32113435955957344.0) tmp = t_2; elseif (z < 3.5139522372978296e-86) tmp = (x - (y * z)) * (1.0 / t_1); else tmp = t_2; end tmp_2 = tmp; end
code[x_, y_, z_, t_, a_] := Block[{t$95$1 = N[(t - N[(a * z), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(x / t$95$1), $MachinePrecision] - N[(y / N[(N[(t / z), $MachinePrecision] - a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[Less[z, -32113435955957344.0], t$95$2, If[Less[z, 3.5139522372978296e-86], N[(N[(x - N[(y * z), $MachinePrecision]), $MachinePrecision] * N[(1.0 / t$95$1), $MachinePrecision]), $MachinePrecision], t$95$2]]]]
\begin{array}{l}
\\
\begin{array}{l}
t_1 := t - a \cdot z\\
t_2 := \frac{x}{t_1} - \frac{y}{\frac{t}{z} - a}\\
\mathbf{if}\;z < -32113435955957344:\\
\;\;\;\;t_2\\
\mathbf{elif}\;z < 3.5139522372978296 \cdot 10^{-86}:\\
\;\;\;\;\left(x - y \cdot z\right) \cdot \frac{1}{t_1}\\
\mathbf{else}:\\
\;\;\;\;t_2\\
\end{array}
\end{array}
herbie shell --seed 2023348
(FPCore (x y z t a)
:name "Diagrams.Solve.Tridiagonal:solveTriDiagonal from diagrams-solve-0.1, A"
:precision binary64
:herbie-target
(if (< z -32113435955957344.0) (- (/ x (- t (* a z))) (/ y (- (/ t z) a))) (if (< z 3.5139522372978296e-86) (* (- x (* y z)) (/ 1.0 (- t (* a z)))) (- (/ x (- t (* a z))) (/ y (- (/ t z) a)))))
(/ (- x (* y z)) (- t (* a z))))