Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2, D

Percentage Accurate: 58.1% → 94.8%
Time: 16.8s
Alternatives: 12
Speedup: 7.4×

Specification

?
\[\begin{array}{l} \\ x + \frac{y \cdot \left(\left(\left(\left(z \cdot 3.13060547623 + 11.1667541262\right) \cdot z + t\right) \cdot z + a\right) \cdot z + b\right)}{\left(\left(\left(z + 15.234687407\right) \cdot z + 31.4690115749\right) \cdot z + 11.9400905721\right) \cdot z + 0.607771387771} \end{array} \]
(FPCore (x y z t a b)
 :precision binary64
 (+
  x
  (/
   (*
    y
    (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
   (+
    (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z)
    0.607771387771))))
double code(double x, double y, double z, double t, double a, double b) {
	return x + ((y * ((((((((z * 3.13060547623) + 11.1667541262) * z) + t) * z) + a) * z) + b)) / (((((((z + 15.234687407) * z) + 31.4690115749) * z) + 11.9400905721) * z) + 0.607771387771));
}
real(8) function code(x, y, z, t, a, b)
    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), intent (in) :: b
    code = x + ((y * ((((((((z * 3.13060547623d0) + 11.1667541262d0) * z) + t) * z) + a) * z) + b)) / (((((((z + 15.234687407d0) * z) + 31.4690115749d0) * z) + 11.9400905721d0) * z) + 0.607771387771d0))
end function
public static double code(double x, double y, double z, double t, double a, double b) {
	return x + ((y * ((((((((z * 3.13060547623) + 11.1667541262) * z) + t) * z) + a) * z) + b)) / (((((((z + 15.234687407) * z) + 31.4690115749) * z) + 11.9400905721) * z) + 0.607771387771));
}
def code(x, y, z, t, a, b):
	return x + ((y * ((((((((z * 3.13060547623) + 11.1667541262) * z) + t) * z) + a) * z) + b)) / (((((((z + 15.234687407) * z) + 31.4690115749) * z) + 11.9400905721) * z) + 0.607771387771))
function code(x, y, z, t, a, b)
	return Float64(x + Float64(Float64(y * Float64(Float64(Float64(Float64(Float64(Float64(Float64(Float64(z * 3.13060547623) + 11.1667541262) * z) + t) * z) + a) * z) + b)) / Float64(Float64(Float64(Float64(Float64(Float64(Float64(z + 15.234687407) * z) + 31.4690115749) * z) + 11.9400905721) * z) + 0.607771387771)))
end
function tmp = code(x, y, z, t, a, b)
	tmp = x + ((y * ((((((((z * 3.13060547623) + 11.1667541262) * z) + t) * z) + a) * z) + b)) / (((((((z + 15.234687407) * z) + 31.4690115749) * z) + 11.9400905721) * z) + 0.607771387771));
end
code[x_, y_, z_, t_, a_, b_] := N[(x + N[(N[(y * N[(N[(N[(N[(N[(N[(N[(N[(z * 3.13060547623), $MachinePrecision] + 11.1667541262), $MachinePrecision] * z), $MachinePrecision] + t), $MachinePrecision] * z), $MachinePrecision] + a), $MachinePrecision] * z), $MachinePrecision] + b), $MachinePrecision]), $MachinePrecision] / N[(N[(N[(N[(N[(N[(N[(z + 15.234687407), $MachinePrecision] * z), $MachinePrecision] + 31.4690115749), $MachinePrecision] * z), $MachinePrecision] + 11.9400905721), $MachinePrecision] * z), $MachinePrecision] + 0.607771387771), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]
\begin{array}{l}

\\
x + \frac{y \cdot \left(\left(\left(\left(z \cdot 3.13060547623 + 11.1667541262\right) \cdot z + t\right) \cdot z + a\right) \cdot z + b\right)}{\left(\left(\left(z + 15.234687407\right) \cdot z + 31.4690115749\right) \cdot z + 11.9400905721\right) \cdot z + 0.607771387771}
\end{array}

Sampling outcomes in binary64 precision:

Local Percentage Accuracy vs ?

The average percentage accuracy by input value. Horizontal axis shows value of an input variable; the variable is choosen in the title. Vertical axis is accuracy; higher is better. Red represent the original program, while blue represents Herbie's suggestion. These can be toggled with buttons below the plot. The line is an average while dots represent individual samples.

Accuracy vs Speed?

Herbie found 12 alternatives:

AlternativeAccuracySpeedup
The accuracy (vertical axis) and speed (horizontal axis) of each alternatives. Up and to the right is better. The red square shows the initial program, and each blue circle shows an alternative.The line shows the best available speed-accuracy tradeoffs.

Initial Program: 58.1% accurate, 1.0× speedup?

\[\begin{array}{l} \\ x + \frac{y \cdot \left(\left(\left(\left(z \cdot 3.13060547623 + 11.1667541262\right) \cdot z + t\right) \cdot z + a\right) \cdot z + b\right)}{\left(\left(\left(z + 15.234687407\right) \cdot z + 31.4690115749\right) \cdot z + 11.9400905721\right) \cdot z + 0.607771387771} \end{array} \]
(FPCore (x y z t a b)
 :precision binary64
 (+
  x
  (/
   (*
    y
    (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
   (+
    (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z)
    0.607771387771))))
double code(double x, double y, double z, double t, double a, double b) {
	return x + ((y * ((((((((z * 3.13060547623) + 11.1667541262) * z) + t) * z) + a) * z) + b)) / (((((((z + 15.234687407) * z) + 31.4690115749) * z) + 11.9400905721) * z) + 0.607771387771));
}
real(8) function code(x, y, z, t, a, b)
    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), intent (in) :: b
    code = x + ((y * ((((((((z * 3.13060547623d0) + 11.1667541262d0) * z) + t) * z) + a) * z) + b)) / (((((((z + 15.234687407d0) * z) + 31.4690115749d0) * z) + 11.9400905721d0) * z) + 0.607771387771d0))
end function
public static double code(double x, double y, double z, double t, double a, double b) {
	return x + ((y * ((((((((z * 3.13060547623) + 11.1667541262) * z) + t) * z) + a) * z) + b)) / (((((((z + 15.234687407) * z) + 31.4690115749) * z) + 11.9400905721) * z) + 0.607771387771));
}
def code(x, y, z, t, a, b):
	return x + ((y * ((((((((z * 3.13060547623) + 11.1667541262) * z) + t) * z) + a) * z) + b)) / (((((((z + 15.234687407) * z) + 31.4690115749) * z) + 11.9400905721) * z) + 0.607771387771))
function code(x, y, z, t, a, b)
	return Float64(x + Float64(Float64(y * Float64(Float64(Float64(Float64(Float64(Float64(Float64(Float64(z * 3.13060547623) + 11.1667541262) * z) + t) * z) + a) * z) + b)) / Float64(Float64(Float64(Float64(Float64(Float64(Float64(z + 15.234687407) * z) + 31.4690115749) * z) + 11.9400905721) * z) + 0.607771387771)))
end
function tmp = code(x, y, z, t, a, b)
	tmp = x + ((y * ((((((((z * 3.13060547623) + 11.1667541262) * z) + t) * z) + a) * z) + b)) / (((((((z + 15.234687407) * z) + 31.4690115749) * z) + 11.9400905721) * z) + 0.607771387771));
end
code[x_, y_, z_, t_, a_, b_] := N[(x + N[(N[(y * N[(N[(N[(N[(N[(N[(N[(N[(z * 3.13060547623), $MachinePrecision] + 11.1667541262), $MachinePrecision] * z), $MachinePrecision] + t), $MachinePrecision] * z), $MachinePrecision] + a), $MachinePrecision] * z), $MachinePrecision] + b), $MachinePrecision]), $MachinePrecision] / N[(N[(N[(N[(N[(N[(N[(z + 15.234687407), $MachinePrecision] * z), $MachinePrecision] + 31.4690115749), $MachinePrecision] * z), $MachinePrecision] + 11.9400905721), $MachinePrecision] * z), $MachinePrecision] + 0.607771387771), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]
\begin{array}{l}

\\
x + \frac{y \cdot \left(\left(\left(\left(z \cdot 3.13060547623 + 11.1667541262\right) \cdot z + t\right) \cdot z + a\right) \cdot z + b\right)}{\left(\left(\left(z + 15.234687407\right) \cdot z + 31.4690115749\right) \cdot z + 11.9400905721\right) \cdot z + 0.607771387771}
\end{array}

Alternative 1: 94.8% accurate, 0.2× speedup?

\[\begin{array}{l} \\ \begin{array}{l} t_1 := t + z \cdot \left(11.1667541262 + z \cdot 3.13060547623\right)\\ t_2 := 0.607771387771 + z \cdot \left(11.9400905721 + z \cdot \left(31.4690115749 + z \cdot \left(z + 15.234687407\right)\right)\right)\\ \mathbf{if}\;\frac{y \cdot \left(z \cdot \left(z \cdot t_1 + a\right) + b\right)}{t_2} \leq \infty:\\ \;\;\;\;x + \left(y \cdot \left(\frac{b}{t_2} + \frac{{z}^{2} \cdot t_1}{t_2}\right) + \frac{a \cdot \left(y \cdot z\right)}{t_2}\right)\\ \mathbf{else}:\\ \;\;\;\;x + y \cdot 3.13060547623\\ \end{array} \end{array} \]
(FPCore (x y z t a b)
 :precision binary64
 (let* ((t_1 (+ t (* z (+ 11.1667541262 (* z 3.13060547623)))))
        (t_2
         (+
          0.607771387771
          (*
           z
           (+
            11.9400905721
            (* z (+ 31.4690115749 (* z (+ z 15.234687407)))))))))
   (if (<= (/ (* y (+ (* z (+ (* z t_1) a)) b)) t_2) INFINITY)
     (+
      x
      (+
       (* y (+ (/ b t_2) (/ (* (pow z 2.0) t_1) t_2)))
       (/ (* a (* y z)) t_2)))
     (+ x (* y 3.13060547623)))))
double code(double x, double y, double z, double t, double a, double b) {
	double t_1 = t + (z * (11.1667541262 + (z * 3.13060547623)));
	double t_2 = 0.607771387771 + (z * (11.9400905721 + (z * (31.4690115749 + (z * (z + 15.234687407))))));
	double tmp;
	if (((y * ((z * ((z * t_1) + a)) + b)) / t_2) <= ((double) INFINITY)) {
		tmp = x + ((y * ((b / t_2) + ((pow(z, 2.0) * t_1) / t_2))) + ((a * (y * z)) / t_2));
	} else {
		tmp = x + (y * 3.13060547623);
	}
	return tmp;
}
public static double code(double x, double y, double z, double t, double a, double b) {
	double t_1 = t + (z * (11.1667541262 + (z * 3.13060547623)));
	double t_2 = 0.607771387771 + (z * (11.9400905721 + (z * (31.4690115749 + (z * (z + 15.234687407))))));
	double tmp;
	if (((y * ((z * ((z * t_1) + a)) + b)) / t_2) <= Double.POSITIVE_INFINITY) {
		tmp = x + ((y * ((b / t_2) + ((Math.pow(z, 2.0) * t_1) / t_2))) + ((a * (y * z)) / t_2));
	} else {
		tmp = x + (y * 3.13060547623);
	}
	return tmp;
}
def code(x, y, z, t, a, b):
	t_1 = t + (z * (11.1667541262 + (z * 3.13060547623)))
	t_2 = 0.607771387771 + (z * (11.9400905721 + (z * (31.4690115749 + (z * (z + 15.234687407))))))
	tmp = 0
	if ((y * ((z * ((z * t_1) + a)) + b)) / t_2) <= math.inf:
		tmp = x + ((y * ((b / t_2) + ((math.pow(z, 2.0) * t_1) / t_2))) + ((a * (y * z)) / t_2))
	else:
		tmp = x + (y * 3.13060547623)
	return tmp
function code(x, y, z, t, a, b)
	t_1 = Float64(t + Float64(z * Float64(11.1667541262 + Float64(z * 3.13060547623))))
	t_2 = Float64(0.607771387771 + Float64(z * Float64(11.9400905721 + Float64(z * Float64(31.4690115749 + Float64(z * Float64(z + 15.234687407)))))))
	tmp = 0.0
	if (Float64(Float64(y * Float64(Float64(z * Float64(Float64(z * t_1) + a)) + b)) / t_2) <= Inf)
		tmp = Float64(x + Float64(Float64(y * Float64(Float64(b / t_2) + Float64(Float64((z ^ 2.0) * t_1) / t_2))) + Float64(Float64(a * Float64(y * z)) / t_2)));
	else
		tmp = Float64(x + Float64(y * 3.13060547623));
	end
	return tmp
end
function tmp_2 = code(x, y, z, t, a, b)
	t_1 = t + (z * (11.1667541262 + (z * 3.13060547623)));
	t_2 = 0.607771387771 + (z * (11.9400905721 + (z * (31.4690115749 + (z * (z + 15.234687407))))));
	tmp = 0.0;
	if (((y * ((z * ((z * t_1) + a)) + b)) / t_2) <= Inf)
		tmp = x + ((y * ((b / t_2) + (((z ^ 2.0) * t_1) / t_2))) + ((a * (y * z)) / t_2));
	else
		tmp = x + (y * 3.13060547623);
	end
	tmp_2 = tmp;
end
code[x_, y_, z_, t_, a_, b_] := Block[{t$95$1 = N[(t + N[(z * N[(11.1667541262 + N[(z * 3.13060547623), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(0.607771387771 + N[(z * N[(11.9400905721 + N[(z * N[(31.4690115749 + N[(z * N[(z + 15.234687407), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[N[(N[(y * N[(N[(z * N[(N[(z * t$95$1), $MachinePrecision] + a), $MachinePrecision]), $MachinePrecision] + b), $MachinePrecision]), $MachinePrecision] / t$95$2), $MachinePrecision], Infinity], N[(x + N[(N[(y * N[(N[(b / t$95$2), $MachinePrecision] + N[(N[(N[Power[z, 2.0], $MachinePrecision] * t$95$1), $MachinePrecision] / t$95$2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(a * N[(y * z), $MachinePrecision]), $MachinePrecision] / t$95$2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(x + N[(y * 3.13060547623), $MachinePrecision]), $MachinePrecision]]]]
\begin{array}{l}

\\
\begin{array}{l}
t_1 := t + z \cdot \left(11.1667541262 + z \cdot 3.13060547623\right)\\
t_2 := 0.607771387771 + z \cdot \left(11.9400905721 + z \cdot \left(31.4690115749 + z \cdot \left(z + 15.234687407\right)\right)\right)\\
\mathbf{if}\;\frac{y \cdot \left(z \cdot \left(z \cdot t_1 + a\right) + b\right)}{t_2} \leq \infty:\\
\;\;\;\;x + \left(y \cdot \left(\frac{b}{t_2} + \frac{{z}^{2} \cdot t_1}{t_2}\right) + \frac{a \cdot \left(y \cdot z\right)}{t_2}\right)\\

\mathbf{else}:\\
\;\;\;\;x + y \cdot 3.13060547623\\


\end{array}
\end{array}
Derivation
    &prev;&pcontext;&pcontext2;&ctx;
  1. Add Preprocessing

Alternative 2: 94.8% accurate, 0.5× speedup?

\[\begin{array}{l} \\ \begin{array}{l} t_1 := \frac{y \cdot \left(z \cdot \left(z \cdot \left(t + z \cdot \left(11.1667541262 + z \cdot 3.13060547623\right)\right) + a\right) + b\right)}{0.607771387771 + z \cdot \left(11.9400905721 + z \cdot \left(31.4690115749 + z \cdot \left(z + 15.234687407\right)\right)\right)}\\ \mathbf{if}\;t_1 \leq \infty:\\ \;\;\;\;t_1 + x\\ \mathbf{else}:\\ \;\;\;\;x + y \cdot 3.13060547623\\ \end{array} \end{array} \]
(FPCore (x y z t a b)
 :precision binary64
 (let* ((t_1
         (/
          (*
           y
           (+
            (* z (+ (* z (+ t (* z (+ 11.1667541262 (* z 3.13060547623))))) a))
            b))
          (+
           0.607771387771
           (*
            z
            (+
             11.9400905721
             (* z (+ 31.4690115749 (* z (+ z 15.234687407))))))))))
   (if (<= t_1 INFINITY) (+ t_1 x) (+ x (* y 3.13060547623)))))
double code(double x, double y, double z, double t, double a, double b) {
	double t_1 = (y * ((z * ((z * (t + (z * (11.1667541262 + (z * 3.13060547623))))) + a)) + b)) / (0.607771387771 + (z * (11.9400905721 + (z * (31.4690115749 + (z * (z + 15.234687407)))))));
	double tmp;
	if (t_1 <= ((double) INFINITY)) {
		tmp = t_1 + x;
	} else {
		tmp = x + (y * 3.13060547623);
	}
	return tmp;
}
public static double code(double x, double y, double z, double t, double a, double b) {
	double t_1 = (y * ((z * ((z * (t + (z * (11.1667541262 + (z * 3.13060547623))))) + a)) + b)) / (0.607771387771 + (z * (11.9400905721 + (z * (31.4690115749 + (z * (z + 15.234687407)))))));
	double tmp;
	if (t_1 <= Double.POSITIVE_INFINITY) {
		tmp = t_1 + x;
	} else {
		tmp = x + (y * 3.13060547623);
	}
	return tmp;
}
def code(x, y, z, t, a, b):
	t_1 = (y * ((z * ((z * (t + (z * (11.1667541262 + (z * 3.13060547623))))) + a)) + b)) / (0.607771387771 + (z * (11.9400905721 + (z * (31.4690115749 + (z * (z + 15.234687407)))))))
	tmp = 0
	if t_1 <= math.inf:
		tmp = t_1 + x
	else:
		tmp = x + (y * 3.13060547623)
	return tmp
function code(x, y, z, t, a, b)
	t_1 = Float64(Float64(y * Float64(Float64(z * Float64(Float64(z * Float64(t + Float64(z * Float64(11.1667541262 + Float64(z * 3.13060547623))))) + a)) + b)) / Float64(0.607771387771 + Float64(z * Float64(11.9400905721 + Float64(z * Float64(31.4690115749 + Float64(z * Float64(z + 15.234687407))))))))
	tmp = 0.0
	if (t_1 <= Inf)
		tmp = Float64(t_1 + x);
	else
		tmp = Float64(x + Float64(y * 3.13060547623));
	end
	return tmp
end
function tmp_2 = code(x, y, z, t, a, b)
	t_1 = (y * ((z * ((z * (t + (z * (11.1667541262 + (z * 3.13060547623))))) + a)) + b)) / (0.607771387771 + (z * (11.9400905721 + (z * (31.4690115749 + (z * (z + 15.234687407)))))));
	tmp = 0.0;
	if (t_1 <= Inf)
		tmp = t_1 + x;
	else
		tmp = x + (y * 3.13060547623);
	end
	tmp_2 = tmp;
end
code[x_, y_, z_, t_, a_, b_] := Block[{t$95$1 = N[(N[(y * N[(N[(z * N[(N[(z * N[(t + N[(z * N[(11.1667541262 + N[(z * 3.13060547623), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + a), $MachinePrecision]), $MachinePrecision] + b), $MachinePrecision]), $MachinePrecision] / N[(0.607771387771 + N[(z * N[(11.9400905721 + N[(z * N[(31.4690115749 + N[(z * N[(z + 15.234687407), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t$95$1, Infinity], N[(t$95$1 + x), $MachinePrecision], N[(x + N[(y * 3.13060547623), $MachinePrecision]), $MachinePrecision]]]
\begin{array}{l}

\\
\begin{array}{l}
t_1 := \frac{y \cdot \left(z \cdot \left(z \cdot \left(t + z \cdot \left(11.1667541262 + z \cdot 3.13060547623\right)\right) + a\right) + b\right)}{0.607771387771 + z \cdot \left(11.9400905721 + z \cdot \left(31.4690115749 + z \cdot \left(z + 15.234687407\right)\right)\right)}\\
\mathbf{if}\;t_1 \leq \infty:\\
\;\;\;\;t_1 + x\\

\mathbf{else}:\\
\;\;\;\;x + y \cdot 3.13060547623\\


\end{array}
\end{array}
Derivation
    &prev;&pcontext;&pcontext2;&ctx;
  1. Add Preprocessing

Alternative 3: 95.1% accurate, 1.0× speedup?

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;z \leq -4 \cdot 10^{+46} \lor \neg \left(z \leq 6.3 \cdot 10^{+50}\right):\\ \;\;\;\;x + y \cdot 3.13060547623\\ \mathbf{else}:\\ \;\;\;\;x + \frac{y \cdot \left(b + z \cdot \left(a + z \cdot \left(t + z \cdot 11.1667541262\right)\right)\right)}{0.607771387771 + z \cdot \left(11.9400905721 + z \cdot \left(31.4690115749 + z \cdot \left(z + 15.234687407\right)\right)\right)}\\ \end{array} \end{array} \]
(FPCore (x y z t a b)
 :precision binary64
 (if (or (<= z -4e+46) (not (<= z 6.3e+50)))
   (+ x (* y 3.13060547623))
   (+
    x
    (/
     (* y (+ b (* z (+ a (* z (+ t (* z 11.1667541262)))))))
     (+
      0.607771387771
      (*
       z
       (+ 11.9400905721 (* z (+ 31.4690115749 (* z (+ z 15.234687407)))))))))))
double code(double x, double y, double z, double t, double a, double b) {
	double tmp;
	if ((z <= -4e+46) || !(z <= 6.3e+50)) {
		tmp = x + (y * 3.13060547623);
	} else {
		tmp = x + ((y * (b + (z * (a + (z * (t + (z * 11.1667541262))))))) / (0.607771387771 + (z * (11.9400905721 + (z * (31.4690115749 + (z * (z + 15.234687407))))))));
	}
	return tmp;
}
real(8) function code(x, y, z, t, a, b)
    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), intent (in) :: b
    real(8) :: tmp
    if ((z <= (-4d+46)) .or. (.not. (z <= 6.3d+50))) then
        tmp = x + (y * 3.13060547623d0)
    else
        tmp = x + ((y * (b + (z * (a + (z * (t + (z * 11.1667541262d0))))))) / (0.607771387771d0 + (z * (11.9400905721d0 + (z * (31.4690115749d0 + (z * (z + 15.234687407d0))))))))
    end if
    code = tmp
end function
public static double code(double x, double y, double z, double t, double a, double b) {
	double tmp;
	if ((z <= -4e+46) || !(z <= 6.3e+50)) {
		tmp = x + (y * 3.13060547623);
	} else {
		tmp = x + ((y * (b + (z * (a + (z * (t + (z * 11.1667541262))))))) / (0.607771387771 + (z * (11.9400905721 + (z * (31.4690115749 + (z * (z + 15.234687407))))))));
	}
	return tmp;
}
def code(x, y, z, t, a, b):
	tmp = 0
	if (z <= -4e+46) or not (z <= 6.3e+50):
		tmp = x + (y * 3.13060547623)
	else:
		tmp = x + ((y * (b + (z * (a + (z * (t + (z * 11.1667541262))))))) / (0.607771387771 + (z * (11.9400905721 + (z * (31.4690115749 + (z * (z + 15.234687407))))))))
	return tmp
function code(x, y, z, t, a, b)
	tmp = 0.0
	if ((z <= -4e+46) || !(z <= 6.3e+50))
		tmp = Float64(x + Float64(y * 3.13060547623));
	else
		tmp = Float64(x + Float64(Float64(y * Float64(b + Float64(z * Float64(a + Float64(z * Float64(t + Float64(z * 11.1667541262))))))) / Float64(0.607771387771 + Float64(z * Float64(11.9400905721 + Float64(z * Float64(31.4690115749 + Float64(z * Float64(z + 15.234687407)))))))));
	end
	return tmp
end
function tmp_2 = code(x, y, z, t, a, b)
	tmp = 0.0;
	if ((z <= -4e+46) || ~((z <= 6.3e+50)))
		tmp = x + (y * 3.13060547623);
	else
		tmp = x + ((y * (b + (z * (a + (z * (t + (z * 11.1667541262))))))) / (0.607771387771 + (z * (11.9400905721 + (z * (31.4690115749 + (z * (z + 15.234687407))))))));
	end
	tmp_2 = tmp;
end
code[x_, y_, z_, t_, a_, b_] := If[Or[LessEqual[z, -4e+46], N[Not[LessEqual[z, 6.3e+50]], $MachinePrecision]], N[(x + N[(y * 3.13060547623), $MachinePrecision]), $MachinePrecision], N[(x + N[(N[(y * N[(b + N[(z * N[(a + N[(z * N[(t + N[(z * 11.1667541262), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / N[(0.607771387771 + N[(z * N[(11.9400905721 + N[(z * N[(31.4690115749 + N[(z * N[(z + 15.234687407), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]
\begin{array}{l}

\\
\begin{array}{l}
\mathbf{if}\;z \leq -4 \cdot 10^{+46} \lor \neg \left(z \leq 6.3 \cdot 10^{+50}\right):\\
\;\;\;\;x + y \cdot 3.13060547623\\

\mathbf{else}:\\
\;\;\;\;x + \frac{y \cdot \left(b + z \cdot \left(a + z \cdot \left(t + z \cdot 11.1667541262\right)\right)\right)}{0.607771387771 + z \cdot \left(11.9400905721 + z \cdot \left(31.4690115749 + z \cdot \left(z + 15.234687407\right)\right)\right)}\\


\end{array}
\end{array}
Derivation
    &prev;&pcontext;&pcontext2;&ctx;
  1. Add Preprocessing

Alternative 4: 92.6% accurate, 1.1× speedup?

\[\begin{array}{l} \\ \begin{array}{l} t_1 := x + y \cdot 3.13060547623\\ \mathbf{if}\;z \leq -3.1 \cdot 10^{+71}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -4.4 \cdot 10^{-5}:\\ \;\;\;\;x + \frac{a \cdot \left(y \cdot z\right)}{0.607771387771 + z \cdot \left(11.9400905721 + z \cdot \left(31.4690115749 + z \cdot \left(z + 15.234687407\right)\right)\right)}\\ \mathbf{elif}\;z \leq 3.7 \cdot 10^{+28}:\\ \;\;\;\;x + \frac{y \cdot \left(z \cdot \left(z \cdot \left(t + z \cdot \left(11.1667541262 + z \cdot 3.13060547623\right)\right) + a\right) + b\right)}{0.607771387771 + z \cdot 11.9400905721}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]
(FPCore (x y z t a b)
 :precision binary64
 (let* ((t_1 (+ x (* y 3.13060547623))))
   (if (<= z -3.1e+71)
     t_1
     (if (<= z -4.4e-5)
       (+
        x
        (/
         (* a (* y z))
         (+
          0.607771387771
          (*
           z
           (+
            11.9400905721
            (* z (+ 31.4690115749 (* z (+ z 15.234687407)))))))))
       (if (<= z 3.7e+28)
         (+
          x
          (/
           (*
            y
            (+
             (*
              z
              (+ (* z (+ t (* z (+ 11.1667541262 (* z 3.13060547623))))) a))
             b))
           (+ 0.607771387771 (* z 11.9400905721))))
         t_1)))))
double code(double x, double y, double z, double t, double a, double b) {
	double t_1 = x + (y * 3.13060547623);
	double tmp;
	if (z <= -3.1e+71) {
		tmp = t_1;
	} else if (z <= -4.4e-5) {
		tmp = x + ((a * (y * z)) / (0.607771387771 + (z * (11.9400905721 + (z * (31.4690115749 + (z * (z + 15.234687407))))))));
	} else if (z <= 3.7e+28) {
		tmp = x + ((y * ((z * ((z * (t + (z * (11.1667541262 + (z * 3.13060547623))))) + a)) + b)) / (0.607771387771 + (z * 11.9400905721)));
	} else {
		tmp = t_1;
	}
	return tmp;
}
real(8) function code(x, y, z, t, a, b)
    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), intent (in) :: b
    real(8) :: t_1
    real(8) :: tmp
    t_1 = x + (y * 3.13060547623d0)
    if (z <= (-3.1d+71)) then
        tmp = t_1
    else if (z <= (-4.4d-5)) then
        tmp = x + ((a * (y * z)) / (0.607771387771d0 + (z * (11.9400905721d0 + (z * (31.4690115749d0 + (z * (z + 15.234687407d0))))))))
    else if (z <= 3.7d+28) then
        tmp = x + ((y * ((z * ((z * (t + (z * (11.1667541262d0 + (z * 3.13060547623d0))))) + a)) + b)) / (0.607771387771d0 + (z * 11.9400905721d0)))
    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 b) {
	double t_1 = x + (y * 3.13060547623);
	double tmp;
	if (z <= -3.1e+71) {
		tmp = t_1;
	} else if (z <= -4.4e-5) {
		tmp = x + ((a * (y * z)) / (0.607771387771 + (z * (11.9400905721 + (z * (31.4690115749 + (z * (z + 15.234687407))))))));
	} else if (z <= 3.7e+28) {
		tmp = x + ((y * ((z * ((z * (t + (z * (11.1667541262 + (z * 3.13060547623))))) + a)) + b)) / (0.607771387771 + (z * 11.9400905721)));
	} else {
		tmp = t_1;
	}
	return tmp;
}
def code(x, y, z, t, a, b):
	t_1 = x + (y * 3.13060547623)
	tmp = 0
	if z <= -3.1e+71:
		tmp = t_1
	elif z <= -4.4e-5:
		tmp = x + ((a * (y * z)) / (0.607771387771 + (z * (11.9400905721 + (z * (31.4690115749 + (z * (z + 15.234687407))))))))
	elif z <= 3.7e+28:
		tmp = x + ((y * ((z * ((z * (t + (z * (11.1667541262 + (z * 3.13060547623))))) + a)) + b)) / (0.607771387771 + (z * 11.9400905721)))
	else:
		tmp = t_1
	return tmp
function code(x, y, z, t, a, b)
	t_1 = Float64(x + Float64(y * 3.13060547623))
	tmp = 0.0
	if (z <= -3.1e+71)
		tmp = t_1;
	elseif (z <= -4.4e-5)
		tmp = Float64(x + Float64(Float64(a * Float64(y * z)) / Float64(0.607771387771 + Float64(z * Float64(11.9400905721 + Float64(z * Float64(31.4690115749 + Float64(z * Float64(z + 15.234687407)))))))));
	elseif (z <= 3.7e+28)
		tmp = Float64(x + Float64(Float64(y * Float64(Float64(z * Float64(Float64(z * Float64(t + Float64(z * Float64(11.1667541262 + Float64(z * 3.13060547623))))) + a)) + b)) / Float64(0.607771387771 + Float64(z * 11.9400905721))));
	else
		tmp = t_1;
	end
	return tmp
end
function tmp_2 = code(x, y, z, t, a, b)
	t_1 = x + (y * 3.13060547623);
	tmp = 0.0;
	if (z <= -3.1e+71)
		tmp = t_1;
	elseif (z <= -4.4e-5)
		tmp = x + ((a * (y * z)) / (0.607771387771 + (z * (11.9400905721 + (z * (31.4690115749 + (z * (z + 15.234687407))))))));
	elseif (z <= 3.7e+28)
		tmp = x + ((y * ((z * ((z * (t + (z * (11.1667541262 + (z * 3.13060547623))))) + a)) + b)) / (0.607771387771 + (z * 11.9400905721)));
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end
code[x_, y_, z_, t_, a_, b_] := Block[{t$95$1 = N[(x + N[(y * 3.13060547623), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[z, -3.1e+71], t$95$1, If[LessEqual[z, -4.4e-5], N[(x + N[(N[(a * N[(y * z), $MachinePrecision]), $MachinePrecision] / N[(0.607771387771 + N[(z * N[(11.9400905721 + N[(z * N[(31.4690115749 + N[(z * N[(z + 15.234687407), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 3.7e+28], N[(x + N[(N[(y * N[(N[(z * N[(N[(z * N[(t + N[(z * N[(11.1667541262 + N[(z * 3.13060547623), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + a), $MachinePrecision]), $MachinePrecision] + b), $MachinePrecision]), $MachinePrecision] / N[(0.607771387771 + N[(z * 11.9400905721), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]
\begin{array}{l}

\\
\begin{array}{l}
t_1 := x + y \cdot 3.13060547623\\
\mathbf{if}\;z \leq -3.1 \cdot 10^{+71}:\\
\;\;\;\;t_1\\

\mathbf{elif}\;z \leq -4.4 \cdot 10^{-5}:\\
\;\;\;\;x + \frac{a \cdot \left(y \cdot z\right)}{0.607771387771 + z \cdot \left(11.9400905721 + z \cdot \left(31.4690115749 + z \cdot \left(z + 15.234687407\right)\right)\right)}\\

\mathbf{elif}\;z \leq 3.7 \cdot 10^{+28}:\\
\;\;\;\;x + \frac{y \cdot \left(z \cdot \left(z \cdot \left(t + z \cdot \left(11.1667541262 + z \cdot 3.13060547623\right)\right) + a\right) + b\right)}{0.607771387771 + z \cdot 11.9400905721}\\

\mathbf{else}:\\
\;\;\;\;t_1\\


\end{array}
\end{array}
Derivation
    &prev;&pcontext;&pcontext2;&ctx;
  1. Add Preprocessing

Alternative 5: 92.6% accurate, 1.3× speedup?

\[\begin{array}{l} \\ \begin{array}{l} t_1 := x + y \cdot 3.13060547623\\ \mathbf{if}\;z \leq -3.1 \cdot 10^{+71}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -4.4 \cdot 10^{-5}:\\ \;\;\;\;x + \frac{a \cdot \left(y \cdot z\right)}{0.607771387771 + z \cdot \left(11.9400905721 + z \cdot \left(31.4690115749 + z \cdot \left(z + 15.234687407\right)\right)\right)}\\ \mathbf{elif}\;z \leq 9.4 \cdot 10^{+27}:\\ \;\;\;\;x + \frac{y \cdot \left(b + z \cdot \left(a + z \cdot \left(t + z \cdot 11.1667541262\right)\right)\right)}{0.607771387771 + z \cdot 11.9400905721}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]
(FPCore (x y z t a b)
 :precision binary64
 (let* ((t_1 (+ x (* y 3.13060547623))))
   (if (<= z -3.1e+71)
     t_1
     (if (<= z -4.4e-5)
       (+
        x
        (/
         (* a (* y z))
         (+
          0.607771387771
          (*
           z
           (+
            11.9400905721
            (* z (+ 31.4690115749 (* z (+ z 15.234687407)))))))))
       (if (<= z 9.4e+27)
         (+
          x
          (/
           (* y (+ b (* z (+ a (* z (+ t (* z 11.1667541262)))))))
           (+ 0.607771387771 (* z 11.9400905721))))
         t_1)))))
double code(double x, double y, double z, double t, double a, double b) {
	double t_1 = x + (y * 3.13060547623);
	double tmp;
	if (z <= -3.1e+71) {
		tmp = t_1;
	} else if (z <= -4.4e-5) {
		tmp = x + ((a * (y * z)) / (0.607771387771 + (z * (11.9400905721 + (z * (31.4690115749 + (z * (z + 15.234687407))))))));
	} else if (z <= 9.4e+27) {
		tmp = x + ((y * (b + (z * (a + (z * (t + (z * 11.1667541262))))))) / (0.607771387771 + (z * 11.9400905721)));
	} else {
		tmp = t_1;
	}
	return tmp;
}
real(8) function code(x, y, z, t, a, b)
    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), intent (in) :: b
    real(8) :: t_1
    real(8) :: tmp
    t_1 = x + (y * 3.13060547623d0)
    if (z <= (-3.1d+71)) then
        tmp = t_1
    else if (z <= (-4.4d-5)) then
        tmp = x + ((a * (y * z)) / (0.607771387771d0 + (z * (11.9400905721d0 + (z * (31.4690115749d0 + (z * (z + 15.234687407d0))))))))
    else if (z <= 9.4d+27) then
        tmp = x + ((y * (b + (z * (a + (z * (t + (z * 11.1667541262d0))))))) / (0.607771387771d0 + (z * 11.9400905721d0)))
    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 b) {
	double t_1 = x + (y * 3.13060547623);
	double tmp;
	if (z <= -3.1e+71) {
		tmp = t_1;
	} else if (z <= -4.4e-5) {
		tmp = x + ((a * (y * z)) / (0.607771387771 + (z * (11.9400905721 + (z * (31.4690115749 + (z * (z + 15.234687407))))))));
	} else if (z <= 9.4e+27) {
		tmp = x + ((y * (b + (z * (a + (z * (t + (z * 11.1667541262))))))) / (0.607771387771 + (z * 11.9400905721)));
	} else {
		tmp = t_1;
	}
	return tmp;
}
def code(x, y, z, t, a, b):
	t_1 = x + (y * 3.13060547623)
	tmp = 0
	if z <= -3.1e+71:
		tmp = t_1
	elif z <= -4.4e-5:
		tmp = x + ((a * (y * z)) / (0.607771387771 + (z * (11.9400905721 + (z * (31.4690115749 + (z * (z + 15.234687407))))))))
	elif z <= 9.4e+27:
		tmp = x + ((y * (b + (z * (a + (z * (t + (z * 11.1667541262))))))) / (0.607771387771 + (z * 11.9400905721)))
	else:
		tmp = t_1
	return tmp
function code(x, y, z, t, a, b)
	t_1 = Float64(x + Float64(y * 3.13060547623))
	tmp = 0.0
	if (z <= -3.1e+71)
		tmp = t_1;
	elseif (z <= -4.4e-5)
		tmp = Float64(x + Float64(Float64(a * Float64(y * z)) / Float64(0.607771387771 + Float64(z * Float64(11.9400905721 + Float64(z * Float64(31.4690115749 + Float64(z * Float64(z + 15.234687407)))))))));
	elseif (z <= 9.4e+27)
		tmp = Float64(x + Float64(Float64(y * Float64(b + Float64(z * Float64(a + Float64(z * Float64(t + Float64(z * 11.1667541262))))))) / Float64(0.607771387771 + Float64(z * 11.9400905721))));
	else
		tmp = t_1;
	end
	return tmp
end
function tmp_2 = code(x, y, z, t, a, b)
	t_1 = x + (y * 3.13060547623);
	tmp = 0.0;
	if (z <= -3.1e+71)
		tmp = t_1;
	elseif (z <= -4.4e-5)
		tmp = x + ((a * (y * z)) / (0.607771387771 + (z * (11.9400905721 + (z * (31.4690115749 + (z * (z + 15.234687407))))))));
	elseif (z <= 9.4e+27)
		tmp = x + ((y * (b + (z * (a + (z * (t + (z * 11.1667541262))))))) / (0.607771387771 + (z * 11.9400905721)));
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end
code[x_, y_, z_, t_, a_, b_] := Block[{t$95$1 = N[(x + N[(y * 3.13060547623), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[z, -3.1e+71], t$95$1, If[LessEqual[z, -4.4e-5], N[(x + N[(N[(a * N[(y * z), $MachinePrecision]), $MachinePrecision] / N[(0.607771387771 + N[(z * N[(11.9400905721 + N[(z * N[(31.4690115749 + N[(z * N[(z + 15.234687407), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 9.4e+27], N[(x + N[(N[(y * N[(b + N[(z * N[(a + N[(z * N[(t + N[(z * 11.1667541262), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / N[(0.607771387771 + N[(z * 11.9400905721), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]
\begin{array}{l}

\\
\begin{array}{l}
t_1 := x + y \cdot 3.13060547623\\
\mathbf{if}\;z \leq -3.1 \cdot 10^{+71}:\\
\;\;\;\;t_1\\

\mathbf{elif}\;z \leq -4.4 \cdot 10^{-5}:\\
\;\;\;\;x + \frac{a \cdot \left(y \cdot z\right)}{0.607771387771 + z \cdot \left(11.9400905721 + z \cdot \left(31.4690115749 + z \cdot \left(z + 15.234687407\right)\right)\right)}\\

\mathbf{elif}\;z \leq 9.4 \cdot 10^{+27}:\\
\;\;\;\;x + \frac{y \cdot \left(b + z \cdot \left(a + z \cdot \left(t + z \cdot 11.1667541262\right)\right)\right)}{0.607771387771 + z \cdot 11.9400905721}\\

\mathbf{else}:\\
\;\;\;\;t_1\\


\end{array}
\end{array}
Derivation
    &prev;&pcontext;&pcontext2;&ctx;
  1. Add Preprocessing

Alternative 6: 88.1% accurate, 1.4× speedup?

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(y \cdot z\right)\\ \mathbf{if}\;z \leq -3.1 \cdot 10^{+71}:\\ \;\;\;\;x + y \cdot 3.13060547623\\ \mathbf{elif}\;z \leq -3.2 \cdot 10^{-26}:\\ \;\;\;\;x + \frac{t_1}{0.607771387771 + z \cdot \left(11.9400905721 + z \cdot \left(31.4690115749 + z \cdot \left(z + 15.234687407\right)\right)\right)}\\ \mathbf{elif}\;z \leq 30.5:\\ \;\;\;\;x + \left(1.6453555072203998 \cdot \left(y \cdot b\right) + t_1 \cdot 1.6453555072203998\right)\\ \mathbf{else}:\\ \;\;\;\;x + y \cdot \left(3.13060547623 + 36.52704169880642 \cdot \frac{-1}{z}\right)\\ \end{array} \end{array} \]
(FPCore (x y z t a b)
 :precision binary64
 (let* ((t_1 (* a (* y z))))
   (if (<= z -3.1e+71)
     (+ x (* y 3.13060547623))
     (if (<= z -3.2e-26)
       (+
        x
        (/
         t_1
         (+
          0.607771387771
          (*
           z
           (+
            11.9400905721
            (* z (+ 31.4690115749 (* z (+ z 15.234687407)))))))))
       (if (<= z 30.5)
         (+ x (+ (* 1.6453555072203998 (* y b)) (* t_1 1.6453555072203998)))
         (+ x (* y (+ 3.13060547623 (* 36.52704169880642 (/ -1.0 z))))))))))
double code(double x, double y, double z, double t, double a, double b) {
	double t_1 = a * (y * z);
	double tmp;
	if (z <= -3.1e+71) {
		tmp = x + (y * 3.13060547623);
	} else if (z <= -3.2e-26) {
		tmp = x + (t_1 / (0.607771387771 + (z * (11.9400905721 + (z * (31.4690115749 + (z * (z + 15.234687407))))))));
	} else if (z <= 30.5) {
		tmp = x + ((1.6453555072203998 * (y * b)) + (t_1 * 1.6453555072203998));
	} else {
		tmp = x + (y * (3.13060547623 + (36.52704169880642 * (-1.0 / z))));
	}
	return tmp;
}
real(8) function code(x, y, z, t, a, b)
    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), intent (in) :: b
    real(8) :: t_1
    real(8) :: tmp
    t_1 = a * (y * z)
    if (z <= (-3.1d+71)) then
        tmp = x + (y * 3.13060547623d0)
    else if (z <= (-3.2d-26)) then
        tmp = x + (t_1 / (0.607771387771d0 + (z * (11.9400905721d0 + (z * (31.4690115749d0 + (z * (z + 15.234687407d0))))))))
    else if (z <= 30.5d0) then
        tmp = x + ((1.6453555072203998d0 * (y * b)) + (t_1 * 1.6453555072203998d0))
    else
        tmp = x + (y * (3.13060547623d0 + (36.52704169880642d0 * ((-1.0d0) / z))))
    end if
    code = tmp
end function
public static double code(double x, double y, double z, double t, double a, double b) {
	double t_1 = a * (y * z);
	double tmp;
	if (z <= -3.1e+71) {
		tmp = x + (y * 3.13060547623);
	} else if (z <= -3.2e-26) {
		tmp = x + (t_1 / (0.607771387771 + (z * (11.9400905721 + (z * (31.4690115749 + (z * (z + 15.234687407))))))));
	} else if (z <= 30.5) {
		tmp = x + ((1.6453555072203998 * (y * b)) + (t_1 * 1.6453555072203998));
	} else {
		tmp = x + (y * (3.13060547623 + (36.52704169880642 * (-1.0 / z))));
	}
	return tmp;
}
def code(x, y, z, t, a, b):
	t_1 = a * (y * z)
	tmp = 0
	if z <= -3.1e+71:
		tmp = x + (y * 3.13060547623)
	elif z <= -3.2e-26:
		tmp = x + (t_1 / (0.607771387771 + (z * (11.9400905721 + (z * (31.4690115749 + (z * (z + 15.234687407))))))))
	elif z <= 30.5:
		tmp = x + ((1.6453555072203998 * (y * b)) + (t_1 * 1.6453555072203998))
	else:
		tmp = x + (y * (3.13060547623 + (36.52704169880642 * (-1.0 / z))))
	return tmp
function code(x, y, z, t, a, b)
	t_1 = Float64(a * Float64(y * z))
	tmp = 0.0
	if (z <= -3.1e+71)
		tmp = Float64(x + Float64(y * 3.13060547623));
	elseif (z <= -3.2e-26)
		tmp = Float64(x + Float64(t_1 / Float64(0.607771387771 + Float64(z * Float64(11.9400905721 + Float64(z * Float64(31.4690115749 + Float64(z * Float64(z + 15.234687407)))))))));
	elseif (z <= 30.5)
		tmp = Float64(x + Float64(Float64(1.6453555072203998 * Float64(y * b)) + Float64(t_1 * 1.6453555072203998)));
	else
		tmp = Float64(x + Float64(y * Float64(3.13060547623 + Float64(36.52704169880642 * Float64(-1.0 / z)))));
	end
	return tmp
end
function tmp_2 = code(x, y, z, t, a, b)
	t_1 = a * (y * z);
	tmp = 0.0;
	if (z <= -3.1e+71)
		tmp = x + (y * 3.13060547623);
	elseif (z <= -3.2e-26)
		tmp = x + (t_1 / (0.607771387771 + (z * (11.9400905721 + (z * (31.4690115749 + (z * (z + 15.234687407))))))));
	elseif (z <= 30.5)
		tmp = x + ((1.6453555072203998 * (y * b)) + (t_1 * 1.6453555072203998));
	else
		tmp = x + (y * (3.13060547623 + (36.52704169880642 * (-1.0 / z))));
	end
	tmp_2 = tmp;
end
code[x_, y_, z_, t_, a_, b_] := Block[{t$95$1 = N[(a * N[(y * z), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[z, -3.1e+71], N[(x + N[(y * 3.13060547623), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, -3.2e-26], N[(x + N[(t$95$1 / N[(0.607771387771 + N[(z * N[(11.9400905721 + N[(z * N[(31.4690115749 + N[(z * N[(z + 15.234687407), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 30.5], N[(x + N[(N[(1.6453555072203998 * N[(y * b), $MachinePrecision]), $MachinePrecision] + N[(t$95$1 * 1.6453555072203998), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(x + N[(y * N[(3.13060547623 + N[(36.52704169880642 * N[(-1.0 / z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]
\begin{array}{l}

\\
\begin{array}{l}
t_1 := a \cdot \left(y \cdot z\right)\\
\mathbf{if}\;z \leq -3.1 \cdot 10^{+71}:\\
\;\;\;\;x + y \cdot 3.13060547623\\

\mathbf{elif}\;z \leq -3.2 \cdot 10^{-26}:\\
\;\;\;\;x + \frac{t_1}{0.607771387771 + z \cdot \left(11.9400905721 + z \cdot \left(31.4690115749 + z \cdot \left(z + 15.234687407\right)\right)\right)}\\

\mathbf{elif}\;z \leq 30.5:\\
\;\;\;\;x + \left(1.6453555072203998 \cdot \left(y \cdot b\right) + t_1 \cdot 1.6453555072203998\right)\\

\mathbf{else}:\\
\;\;\;\;x + y \cdot \left(3.13060547623 + 36.52704169880642 \cdot \frac{-1}{z}\right)\\


\end{array}
\end{array}
Derivation
    &prev;&pcontext;&pcontext2;&ctx;
  1. Add Preprocessing

Alternative 7: 88.4% accurate, 1.9× speedup?

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;z \leq -4 \cdot 10^{+46}:\\ \;\;\;\;x + y \cdot 3.13060547623\\ \mathbf{elif}\;z \leq 30.5:\\ \;\;\;\;x + \left(1.6453555072203998 \cdot \left(y \cdot b\right) + \left(a \cdot \left(y \cdot z\right)\right) \cdot 1.6453555072203998\right)\\ \mathbf{else}:\\ \;\;\;\;x + y \cdot \left(3.13060547623 + 36.52704169880642 \cdot \frac{-1}{z}\right)\\ \end{array} \end{array} \]
(FPCore (x y z t a b)
 :precision binary64
 (if (<= z -4e+46)
   (+ x (* y 3.13060547623))
   (if (<= z 30.5)
     (+
      x
      (+ (* 1.6453555072203998 (* y b)) (* (* a (* y z)) 1.6453555072203998)))
     (+ x (* y (+ 3.13060547623 (* 36.52704169880642 (/ -1.0 z))))))))
double code(double x, double y, double z, double t, double a, double b) {
	double tmp;
	if (z <= -4e+46) {
		tmp = x + (y * 3.13060547623);
	} else if (z <= 30.5) {
		tmp = x + ((1.6453555072203998 * (y * b)) + ((a * (y * z)) * 1.6453555072203998));
	} else {
		tmp = x + (y * (3.13060547623 + (36.52704169880642 * (-1.0 / z))));
	}
	return tmp;
}
real(8) function code(x, y, z, t, a, b)
    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), intent (in) :: b
    real(8) :: tmp
    if (z <= (-4d+46)) then
        tmp = x + (y * 3.13060547623d0)
    else if (z <= 30.5d0) then
        tmp = x + ((1.6453555072203998d0 * (y * b)) + ((a * (y * z)) * 1.6453555072203998d0))
    else
        tmp = x + (y * (3.13060547623d0 + (36.52704169880642d0 * ((-1.0d0) / z))))
    end if
    code = tmp
end function
public static double code(double x, double y, double z, double t, double a, double b) {
	double tmp;
	if (z <= -4e+46) {
		tmp = x + (y * 3.13060547623);
	} else if (z <= 30.5) {
		tmp = x + ((1.6453555072203998 * (y * b)) + ((a * (y * z)) * 1.6453555072203998));
	} else {
		tmp = x + (y * (3.13060547623 + (36.52704169880642 * (-1.0 / z))));
	}
	return tmp;
}
def code(x, y, z, t, a, b):
	tmp = 0
	if z <= -4e+46:
		tmp = x + (y * 3.13060547623)
	elif z <= 30.5:
		tmp = x + ((1.6453555072203998 * (y * b)) + ((a * (y * z)) * 1.6453555072203998))
	else:
		tmp = x + (y * (3.13060547623 + (36.52704169880642 * (-1.0 / z))))
	return tmp
function code(x, y, z, t, a, b)
	tmp = 0.0
	if (z <= -4e+46)
		tmp = Float64(x + Float64(y * 3.13060547623));
	elseif (z <= 30.5)
		tmp = Float64(x + Float64(Float64(1.6453555072203998 * Float64(y * b)) + Float64(Float64(a * Float64(y * z)) * 1.6453555072203998)));
	else
		tmp = Float64(x + Float64(y * Float64(3.13060547623 + Float64(36.52704169880642 * Float64(-1.0 / z)))));
	end
	return tmp
end
function tmp_2 = code(x, y, z, t, a, b)
	tmp = 0.0;
	if (z <= -4e+46)
		tmp = x + (y * 3.13060547623);
	elseif (z <= 30.5)
		tmp = x + ((1.6453555072203998 * (y * b)) + ((a * (y * z)) * 1.6453555072203998));
	else
		tmp = x + (y * (3.13060547623 + (36.52704169880642 * (-1.0 / z))));
	end
	tmp_2 = tmp;
end
code[x_, y_, z_, t_, a_, b_] := If[LessEqual[z, -4e+46], N[(x + N[(y * 3.13060547623), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 30.5], N[(x + N[(N[(1.6453555072203998 * N[(y * b), $MachinePrecision]), $MachinePrecision] + N[(N[(a * N[(y * z), $MachinePrecision]), $MachinePrecision] * 1.6453555072203998), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(x + N[(y * N[(3.13060547623 + N[(36.52704169880642 * N[(-1.0 / z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]
\begin{array}{l}

\\
\begin{array}{l}
\mathbf{if}\;z \leq -4 \cdot 10^{+46}:\\
\;\;\;\;x + y \cdot 3.13060547623\\

\mathbf{elif}\;z \leq 30.5:\\
\;\;\;\;x + \left(1.6453555072203998 \cdot \left(y \cdot b\right) + \left(a \cdot \left(y \cdot z\right)\right) \cdot 1.6453555072203998\right)\\

\mathbf{else}:\\
\;\;\;\;x + y \cdot \left(3.13060547623 + 36.52704169880642 \cdot \frac{-1}{z}\right)\\


\end{array}
\end{array}
Derivation
    &prev;&pcontext;&pcontext2;&ctx;
  1. Add Preprocessing

Alternative 8: 82.6% accurate, 2.4× speedup?

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;z \leq -5 \cdot 10^{+56}:\\ \;\;\;\;x + y \cdot 3.13060547623\\ \mathbf{elif}\;z \leq 28.5:\\ \;\;\;\;x + 1.6453555072203998 \cdot \left(y \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;x + y \cdot \left(3.13060547623 + 36.52704169880642 \cdot \frac{-1}{z}\right)\\ \end{array} \end{array} \]
(FPCore (x y z t a b)
 :precision binary64
 (if (<= z -5e+56)
   (+ x (* y 3.13060547623))
   (if (<= z 28.5)
     (+ x (* 1.6453555072203998 (* y b)))
     (+ x (* y (+ 3.13060547623 (* 36.52704169880642 (/ -1.0 z))))))))
double code(double x, double y, double z, double t, double a, double b) {
	double tmp;
	if (z <= -5e+56) {
		tmp = x + (y * 3.13060547623);
	} else if (z <= 28.5) {
		tmp = x + (1.6453555072203998 * (y * b));
	} else {
		tmp = x + (y * (3.13060547623 + (36.52704169880642 * (-1.0 / z))));
	}
	return tmp;
}
real(8) function code(x, y, z, t, a, b)
    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), intent (in) :: b
    real(8) :: tmp
    if (z <= (-5d+56)) then
        tmp = x + (y * 3.13060547623d0)
    else if (z <= 28.5d0) then
        tmp = x + (1.6453555072203998d0 * (y * b))
    else
        tmp = x + (y * (3.13060547623d0 + (36.52704169880642d0 * ((-1.0d0) / z))))
    end if
    code = tmp
end function
public static double code(double x, double y, double z, double t, double a, double b) {
	double tmp;
	if (z <= -5e+56) {
		tmp = x + (y * 3.13060547623);
	} else if (z <= 28.5) {
		tmp = x + (1.6453555072203998 * (y * b));
	} else {
		tmp = x + (y * (3.13060547623 + (36.52704169880642 * (-1.0 / z))));
	}
	return tmp;
}
def code(x, y, z, t, a, b):
	tmp = 0
	if z <= -5e+56:
		tmp = x + (y * 3.13060547623)
	elif z <= 28.5:
		tmp = x + (1.6453555072203998 * (y * b))
	else:
		tmp = x + (y * (3.13060547623 + (36.52704169880642 * (-1.0 / z))))
	return tmp
function code(x, y, z, t, a, b)
	tmp = 0.0
	if (z <= -5e+56)
		tmp = Float64(x + Float64(y * 3.13060547623));
	elseif (z <= 28.5)
		tmp = Float64(x + Float64(1.6453555072203998 * Float64(y * b)));
	else
		tmp = Float64(x + Float64(y * Float64(3.13060547623 + Float64(36.52704169880642 * Float64(-1.0 / z)))));
	end
	return tmp
end
function tmp_2 = code(x, y, z, t, a, b)
	tmp = 0.0;
	if (z <= -5e+56)
		tmp = x + (y * 3.13060547623);
	elseif (z <= 28.5)
		tmp = x + (1.6453555072203998 * (y * b));
	else
		tmp = x + (y * (3.13060547623 + (36.52704169880642 * (-1.0 / z))));
	end
	tmp_2 = tmp;
end
code[x_, y_, z_, t_, a_, b_] := If[LessEqual[z, -5e+56], N[(x + N[(y * 3.13060547623), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 28.5], N[(x + N[(1.6453555072203998 * N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(x + N[(y * N[(3.13060547623 + N[(36.52704169880642 * N[(-1.0 / z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]
\begin{array}{l}

\\
\begin{array}{l}
\mathbf{if}\;z \leq -5 \cdot 10^{+56}:\\
\;\;\;\;x + y \cdot 3.13060547623\\

\mathbf{elif}\;z \leq 28.5:\\
\;\;\;\;x + 1.6453555072203998 \cdot \left(y \cdot b\right)\\

\mathbf{else}:\\
\;\;\;\;x + y \cdot \left(3.13060547623 + 36.52704169880642 \cdot \frac{-1}{z}\right)\\


\end{array}
\end{array}
Derivation
    &prev;&pcontext;&pcontext2;&ctx;
  1. Add Preprocessing

Alternative 9: 82.6% accurate, 3.3× speedup?

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;z \leq -5 \cdot 10^{+56} \lor \neg \left(z \leq 0.098\right):\\ \;\;\;\;x + y \cdot 3.13060547623\\ \mathbf{else}:\\ \;\;\;\;x + b \cdot \left(y \cdot 1.6453555072203998\right)\\ \end{array} \end{array} \]
(FPCore (x y z t a b)
 :precision binary64
 (if (or (<= z -5e+56) (not (<= z 0.098)))
   (+ x (* y 3.13060547623))
   (+ x (* b (* y 1.6453555072203998)))))
double code(double x, double y, double z, double t, double a, double b) {
	double tmp;
	if ((z <= -5e+56) || !(z <= 0.098)) {
		tmp = x + (y * 3.13060547623);
	} else {
		tmp = x + (b * (y * 1.6453555072203998));
	}
	return tmp;
}
real(8) function code(x, y, z, t, a, b)
    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), intent (in) :: b
    real(8) :: tmp
    if ((z <= (-5d+56)) .or. (.not. (z <= 0.098d0))) then
        tmp = x + (y * 3.13060547623d0)
    else
        tmp = x + (b * (y * 1.6453555072203998d0))
    end if
    code = tmp
end function
public static double code(double x, double y, double z, double t, double a, double b) {
	double tmp;
	if ((z <= -5e+56) || !(z <= 0.098)) {
		tmp = x + (y * 3.13060547623);
	} else {
		tmp = x + (b * (y * 1.6453555072203998));
	}
	return tmp;
}
def code(x, y, z, t, a, b):
	tmp = 0
	if (z <= -5e+56) or not (z <= 0.098):
		tmp = x + (y * 3.13060547623)
	else:
		tmp = x + (b * (y * 1.6453555072203998))
	return tmp
function code(x, y, z, t, a, b)
	tmp = 0.0
	if ((z <= -5e+56) || !(z <= 0.098))
		tmp = Float64(x + Float64(y * 3.13060547623));
	else
		tmp = Float64(x + Float64(b * Float64(y * 1.6453555072203998)));
	end
	return tmp
end
function tmp_2 = code(x, y, z, t, a, b)
	tmp = 0.0;
	if ((z <= -5e+56) || ~((z <= 0.098)))
		tmp = x + (y * 3.13060547623);
	else
		tmp = x + (b * (y * 1.6453555072203998));
	end
	tmp_2 = tmp;
end
code[x_, y_, z_, t_, a_, b_] := If[Or[LessEqual[z, -5e+56], N[Not[LessEqual[z, 0.098]], $MachinePrecision]], N[(x + N[(y * 3.13060547623), $MachinePrecision]), $MachinePrecision], N[(x + N[(b * N[(y * 1.6453555072203998), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]
\begin{array}{l}

\\
\begin{array}{l}
\mathbf{if}\;z \leq -5 \cdot 10^{+56} \lor \neg \left(z \leq 0.098\right):\\
\;\;\;\;x + y \cdot 3.13060547623\\

\mathbf{else}:\\
\;\;\;\;x + b \cdot \left(y \cdot 1.6453555072203998\right)\\


\end{array}
\end{array}
Derivation
    &prev;&pcontext;&pcontext2;&ctx;
  1. Add Preprocessing

Alternative 10: 82.6% accurate, 3.3× speedup?

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;z \leq -5 \cdot 10^{+56} \lor \neg \left(z \leq 0.0003\right):\\ \;\;\;\;x + y \cdot 3.13060547623\\ \mathbf{else}:\\ \;\;\;\;x + 1.6453555072203998 \cdot \left(y \cdot b\right)\\ \end{array} \end{array} \]
(FPCore (x y z t a b)
 :precision binary64
 (if (or (<= z -5e+56) (not (<= z 0.0003)))
   (+ x (* y 3.13060547623))
   (+ x (* 1.6453555072203998 (* y b)))))
double code(double x, double y, double z, double t, double a, double b) {
	double tmp;
	if ((z <= -5e+56) || !(z <= 0.0003)) {
		tmp = x + (y * 3.13060547623);
	} else {
		tmp = x + (1.6453555072203998 * (y * b));
	}
	return tmp;
}
real(8) function code(x, y, z, t, a, b)
    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), intent (in) :: b
    real(8) :: tmp
    if ((z <= (-5d+56)) .or. (.not. (z <= 0.0003d0))) then
        tmp = x + (y * 3.13060547623d0)
    else
        tmp = x + (1.6453555072203998d0 * (y * b))
    end if
    code = tmp
end function
public static double code(double x, double y, double z, double t, double a, double b) {
	double tmp;
	if ((z <= -5e+56) || !(z <= 0.0003)) {
		tmp = x + (y * 3.13060547623);
	} else {
		tmp = x + (1.6453555072203998 * (y * b));
	}
	return tmp;
}
def code(x, y, z, t, a, b):
	tmp = 0
	if (z <= -5e+56) or not (z <= 0.0003):
		tmp = x + (y * 3.13060547623)
	else:
		tmp = x + (1.6453555072203998 * (y * b))
	return tmp
function code(x, y, z, t, a, b)
	tmp = 0.0
	if ((z <= -5e+56) || !(z <= 0.0003))
		tmp = Float64(x + Float64(y * 3.13060547623));
	else
		tmp = Float64(x + Float64(1.6453555072203998 * Float64(y * b)));
	end
	return tmp
end
function tmp_2 = code(x, y, z, t, a, b)
	tmp = 0.0;
	if ((z <= -5e+56) || ~((z <= 0.0003)))
		tmp = x + (y * 3.13060547623);
	else
		tmp = x + (1.6453555072203998 * (y * b));
	end
	tmp_2 = tmp;
end
code[x_, y_, z_, t_, a_, b_] := If[Or[LessEqual[z, -5e+56], N[Not[LessEqual[z, 0.0003]], $MachinePrecision]], N[(x + N[(y * 3.13060547623), $MachinePrecision]), $MachinePrecision], N[(x + N[(1.6453555072203998 * N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]
\begin{array}{l}

\\
\begin{array}{l}
\mathbf{if}\;z \leq -5 \cdot 10^{+56} \lor \neg \left(z \leq 0.0003\right):\\
\;\;\;\;x + y \cdot 3.13060547623\\

\mathbf{else}:\\
\;\;\;\;x + 1.6453555072203998 \cdot \left(y \cdot b\right)\\


\end{array}
\end{array}
Derivation
    &prev;&pcontext;&pcontext2;&ctx;
  1. Add Preprocessing

Alternative 11: 62.9% accurate, 7.4× speedup?

\[\begin{array}{l} \\ x + y \cdot 3.13060547623 \end{array} \]
(FPCore (x y z t a b) :precision binary64 (+ x (* y 3.13060547623)))
double code(double x, double y, double z, double t, double a, double b) {
	return x + (y * 3.13060547623);
}
real(8) function code(x, y, z, t, a, b)
    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), intent (in) :: b
    code = x + (y * 3.13060547623d0)
end function
public static double code(double x, double y, double z, double t, double a, double b) {
	return x + (y * 3.13060547623);
}
def code(x, y, z, t, a, b):
	return x + (y * 3.13060547623)
function code(x, y, z, t, a, b)
	return Float64(x + Float64(y * 3.13060547623))
end
function tmp = code(x, y, z, t, a, b)
	tmp = x + (y * 3.13060547623);
end
code[x_, y_, z_, t_, a_, b_] := N[(x + N[(y * 3.13060547623), $MachinePrecision]), $MachinePrecision]
\begin{array}{l}

\\
x + y \cdot 3.13060547623
\end{array}
Derivation
    &prev;&pcontext;&pcontext2;&ctx;
  1. Add Preprocessing

Alternative 12: 45.6% accurate, 37.0× speedup?

\[\begin{array}{l} \\ x \end{array} \]
(FPCore (x y z t a b) :precision binary64 x)
double code(double x, double y, double z, double t, double a, double b) {
	return x;
}
real(8) function code(x, y, z, t, a, b)
    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), intent (in) :: b
    code = x
end function
public static double code(double x, double y, double z, double t, double a, double b) {
	return x;
}
def code(x, y, z, t, a, b):
	return x
function code(x, y, z, t, a, b)
	return x
end
function tmp = code(x, y, z, t, a, b)
	tmp = x;
end
code[x_, y_, z_, t_, a_, b_] := x
\begin{array}{l}

\\
x
\end{array}
Derivation
    &prev;&pcontext;&pcontext2;&ctx;
  1. Add Preprocessing

Developer target: 98.5% accurate, 0.9× speedup?

\[\begin{array}{l} \\ \begin{array}{l} t_1 := x + \left(\left(3.13060547623 - \frac{36.527041698806414}{z}\right) + \frac{t}{z \cdot z}\right) \cdot \frac{y}{1}\\ \mathbf{if}\;z < -6.499344996252632 \cdot 10^{+53}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z < 7.066965436914287 \cdot 10^{+59}:\\ \;\;\;\;x + \frac{y}{\frac{\left(\left(\left(z + 15.234687407\right) \cdot z + 31.4690115749\right) \cdot z + 11.9400905721\right) \cdot z + 0.607771387771}{\left(\left(\left(z \cdot 3.13060547623 + 11.1667541262\right) \cdot z + t\right) \cdot z + a\right) \cdot z + b}}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]
(FPCore (x y z t a b)
 :precision binary64
 (let* ((t_1
         (+
          x
          (*
           (+ (- 3.13060547623 (/ 36.527041698806414 z)) (/ t (* z z)))
           (/ y 1.0)))))
   (if (< z -6.499344996252632e+53)
     t_1
     (if (< z 7.066965436914287e+59)
       (+
        x
        (/
         y
         (/
          (+
           (*
            (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721)
            z)
           0.607771387771)
          (+
           (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
           b))))
       t_1))))
double code(double x, double y, double z, double t, double a, double b) {
	double t_1 = x + (((3.13060547623 - (36.527041698806414 / z)) + (t / (z * z))) * (y / 1.0));
	double tmp;
	if (z < -6.499344996252632e+53) {
		tmp = t_1;
	} else if (z < 7.066965436914287e+59) {
		tmp = x + (y / ((((((((z + 15.234687407) * z) + 31.4690115749) * z) + 11.9400905721) * z) + 0.607771387771) / ((((((((z * 3.13060547623) + 11.1667541262) * z) + t) * z) + a) * z) + b)));
	} else {
		tmp = t_1;
	}
	return tmp;
}
real(8) function code(x, y, z, t, a, b)
    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), intent (in) :: b
    real(8) :: t_1
    real(8) :: tmp
    t_1 = x + (((3.13060547623d0 - (36.527041698806414d0 / z)) + (t / (z * z))) * (y / 1.0d0))
    if (z < (-6.499344996252632d+53)) then
        tmp = t_1
    else if (z < 7.066965436914287d+59) then
        tmp = x + (y / ((((((((z + 15.234687407d0) * z) + 31.4690115749d0) * z) + 11.9400905721d0) * z) + 0.607771387771d0) / ((((((((z * 3.13060547623d0) + 11.1667541262d0) * z) + t) * z) + a) * z) + b)))
    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 b) {
	double t_1 = x + (((3.13060547623 - (36.527041698806414 / z)) + (t / (z * z))) * (y / 1.0));
	double tmp;
	if (z < -6.499344996252632e+53) {
		tmp = t_1;
	} else if (z < 7.066965436914287e+59) {
		tmp = x + (y / ((((((((z + 15.234687407) * z) + 31.4690115749) * z) + 11.9400905721) * z) + 0.607771387771) / ((((((((z * 3.13060547623) + 11.1667541262) * z) + t) * z) + a) * z) + b)));
	} else {
		tmp = t_1;
	}
	return tmp;
}
def code(x, y, z, t, a, b):
	t_1 = x + (((3.13060547623 - (36.527041698806414 / z)) + (t / (z * z))) * (y / 1.0))
	tmp = 0
	if z < -6.499344996252632e+53:
		tmp = t_1
	elif z < 7.066965436914287e+59:
		tmp = x + (y / ((((((((z + 15.234687407) * z) + 31.4690115749) * z) + 11.9400905721) * z) + 0.607771387771) / ((((((((z * 3.13060547623) + 11.1667541262) * z) + t) * z) + a) * z) + b)))
	else:
		tmp = t_1
	return tmp
function code(x, y, z, t, a, b)
	t_1 = Float64(x + Float64(Float64(Float64(3.13060547623 - Float64(36.527041698806414 / z)) + Float64(t / Float64(z * z))) * Float64(y / 1.0)))
	tmp = 0.0
	if (z < -6.499344996252632e+53)
		tmp = t_1;
	elseif (z < 7.066965436914287e+59)
		tmp = Float64(x + Float64(y / Float64(Float64(Float64(Float64(Float64(Float64(Float64(Float64(z + 15.234687407) * z) + 31.4690115749) * z) + 11.9400905721) * z) + 0.607771387771) / Float64(Float64(Float64(Float64(Float64(Float64(Float64(Float64(z * 3.13060547623) + 11.1667541262) * z) + t) * z) + a) * z) + b))));
	else
		tmp = t_1;
	end
	return tmp
end
function tmp_2 = code(x, y, z, t, a, b)
	t_1 = x + (((3.13060547623 - (36.527041698806414 / z)) + (t / (z * z))) * (y / 1.0));
	tmp = 0.0;
	if (z < -6.499344996252632e+53)
		tmp = t_1;
	elseif (z < 7.066965436914287e+59)
		tmp = x + (y / ((((((((z + 15.234687407) * z) + 31.4690115749) * z) + 11.9400905721) * z) + 0.607771387771) / ((((((((z * 3.13060547623) + 11.1667541262) * z) + t) * z) + a) * z) + b)));
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end
code[x_, y_, z_, t_, a_, b_] := Block[{t$95$1 = N[(x + N[(N[(N[(3.13060547623 - N[(36.527041698806414 / z), $MachinePrecision]), $MachinePrecision] + N[(t / N[(z * z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] * N[(y / 1.0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[Less[z, -6.499344996252632e+53], t$95$1, If[Less[z, 7.066965436914287e+59], N[(x + N[(y / N[(N[(N[(N[(N[(N[(N[(N[(z + 15.234687407), $MachinePrecision] * z), $MachinePrecision] + 31.4690115749), $MachinePrecision] * z), $MachinePrecision] + 11.9400905721), $MachinePrecision] * z), $MachinePrecision] + 0.607771387771), $MachinePrecision] / N[(N[(N[(N[(N[(N[(N[(N[(z * 3.13060547623), $MachinePrecision] + 11.1667541262), $MachinePrecision] * z), $MachinePrecision] + t), $MachinePrecision] * z), $MachinePrecision] + a), $MachinePrecision] * z), $MachinePrecision] + b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]
\begin{array}{l}

\\
\begin{array}{l}
t_1 := x + \left(\left(3.13060547623 - \frac{36.527041698806414}{z}\right) + \frac{t}{z \cdot z}\right) \cdot \frac{y}{1}\\
\mathbf{if}\;z < -6.499344996252632 \cdot 10^{+53}:\\
\;\;\;\;t_1\\

\mathbf{elif}\;z < 7.066965436914287 \cdot 10^{+59}:\\
\;\;\;\;x + \frac{y}{\frac{\left(\left(\left(z + 15.234687407\right) \cdot z + 31.4690115749\right) \cdot z + 11.9400905721\right) \cdot z + 0.607771387771}{\left(\left(\left(z \cdot 3.13060547623 + 11.1667541262\right) \cdot z + t\right) \cdot z + a\right) \cdot z + b}}\\

\mathbf{else}:\\
\;\;\;\;t_1\\


\end{array}
\end{array}

Reproduce

?
herbie shell --seed 2023343 
(FPCore (x y z t a b)
  :name "Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2, D"
  :precision binary64

  :herbie-target
  (if (< z -6.499344996252632e+53) (+ x (* (+ (- 3.13060547623 (/ 36.527041698806414 z)) (/ t (* z z))) (/ y 1.0))) (if (< z 7.066965436914287e+59) (+ x (/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))) (+ x (* (+ (- 3.13060547623 (/ 36.527041698806414 z)) (/ t (* z z))) (/ y 1.0)))))

  (+ x (/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))))