Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2

Average Accuracy: 54.3% → 84.3%

Time: 45.8s

Precision: binary64

Cost: 7368

Math

\[\frac{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.7644705\right) \cdot y + 230661.510616\right) \cdot y + t}{\left(\left(\left(y + a\right) \cdot y + b\right) \cdot y + c\right) \cdot y + i} \]

↓

\[\begin{array}{l} t_1 := \frac{z}{y} + \left(x - \frac{a}{\frac{y}{x}}\right)\\ \mathbf{if}\;y \leq -2.8 \cdot 10^{+129}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -4.3 \cdot 10^{+28}:\\ \;\;\;\;\frac{y \cdot y}{\frac{\mathsf{fma}\left(y, y + a, b\right)}{x}}\\ \mathbf{elif}\;y \leq 6.1 \cdot 10^{+60}:\\ \;\;\;\;\frac{y \cdot \left(y \cdot \left(y \cdot \left(z + y \cdot x\right) + 27464.7644705\right) + 230661.510616\right) + t}{y \cdot \left(y \cdot \left(b + y \cdot \left(y + a\right)\right) + c\right) + i}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

FPCore

(FPCore (x y z t a b c i)
 :precision binary64
 (/
  (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)
  (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

↓

(FPCore (x y z t a b c i)
 :precision binary64
 (let* ((t_1 (+ (/ z y) (- x (/ a (/ y x))))))
   (if (<= y -2.8e+129)
     t_1
     (if (<= y -4.3e+28)
       (/ (* y y) (/ (fma y (+ y a) b) x))
       (if (<= y 6.1e+60)
         (/
          (+
           (* y (+ (* y (+ (* y (+ z (* y x))) 27464.7644705)) 230661.510616))
           t)
          (+ (* y (+ (* y (+ b (* y (+ y a)))) c)) i))
         t_1)))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i) {
	return ((((((((x * y) + z) * y) + 27464.7644705) * y) + 230661.510616) * y) + t) / (((((((y + a) * y) + b) * y) + c) * y) + i);
}

↓

double code(double x, double y, double z, double t, double a, double b, double c, double i) {
	double t_1 = (z / y) + (x - (a / (y / x)));
	double tmp;
	if (y <= -2.8e+129) {
		tmp = t_1;
	} else if (y <= -4.3e+28) {
		tmp = (y * y) / (fma(y, (y + a), b) / x);
	} else if (y <= 6.1e+60) {
		tmp = ((y * ((y * ((y * (z + (y * x))) + 27464.7644705)) + 230661.510616)) + t) / ((y * ((y * (b + (y * (y + a)))) + c)) + i);
	} else {
		tmp = t_1;
	}
	return tmp;
}

Julia

function code(x, y, z, t, a, b, c, i)
	return Float64(Float64(Float64(Float64(Float64(Float64(Float64(Float64(Float64(x * y) + z) * y) + 27464.7644705) * y) + 230661.510616) * y) + t) / Float64(Float64(Float64(Float64(Float64(Float64(Float64(y + a) * y) + b) * y) + c) * y) + i))
end

↓

function code(x, y, z, t, a, b, c, i)
	t_1 = Float64(Float64(z / y) + Float64(x - Float64(a / Float64(y / x))))
	tmp = 0.0
	if (y <= -2.8e+129)
		tmp = t_1;
	elseif (y <= -4.3e+28)
		tmp = Float64(Float64(y * y) / Float64(fma(y, Float64(y + a), b) / x));
	elseif (y <= 6.1e+60)
		tmp = Float64(Float64(Float64(y * Float64(Float64(y * Float64(Float64(y * Float64(z + Float64(y * x))) + 27464.7644705)) + 230661.510616)) + t) / Float64(Float64(y * Float64(Float64(y * Float64(b + Float64(y * Float64(y + a)))) + c)) + i));
	else
		tmp = t_1;
	end
	return tmp
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_] := N[(N[(N[(N[(N[(N[(N[(N[(N[(x * y), $MachinePrecision] + z), $MachinePrecision] * y), $MachinePrecision] + 27464.7644705), $MachinePrecision] * y), $MachinePrecision] + 230661.510616), $MachinePrecision] * y), $MachinePrecision] + t), $MachinePrecision] / N[(N[(N[(N[(N[(N[(N[(y + a), $MachinePrecision] * y), $MachinePrecision] + b), $MachinePrecision] * y), $MachinePrecision] + c), $MachinePrecision] * y), $MachinePrecision] + i), $MachinePrecision]), $MachinePrecision]

↓

code[x_, y_, z_, t_, a_, b_, c_, i_] := Block[{t$95$1 = N[(N[(z / y), $MachinePrecision] + N[(x - N[(a / N[(y / x), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y, -2.8e+129], t$95$1, If[LessEqual[y, -4.3e+28], N[(N[(y * y), $MachinePrecision] / N[(N[(y * N[(y + a), $MachinePrecision] + b), $MachinePrecision] / x), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 6.1e+60], N[(N[(N[(y * N[(N[(y * N[(N[(y * N[(z + N[(y * x), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + 27464.7644705), $MachinePrecision]), $MachinePrecision] + 230661.510616), $MachinePrecision]), $MachinePrecision] + t), $MachinePrecision] / N[(N[(y * N[(N[(y * N[(b + N[(y * N[(y + a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + c), $MachinePrecision]), $MachinePrecision] + i), $MachinePrecision]), $MachinePrecision], t$95$1]]]]

Derivation

1. Split input into 3 regimes

2. if y < -2.79999999999999975e129 or 6.0999999999999999e60 < y

   1. Initial program 1.0%

      \[\frac{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.7644705\right) \cdot y + 230661.510616\right) \cdot y + t}{\left(\left(\left(y + a\right) \cdot y + b\right) \cdot y + c\right) \cdot y + i} \]

   2. Taylor expanded in y around inf 72.1%

      \[\leadsto \color{blue}{\left(\frac{z}{y} + x\right) - \frac{a \cdot x}{y}} \]

   3. Simplified 77.6%

      \[\leadsto \color{blue}{\frac{z}{y} + \left(x - \frac{a}{\frac{y}{x}}\right)} \]
      Proof

      [Start] 72.1	\[ \left(\frac{z}{y} + x\right) - \frac{a \cdot x}{y} \]
      associate--l+ [=>] 72.1	\[ \color{blue}{\frac{z}{y} + \left(x - \frac{a \cdot x}{y}\right)} \]
      associate-/l* [=>] 77.6	\[ \frac{z}{y} + \left(x - \color{blue}{\frac{a}{\frac{y}{x}}}\right) \]

   if -2.79999999999999975e129 < y < -4.29999999999999975e28

   1. Initial program 15.9%

      \[\frac{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.7644705\right) \cdot y + 230661.510616\right) \cdot y + t}{\left(\left(\left(y + a\right) \cdot y + b\right) \cdot y + c\right) \cdot y + i} \]

   2. Taylor expanded in x around inf 7.4%

      \[\leadsto \color{blue}{\frac{{y}^{4} \cdot x}{y \cdot \left(c + y \cdot \left(\left(y + a\right) \cdot y + b\right)\right) + i}} \]

   3. Taylor expanded in i around 0 13.0%

      \[\leadsto \color{blue}{\frac{{y}^{3} \cdot x}{c + y \cdot \left(\left(y + a\right) \cdot y + b\right)}} \]

   4. Taylor expanded in c around 0 26.1%

      \[\leadsto \color{blue}{\frac{{y}^{2} \cdot x}{\left(y + a\right) \cdot y + b}} \]

   5. Simplified 43.7%

      \[\leadsto \color{blue}{\frac{y \cdot y}{\frac{\mathsf{fma}\left(y, y + a, b\right)}{x}}} \]
      Proof

      [Start] 26.1	\[ \frac{{y}^{2} \cdot x}{\left(y + a\right) \cdot y + b} \]
      associate-/l* [=>] 43.7	\[ \color{blue}{\frac{{y}^{2}}{\frac{\left(y + a\right) \cdot y + b}{x}}} \]
      unpow2 [=>] 43.7	\[ \frac{\color{blue}{y \cdot y}}{\frac{\left(y + a\right) \cdot y + b}{x}} \]
      *-commutative [<=] 43.7	\[ \frac{y \cdot y}{\frac{\color{blue}{y \cdot \left(y + a\right)} + b}{x}} \]
      fma-udef [<=] 43.7	\[ \frac{y \cdot y}{\frac{\color{blue}{\mathsf{fma}\left(y, y + a, b\right)}}{x}} \]

   if -4.29999999999999975e28 < y < 6.0999999999999999e60

   1. Initial program 94.4%

      \[\frac{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.7644705\right) \cdot y + 230661.510616\right) \cdot y + t}{\left(\left(\left(y + a\right) \cdot y + b\right) \cdot y + c\right) \cdot y + i} \]
3. Recombined 3 regimes into one program.

4. Final simplification 84.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y \leq -2.8 \cdot 10^{+129}:\\ \;\;\;\;\frac{z}{y} + \left(x - \frac{a}{\frac{y}{x}}\right)\\ \mathbf{elif}\;y \leq -4.3 \cdot 10^{+28}:\\ \;\;\;\;\frac{y \cdot y}{\frac{\mathsf{fma}\left(y, y + a, b\right)}{x}}\\ \mathbf{elif}\;y \leq 6.1 \cdot 10^{+60}:\\ \;\;\;\;\frac{y \cdot \left(y \cdot \left(y \cdot \left(z + y \cdot x\right) + 27464.7644705\right) + 230661.510616\right) + t}{y \cdot \left(y \cdot \left(b + y \cdot \left(y + a\right)\right) + c\right) + i}\\ \mathbf{else}:\\ \;\;\;\;\frac{z}{y} + \left(x - \frac{a}{\frac{y}{x}}\right)\\ \end{array} \]

Alternatives

Alternative 1
Accuracy	79.3%
Cost	2380

\[\begin{array}{l} t_1 := \frac{z}{y} + \left(x - \frac{a}{\frac{y}{x}}\right)\\ \mathbf{if}\;y \leq -6.2 \cdot 10^{+48}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 1.05 \cdot 10^{-101}:\\ \;\;\;\;\frac{y \cdot \left(y \cdot \left(y \cdot \left(z + y \cdot x\right) + 27464.7644705\right) + 230661.510616\right) + t}{i + y \cdot \left(c + y \cdot b\right)}\\ \mathbf{elif}\;y \leq 1.65 \cdot 10^{+63}:\\ \;\;\;\;\frac{t + y \cdot \left(230661.510616 + y \cdot \left(27464.7644705 + x \cdot \left(y \cdot y\right)\right)\right)}{y \cdot \left(y \cdot \left(b + y \cdot \left(y + a\right)\right) + c\right) + i}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 2
Accuracy	84.0%
Cost	2377

\[\begin{array}{l} \mathbf{if}\;y \leq -2.1 \cdot 10^{+52} \lor \neg \left(y \leq 1.76 \cdot 10^{+62}\right):\\ \;\;\;\;\frac{z}{y} + \left(x - \frac{a}{\frac{y}{x}}\right)\\ \mathbf{else}:\\ \;\;\;\;\frac{y \cdot \left(y \cdot \left(y \cdot \left(z + y \cdot x\right) + 27464.7644705\right) + 230661.510616\right) + t}{y \cdot \left(y \cdot \left(b + y \cdot \left(y + a\right)\right) + c\right) + i}\\ \end{array} \]

Alternative 3
Accuracy	79.4%
Cost	2252

\[\begin{array}{l} t_1 := \frac{z}{y} + \left(x - \frac{a}{\frac{y}{x}}\right)\\ \mathbf{if}\;y \leq -1.3 \cdot 10^{+51}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 2.6:\\ \;\;\;\;\frac{t + y \cdot \left(230661.510616 + z \cdot \left(y \cdot y\right)\right)}{y \cdot \left(y \cdot \left(b + y \cdot \left(y + a\right)\right) + c\right) + i}\\ \mathbf{elif}\;y \leq 4.7 \cdot 10^{+49}:\\ \;\;\;\;\frac{y \cdot \left(y \cdot \left(y \cdot \left(z + y \cdot x\right) + 27464.7644705\right) + 230661.510616\right) + t}{i + y \cdot \left(c + a \cdot \left(y \cdot y\right)\right)}\\ \mathbf{elif}\;y \leq 1.3 \cdot 10^{+82}:\\ \;\;\;\;\frac{y}{\frac{a}{x}}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 4
Accuracy	75.5%
Cost	1996

\[\begin{array}{l} t_1 := \frac{z}{y} + \left(x - \frac{a}{\frac{y}{x}}\right)\\ \mathbf{if}\;y \leq -3.6 \cdot 10^{+48}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 1.8 \cdot 10^{-27}:\\ \;\;\;\;\frac{t + y \cdot \left(230661.510616 + y \cdot \left(27464.7644705 + y \cdot z\right)\right)}{i + y \cdot \left(c + y \cdot b\right)}\\ \mathbf{elif}\;y \leq 5.5 \cdot 10^{+47}:\\ \;\;\;\;\frac{t + y \cdot \left(230661.510616 + y \cdot 27464.7644705\right)}{y \cdot \left(y \cdot \left(b + y \cdot \left(y + a\right)\right) + c\right) + i}\\ \mathbf{elif}\;y \leq 3.2 \cdot 10^{+121}:\\ \;\;\;\;\frac{y}{\frac{a}{x}}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 5
Accuracy	79.2%
Cost	1993

\[\begin{array}{l} \mathbf{if}\;y \leq -1.05 \cdot 10^{+48} \lor \neg \left(y \leq 4.9 \cdot 10^{+60}\right):\\ \;\;\;\;\frac{z}{y} + \left(x - \frac{a}{\frac{y}{x}}\right)\\ \mathbf{else}:\\ \;\;\;\;\frac{y \cdot \left(y \cdot \left(y \cdot \left(z + y \cdot x\right) + 27464.7644705\right) + 230661.510616\right) + t}{i + y \cdot \left(c + y \cdot b\right)}\\ \end{array} \]

Alternative 6
Accuracy	78.5%
Cost	1992

\[\begin{array}{l} t_1 := \frac{z}{y} + \left(x - \frac{a}{\frac{y}{x}}\right)\\ \mathbf{if}\;y \leq -2.3 \cdot 10^{+50}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 2.9 \cdot 10^{+48}:\\ \;\;\;\;\frac{t + y \cdot \left(230661.510616 + z \cdot \left(y \cdot y\right)\right)}{y \cdot \left(y \cdot \left(b + y \cdot \left(y + a\right)\right) + c\right) + i}\\ \mathbf{elif}\;y \leq 3.2 \cdot 10^{+121}:\\ \;\;\;\;\frac{y}{\frac{a}{x}}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 7
Accuracy	75.7%
Cost	1736

\[\begin{array}{l} t_1 := \frac{z}{y} + \left(x - \frac{a}{\frac{y}{x}}\right)\\ \mathbf{if}\;y \leq -8 \cdot 10^{+47}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 7.8 \cdot 10^{+36}:\\ \;\;\;\;\frac{t + y \cdot \left(230661.510616 + y \cdot \left(27464.7644705 + y \cdot z\right)\right)}{i + y \cdot \left(c + y \cdot b\right)}\\ \mathbf{elif}\;y \leq 3.2 \cdot 10^{+121}:\\ \;\;\;\;\frac{y}{\frac{a}{x}}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 8
Accuracy	73.6%
Cost	1608

\[\begin{array}{l} t_1 := \frac{z}{y} + \left(x - \frac{a}{\frac{y}{x}}\right)\\ \mathbf{if}\;y \leq -1.4 \cdot 10^{+48}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 4.5 \cdot 10^{+47}:\\ \;\;\;\;\frac{t + y \cdot 230661.510616}{y \cdot \left(y \cdot \left(b + y \cdot \left(y + a\right)\right) + c\right) + i}\\ \mathbf{elif}\;y \leq 3.2 \cdot 10^{+121}:\\ \;\;\;\;\frac{y}{\frac{a}{x}}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 9
Accuracy	75.1%
Cost	1608

\[\begin{array}{l} t_1 := \frac{z}{y} + \left(x - \frac{a}{\frac{y}{x}}\right)\\ \mathbf{if}\;y \leq -3 \cdot 10^{+48}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 3.8 \cdot 10^{+39}:\\ \;\;\;\;\frac{t + y \cdot \left(230661.510616 + z \cdot \left(y \cdot y\right)\right)}{i + y \cdot \left(c + y \cdot b\right)}\\ \mathbf{elif}\;y \leq 2.2 \cdot 10^{+122}:\\ \;\;\;\;\frac{y}{\frac{a}{x}}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 10
Accuracy	72.0%
Cost	1480

\[\begin{array}{l} t_1 := \frac{z}{y} + \left(x - \frac{a}{\frac{y}{x}}\right)\\ \mathbf{if}\;y \leq -7.2 \cdot 10^{+47}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 8 \cdot 10^{+25}:\\ \;\;\;\;\frac{t + y \cdot \left(230661.510616 + y \cdot 27464.7644705\right)}{i + y \cdot \left(c + y \cdot b\right)}\\ \mathbf{elif}\;y \leq 8 \cdot 10^{+121}:\\ \;\;\;\;\frac{y}{\frac{a}{x}}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 11
Accuracy	71.5%
Cost	1224

\[\begin{array}{l} t_1 := \frac{z}{y} + \left(x - \frac{a}{\frac{y}{x}}\right)\\ \mathbf{if}\;y \leq -1.4 \cdot 10^{+48}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 5 \cdot 10^{+39}:\\ \;\;\;\;\frac{t + y \cdot 230661.510616}{i + y \cdot \left(c + y \cdot b\right)}\\ \mathbf{elif}\;y \leq 3.2 \cdot 10^{+121}:\\ \;\;\;\;\frac{y}{\frac{a}{x}}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 12
Accuracy	59.1%
Cost	1100

\[\begin{array}{l} t_1 := \frac{z}{y} + \left(x - \frac{a}{\frac{y}{x}}\right)\\ \mathbf{if}\;y \leq -6.4 \cdot 10^{-15}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 4.4 \cdot 10^{+39}:\\ \;\;\;\;\frac{t + y \cdot 230661.510616}{i}\\ \mathbf{elif}\;y \leq 3.2 \cdot 10^{+121}:\\ \;\;\;\;\frac{y}{\frac{a}{x}}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 13
Accuracy	64.9%
Cost	1100

\[\begin{array}{l} t_1 := \frac{z}{y} + \left(x - \frac{a}{\frac{y}{x}}\right)\\ \mathbf{if}\;y \leq -1.6 \cdot 10^{+50}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 4.9 \cdot 10^{+26}:\\ \;\;\;\;\frac{t}{i + y \cdot \left(c + y \cdot b\right)}\\ \mathbf{elif}\;y \leq 3.2 \cdot 10^{+121}:\\ \;\;\;\;\frac{y}{\frac{a}{x}}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 14
Accuracy	49.6%
Cost	844

\[\begin{array}{l} \mathbf{if}\;y \leq -5.7 \cdot 10^{-15}:\\ \;\;\;\;x\\ \mathbf{elif}\;y \leq 2.2 \cdot 10^{+20}:\\ \;\;\;\;\frac{t}{i}\\ \mathbf{elif}\;y \leq 8 \cdot 10^{+121}:\\ \;\;\;\;\frac{y}{\frac{a}{x}}\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(1 - \frac{a}{y}\right)\\ \end{array} \]

Alternative 15
Accuracy	49.5%
Cost	844

\[\begin{array}{l} \mathbf{if}\;y \leq -6.4 \cdot 10^{-15}:\\ \;\;\;\;x\\ \mathbf{elif}\;y \leq 1.42 \cdot 10^{+20}:\\ \;\;\;\;\frac{t}{i}\\ \mathbf{elif}\;y \leq 4.4 \cdot 10^{+123}:\\ \;\;\;\;\frac{y}{\frac{a}{x}}\\ \mathbf{else}:\\ \;\;\;\;x - \frac{a}{\frac{y}{x}}\\ \end{array} \]

Alternative 16
Accuracy	52.9%
Cost	844

\[\begin{array}{l} \mathbf{if}\;y \leq -2.7 \cdot 10^{-15}:\\ \;\;\;\;x\\ \mathbf{elif}\;y \leq 3.8 \cdot 10^{+39}:\\ \;\;\;\;\frac{t + y \cdot 230661.510616}{i}\\ \mathbf{elif}\;y \leq 7.2 \cdot 10^{+121}:\\ \;\;\;\;\frac{y}{\frac{a}{x}}\\ \mathbf{else}:\\ \;\;\;\;x - \frac{a}{\frac{y}{x}}\\ \end{array} \]

Alternative 17
Accuracy	49.6%
Cost	716

\[\begin{array}{l} \mathbf{if}\;y \leq -3.1 \cdot 10^{-15}:\\ \;\;\;\;x\\ \mathbf{elif}\;y \leq 9.5 \cdot 10^{+19}:\\ \;\;\;\;\frac{t}{i}\\ \mathbf{elif}\;y \leq 2.15 \cdot 10^{+123}:\\ \;\;\;\;\frac{y}{\frac{a}{x}}\\ \mathbf{else}:\\ \;\;\;\;x\\ \end{array} \]

Alternative 18
Accuracy	49.7%
Cost	456

\[\begin{array}{l} \mathbf{if}\;y \leq -6.2 \cdot 10^{-15}:\\ \;\;\;\;x\\ \mathbf{elif}\;y \leq 7.5 \cdot 10^{+49}:\\ \;\;\;\;\frac{t}{i}\\ \mathbf{else}:\\ \;\;\;\;x\\ \end{array} \]

Alternative 19
Accuracy	26.7%
Cost	64

\[x \]

Reproduce

herbie shell --seed 2023147 
(FPCore (x y z t a b c i)
  :name "Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2"
  :precision binary64
  (/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))