Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2

Percentage Accurate: 55.7% → 81.2%

Time: 21.8s

Precision: binary64

Cost: 2512

Math

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

↓

\[\begin{array}{l} t_1 := t + y \cdot \left(230661.510616 + y \cdot \left(27464.7644705 + y \cdot \left(z + x \cdot y\right)\right)\right)\\ \mathbf{if}\;y \leq -1 \cdot 10^{+75}:\\ \;\;\;\;x + \frac{z}{y}\\ \mathbf{elif}\;y \leq -2.8 \cdot 10^{+31}:\\ \;\;\;\;\left(\frac{y}{\frac{a}{x}} + \frac{z}{a}\right) - \frac{b}{\frac{a \cdot a}{x}}\\ \mathbf{elif}\;y \leq 980:\\ \;\;\;\;\frac{t_1}{i + y \cdot \left(c + y \cdot b\right)}\\ \mathbf{elif}\;y \leq 5 \cdot 10^{+75}:\\ \;\;\;\;\frac{t_1}{y \cdot \left(y \cdot \left(y \cdot \left(y + a\right) + b\right) + c\right)}\\ \mathbf{else}:\\ \;\;\;\;\frac{z}{y} + \left(x + x \cdot \left(\left(\frac{a}{y} \cdot \frac{a}{y} - \frac{b}{y \cdot y}\right) - \frac{a}{y}\right)\right)\\ \end{array} \]

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
         (+
          t
          (*
           y
           (+ 230661.510616 (* y (+ 27464.7644705 (* y (+ z (* x y))))))))))
   (if (<= y -1e+75)
     (+ x (/ z y))
     (if (<= y -2.8e+31)
       (- (+ (/ y (/ a x)) (/ z a)) (/ b (/ (* a a) x)))
       (if (<= y 980.0)
         (/ t_1 (+ i (* y (+ c (* y b)))))
         (if (<= y 5e+75)
           (/ t_1 (* y (+ (* y (+ (* y (+ y a)) b)) c)))
           (+
            (/ z y)
            (+
             x
             (* x (- (- (* (/ a y) (/ a y)) (/ b (* y y))) (/ a y)))))))))))

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 = t + (y * (230661.510616 + (y * (27464.7644705 + (y * (z + (x * y)))))));
	double tmp;
	if (y <= -1e+75) {
		tmp = x + (z / y);
	} else if (y <= -2.8e+31) {
		tmp = ((y / (a / x)) + (z / a)) - (b / ((a * a) / x));
	} else if (y <= 980.0) {
		tmp = t_1 / (i + (y * (c + (y * b))));
	} else if (y <= 5e+75) {
		tmp = t_1 / (y * ((y * ((y * (y + a)) + b)) + c));
	} else {
		tmp = (z / y) + (x + (x * ((((a / y) * (a / y)) - (b / (y * y))) - (a / y))));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i)
    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), intent (in) :: c
    real(8), intent (in) :: i
    code = ((((((((x * y) + z) * y) + 27464.7644705d0) * y) + 230661.510616d0) * y) + t) / (((((((y + a) * y) + b) * y) + c) * y) + i)
end function

↓

real(8) function code(x, y, z, t, a, b, c, i)
    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), intent (in) :: c
    real(8), intent (in) :: i
    real(8) :: t_1
    real(8) :: tmp
    t_1 = t + (y * (230661.510616d0 + (y * (27464.7644705d0 + (y * (z + (x * y)))))))
    if (y <= (-1d+75)) then
        tmp = x + (z / y)
    else if (y <= (-2.8d+31)) then
        tmp = ((y / (a / x)) + (z / a)) - (b / ((a * a) / x))
    else if (y <= 980.0d0) then
        tmp = t_1 / (i + (y * (c + (y * b))))
    else if (y <= 5d+75) then
        tmp = t_1 / (y * ((y * ((y * (y + a)) + b)) + c))
    else
        tmp = (z / y) + (x + (x * ((((a / y) * (a / y)) - (b / (y * y))) - (a / y))))
    end if
    code = tmp
end function

Java

public static 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);
}

↓

public static double code(double x, double y, double z, double t, double a, double b, double c, double i) {
	double t_1 = t + (y * (230661.510616 + (y * (27464.7644705 + (y * (z + (x * y)))))));
	double tmp;
	if (y <= -1e+75) {
		tmp = x + (z / y);
	} else if (y <= -2.8e+31) {
		tmp = ((y / (a / x)) + (z / a)) - (b / ((a * a) / x));
	} else if (y <= 980.0) {
		tmp = t_1 / (i + (y * (c + (y * b))));
	} else if (y <= 5e+75) {
		tmp = t_1 / (y * ((y * ((y * (y + a)) + b)) + c));
	} else {
		tmp = (z / y) + (x + (x * ((((a / y) * (a / y)) - (b / (y * y))) - (a / y))));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i):
	return ((((((((x * y) + z) * y) + 27464.7644705) * y) + 230661.510616) * y) + t) / (((((((y + a) * y) + b) * y) + c) * y) + i)

↓

def code(x, y, z, t, a, b, c, i):
	t_1 = t + (y * (230661.510616 + (y * (27464.7644705 + (y * (z + (x * y)))))))
	tmp = 0
	if y <= -1e+75:
		tmp = x + (z / y)
	elif y <= -2.8e+31:
		tmp = ((y / (a / x)) + (z / a)) - (b / ((a * a) / x))
	elif y <= 980.0:
		tmp = t_1 / (i + (y * (c + (y * b))))
	elif y <= 5e+75:
		tmp = t_1 / (y * ((y * ((y * (y + a)) + b)) + c))
	else:
		tmp = (z / y) + (x + (x * ((((a / y) * (a / y)) - (b / (y * y))) - (a / y))))
	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(t + Float64(y * Float64(230661.510616 + Float64(y * Float64(27464.7644705 + Float64(y * Float64(z + Float64(x * y))))))))
	tmp = 0.0
	if (y <= -1e+75)
		tmp = Float64(x + Float64(z / y));
	elseif (y <= -2.8e+31)
		tmp = Float64(Float64(Float64(y / Float64(a / x)) + Float64(z / a)) - Float64(b / Float64(Float64(a * a) / x)));
	elseif (y <= 980.0)
		tmp = Float64(t_1 / Float64(i + Float64(y * Float64(c + Float64(y * b)))));
	elseif (y <= 5e+75)
		tmp = Float64(t_1 / Float64(y * Float64(Float64(y * Float64(Float64(y * Float64(y + a)) + b)) + c)));
	else
		tmp = Float64(Float64(z / y) + Float64(x + Float64(x * Float64(Float64(Float64(Float64(a / y) * Float64(a / y)) - Float64(b / Float64(y * y))) - Float64(a / y)))));
	end
	return tmp
end

MATLAB

function tmp = code(x, y, z, t, a, b, c, i)
	tmp = ((((((((x * y) + z) * y) + 27464.7644705) * y) + 230661.510616) * y) + t) / (((((((y + a) * y) + b) * y) + c) * y) + i);
end

↓

function tmp_2 = code(x, y, z, t, a, b, c, i)
	t_1 = t + (y * (230661.510616 + (y * (27464.7644705 + (y * (z + (x * y)))))));
	tmp = 0.0;
	if (y <= -1e+75)
		tmp = x + (z / y);
	elseif (y <= -2.8e+31)
		tmp = ((y / (a / x)) + (z / a)) - (b / ((a * a) / x));
	elseif (y <= 980.0)
		tmp = t_1 / (i + (y * (c + (y * b))));
	elseif (y <= 5e+75)
		tmp = t_1 / (y * ((y * ((y * (y + a)) + b)) + c));
	else
		tmp = (z / y) + (x + (x * ((((a / y) * (a / y)) - (b / (y * y))) - (a / y))));
	end
	tmp_2 = 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[(t + N[(y * N[(230661.510616 + N[(y * N[(27464.7644705 + N[(y * N[(z + N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y, -1e+75], N[(x + N[(z / y), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -2.8e+31], N[(N[(N[(y / N[(a / x), $MachinePrecision]), $MachinePrecision] + N[(z / a), $MachinePrecision]), $MachinePrecision] - N[(b / N[(N[(a * a), $MachinePrecision] / x), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 980.0], N[(t$95$1 / N[(i + N[(y * N[(c + N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 5e+75], N[(t$95$1 / N[(y * N[(N[(y * N[(N[(y * N[(y + a), $MachinePrecision]), $MachinePrecision] + b), $MachinePrecision]), $MachinePrecision] + c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(N[(z / y), $MachinePrecision] + N[(x + N[(x * N[(N[(N[(N[(a / y), $MachinePrecision] * N[(a / y), $MachinePrecision]), $MachinePrecision] - N[(b / N[(y * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(a / y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]

Derivation

1. Split input into 5 regimes

2. if y < -9.99999999999999927e74

   1. Initial program 0.3%

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

   2. Taylor expanded in y around inf 71.8%

      \[\leadsto \color{blue}{\left(\frac{z}{y} + \left(27464.7644705 \cdot \frac{1}{{y}^{2}} + x\right)\right) - \left(\frac{\left(z - a \cdot x\right) \cdot a}{{y}^{2}} + \left(\frac{a \cdot x}{y} + \frac{b \cdot x}{{y}^{2}}\right)\right)} \]

   3. Simplified 76.2%

      \[\leadsto \color{blue}{\frac{z}{y} + \left(\left(x + \frac{27464.7644705}{y \cdot y}\right) - \left(\frac{a}{\frac{y \cdot y}{z - a \cdot x}} + \left(\frac{a}{\frac{y}{x}} + \frac{b}{y} \cdot \frac{x}{y}\right)\right)\right)} \]
      Step-by-step derivation

      [Start] 71.8%	\[ \left(\frac{z}{y} + \left(27464.7644705 \cdot \frac{1}{{y}^{2}} + x\right)\right) - \left(\frac{\left(z - a \cdot x\right) \cdot a}{{y}^{2}} + \left(\frac{a \cdot x}{y} + \frac{b \cdot x}{{y}^{2}}\right)\right) \]
      associate--l+ [=>] 71.8%	\[ \color{blue}{\frac{z}{y} + \left(\left(27464.7644705 \cdot \frac{1}{{y}^{2}} + x\right) - \left(\frac{\left(z - a \cdot x\right) \cdot a}{{y}^{2}} + \left(\frac{a \cdot x}{y} + \frac{b \cdot x}{{y}^{2}}\right)\right)\right)} \]
      +-commutative [=>] 71.8%	\[ \frac{z}{y} + \left(\color{blue}{\left(x + 27464.7644705 \cdot \frac{1}{{y}^{2}}\right)} - \left(\frac{\left(z - a \cdot x\right) \cdot a}{{y}^{2}} + \left(\frac{a \cdot x}{y} + \frac{b \cdot x}{{y}^{2}}\right)\right)\right) \]
      associate-*r/ [=>] 71.8%	\[ \frac{z}{y} + \left(\left(x + \color{blue}{\frac{27464.7644705 \cdot 1}{{y}^{2}}}\right) - \left(\frac{\left(z - a \cdot x\right) \cdot a}{{y}^{2}} + \left(\frac{a \cdot x}{y} + \frac{b \cdot x}{{y}^{2}}\right)\right)\right) \]
      metadata-eval [=>] 71.8%	\[ \frac{z}{y} + \left(\left(x + \frac{\color{blue}{27464.7644705}}{{y}^{2}}\right) - \left(\frac{\left(z - a \cdot x\right) \cdot a}{{y}^{2}} + \left(\frac{a \cdot x}{y} + \frac{b \cdot x}{{y}^{2}}\right)\right)\right) \]
      unpow2 [=>] 71.8%	\[ \frac{z}{y} + \left(\left(x + \frac{27464.7644705}{\color{blue}{y \cdot y}}\right) - \left(\frac{\left(z - a \cdot x\right) \cdot a}{{y}^{2}} + \left(\frac{a \cdot x}{y} + \frac{b \cdot x}{{y}^{2}}\right)\right)\right) \]
      *-commutative [=>] 71.8%	\[ \frac{z}{y} + \left(\left(x + \frac{27464.7644705}{y \cdot y}\right) - \left(\frac{\color{blue}{a \cdot \left(z - a \cdot x\right)}}{{y}^{2}} + \left(\frac{a \cdot x}{y} + \frac{b \cdot x}{{y}^{2}}\right)\right)\right) \]
      associate-/l* [=>] 74.0%	\[ \frac{z}{y} + \left(\left(x + \frac{27464.7644705}{y \cdot y}\right) - \left(\color{blue}{\frac{a}{\frac{{y}^{2}}{z - a \cdot x}}} + \left(\frac{a \cdot x}{y} + \frac{b \cdot x}{{y}^{2}}\right)\right)\right) \]
      unpow2 [=>] 74.0%	\[ \frac{z}{y} + \left(\left(x + \frac{27464.7644705}{y \cdot y}\right) - \left(\frac{a}{\frac{\color{blue}{y \cdot y}}{z - a \cdot x}} + \left(\frac{a \cdot x}{y} + \frac{b \cdot x}{{y}^{2}}\right)\right)\right) \]
      associate-/l* [=>] 74.0%	\[ \frac{z}{y} + \left(\left(x + \frac{27464.7644705}{y \cdot y}\right) - \left(\frac{a}{\frac{y \cdot y}{z - a \cdot x}} + \left(\color{blue}{\frac{a}{\frac{y}{x}}} + \frac{b \cdot x}{{y}^{2}}\right)\right)\right) \]
      unpow2 [=>] 74.0%	\[ \frac{z}{y} + \left(\left(x + \frac{27464.7644705}{y \cdot y}\right) - \left(\frac{a}{\frac{y \cdot y}{z - a \cdot x}} + \left(\frac{a}{\frac{y}{x}} + \frac{b \cdot x}{\color{blue}{y \cdot y}}\right)\right)\right) \]
      times-frac [=>] 76.2%	\[ \frac{z}{y} + \left(\left(x + \frac{27464.7644705}{y \cdot y}\right) - \left(\frac{a}{\frac{y \cdot y}{z - a \cdot x}} + \left(\frac{a}{\frac{y}{x}} + \color{blue}{\frac{b}{y} \cdot \frac{x}{y}}\right)\right)\right) \]

   4. Taylor expanded in y around inf 81.2%

      \[\leadsto \frac{z}{y} + \color{blue}{x} \]

   if -9.99999999999999927e74 < y < -2.80000000000000017e31

   1. Initial program 20.5%

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

   2. Taylor expanded in y around 0 12.0%

      \[\leadsto \frac{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.7644705\right) \cdot y + 230661.510616\right) \cdot y + t}{\color{blue}{\left(a \cdot {y}^{3} + \left({y}^{2} \cdot b + c \cdot y\right)\right)} + i} \]

   3. Taylor expanded in y around inf 45.6%

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

   4. Simplified 50.8%

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

      [Start] 45.6%	\[ \left(\frac{z}{a} + \frac{y \cdot x}{a}\right) - \frac{b \cdot x}{{a}^{2}} \]
      +-commutative [=>] 45.6%	\[ \color{blue}{\left(\frac{y \cdot x}{a} + \frac{z}{a}\right)} - \frac{b \cdot x}{{a}^{2}} \]
      associate-/l* [=>] 45.6%	\[ \left(\color{blue}{\frac{y}{\frac{a}{x}}} + \frac{z}{a}\right) - \frac{b \cdot x}{{a}^{2}} \]
      associate-/l* [=>] 50.8%	\[ \left(\frac{y}{\frac{a}{x}} + \frac{z}{a}\right) - \color{blue}{\frac{b}{\frac{{a}^{2}}{x}}} \]
      unpow2 [=>] 50.8%	\[ \left(\frac{y}{\frac{a}{x}} + \frac{z}{a}\right) - \frac{b}{\frac{\color{blue}{a \cdot a}}{x}} \]

   if -2.80000000000000017e31 < y < 980

   1. Initial program 97.6%

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

   2. Taylor expanded in y around 0 97.6%

      \[\leadsto \frac{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.7644705\right) \cdot y + 230661.510616\right) \cdot y + t}{\color{blue}{\left(a \cdot {y}^{3} + \left({y}^{2} \cdot b + c \cdot y\right)\right)} + i} \]

   3. Taylor expanded in a around 0 94.8%

      \[\leadsto \frac{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.7644705\right) \cdot y + 230661.510616\right) \cdot y + t}{\color{blue}{\left({y}^{2} \cdot b + c \cdot y\right)} + i} \]

   4. Simplified 94.8%

      \[\leadsto \frac{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.7644705\right) \cdot y + 230661.510616\right) \cdot y + t}{\color{blue}{y \cdot \left(c + y \cdot b\right)} + i} \]
      Step-by-step derivation

      [Start] 94.8%	\[ \frac{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.7644705\right) \cdot y + 230661.510616\right) \cdot y + t}{\left({y}^{2} \cdot b + c \cdot y\right) + i} \]
      +-commutative [=>] 94.8%	\[ \frac{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.7644705\right) \cdot y + 230661.510616\right) \cdot y + t}{\color{blue}{\left(c \cdot y + {y}^{2} \cdot b\right)} + i} \]
      *-commutative [<=] 94.8%	\[ \frac{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.7644705\right) \cdot y + 230661.510616\right) \cdot y + t}{\left(c \cdot y + \color{blue}{b \cdot {y}^{2}}\right) + i} \]
      unpow2 [=>] 94.8%	\[ \frac{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.7644705\right) \cdot y + 230661.510616\right) \cdot y + t}{\left(c \cdot y + b \cdot \color{blue}{\left(y \cdot y\right)}\right) + i} \]
      associate-*r* [=>] 94.8%	\[ \frac{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.7644705\right) \cdot y + 230661.510616\right) \cdot y + t}{\left(c \cdot y + \color{blue}{\left(b \cdot y\right) \cdot y}\right) + i} \]
      *-commutative [<=] 94.8%	\[ \frac{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.7644705\right) \cdot y + 230661.510616\right) \cdot y + t}{\left(c \cdot y + \color{blue}{\left(y \cdot b\right)} \cdot y\right) + i} \]
      distribute-rgt-out [=>] 94.8%	\[ \frac{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.7644705\right) \cdot y + 230661.510616\right) \cdot y + t}{\color{blue}{y \cdot \left(c + y \cdot b\right)} + i} \]

   if 980 < y < 5.0000000000000002e75

   1. Initial program 57.5%

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

   2. Taylor expanded in i around 0 57.5%

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

   if 5.0000000000000002e75 < y

   1. Initial program 0.0%

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

   2. Taylor expanded in y around inf 51.7%

      \[\leadsto \color{blue}{\left(\frac{z}{y} + \left(27464.7644705 \cdot \frac{1}{{y}^{2}} + x\right)\right) - \left(\frac{\left(z - a \cdot x\right) \cdot a}{{y}^{2}} + \left(\frac{a \cdot x}{y} + \frac{b \cdot x}{{y}^{2}}\right)\right)} \]

   3. Simplified 63.5%

      \[\leadsto \color{blue}{\frac{z}{y} + \left(\left(x + \frac{27464.7644705}{y \cdot y}\right) - \left(\frac{a}{\frac{y \cdot y}{z - a \cdot x}} + \left(\frac{a}{\frac{y}{x}} + \frac{b}{y} \cdot \frac{x}{y}\right)\right)\right)} \]
      Step-by-step derivation

      [Start] 51.7%	\[ \left(\frac{z}{y} + \left(27464.7644705 \cdot \frac{1}{{y}^{2}} + x\right)\right) - \left(\frac{\left(z - a \cdot x\right) \cdot a}{{y}^{2}} + \left(\frac{a \cdot x}{y} + \frac{b \cdot x}{{y}^{2}}\right)\right) \]
      associate--l+ [=>] 51.7%	\[ \color{blue}{\frac{z}{y} + \left(\left(27464.7644705 \cdot \frac{1}{{y}^{2}} + x\right) - \left(\frac{\left(z - a \cdot x\right) \cdot a}{{y}^{2}} + \left(\frac{a \cdot x}{y} + \frac{b \cdot x}{{y}^{2}}\right)\right)\right)} \]
      +-commutative [=>] 51.7%	\[ \frac{z}{y} + \left(\color{blue}{\left(x + 27464.7644705 \cdot \frac{1}{{y}^{2}}\right)} - \left(\frac{\left(z - a \cdot x\right) \cdot a}{{y}^{2}} + \left(\frac{a \cdot x}{y} + \frac{b \cdot x}{{y}^{2}}\right)\right)\right) \]
      associate-*r/ [=>] 51.7%	\[ \frac{z}{y} + \left(\left(x + \color{blue}{\frac{27464.7644705 \cdot 1}{{y}^{2}}}\right) - \left(\frac{\left(z - a \cdot x\right) \cdot a}{{y}^{2}} + \left(\frac{a \cdot x}{y} + \frac{b \cdot x}{{y}^{2}}\right)\right)\right) \]
      metadata-eval [=>] 51.7%	\[ \frac{z}{y} + \left(\left(x + \frac{\color{blue}{27464.7644705}}{{y}^{2}}\right) - \left(\frac{\left(z - a \cdot x\right) \cdot a}{{y}^{2}} + \left(\frac{a \cdot x}{y} + \frac{b \cdot x}{{y}^{2}}\right)\right)\right) \]
      unpow2 [=>] 51.7%	\[ \frac{z}{y} + \left(\left(x + \frac{27464.7644705}{\color{blue}{y \cdot y}}\right) - \left(\frac{\left(z - a \cdot x\right) \cdot a}{{y}^{2}} + \left(\frac{a \cdot x}{y} + \frac{b \cdot x}{{y}^{2}}\right)\right)\right) \]
      *-commutative [=>] 51.7%	\[ \frac{z}{y} + \left(\left(x + \frac{27464.7644705}{y \cdot y}\right) - \left(\frac{\color{blue}{a \cdot \left(z - a \cdot x\right)}}{{y}^{2}} + \left(\frac{a \cdot x}{y} + \frac{b \cdot x}{{y}^{2}}\right)\right)\right) \]
      associate-/l* [=>] 61.2%	\[ \frac{z}{y} + \left(\left(x + \frac{27464.7644705}{y \cdot y}\right) - \left(\color{blue}{\frac{a}{\frac{{y}^{2}}{z - a \cdot x}}} + \left(\frac{a \cdot x}{y} + \frac{b \cdot x}{{y}^{2}}\right)\right)\right) \]
      unpow2 [=>] 61.2%	\[ \frac{z}{y} + \left(\left(x + \frac{27464.7644705}{y \cdot y}\right) - \left(\frac{a}{\frac{\color{blue}{y \cdot y}}{z - a \cdot x}} + \left(\frac{a \cdot x}{y} + \frac{b \cdot x}{{y}^{2}}\right)\right)\right) \]
      associate-/l* [=>] 61.5%	\[ \frac{z}{y} + \left(\left(x + \frac{27464.7644705}{y \cdot y}\right) - \left(\frac{a}{\frac{y \cdot y}{z - a \cdot x}} + \left(\color{blue}{\frac{a}{\frac{y}{x}}} + \frac{b \cdot x}{{y}^{2}}\right)\right)\right) \]
      unpow2 [=>] 61.5%	\[ \frac{z}{y} + \left(\left(x + \frac{27464.7644705}{y \cdot y}\right) - \left(\frac{a}{\frac{y \cdot y}{z - a \cdot x}} + \left(\frac{a}{\frac{y}{x}} + \frac{b \cdot x}{\color{blue}{y \cdot y}}\right)\right)\right) \]
      times-frac [=>] 63.5%	\[ \frac{z}{y} + \left(\left(x + \frac{27464.7644705}{y \cdot y}\right) - \left(\frac{a}{\frac{y \cdot y}{z - a \cdot x}} + \left(\frac{a}{\frac{y}{x}} + \color{blue}{\frac{b}{y} \cdot \frac{x}{y}}\right)\right)\right) \]

   4. Taylor expanded in x around -inf 69.0%

      \[\leadsto \frac{z}{y} + \color{blue}{\left(1 + \left(-1 \cdot \frac{a}{y} + \left(\frac{{a}^{2}}{{y}^{2}} + -1 \cdot \frac{b}{{y}^{2}}\right)\right)\right) \cdot x} \]

   5. Simplified 79.0%

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

      [Start] 69.0%	\[ \frac{z}{y} + \left(1 + \left(-1 \cdot \frac{a}{y} + \left(\frac{{a}^{2}}{{y}^{2}} + -1 \cdot \frac{b}{{y}^{2}}\right)\right)\right) \cdot x \]
      *-commutative [=>] 69.0%	\[ \frac{z}{y} + \color{blue}{x \cdot \left(1 + \left(-1 \cdot \frac{a}{y} + \left(\frac{{a}^{2}}{{y}^{2}} + -1 \cdot \frac{b}{{y}^{2}}\right)\right)\right)} \]
      distribute-lft-in [=>] 69.1%	\[ \frac{z}{y} + \color{blue}{\left(x \cdot 1 + x \cdot \left(-1 \cdot \frac{a}{y} + \left(\frac{{a}^{2}}{{y}^{2}} + -1 \cdot \frac{b}{{y}^{2}}\right)\right)\right)} \]
      *-rgt-identity [=>] 69.1%	\[ \frac{z}{y} + \left(\color{blue}{x} + x \cdot \left(-1 \cdot \frac{a}{y} + \left(\frac{{a}^{2}}{{y}^{2}} + -1 \cdot \frac{b}{{y}^{2}}\right)\right)\right) \]
      +-commutative [=>] 69.1%	\[ \frac{z}{y} + \left(x + x \cdot \color{blue}{\left(\left(\frac{{a}^{2}}{{y}^{2}} + -1 \cdot \frac{b}{{y}^{2}}\right) + -1 \cdot \frac{a}{y}\right)}\right) \]
      mul-1-neg [=>] 69.1%	\[ \frac{z}{y} + \left(x + x \cdot \left(\left(\frac{{a}^{2}}{{y}^{2}} + -1 \cdot \frac{b}{{y}^{2}}\right) + \color{blue}{\left(-\frac{a}{y}\right)}\right)\right) \]
      unsub-neg [=>] 69.1%	\[ \frac{z}{y} + \left(x + x \cdot \color{blue}{\left(\left(\frac{{a}^{2}}{{y}^{2}} + -1 \cdot \frac{b}{{y}^{2}}\right) - \frac{a}{y}\right)}\right) \]
      mul-1-neg [=>] 69.1%	\[ \frac{z}{y} + \left(x + x \cdot \left(\left(\frac{{a}^{2}}{{y}^{2}} + \color{blue}{\left(-\frac{b}{{y}^{2}}\right)}\right) - \frac{a}{y}\right)\right) \]
      unsub-neg [=>] 69.1%	\[ \frac{z}{y} + \left(x + x \cdot \left(\color{blue}{\left(\frac{{a}^{2}}{{y}^{2}} - \frac{b}{{y}^{2}}\right)} - \frac{a}{y}\right)\right) \]
      unpow2 [=>] 69.1%	\[ \frac{z}{y} + \left(x + x \cdot \left(\left(\frac{\color{blue}{a \cdot a}}{{y}^{2}} - \frac{b}{{y}^{2}}\right) - \frac{a}{y}\right)\right) \]
      unpow2 [=>] 69.1%	\[ \frac{z}{y} + \left(x + x \cdot \left(\left(\frac{a \cdot a}{\color{blue}{y \cdot y}} - \frac{b}{{y}^{2}}\right) - \frac{a}{y}\right)\right) \]
      times-frac [=>] 79.0%	\[ \frac{z}{y} + \left(x + x \cdot \left(\left(\color{blue}{\frac{a}{y} \cdot \frac{a}{y}} - \frac{b}{{y}^{2}}\right) - \frac{a}{y}\right)\right) \]
      unpow2 [=>] 79.0%	\[ \frac{z}{y} + \left(x + x \cdot \left(\left(\frac{a}{y} \cdot \frac{a}{y} - \frac{b}{\color{blue}{y \cdot y}}\right) - \frac{a}{y}\right)\right) \]

3. Recombined 5 regimes into one program.

4. Final simplification 84.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y \leq -1 \cdot 10^{+75}:\\ \;\;\;\;x + \frac{z}{y}\\ \mathbf{elif}\;y \leq -2.8 \cdot 10^{+31}:\\ \;\;\;\;\left(\frac{y}{\frac{a}{x}} + \frac{z}{a}\right) - \frac{b}{\frac{a \cdot a}{x}}\\ \mathbf{elif}\;y \leq 980:\\ \;\;\;\;\frac{t + y \cdot \left(230661.510616 + y \cdot \left(27464.7644705 + y \cdot \left(z + x \cdot y\right)\right)\right)}{i + y \cdot \left(c + y \cdot b\right)}\\ \mathbf{elif}\;y \leq 5 \cdot 10^{+75}:\\ \;\;\;\;\frac{t + y \cdot \left(230661.510616 + y \cdot \left(27464.7644705 + y \cdot \left(z + x \cdot y\right)\right)\right)}{y \cdot \left(y \cdot \left(y \cdot \left(y + a\right) + b\right) + c\right)}\\ \mathbf{else}:\\ \;\;\;\;\frac{z}{y} + \left(x + x \cdot \left(\left(\frac{a}{y} \cdot \frac{a}{y} - \frac{b}{y \cdot y}\right) - \frac{a}{y}\right)\right)\\ \end{array} \]

Alternatives

Alternative 1
Accuracy	81.2%
Cost	2512

\[\begin{array}{l} t_1 := t + y \cdot \left(230661.510616 + y \cdot \left(27464.7644705 + y \cdot \left(z + x \cdot y\right)\right)\right)\\ \mathbf{if}\;y \leq -1 \cdot 10^{+75}:\\ \;\;\;\;x + \frac{z}{y}\\ \mathbf{elif}\;y \leq -2.8 \cdot 10^{+31}:\\ \;\;\;\;\left(\frac{y}{\frac{a}{x}} + \frac{z}{a}\right) - \frac{b}{\frac{a \cdot a}{x}}\\ \mathbf{elif}\;y \leq 980:\\ \;\;\;\;\frac{t_1}{i + y \cdot \left(c + y \cdot b\right)}\\ \mathbf{elif}\;y \leq 5 \cdot 10^{+75}:\\ \;\;\;\;\frac{t_1}{y \cdot \left(y \cdot \left(y \cdot \left(y + a\right) + b\right) + c\right)}\\ \mathbf{else}:\\ \;\;\;\;\frac{z}{y} + \left(x + x \cdot \left(\left(\frac{a}{y} \cdot \frac{a}{y} - \frac{b}{y \cdot y}\right) - \frac{a}{y}\right)\right)\\ \end{array} \]

Alternative 2
Accuracy	84.4%
Cost	4292

\[\begin{array}{l} t_1 := \frac{t + y \cdot \left(230661.510616 + y \cdot \left(27464.7644705 + y \cdot \left(z + x \cdot y\right)\right)\right)}{y \cdot \left(y \cdot \left(y \cdot \left(y + a\right) + b\right) + c\right) + i}\\ \mathbf{if}\;t_1 \leq \infty:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;\frac{z}{y} + \left(x + x \cdot \left(\left(\frac{a}{y} \cdot \frac{a}{y} - \frac{b}{y \cdot y}\right) - \frac{a}{y}\right)\right)\\ \end{array} \]

Alternative 3
Accuracy	80.5%
Cost	2124

\[\begin{array}{l} \mathbf{if}\;y \leq -8 \cdot 10^{+74}:\\ \;\;\;\;x + \frac{z}{y}\\ \mathbf{elif}\;y \leq -1.05 \cdot 10^{+32}:\\ \;\;\;\;\left(\frac{y}{\frac{a}{x}} + \frac{z}{a}\right) - \frac{b}{\frac{a \cdot a}{x}}\\ \mathbf{elif}\;y \leq 5.2 \cdot 10^{+25}:\\ \;\;\;\;\frac{t + y \cdot \left(230661.510616 + z \cdot \left(y \cdot y\right)\right)}{y \cdot \left(y \cdot \left(y \cdot \left(y + a\right) + b\right) + c\right) + i}\\ \mathbf{else}:\\ \;\;\;\;\frac{z}{y} + \left(x + x \cdot \left(\left(\frac{a}{y} \cdot \frac{a}{y} - \frac{b}{y \cdot y}\right) - \frac{a}{y}\right)\right)\\ \end{array} \]

Alternative 4
Accuracy	80.7%
Cost	2124

\[\begin{array}{l} \mathbf{if}\;y \leq -8.6 \cdot 10^{+74}:\\ \;\;\;\;x + \frac{z}{y}\\ \mathbf{elif}\;y \leq -6.2 \cdot 10^{+32}:\\ \;\;\;\;\left(\frac{y}{\frac{a}{x}} + \frac{z}{a}\right) - \frac{b}{\frac{a \cdot a}{x}}\\ \mathbf{elif}\;y \leq 5.8 \cdot 10^{+25}:\\ \;\;\;\;\frac{t + y \cdot \left(230661.510616 + y \cdot \left(27464.7644705 + y \cdot \left(z + x \cdot y\right)\right)\right)}{i + y \cdot \left(c + y \cdot b\right)}\\ \mathbf{else}:\\ \;\;\;\;\frac{z}{y} + \left(x + x \cdot \left(\left(\frac{a}{y} \cdot \frac{a}{y} - \frac{b}{y \cdot y}\right) - \frac{a}{y}\right)\right)\\ \end{array} \]

Alternative 5
Accuracy	75.6%
Cost	1996

\[\begin{array}{l} \mathbf{if}\;y \leq -1.9 \cdot 10^{+75}:\\ \;\;\;\;x + \frac{z}{y}\\ \mathbf{elif}\;y \leq -2.9 \cdot 10^{+32}:\\ \;\;\;\;\left(\frac{y}{\frac{a}{x}} + \frac{z}{a}\right) - \frac{b}{\frac{a \cdot a}{x}}\\ \mathbf{elif}\;y \leq 5.8 \cdot 10^{+25}:\\ \;\;\;\;\frac{t + y \cdot \left(230661.510616 + y \cdot \left(27464.7644705 + y \cdot \left(z + x \cdot y\right)\right)\right)}{i + y \cdot c}\\ \mathbf{else}:\\ \;\;\;\;\frac{z}{y} + x \cdot \left(\left(\left(\frac{a}{y} \cdot \frac{a}{y} - \frac{a}{y}\right) - \frac{b}{y \cdot y}\right) + 1\right)\\ \end{array} \]

Alternative 6
Accuracy	75.6%
Cost	1996

\[\begin{array}{l} \mathbf{if}\;y \leq -1.45 \cdot 10^{+75}:\\ \;\;\;\;x + \frac{z}{y}\\ \mathbf{elif}\;y \leq -7.8 \cdot 10^{+30}:\\ \;\;\;\;\left(\frac{y}{\frac{a}{x}} + \frac{z}{a}\right) - \frac{b}{\frac{a \cdot a}{x}}\\ \mathbf{elif}\;y \leq 8 \cdot 10^{+24}:\\ \;\;\;\;\frac{t + y \cdot \left(230661.510616 + y \cdot \left(27464.7644705 + y \cdot \left(z + x \cdot y\right)\right)\right)}{i + y \cdot c}\\ \mathbf{else}:\\ \;\;\;\;\frac{z}{y} + \left(x + x \cdot \left(\left(\frac{a}{y} \cdot \frac{a}{y} - \frac{b}{y \cdot y}\right) - \frac{a}{y}\right)\right)\\ \end{array} \]

Alternative 7
Accuracy	75.4%
Cost	1868

\[\begin{array}{l} t_1 := \left(\frac{y}{\frac{a}{x}} + \frac{z}{a}\right) - \frac{b}{\frac{a \cdot a}{x}}\\ \mathbf{if}\;y \leq -1.05 \cdot 10^{+75}:\\ \;\;\;\;x + \frac{z}{y}\\ \mathbf{elif}\;y \leq -3.2 \cdot 10^{+31}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 6 \cdot 10^{+30}:\\ \;\;\;\;\frac{t + y \cdot \left(230661.510616 + y \cdot \left(27464.7644705 + y \cdot \left(z + x \cdot y\right)\right)\right)}{i + y \cdot c}\\ \mathbf{elif}\;y \leq 4.8 \cdot 10^{+87}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;\frac{z}{y} + \left(x - a \cdot \frac{x}{y}\right)\\ \end{array} \]

Alternative 8
Accuracy	76.6%
Cost	1740

\[\begin{array}{l} \mathbf{if}\;y \leq -2.7 \cdot 10^{+75}:\\ \;\;\;\;x + \frac{z}{y}\\ \mathbf{elif}\;y \leq -9.8 \cdot 10^{+30}:\\ \;\;\;\;\left(\frac{y}{\frac{a}{x}} + \frac{z}{a}\right) - \frac{b}{\frac{a \cdot a}{x}}\\ \mathbf{elif}\;y \leq 2.1 \cdot 10^{+25}:\\ \;\;\;\;\frac{t + y \cdot 230661.510616}{y \cdot \left(y \cdot \left(y \cdot \left(y + a\right) + b\right) + c\right) + i}\\ \mathbf{else}:\\ \;\;\;\;\frac{z}{y} + \left(x - a \cdot \frac{x}{y}\right)\\ \end{array} \]

Alternative 9
Accuracy	74.8%
Cost	1616

\[\begin{array}{l} t_1 := \left(\frac{y}{\frac{a}{x}} + \frac{z}{a}\right) - \frac{b}{\frac{a \cdot a}{x}}\\ \mathbf{if}\;y \leq -1.6 \cdot 10^{+75}:\\ \;\;\;\;x + \frac{z}{y}\\ \mathbf{elif}\;y \leq -1.82 \cdot 10^{+28}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 110000000:\\ \;\;\;\;\frac{t + y \cdot 230661.510616}{i + y \cdot \left(c + y \cdot b\right)}\\ \mathbf{elif}\;y \leq 1.1 \cdot 10^{+83}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;\frac{z}{y} + \left(x - a \cdot \frac{x}{y}\right)\\ \end{array} \]

Alternative 10
Accuracy	73.8%
Cost	1484

\[\begin{array}{l} \mathbf{if}\;y \leq -1.45 \cdot 10^{+75}:\\ \;\;\;\;x + \frac{z}{y}\\ \mathbf{elif}\;y \leq -5.5 \cdot 10^{+27}:\\ \;\;\;\;\left(\frac{y}{\frac{a}{x}} + \frac{z}{a}\right) - \frac{b}{\frac{a \cdot a}{x}}\\ \mathbf{elif}\;y \leq 1.15 \cdot 10^{+24}:\\ \;\;\;\;\frac{t + y \cdot \left(230661.510616 + z \cdot \left(y \cdot y\right)\right)}{i + y \cdot c}\\ \mathbf{else}:\\ \;\;\;\;\frac{z}{y} + \left(x - a \cdot \frac{x}{y}\right)\\ \end{array} \]

Alternative 11
Accuracy	74.3%
Cost	1224

\[\begin{array}{l} \mathbf{if}\;y \leq -4.2 \cdot 10^{+43}:\\ \;\;\;\;x + \frac{z}{y}\\ \mathbf{elif}\;y \leq 2.6 \cdot 10^{+25}:\\ \;\;\;\;\frac{t + y \cdot 230661.510616}{i + y \cdot \left(c + y \cdot b\right)}\\ \mathbf{else}:\\ \;\;\;\;\frac{z}{y} + \left(x - a \cdot \frac{x}{y}\right)\\ \end{array} \]

Alternative 12
Accuracy	65.2%
Cost	968

\[\begin{array}{l} \mathbf{if}\;y \leq -4.2 \cdot 10^{+43}:\\ \;\;\;\;x + \frac{z}{y}\\ \mathbf{elif}\;y \leq 1.4 \cdot 10^{+24}:\\ \;\;\;\;\frac{t}{i + y \cdot c}\\ \mathbf{else}:\\ \;\;\;\;\frac{z}{y} + \left(x - a \cdot \frac{x}{y}\right)\\ \end{array} \]

Alternative 13
Accuracy	71.0%
Cost	968

\[\begin{array}{l} \mathbf{if}\;y \leq -6 \cdot 10^{+43}:\\ \;\;\;\;x + \frac{z}{y}\\ \mathbf{elif}\;y \leq 2.6 \cdot 10^{+24}:\\ \;\;\;\;\frac{t + y \cdot 230661.510616}{i + y \cdot c}\\ \mathbf{else}:\\ \;\;\;\;\frac{z}{y} + \left(x - a \cdot \frac{x}{y}\right)\\ \end{array} \]

Alternative 14
Accuracy	57.9%
Cost	716

\[\begin{array}{l} t_1 := x + \frac{z}{y}\\ \mathbf{if}\;y \leq -9.5 \cdot 10^{+74}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -3.7 \cdot 10^{-42}:\\ \;\;\;\;\frac{y}{\frac{a}{x}}\\ \mathbf{elif}\;y \leq 1.65 \cdot 10^{+24}:\\ \;\;\;\;\frac{t}{i}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 15
Accuracy	57.8%
Cost	716

\[\begin{array}{l} t_1 := x + \frac{z}{y}\\ \mathbf{if}\;y \leq -9.5 \cdot 10^{+74}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -8.2 \cdot 10^{-42}:\\ \;\;\;\;\frac{x \cdot y}{a}\\ \mathbf{elif}\;y \leq 1.9 \cdot 10^{+24}:\\ \;\;\;\;\frac{t}{i}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 16
Accuracy	65.2%
Cost	713

\[\begin{array}{l} \mathbf{if}\;y \leq -4.2 \cdot 10^{+43} \lor \neg \left(y \leq 2.25 \cdot 10^{+24}\right):\\ \;\;\;\;x + \frac{z}{y}\\ \mathbf{else}:\\ \;\;\;\;\frac{t}{i + y \cdot c}\\ \end{array} \]

Alternative 17
Accuracy	57.8%
Cost	585

\[\begin{array}{l} \mathbf{if}\;y \leq -2.4 \cdot 10^{-22} \lor \neg \left(y \leq 3 \cdot 10^{+24}\right):\\ \;\;\;\;x + \frac{z}{y}\\ \mathbf{else}:\\ \;\;\;\;\frac{t}{i}\\ \end{array} \]

Alternative 18
Accuracy	51.0%
Cost	456

\[\begin{array}{l} \mathbf{if}\;y \leq -1.16 \cdot 10^{+48}:\\ \;\;\;\;x\\ \mathbf{elif}\;y \leq 60000000:\\ \;\;\;\;\frac{t}{i}\\ \mathbf{else}:\\ \;\;\;\;x\\ \end{array} \]

Alternative 19
Accuracy	26.2%
Cost	64

\[x \]

Reproduce

herbie shell --seed 2023165 
(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)))