\[z > 0.5\]

\[\left(\left(\sqrt{\pi \cdot 2} \cdot {\left(\left(\left(z - 1\right) + 7\right) + 0.5\right)}^{\left(\left(z - 1\right) + 0.5\right)}\right) \cdot e^{-\left(\left(\left(z - 1\right) + 7\right) + 0.5\right)}\right) \cdot \left(\left(\left(\left(\left(\left(\left(\left(0.9999999999998099 + \frac{676.5203681218851}{\left(z - 1\right) + 1}\right) + \frac{-1259.1392167224028}{\left(z - 1\right) + 2}\right) + \frac{771.3234287776531}{\left(z - 1\right) + 3}\right) + \frac{-176.6150291621406}{\left(z - 1\right) + 4}\right) + \frac{12.507343278686905}{\left(z - 1\right) + 5}\right) + \frac{-0.13857109526572012}{\left(z - 1\right) + 6}\right) + \frac{9.984369578019572 \cdot 10^{-6}}{\left(z - 1\right) + 7}\right) + \frac{1.5056327351493116 \cdot 10^{-7}}{\left(z - 1\right) + 8}\right) \]

↓

\[\begin{array}{l} t_0 := \frac{-676.5203681218851}{z} + \left(\frac{1259.1392167224028}{z + 1} + \frac{-771.3234287776531}{z + 2}\right)\\ t_1 := \sqrt{-6.5 - \mathsf{fma}\left(0.5 - z, \log \left(z + 6.5\right), z\right)}\\ \mathbf{if}\;z + -1 \leq 140:\\ \;\;\;\;\sqrt{\pi \cdot 2} \cdot \left(\left(\frac{0.9999999999996197 + \left(\frac{676.5203681218851}{z} + \left(\frac{-1259.1392167224028}{z + 1} + \frac{771.3234287776531}{z + 2}\right)\right) \cdot t_0}{0.9999999999998099 + t_0} + \left(\frac{-176.6150291621406}{z + 3} + \left(\left(\frac{-0.13857109526572012}{z + 5} + \left(\frac{12.507343278686905}{z + 4} + \frac{9.984369578019572 \cdot 10^{-6}}{z + 6}\right)\right) + \frac{1.5056327351493116 \cdot 10^{-7}}{z + 7}\right)\right)\right) \cdot \frac{e^{-6.5 - z}}{{\left(z + 6.5\right)}^{\left(0.5 - z\right)}}\right)\\ \mathbf{else}:\\ \;\;\;\;\left(\sqrt{2} \cdot \left(\sqrt{\pi} \cdot {\left(e^{t_1}\right)}^{t_1}\right)\right) \cdot \left(\left(\left(\left(\left(\left(\left(\left(0.9999999999998099 + \frac{676.5203681218851}{1 + \left(z + -1\right)}\right) + \frac{-1259.1392167224028}{\left(z + -1\right) + 2}\right) + \frac{771.3234287776531}{\left(z + -1\right) + 3}\right) + \frac{-176.6150291621406}{\left(z + -1\right) + 4}\right) + \frac{12.507343278686905}{\left(z + -1\right) + 5}\right) + \frac{-0.13857109526572012}{\left(z + -1\right) + 6}\right) + \frac{9.984369578019572 \cdot 10^{-6}}{\left(z + -1\right) + 7}\right) + \frac{1.5056327351493116 \cdot 10^{-7}}{\left(z + -1\right) + 8}\right)\\ \end{array} \]

(FPCore (z)
 :precision binary64
 (*
  (*
   (* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)))
   (exp (- (+ (+ (- z 1.0) 7.0) 0.5))))
  (+
   (+
    (+
     (+
      (+
       (+
        (+
         (+ 0.9999999999998099 (/ 676.5203681218851 (+ (- z 1.0) 1.0)))
         (/ -1259.1392167224028 (+ (- z 1.0) 2.0)))
        (/ 771.3234287776531 (+ (- z 1.0) 3.0)))
       (/ -176.6150291621406 (+ (- z 1.0) 4.0)))
      (/ 12.507343278686905 (+ (- z 1.0) 5.0)))
     (/ -0.13857109526572012 (+ (- z 1.0) 6.0)))
    (/ 9.984369578019572e-6 (+ (- z 1.0) 7.0)))
   (/ 1.5056327351493116e-7 (+ (- z 1.0) 8.0)))))

↓

(FPCore (z)
 :precision binary64
 (let* ((t_0
         (+
          (/ -676.5203681218851 z)
          (+
           (/ 1259.1392167224028 (+ z 1.0))
           (/ -771.3234287776531 (+ z 2.0)))))
        (t_1 (sqrt (- -6.5 (fma (- 0.5 z) (log (+ z 6.5)) z)))))
   (if (<= (+ z -1.0) 140.0)
     (*
      (sqrt (* PI 2.0))
      (*
       (+
        (/
         (+
          0.9999999999996197
          (*
           (+
            (/ 676.5203681218851 z)
            (+
             (/ -1259.1392167224028 (+ z 1.0))
             (/ 771.3234287776531 (+ z 2.0))))
           t_0))
         (+ 0.9999999999998099 t_0))
        (+
         (/ -176.6150291621406 (+ z 3.0))
         (+
          (+
           (/ -0.13857109526572012 (+ z 5.0))
           (+
            (/ 12.507343278686905 (+ z 4.0))
            (/ 9.984369578019572e-6 (+ z 6.0))))
          (/ 1.5056327351493116e-7 (+ z 7.0)))))
       (/ (exp (- -6.5 z)) (pow (+ z 6.5) (- 0.5 z)))))
     (*
      (* (sqrt 2.0) (* (sqrt PI) (pow (exp t_1) t_1)))
      (+
       (+
        (+
         (+
          (+
           (+
            (+
             (+ 0.9999999999998099 (/ 676.5203681218851 (+ 1.0 (+ z -1.0))))
             (/ -1259.1392167224028 (+ (+ z -1.0) 2.0)))
            (/ 771.3234287776531 (+ (+ z -1.0) 3.0)))
           (/ -176.6150291621406 (+ (+ z -1.0) 4.0)))
          (/ 12.507343278686905 (+ (+ z -1.0) 5.0)))
         (/ -0.13857109526572012 (+ (+ z -1.0) 6.0)))
        (/ 9.984369578019572e-6 (+ (+ z -1.0) 7.0)))
       (/ 1.5056327351493116e-7 (+ (+ z -1.0) 8.0)))))))

double code(double z) {
	return ((sqrt((((double) M_PI) * 2.0)) * pow((((z - 1.0) + 7.0) + 0.5), ((z - 1.0) + 0.5))) * exp(-(((z - 1.0) + 7.0) + 0.5))) * ((((((((0.9999999999998099 + (676.5203681218851 / ((z - 1.0) + 1.0))) + (-1259.1392167224028 / ((z - 1.0) + 2.0))) + (771.3234287776531 / ((z - 1.0) + 3.0))) + (-176.6150291621406 / ((z - 1.0) + 4.0))) + (12.507343278686905 / ((z - 1.0) + 5.0))) + (-0.13857109526572012 / ((z - 1.0) + 6.0))) + (9.984369578019572e-6 / ((z - 1.0) + 7.0))) + (1.5056327351493116e-7 / ((z - 1.0) + 8.0)));
}

↓

double code(double z) {
	double t_0 = (-676.5203681218851 / z) + ((1259.1392167224028 / (z + 1.0)) + (-771.3234287776531 / (z + 2.0)));
	double t_1 = sqrt((-6.5 - fma((0.5 - z), log((z + 6.5)), z)));
	double tmp;
	if ((z + -1.0) <= 140.0) {
		tmp = sqrt((((double) M_PI) * 2.0)) * ((((0.9999999999996197 + (((676.5203681218851 / z) + ((-1259.1392167224028 / (z + 1.0)) + (771.3234287776531 / (z + 2.0)))) * t_0)) / (0.9999999999998099 + t_0)) + ((-176.6150291621406 / (z + 3.0)) + (((-0.13857109526572012 / (z + 5.0)) + ((12.507343278686905 / (z + 4.0)) + (9.984369578019572e-6 / (z + 6.0)))) + (1.5056327351493116e-7 / (z + 7.0))))) * (exp((-6.5 - z)) / pow((z + 6.5), (0.5 - z))));
	} else {
		tmp = (sqrt(2.0) * (sqrt(((double) M_PI)) * pow(exp(t_1), t_1))) * ((((((((0.9999999999998099 + (676.5203681218851 / (1.0 + (z + -1.0)))) + (-1259.1392167224028 / ((z + -1.0) + 2.0))) + (771.3234287776531 / ((z + -1.0) + 3.0))) + (-176.6150291621406 / ((z + -1.0) + 4.0))) + (12.507343278686905 / ((z + -1.0) + 5.0))) + (-0.13857109526572012 / ((z + -1.0) + 6.0))) + (9.984369578019572e-6 / ((z + -1.0) + 7.0))) + (1.5056327351493116e-7 / ((z + -1.0) + 8.0)));
	}
	return tmp;
}

function code(z)
	return Float64(Float64(Float64(sqrt(Float64(pi * 2.0)) * (Float64(Float64(Float64(z - 1.0) + 7.0) + 0.5) ^ Float64(Float64(z - 1.0) + 0.5))) * exp(Float64(-Float64(Float64(Float64(z - 1.0) + 7.0) + 0.5)))) * Float64(Float64(Float64(Float64(Float64(Float64(Float64(Float64(0.9999999999998099 + Float64(676.5203681218851 / Float64(Float64(z - 1.0) + 1.0))) + Float64(-1259.1392167224028 / Float64(Float64(z - 1.0) + 2.0))) + Float64(771.3234287776531 / Float64(Float64(z - 1.0) + 3.0))) + Float64(-176.6150291621406 / Float64(Float64(z - 1.0) + 4.0))) + Float64(12.507343278686905 / Float64(Float64(z - 1.0) + 5.0))) + Float64(-0.13857109526572012 / Float64(Float64(z - 1.0) + 6.0))) + Float64(9.984369578019572e-6 / Float64(Float64(z - 1.0) + 7.0))) + Float64(1.5056327351493116e-7 / Float64(Float64(z - 1.0) + 8.0))))
end

↓

function code(z)
	t_0 = Float64(Float64(-676.5203681218851 / z) + Float64(Float64(1259.1392167224028 / Float64(z + 1.0)) + Float64(-771.3234287776531 / Float64(z + 2.0))))
	t_1 = sqrt(Float64(-6.5 - fma(Float64(0.5 - z), log(Float64(z + 6.5)), z)))
	tmp = 0.0
	if (Float64(z + -1.0) <= 140.0)
		tmp = Float64(sqrt(Float64(pi * 2.0)) * Float64(Float64(Float64(Float64(0.9999999999996197 + Float64(Float64(Float64(676.5203681218851 / z) + Float64(Float64(-1259.1392167224028 / Float64(z + 1.0)) + Float64(771.3234287776531 / Float64(z + 2.0)))) * t_0)) / Float64(0.9999999999998099 + t_0)) + Float64(Float64(-176.6150291621406 / Float64(z + 3.0)) + Float64(Float64(Float64(-0.13857109526572012 / Float64(z + 5.0)) + Float64(Float64(12.507343278686905 / Float64(z + 4.0)) + Float64(9.984369578019572e-6 / Float64(z + 6.0)))) + Float64(1.5056327351493116e-7 / Float64(z + 7.0))))) * Float64(exp(Float64(-6.5 - z)) / (Float64(z + 6.5) ^ Float64(0.5 - z)))));
	else
		tmp = Float64(Float64(sqrt(2.0) * Float64(sqrt(pi) * (exp(t_1) ^ t_1))) * Float64(Float64(Float64(Float64(Float64(Float64(Float64(Float64(0.9999999999998099 + Float64(676.5203681218851 / Float64(1.0 + Float64(z + -1.0)))) + Float64(-1259.1392167224028 / Float64(Float64(z + -1.0) + 2.0))) + Float64(771.3234287776531 / Float64(Float64(z + -1.0) + 3.0))) + Float64(-176.6150291621406 / Float64(Float64(z + -1.0) + 4.0))) + Float64(12.507343278686905 / Float64(Float64(z + -1.0) + 5.0))) + Float64(-0.13857109526572012 / Float64(Float64(z + -1.0) + 6.0))) + Float64(9.984369578019572e-6 / Float64(Float64(z + -1.0) + 7.0))) + Float64(1.5056327351493116e-7 / Float64(Float64(z + -1.0) + 8.0))));
	end
	return tmp
end

code[z_] := N[(N[(N[(N[Sqrt[N[(Pi * 2.0), $MachinePrecision]], $MachinePrecision] * N[Power[N[(N[(N[(z - 1.0), $MachinePrecision] + 7.0), $MachinePrecision] + 0.5), $MachinePrecision], N[(N[(z - 1.0), $MachinePrecision] + 0.5), $MachinePrecision]], $MachinePrecision]), $MachinePrecision] * N[Exp[(-N[(N[(N[(z - 1.0), $MachinePrecision] + 7.0), $MachinePrecision] + 0.5), $MachinePrecision])], $MachinePrecision]), $MachinePrecision] * N[(N[(N[(N[(N[(N[(N[(N[(0.9999999999998099 + N[(676.5203681218851 / N[(N[(z - 1.0), $MachinePrecision] + 1.0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(-1259.1392167224028 / N[(N[(z - 1.0), $MachinePrecision] + 2.0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(771.3234287776531 / N[(N[(z - 1.0), $MachinePrecision] + 3.0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(-176.6150291621406 / N[(N[(z - 1.0), $MachinePrecision] + 4.0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(12.507343278686905 / N[(N[(z - 1.0), $MachinePrecision] + 5.0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(-0.13857109526572012 / N[(N[(z - 1.0), $MachinePrecision] + 6.0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(9.984369578019572e-6 / N[(N[(z - 1.0), $MachinePrecision] + 7.0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(1.5056327351493116e-7 / N[(N[(z - 1.0), $MachinePrecision] + 8.0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]

↓

code[z_] := Block[{t$95$0 = N[(N[(-676.5203681218851 / z), $MachinePrecision] + N[(N[(1259.1392167224028 / N[(z + 1.0), $MachinePrecision]), $MachinePrecision] + N[(-771.3234287776531 / N[(z + 2.0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$1 = N[Sqrt[N[(-6.5 - N[(N[(0.5 - z), $MachinePrecision] * N[Log[N[(z + 6.5), $MachinePrecision]], $MachinePrecision] + z), $MachinePrecision]), $MachinePrecision]], $MachinePrecision]}, If[LessEqual[N[(z + -1.0), $MachinePrecision], 140.0], N[(N[Sqrt[N[(Pi * 2.0), $MachinePrecision]], $MachinePrecision] * N[(N[(N[(N[(0.9999999999996197 + N[(N[(N[(676.5203681218851 / z), $MachinePrecision] + N[(N[(-1259.1392167224028 / N[(z + 1.0), $MachinePrecision]), $MachinePrecision] + N[(771.3234287776531 / N[(z + 2.0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] * t$95$0), $MachinePrecision]), $MachinePrecision] / N[(0.9999999999998099 + t$95$0), $MachinePrecision]), $MachinePrecision] + N[(N[(-176.6150291621406 / N[(z + 3.0), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(-0.13857109526572012 / N[(z + 5.0), $MachinePrecision]), $MachinePrecision] + N[(N[(12.507343278686905 / N[(z + 4.0), $MachinePrecision]), $MachinePrecision] + N[(9.984369578019572e-6 / N[(z + 6.0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(1.5056327351493116e-7 / N[(z + 7.0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] * N[(N[Exp[N[(-6.5 - z), $MachinePrecision]], $MachinePrecision] / N[Power[N[(z + 6.5), $MachinePrecision], N[(0.5 - z), $MachinePrecision]], $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(N[(N[Sqrt[2.0], $MachinePrecision] * N[(N[Sqrt[Pi], $MachinePrecision] * N[Power[N[Exp[t$95$1], $MachinePrecision], t$95$1], $MachinePrecision]), $MachinePrecision]), $MachinePrecision] * N[(N[(N[(N[(N[(N[(N[(N[(0.9999999999998099 + N[(676.5203681218851 / N[(1.0 + N[(z + -1.0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(-1259.1392167224028 / N[(N[(z + -1.0), $MachinePrecision] + 2.0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(771.3234287776531 / N[(N[(z + -1.0), $MachinePrecision] + 3.0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(-176.6150291621406 / N[(N[(z + -1.0), $MachinePrecision] + 4.0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(12.507343278686905 / N[(N[(z + -1.0), $MachinePrecision] + 5.0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(-0.13857109526572012 / N[(N[(z + -1.0), $MachinePrecision] + 6.0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(9.984369578019572e-6 / N[(N[(z + -1.0), $MachinePrecision] + 7.0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(1.5056327351493116e-7 / N[(N[(z + -1.0), $MachinePrecision] + 8.0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]

\left(\left(\sqrt{\pi \cdot 2} \cdot {\left(\left(\left(z - 1\right) + 7\right) + 0.5\right)}^{\left(\left(z - 1\right) + 0.5\right)}\right) \cdot e^{-\left(\left(\left(z - 1\right) + 7\right) + 0.5\right)}\right) \cdot \left(\left(\left(\left(\left(\left(\left(\left(0.9999999999998099 + \frac{676.5203681218851}{\left(z - 1\right) + 1}\right) + \frac{-1259.1392167224028}{\left(z - 1\right) + 2}\right) + \frac{771.3234287776531}{\left(z - 1\right) + 3}\right) + \frac{-176.6150291621406}{\left(z - 1\right) + 4}\right) + \frac{12.507343278686905}{\left(z - 1\right) + 5}\right) + \frac{-0.13857109526572012}{\left(z - 1\right) + 6}\right) + \frac{9.984369578019572 \cdot 10^{-6}}{\left(z - 1\right) + 7}\right) + \frac{1.5056327351493116 \cdot 10^{-7}}{\left(z - 1\right) + 8}\right)

↓

\begin{array}{l}
t_0 := \frac{-676.5203681218851}{z} + \left(\frac{1259.1392167224028}{z + 1} + \frac{-771.3234287776531}{z + 2}\right)\\
t_1 := \sqrt{-6.5 - \mathsf{fma}\left(0.5 - z, \log \left(z + 6.5\right), z\right)}\\
\mathbf{if}\;z + -1 \leq 140:\\
\;\;\;\;\sqrt{\pi \cdot 2} \cdot \left(\left(\frac{0.9999999999996197 + \left(\frac{676.5203681218851}{z} + \left(\frac{-1259.1392167224028}{z + 1} + \frac{771.3234287776531}{z + 2}\right)\right) \cdot t_0}{0.9999999999998099 + t_0} + \left(\frac{-176.6150291621406}{z + 3} + \left(\left(\frac{-0.13857109526572012}{z + 5} + \left(\frac{12.507343278686905}{z + 4} + \frac{9.984369578019572 \cdot 10^{-6}}{z + 6}\right)\right) + \frac{1.5056327351493116 \cdot 10^{-7}}{z + 7}\right)\right)\right) \cdot \frac{e^{-6.5 - z}}{{\left(z + 6.5\right)}^{\left(0.5 - z\right)}}\right)\\

\mathbf{else}:\\
\;\;\;\;\left(\sqrt{2} \cdot \left(\sqrt{\pi} \cdot {\left(e^{t_1}\right)}^{t_1}\right)\right) \cdot \left(\left(\left(\left(\left(\left(\left(\left(0.9999999999998099 + \frac{676.5203681218851}{1 + \left(z + -1\right)}\right) + \frac{-1259.1392167224028}{\left(z + -1\right) + 2}\right) + \frac{771.3234287776531}{\left(z + -1\right) + 3}\right) + \frac{-176.6150291621406}{\left(z + -1\right) + 4}\right) + \frac{12.507343278686905}{\left(z + -1\right) + 5}\right) + \frac{-0.13857109526572012}{\left(z + -1\right) + 6}\right) + \frac{9.984369578019572 \cdot 10^{-6}}{\left(z + -1\right) + 7}\right) + \frac{1.5056327351493116 \cdot 10^{-7}}{\left(z + -1\right) + 8}\right)\\


\end{array}

Derivation

Split input into 2 regimes
if (-.f64 z 1) < 140
1. Initial program 2.2
  \[\left(\left(\sqrt{\pi \cdot 2} \cdot {\left(\left(\left(z - 1\right) + 7\right) + 0.5\right)}^{\left(\left(z - 1\right) + 0.5\right)}\right) \cdot e^{-\left(\left(\left(z - 1\right) + 7\right) + 0.5\right)}\right) \cdot \left(\left(\left(\left(\left(\left(\left(\left(0.9999999999998099 + \frac{676.5203681218851}{\left(z - 1\right) + 1}\right) + \frac{-1259.1392167224028}{\left(z - 1\right) + 2}\right) + \frac{771.3234287776531}{\left(z - 1\right) + 3}\right) + \frac{-176.6150291621406}{\left(z - 1\right) + 4}\right) + \frac{12.507343278686905}{\left(z - 1\right) + 5}\right) + \frac{-0.13857109526572012}{\left(z - 1\right) + 6}\right) + \frac{9.984369578019572 \cdot 10^{-6}}{\left(z - 1\right) + 7}\right) + \frac{1.5056327351493116 \cdot 10^{-7}}{\left(z - 1\right) + 8}\right) \]
2. Simplified2.2
  \[\leadsto \color{blue}{\sqrt{\pi \cdot 2} \cdot \left(\left(\left(\left(0.9999999999998099 + \frac{676.5203681218851}{z}\right) + \left(\frac{-1259.1392167224028}{z + 1} + \frac{771.3234287776531}{2 + z}\right)\right) + \left(\frac{-176.6150291621406}{z + 3} + \left(\left(\frac{-0.13857109526572012}{z + 5} + \left(\frac{12.507343278686905}{z - -4} + \frac{9.984369578019572 \cdot 10^{-6}}{z + 6}\right)\right) + \frac{1.5056327351493116 \cdot 10^{-7}}{z + 7}\right)\right)\right) \cdot \frac{{\left(z + 6.5\right)}^{\left(z + -0.5\right)}}{e^{z + 6.5}}\right)} \]
  Proof
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (Rewrite<= --rgt-identity_binary64 (-.f64 z 0)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 z (Rewrite<= metadata-eval (-.f64 1 1))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (Rewrite<= associate-+l-_binary64 (+.f64 (-.f64 z 1) 1)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z (Rewrite<= metadata-eval (neg.f64 -1)))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (+.f64 (/.f64 -3147848041806007/2500000000000 (Rewrite<= sub-neg_binary64 (-.f64 z -1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z (Rewrite<= metadata-eval (-.f64 1 2)))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (+.f64 (/.f64 -3147848041806007/2500000000000 (Rewrite<= associate-+l-_binary64 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2)) (/.f64 7713234287776531/10000000000000 (Rewrite=> +-commutative_binary64 (+.f64 z 2))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2)) (/.f64 7713234287776531/10000000000000 (+.f64 z (Rewrite<= metadata-eval (+.f64 -1 3)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2)) (/.f64 7713234287776531/10000000000000 (Rewrite<= associate-+l+_binary64 (+.f64 (+.f64 z -1) 3))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2)) (/.f64 7713234287776531/10000000000000 (+.f64 (+.f64 z (Rewrite<= metadata-eval (neg.f64 1))) 3)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2)) (/.f64 7713234287776531/10000000000000 (+.f64 (Rewrite<= sub-neg_binary64 (-.f64 z 1)) 3)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (Rewrite<= associate-+l+_binary64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))): 4 points increase in error, 5 points decrease in error
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z (Rewrite<= metadata-eval (neg.f64 -3)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z (neg.f64 (Rewrite<= metadata-eval (-.f64 1 4))))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (+.f64 (/.f64 -883075145810703/5000000000000 (Rewrite<= sub-neg_binary64 (-.f64 z (-.f64 1 4)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (+.f64 (/.f64 -883075145810703/5000000000000 (Rewrite<= associate-+l-_binary64 (+.f64 (-.f64 z 1) 4))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z (Rewrite<= metadata-eval (neg.f64 -5)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z (neg.f64 (Rewrite<= metadata-eval (-.f64 1 6))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (Rewrite<= sub-neg_binary64 (-.f64 z (-.f64 1 6)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (Rewrite<= associate-+l-_binary64 (+.f64 (-.f64 z 1) 6))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z (Rewrite<= metadata-eval (-.f64 1 5)))) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6)) (+.f64 (/.f64 2501468655737381/200000000000000 (Rewrite<= associate-+l-_binary64 (+.f64 (-.f64 z 1) 5))) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z (Rewrite<= metadata-eval (neg.f64 -6)))))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z (neg.f64 (Rewrite<= metadata-eval (-.f64 1 7))))))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5)) (/.f64 2496092394504893/250000000000000000000 (Rewrite<= sub-neg_binary64 (-.f64 z (-.f64 1 7)))))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5)) (/.f64 2496092394504893/250000000000000000000 (Rewrite<= associate-+l-_binary64 (+.f64 (-.f64 z 1) 7))))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4)) (+.f64 (Rewrite<= associate-+l+_binary64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4)) (+.f64 (+.f64 (Rewrite<= +-commutative_binary64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6)))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z (Rewrite<= metadata-eval (neg.f64 -7))))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z (neg.f64 (Rewrite<= metadata-eval (-.f64 1 8)))))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (Rewrite<= sub-neg_binary64 (-.f64 z (-.f64 1 8))))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (Rewrite<= associate-+l-_binary64 (+.f64 (-.f64 z 1) 8)))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4)) (Rewrite<= associate-+r+_binary64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))): 5 points increase in error, 2 points decrease in error
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (Rewrite<= associate-+l+_binary64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))): 41 points increase in error, 42 points decrease in error
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (Rewrite<= associate-+l+_binary64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))): 33 points increase in error, 27 points decrease in error
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (Rewrite<= associate-+l+_binary64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))): 29 points increase in error, 28 points decrease in error
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (Rewrite<= associate-+l+_binary64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))): 27 points increase in error, 19 points decrease in error
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))) (/.f64 (pow.f64 (+.f64 z (Rewrite<= metadata-eval (+.f64 -1 15/2))) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))) (/.f64 (pow.f64 (+.f64 z (+.f64 -1 (Rewrite<= metadata-eval (+.f64 7 1/2)))) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))) (/.f64 (pow.f64 (Rewrite<= associate-+l+_binary64 (+.f64 (+.f64 z -1) (+.f64 7 1/2))) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))) (/.f64 (pow.f64 (+.f64 (+.f64 z (Rewrite<= metadata-eval (neg.f64 1))) (+.f64 7 1/2)) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))) (/.f64 (pow.f64 (+.f64 (Rewrite<= sub-neg_binary64 (-.f64 z 1)) (+.f64 7 1/2)) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))) (/.f64 (pow.f64 (Rewrite<= associate-+l+_binary64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))): 2 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))) (/.f64 (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 z (Rewrite<= metadata-eval (neg.f64 1/2)))) (exp.f64 (+.f64 z 13/2))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))) (/.f64 (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (Rewrite<= sub-neg_binary64 (-.f64 z 1/2))) (exp.f64 (+.f64 z 13/2))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))) (/.f64 (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (-.f64 z (Rewrite<= metadata-eval (-.f64 1 1/2)))) (exp.f64 (+.f64 z 13/2))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))) (/.f64 (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (Rewrite<= associate-+l-_binary64 (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (+.f64 z 13/2))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))) (/.f64 (Rewrite<= *-rgt-identity_binary64 (*.f64 (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2)) 1)) (exp.f64 (+.f64 z 13/2))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))) (/.f64 (*.f64 (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2)) 1) (exp.f64 (+.f64 z (Rewrite<= metadata-eval (+.f64 -1 15/2))))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))) (/.f64 (*.f64 (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2)) 1) (exp.f64 (+.f64 z (+.f64 -1 (Rewrite<= metadata-eval (+.f64 7 1/2)))))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))) (/.f64 (*.f64 (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2)) 1) (exp.f64 (Rewrite<= associate-+l+_binary64 (+.f64 (+.f64 z -1) (+.f64 7 1/2))))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))) (/.f64 (*.f64 (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2)) 1) (exp.f64 (+.f64 (+.f64 z (Rewrite<= metadata-eval (neg.f64 1))) (+.f64 7 1/2)))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))) (/.f64 (*.f64 (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2)) 1) (exp.f64 (+.f64 (Rewrite<= sub-neg_binary64 (-.f64 z 1)) (+.f64 7 1/2)))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))) (/.f64 (*.f64 (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2)) 1) (exp.f64 (Rewrite<= associate-+l+_binary64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))))): 0 points increase in error, 2 points decrease in error
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))) (Rewrite<= associate-*r/_binary64 (*.f64 (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2)) (/.f64 1 (exp.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2))))))): 30 points increase in error, 33 points decrease in error
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))) (*.f64 (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2)) (Rewrite<= exp-neg_binary64 (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2))))))): 20 points increase in error, 23 points decrease in error
  (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (Rewrite<= *-commutative_binary64 (*.f64 (*.f64 (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2)) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))))): 0 points increase in error, 0 points decrease in error
  (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2)) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))): 43 points increase in error, 47 points decrease in error
  (*.f64 (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))): 39 points increase in error, 37 points decrease in error
3. Applied egg-rr2.4
  \[\leadsto \sqrt{\pi \cdot 2} \cdot \left(\left(\left(\left(0.9999999999998099 + \frac{676.5203681218851}{z}\right) + \left(\frac{-1259.1392167224028}{z + 1} + \frac{771.3234287776531}{2 + z}\right)\right) + \left(\frac{-176.6150291621406}{z + 3} + \left(\left(\frac{-0.13857109526572012}{z + 5} + \left(\frac{12.507343278686905}{z - -4} + \frac{9.984369578019572 \cdot 10^{-6}}{z + 6}\right)\right) + \frac{1.5056327351493116 \cdot 10^{-7}}{z + 7}\right)\right)\right) \cdot \frac{{\left(z + 6.5\right)}^{\left(z + -0.5\right)}}{\color{blue}{\mathsf{expm1}\left(\mathsf{log1p}\left(e^{z + 6.5}\right)\right)}}\right) \]
4. Applied egg-rr3.5
  \[\leadsto \sqrt{\pi \cdot 2} \cdot \left(\left(\left(\left(0.9999999999998099 + \frac{676.5203681218851}{z}\right) + \left(\frac{-1259.1392167224028}{z + 1} + \frac{771.3234287776531}{2 + z}\right)\right) + \left(\frac{-176.6150291621406}{z + 3} + \left(\left(\frac{-0.13857109526572012}{z + 5} + \left(\frac{12.507343278686905}{z - -4} + \frac{9.984369578019572 \cdot 10^{-6}}{z + 6}\right)\right) + \frac{1.5056327351493116 \cdot 10^{-7}}{z + 7}\right)\right)\right) \cdot \color{blue}{e^{\mathsf{fma}\left(z + -0.5, \log \left(z + 6.5\right), \left(-z\right) - 6.5\right)}}\right) \]
5. Applied egg-rr3.5
  \[\leadsto \sqrt{\pi \cdot 2} \cdot \left(\left(\color{blue}{\frac{0.9999999999996197 - \left(\frac{676.5203681218851}{z} + \left(\frac{-1259.1392167224028}{z + 1} + \frac{771.3234287776531}{z + 2}\right)\right) \cdot \left(\frac{676.5203681218851}{z} + \left(\frac{-1259.1392167224028}{z + 1} + \frac{771.3234287776531}{z + 2}\right)\right)}{0.9999999999998099 - \left(\frac{676.5203681218851}{z} + \left(\frac{-1259.1392167224028}{z + 1} + \frac{771.3234287776531}{z + 2}\right)\right)}} + \left(\frac{-176.6150291621406}{z + 3} + \left(\left(\frac{-0.13857109526572012}{z + 5} + \left(\frac{12.507343278686905}{z - -4} + \frac{9.984369578019572 \cdot 10^{-6}}{z + 6}\right)\right) + \frac{1.5056327351493116 \cdot 10^{-7}}{z + 7}\right)\right)\right) \cdot e^{\mathsf{fma}\left(z + -0.5, \log \left(z + 6.5\right), \left(-z\right) - 6.5\right)}\right) \]
6. Taylor expanded in z around inf 3.5
  \[\leadsto \sqrt{\pi \cdot 2} \cdot \left(\left(\frac{0.9999999999996197 - \left(\frac{676.5203681218851}{z} + \left(\frac{-1259.1392167224028}{z + 1} + \frac{771.3234287776531}{z + 2}\right)\right) \cdot \left(\frac{676.5203681218851}{z} + \left(\frac{-1259.1392167224028}{z + 1} + \frac{771.3234287776531}{z + 2}\right)\right)}{0.9999999999998099 - \left(\frac{676.5203681218851}{z} + \left(\frac{-1259.1392167224028}{z + 1} + \frac{771.3234287776531}{z + 2}\right)\right)} + \left(\frac{-176.6150291621406}{z + 3} + \left(\left(\frac{-0.13857109526572012}{z + 5} + \left(\frac{12.507343278686905}{z - -4} + \frac{9.984369578019572 \cdot 10^{-6}}{z + 6}\right)\right) + \frac{1.5056327351493116 \cdot 10^{-7}}{z + 7}\right)\right)\right) \cdot \color{blue}{e^{\mathsf{fma}\left(z - 0.5, \log \left(6.5 + z\right), -\left(6.5 + z\right)\right)}}\right) \]
7. Simplified2.2
  \[\leadsto \sqrt{\pi \cdot 2} \cdot \left(\left(\frac{0.9999999999996197 - \left(\frac{676.5203681218851}{z} + \left(\frac{-1259.1392167224028}{z + 1} + \frac{771.3234287776531}{z + 2}\right)\right) \cdot \left(\frac{676.5203681218851}{z} + \left(\frac{-1259.1392167224028}{z + 1} + \frac{771.3234287776531}{z + 2}\right)\right)}{0.9999999999998099 - \left(\frac{676.5203681218851}{z} + \left(\frac{-1259.1392167224028}{z + 1} + \frac{771.3234287776531}{z + 2}\right)\right)} + \left(\frac{-176.6150291621406}{z + 3} + \left(\left(\frac{-0.13857109526572012}{z + 5} + \left(\frac{12.507343278686905}{z - -4} + \frac{9.984369578019572 \cdot 10^{-6}}{z + 6}\right)\right) + \frac{1.5056327351493116 \cdot 10^{-7}}{z + 7}\right)\right)\right) \cdot \color{blue}{\frac{e^{-6.5 - z}}{{\left(6.5 + z\right)}^{\left(0.5 - z\right)}}}\right) \]
  Proof
  (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z))): 0 points increase in error, 0 points decrease in error
  (/.f64 (exp.f64 (-.f64 (Rewrite<= metadata-eval (neg.f64 13/2)) z)) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z))): 0 points increase in error, 0 points decrease in error
  (/.f64 (exp.f64 (Rewrite<= unsub-neg_binary64 (+.f64 (neg.f64 13/2) (neg.f64 z)))) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z))): 0 points increase in error, 0 points decrease in error
  (/.f64 (exp.f64 (Rewrite<= distribute-neg-in_binary64 (neg.f64 (+.f64 13/2 z)))) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z))): 0 points increase in error, 0 points decrease in error
  (/.f64 (exp.f64 (neg.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (Rewrite<= unsub-neg_binary64 (+.f64 1/2 (neg.f64 z))))): 0 points increase in error, 0 points decrease in error
  (/.f64 (exp.f64 (neg.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (+.f64 1/2 (Rewrite<= mul-1-neg_binary64 (*.f64 -1 z))))): 0 points increase in error, 0 points decrease in error
  (/.f64 (exp.f64 (neg.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (Rewrite<= +-commutative_binary64 (+.f64 (*.f64 -1 z) 1/2)))): 0 points increase in error, 0 points decrease in error
  (/.f64 (exp.f64 (neg.f64 (+.f64 13/2 z))) (Rewrite<= exp-to-pow_binary64 (exp.f64 (*.f64 (log.f64 (+.f64 13/2 z)) (+.f64 (*.f64 -1 z) 1/2))))): 107 points increase in error, 92 points decrease in error
  (/.f64 (exp.f64 (neg.f64 (+.f64 13/2 z))) (exp.f64 (Rewrite<= *-commutative_binary64 (*.f64 (+.f64 (*.f64 -1 z) 1/2) (log.f64 (+.f64 13/2 z)))))): 0 points increase in error, 0 points decrease in error
  (/.f64 (exp.f64 (neg.f64 (+.f64 13/2 z))) (exp.f64 (*.f64 (+.f64 (*.f64 -1 z) 1/2) (log.f64 (+.f64 13/2 (Rewrite<= remove-double-neg_binary64 (neg.f64 (neg.f64 z)))))))): 0 points increase in error, 0 points decrease in error
  (/.f64 (exp.f64 (neg.f64 (+.f64 13/2 z))) (exp.f64 (*.f64 (+.f64 (*.f64 -1 z) 1/2) (log.f64 (+.f64 13/2 (neg.f64 (Rewrite<= mul-1-neg_binary64 (*.f64 -1 z)))))))): 0 points increase in error, 0 points decrease in error
  (/.f64 (exp.f64 (neg.f64 (+.f64 13/2 z))) (exp.f64 (*.f64 (+.f64 (*.f64 -1 z) 1/2) (log.f64 (Rewrite<= sub-neg_binary64 (-.f64 13/2 (*.f64 -1 z))))))): 0 points increase in error, 0 points decrease in error
  (Rewrite<= exp-diff_binary64 (exp.f64 (-.f64 (neg.f64 (+.f64 13/2 z)) (*.f64 (+.f64 (*.f64 -1 z) 1/2) (log.f64 (-.f64 13/2 (*.f64 -1 z))))))): 72 points increase in error, 82 points decrease in error
  (exp.f64 (-.f64 (neg.f64 (+.f64 13/2 z)) (*.f64 (+.f64 (*.f64 -1 z) 1/2) (log.f64 (Rewrite=> cancel-sign-sub-inv_binary64 (+.f64 13/2 (*.f64 (neg.f64 -1) z))))))): 0 points increase in error, 0 points decrease in error
  (exp.f64 (-.f64 (neg.f64 (+.f64 13/2 z)) (*.f64 (+.f64 (*.f64 -1 z) 1/2) (log.f64 (+.f64 13/2 (*.f64 (Rewrite=> metadata-eval 1) z)))))): 0 points increase in error, 0 points decrease in error
  (exp.f64 (-.f64 (neg.f64 (+.f64 13/2 z)) (*.f64 (+.f64 (*.f64 -1 z) 1/2) (log.f64 (+.f64 13/2 (Rewrite=> *-lft-identity_binary64 z)))))): 0 points increase in error, 0 points decrease in error
  (exp.f64 (Rewrite=> cancel-sign-sub-inv_binary64 (+.f64 (neg.f64 (+.f64 13/2 z)) (*.f64 (neg.f64 (+.f64 (*.f64 -1 z) 1/2)) (log.f64 (+.f64 13/2 z)))))): 0 points increase in error, 0 points decrease in error
  (exp.f64 (+.f64 (neg.f64 (+.f64 13/2 z)) (*.f64 (Rewrite=> distribute-neg-in_binary64 (+.f64 (neg.f64 (*.f64 -1 z)) (neg.f64 1/2))) (log.f64 (+.f64 13/2 z))))): 0 points increase in error, 0 points decrease in error
  (exp.f64 (+.f64 (neg.f64 (+.f64 13/2 z)) (*.f64 (+.f64 (neg.f64 (Rewrite=> mul-1-neg_binary64 (neg.f64 z))) (neg.f64 1/2)) (log.f64 (+.f64 13/2 z))))): 0 points increase in error, 0 points decrease in error
  (exp.f64 (+.f64 (neg.f64 (+.f64 13/2 z)) (*.f64 (+.f64 (Rewrite=> remove-double-neg_binary64 z) (neg.f64 1/2)) (log.f64 (+.f64 13/2 z))))): 0 points increase in error, 0 points decrease in error
  (exp.f64 (+.f64 (neg.f64 (+.f64 13/2 z)) (*.f64 (Rewrite<= sub-neg_binary64 (-.f64 z 1/2)) (log.f64 (+.f64 13/2 z))))): 0 points increase in error, 0 points decrease in error
  (exp.f64 (Rewrite<= +-commutative_binary64 (+.f64 (*.f64 (-.f64 z 1/2) (log.f64 (+.f64 13/2 z))) (neg.f64 (+.f64 13/2 z))))): 0 points increase in error, 0 points decrease in error
  (exp.f64 (Rewrite<= fma-udef_binary64 (fma.f64 (-.f64 z 1/2) (log.f64 (+.f64 13/2 z)) (neg.f64 (+.f64 13/2 z))))): 50 points increase in error, 53 points decrease in error
if 140 < (-.f64 z 1)
1. Initial program 62.9
  \[\left(\left(\sqrt{\pi \cdot 2} \cdot {\left(\left(\left(z - 1\right) + 7\right) + 0.5\right)}^{\left(\left(z - 1\right) + 0.5\right)}\right) \cdot e^{-\left(\left(\left(z - 1\right) + 7\right) + 0.5\right)}\right) \cdot \left(\left(\left(\left(\left(\left(\left(\left(0.9999999999998099 + \frac{676.5203681218851}{\left(z - 1\right) + 1}\right) + \frac{-1259.1392167224028}{\left(z - 1\right) + 2}\right) + \frac{771.3234287776531}{\left(z - 1\right) + 3}\right) + \frac{-176.6150291621406}{\left(z - 1\right) + 4}\right) + \frac{12.507343278686905}{\left(z - 1\right) + 5}\right) + \frac{-0.13857109526572012}{\left(z - 1\right) + 6}\right) + \frac{9.984369578019572 \cdot 10^{-6}}{\left(z - 1\right) + 7}\right) + \frac{1.5056327351493116 \cdot 10^{-7}}{\left(z - 1\right) + 8}\right) \]
2. Taylor expanded in z around inf 62.4
  \[\leadsto \color{blue}{\left(\left(\sqrt{2} \cdot \left({\left(6.5 + z\right)}^{\left(z - 0.5\right)} \cdot e^{-\left(6.5 + z\right)}\right)\right) \cdot \sqrt{\pi}\right)} \cdot \left(\left(\left(\left(\left(\left(\left(\left(0.9999999999998099 + \frac{676.5203681218851}{\left(z - 1\right) + 1}\right) + \frac{-1259.1392167224028}{\left(z - 1\right) + 2}\right) + \frac{771.3234287776531}{\left(z - 1\right) + 3}\right) + \frac{-176.6150291621406}{\left(z - 1\right) + 4}\right) + \frac{12.507343278686905}{\left(z - 1\right) + 5}\right) + \frac{-0.13857109526572012}{\left(z - 1\right) + 6}\right) + \frac{9.984369578019572 \cdot 10^{-6}}{\left(z - 1\right) + 7}\right) + \frac{1.5056327351493116 \cdot 10^{-7}}{\left(z - 1\right) + 8}\right) \]
3. Simplified55.2
  \[\leadsto \color{blue}{\left(\sqrt{2} \cdot \left(\sqrt{\pi} \cdot \frac{e^{-6.5 - z}}{{\left(z - -6.5\right)}^{\left(0.5 - z\right)}}\right)\right)} \cdot \left(\left(\left(\left(\left(\left(\left(\left(0.9999999999998099 + \frac{676.5203681218851}{\left(z - 1\right) + 1}\right) + \frac{-1259.1392167224028}{\left(z - 1\right) + 2}\right) + \frac{771.3234287776531}{\left(z - 1\right) + 3}\right) + \frac{-176.6150291621406}{\left(z - 1\right) + 4}\right) + \frac{12.507343278686905}{\left(z - 1\right) + 5}\right) + \frac{-0.13857109526572012}{\left(z - 1\right) + 6}\right) + \frac{9.984369578019572 \cdot 10^{-6}}{\left(z - 1\right) + 7}\right) + \frac{1.5056327351493116 \cdot 10^{-7}}{\left(z - 1\right) + 8}\right) \]
  Proof
  (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (Rewrite<= unsub-neg_binary64 (+.f64 -13/2 (neg.f64 z)))) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (+.f64 (Rewrite<= metadata-eval (neg.f64 13/2)) (neg.f64 z))) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (Rewrite<= distribute-neg-in_binary64 (neg.f64 (+.f64 13/2 z)))) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (neg.f64 (Rewrite=> +-commutative_binary64 (+.f64 z 13/2)))) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (Rewrite=> distribute-neg-in_binary64 (+.f64 (neg.f64 z) (neg.f64 13/2)))) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (+.f64 (Rewrite<= mul-1-neg_binary64 (*.f64 -1 z)) (neg.f64 13/2))) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (Rewrite<= sub-neg_binary64 (-.f64 (*.f64 -1 z) 13/2))) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 (*.f64 -1 z) 13/2)) (pow.f64 (-.f64 (Rewrite<= *-lft-identity_binary64 (*.f64 1 z)) -13/2) (-.f64 1/2 z))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 (*.f64 -1 z) 13/2)) (pow.f64 (Rewrite=> fma-neg_binary64 (fma.f64 1 z (neg.f64 -13/2))) (-.f64 1/2 z))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 (*.f64 -1 z) 13/2)) (pow.f64 (fma.f64 1 z (Rewrite=> metadata-eval 13/2)) (-.f64 1/2 z))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 (*.f64 -1 z) 13/2)) (pow.f64 (Rewrite<= fma-def_binary64 (+.f64 (*.f64 1 z) 13/2)) (-.f64 1/2 z))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 (*.f64 -1 z) 13/2)) (pow.f64 (+.f64 (Rewrite=> *-lft-identity_binary64 z) 13/2) (-.f64 1/2 z))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 (*.f64 -1 z) 13/2)) (pow.f64 (Rewrite<= +-commutative_binary64 (+.f64 13/2 z)) (-.f64 1/2 z))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 (*.f64 -1 z) 13/2)) (pow.f64 (+.f64 13/2 z) (Rewrite<= unsub-neg_binary64 (+.f64 1/2 (neg.f64 z))))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 (*.f64 -1 z) 13/2)) (pow.f64 (+.f64 13/2 z) (+.f64 1/2 (Rewrite<= mul-1-neg_binary64 (*.f64 -1 z))))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 (*.f64 -1 z) 13/2)) (pow.f64 (+.f64 13/2 z) (Rewrite<= +-commutative_binary64 (+.f64 (*.f64 -1 z) 1/2)))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 (*.f64 -1 z) 13/2)) (Rewrite<= exp-to-pow_binary64 (exp.f64 (*.f64 (log.f64 (+.f64 13/2 z)) (+.f64 (*.f64 -1 z) 1/2))))))): 101 points increase in error, 88 points decrease in error
  (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 (*.f64 -1 z) 13/2)) (exp.f64 (*.f64 (log.f64 (+.f64 13/2 (Rewrite<= remove-double-neg_binary64 (neg.f64 (neg.f64 z))))) (+.f64 (*.f64 -1 z) 1/2)))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 (*.f64 -1 z) 13/2)) (exp.f64 (*.f64 (log.f64 (+.f64 13/2 (neg.f64 (Rewrite<= mul-1-neg_binary64 (*.f64 -1 z))))) (+.f64 (*.f64 -1 z) 1/2)))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 (*.f64 -1 z) 13/2)) (exp.f64 (*.f64 (log.f64 (Rewrite<= sub-neg_binary64 (-.f64 13/2 (*.f64 -1 z)))) (+.f64 (*.f64 -1 z) 1/2)))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (Rewrite=> div-exp_binary64 (exp.f64 (-.f64 (-.f64 (*.f64 -1 z) 13/2) (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))))): 62 points increase in error, 72 points decrease in error
  (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (Rewrite<= unsub-neg_binary64 (+.f64 (-.f64 (*.f64 -1 z) 13/2) (neg.f64 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (+.f64 (-.f64 (*.f64 -1 z) 13/2) (Rewrite<= mul-1-neg_binary64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (Rewrite<= prod-exp_binary64 (*.f64 (exp.f64 (-.f64 (*.f64 -1 z) 13/2)) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))))))): 74 points increase in error, 60 points decrease in error
  (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (Rewrite<= *-commutative_binary64 (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (*.f64 -1 z) 13/2)))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 2) (Rewrite<= *-commutative_binary64 (*.f64 (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (*.f64 -1 z) 13/2))) (sqrt.f64 (PI.f64))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 2) (Rewrite=> associate-*l*_binary64 (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (*.f64 (exp.f64 (-.f64 (*.f64 -1 z) 13/2)) (sqrt.f64 (PI.f64)))))): 38 points increase in error, 37 points decrease in error
  (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (*.f64 (exp.f64 (Rewrite=> sub-neg_binary64 (+.f64 (*.f64 -1 z) (neg.f64 13/2)))) (sqrt.f64 (PI.f64))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (*.f64 (exp.f64 (+.f64 (Rewrite=> mul-1-neg_binary64 (neg.f64 z)) (neg.f64 13/2))) (sqrt.f64 (PI.f64))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (*.f64 (exp.f64 (Rewrite<= distribute-neg-in_binary64 (neg.f64 (+.f64 z 13/2)))) (sqrt.f64 (PI.f64))))): 0 points increase in error, 0 points decrease in error
  (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (*.f64 (exp.f64 (neg.f64 (Rewrite<= +-commutative_binary64 (+.f64 13/2 z)))) (sqrt.f64 (PI.f64))))): 0 points increase in error, 0 points decrease in error
  (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (exp.f64 (neg.f64 (+.f64 13/2 z))) (sqrt.f64 (PI.f64))))): 38 points increase in error, 47 points decrease in error
  (*.f64 (Rewrite=> *-commutative_binary64 (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) (sqrt.f64 2))) (*.f64 (exp.f64 (neg.f64 (+.f64 13/2 z))) (sqrt.f64 (PI.f64)))): 0 points increase in error, 0 points decrease in error
  (*.f64 (*.f64 (exp.f64 (Rewrite=> mul-1-neg_binary64 (neg.f64 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2))))) (sqrt.f64 2)) (*.f64 (exp.f64 (neg.f64 (+.f64 13/2 z))) (sqrt.f64 (PI.f64)))): 0 points increase in error, 0 points decrease in error
  (*.f64 (*.f64 (exp.f64 (Rewrite=> distribute-rgt-neg-in_binary64 (*.f64 (log.f64 (-.f64 13/2 (*.f64 -1 z))) (neg.f64 (+.f64 (*.f64 -1 z) 1/2))))) (sqrt.f64 2)) (*.f64 (exp.f64 (neg.f64 (+.f64 13/2 z))) (sqrt.f64 (PI.f64)))): 0 points increase in error, 0 points decrease in error
  (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (Rewrite=> sub-neg_binary64 (+.f64 13/2 (neg.f64 (*.f64 -1 z))))) (neg.f64 (+.f64 (*.f64 -1 z) 1/2)))) (sqrt.f64 2)) (*.f64 (exp.f64 (neg.f64 (+.f64 13/2 z))) (sqrt.f64 (PI.f64)))): 0 points increase in error, 0 points decrease in error
  (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (+.f64 13/2 (neg.f64 (Rewrite=> mul-1-neg_binary64 (neg.f64 z))))) (neg.f64 (+.f64 (*.f64 -1 z) 1/2)))) (sqrt.f64 2)) (*.f64 (exp.f64 (neg.f64 (+.f64 13/2 z))) (sqrt.f64 (PI.f64)))): 0 points increase in error, 0 points decrease in error
  (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (+.f64 13/2 (Rewrite=> remove-double-neg_binary64 z))) (neg.f64 (+.f64 (*.f64 -1 z) 1/2)))) (sqrt.f64 2)) (*.f64 (exp.f64 (neg.f64 (+.f64 13/2 z))) (sqrt.f64 (PI.f64)))): 0 points increase in error, 0 points decrease in error
  (*.f64 (*.f64 (Rewrite=> exp-to-pow_binary64 (pow.f64 (+.f64 13/2 z) (neg.f64 (+.f64 (*.f64 -1 z) 1/2)))) (sqrt.f64 2)) (*.f64 (exp.f64 (neg.f64 (+.f64 13/2 z))) (sqrt.f64 (PI.f64)))): 92 points increase in error, 102 points decrease in error
  (*.f64 (*.f64 (pow.f64 (+.f64 13/2 z) (Rewrite=> distribute-neg-in_binary64 (+.f64 (neg.f64 (*.f64 -1 z)) (neg.f64 1/2)))) (sqrt.f64 2)) (*.f64 (exp.f64 (neg.f64 (+.f64 13/2 z))) (sqrt.f64 (PI.f64)))): 0 points increase in error, 0 points decrease in error
  (*.f64 (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 (neg.f64 (Rewrite=> mul-1-neg_binary64 (neg.f64 z))) (neg.f64 1/2))) (sqrt.f64 2)) (*.f64 (exp.f64 (neg.f64 (+.f64 13/2 z))) (sqrt.f64 (PI.f64)))): 0 points increase in error, 0 points decrease in error
  (*.f64 (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 (Rewrite=> remove-double-neg_binary64 z) (neg.f64 1/2))) (sqrt.f64 2)) (*.f64 (exp.f64 (neg.f64 (+.f64 13/2 z))) (sqrt.f64 (PI.f64)))): 0 points increase in error, 0 points decrease in error
  (*.f64 (*.f64 (pow.f64 (+.f64 13/2 z) (Rewrite<= sub-neg_binary64 (-.f64 z 1/2))) (sqrt.f64 2)) (*.f64 (exp.f64 (neg.f64 (+.f64 13/2 z))) (sqrt.f64 (PI.f64)))): 0 points increase in error, 0 points decrease in error
  (*.f64 (Rewrite<= *-commutative_binary64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)))) (*.f64 (exp.f64 (neg.f64 (+.f64 13/2 z))) (sqrt.f64 (PI.f64)))): 0 points increase in error, 0 points decrease in error
  (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (exp.f64 (neg.f64 (+.f64 13/2 z)))) (sqrt.f64 (PI.f64)))): 37 points increase in error, 36 points decrease in error
  (*.f64 (Rewrite<= associate-*r*_binary64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z)))))) (sqrt.f64 (PI.f64))): 35 points increase in error, 28 points decrease in error
4. Applied egg-rr7.9
  \[\leadsto \left(\sqrt{2} \cdot \left(\sqrt{\pi} \cdot \color{blue}{e^{\left(-6.5 - z\right) - \left(0.5 - z\right) \cdot \log \left(z + 6.5\right)}}\right)\right) \cdot \left(\left(\left(\left(\left(\left(\left(\left(0.9999999999998099 + \frac{676.5203681218851}{\left(z - 1\right) + 1}\right) + \frac{-1259.1392167224028}{\left(z - 1\right) + 2}\right) + \frac{771.3234287776531}{\left(z - 1\right) + 3}\right) + \frac{-176.6150291621406}{\left(z - 1\right) + 4}\right) + \frac{12.507343278686905}{\left(z - 1\right) + 5}\right) + \frac{-0.13857109526572012}{\left(z - 1\right) + 6}\right) + \frac{9.984369578019572 \cdot 10^{-6}}{\left(z - 1\right) + 7}\right) + \frac{1.5056327351493116 \cdot 10^{-7}}{\left(z - 1\right) + 8}\right) \]
5. Applied egg-rr8.0
  \[\leadsto \left(\sqrt{2} \cdot \left(\sqrt{\pi} \cdot \color{blue}{{\left(e^{\sqrt{-6.5 - \mathsf{fma}\left(0.5 - z, \log \left(z + 6.5\right), z\right)}}\right)}^{\left(\sqrt{-6.5 - \mathsf{fma}\left(0.5 - z, \log \left(z + 6.5\right), z\right)}\right)}}\right)\right) \cdot \left(\left(\left(\left(\left(\left(\left(\left(0.9999999999998099 + \frac{676.5203681218851}{\left(z - 1\right) + 1}\right) + \frac{-1259.1392167224028}{\left(z - 1\right) + 2}\right) + \frac{771.3234287776531}{\left(z - 1\right) + 3}\right) + \frac{-176.6150291621406}{\left(z - 1\right) + 4}\right) + \frac{12.507343278686905}{\left(z - 1\right) + 5}\right) + \frac{-0.13857109526572012}{\left(z - 1\right) + 6}\right) + \frac{9.984369578019572 \cdot 10^{-6}}{\left(z - 1\right) + 7}\right) + \frac{1.5056327351493116 \cdot 10^{-7}}{\left(z - 1\right) + 8}\right) \]
Recombined 2 regimes into one program.
Final simplification2.3
\[\leadsto \begin{array}{l} \mathbf{if}\;z + -1 \leq 140:\\ \;\;\;\;\sqrt{\pi \cdot 2} \cdot \left(\left(\frac{0.9999999999996197 + \left(\frac{676.5203681218851}{z} + \left(\frac{-1259.1392167224028}{z + 1} + \frac{771.3234287776531}{z + 2}\right)\right) \cdot \left(\frac{-676.5203681218851}{z} + \left(\frac{1259.1392167224028}{z + 1} + \frac{-771.3234287776531}{z + 2}\right)\right)}{0.9999999999998099 + \left(\frac{-676.5203681218851}{z} + \left(\frac{1259.1392167224028}{z + 1} + \frac{-771.3234287776531}{z + 2}\right)\right)} + \left(\frac{-176.6150291621406}{z + 3} + \left(\left(\frac{-0.13857109526572012}{z + 5} + \left(\frac{12.507343278686905}{z + 4} + \frac{9.984369578019572 \cdot 10^{-6}}{z + 6}\right)\right) + \frac{1.5056327351493116 \cdot 10^{-7}}{z + 7}\right)\right)\right) \cdot \frac{e^{-6.5 - z}}{{\left(z + 6.5\right)}^{\left(0.5 - z\right)}}\right)\\ \mathbf{else}:\\ \;\;\;\;\left(\sqrt{2} \cdot \left(\sqrt{\pi} \cdot {\left(e^{\sqrt{-6.5 - \mathsf{fma}\left(0.5 - z, \log \left(z + 6.5\right), z\right)}}\right)}^{\left(\sqrt{-6.5 - \mathsf{fma}\left(0.5 - z, \log \left(z + 6.5\right), z\right)}\right)}\right)\right) \cdot \left(\left(\left(\left(\left(\left(\left(\left(0.9999999999998099 + \frac{676.5203681218851}{1 + \left(z + -1\right)}\right) + \frac{-1259.1392167224028}{\left(z + -1\right) + 2}\right) + \frac{771.3234287776531}{\left(z + -1\right) + 3}\right) + \frac{-176.6150291621406}{\left(z + -1\right) + 4}\right) + \frac{12.507343278686905}{\left(z + -1\right) + 5}\right) + \frac{-0.13857109526572012}{\left(z + -1\right) + 6}\right) + \frac{9.984369578019572 \cdot 10^{-6}}{\left(z + -1\right) + 7}\right) + \frac{1.5056327351493116 \cdot 10^{-7}}{\left(z + -1\right) + 8}\right)\\ \end{array} \]

Alternative 1
Error	2.4
Cost	50052

Alternative 2
Error	2.4
Cost	38276

Alternative 3
Error	2.4
Cost	38276

Alternative 4
Error	2.4
Cost	36100

Alternative 5
Error	2.4
Cost	31940

Error

Derivation

`if (-.f64 z 1) < 140`

`if 140 < (-.f64 z 1)`

Alternatives

Error

Reproduce