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\[0.0 \lt c_p \land 0.0 \lt c_n\]
\[\frac{{\left(\frac{1}{1 + e^{-s}}\right)}^{c_p} \cdot {\left(1 - \frac{1}{1 + e^{-s}}\right)}^{c_n}}{{\left(\frac{1}{1 + e^{-t}}\right)}^{c_p} \cdot {\left(1 - \frac{1}{1 + e^{-t}}\right)}^{c_n}}\]
\frac{{\left(\frac{1}{1 + e^{-s}}\right)}^{c_p} \cdot {\left(1 - \frac{1}{1 + e^{-s}}\right)}^{c_n}}{{\left(\frac{1}{1 + e^{-t}}\right)}^{c_p} \cdot {\left(1 - \frac{1}{1 + e^{-t}}\right)}^{c_n}}
double f(double c_p, double c_n, double t, double s) {
        double r135770 = 1.0;
        double r135771 = s;
        double r135772 = -r135771;
        double r135773 = exp(r135772);
        double r135774 = r135770 + r135773;
        double r135775 = r135770 / r135774;
        double r135776 = c_p;
        double r135777 = pow(r135775, r135776);
        double r135778 = r135770 - r135775;
        double r135779 = c_n;
        double r135780 = pow(r135778, r135779);
        double r135781 = r135777 * r135780;
        double r135782 = t;
        double r135783 = -r135782;
        double r135784 = exp(r135783);
        double r135785 = r135770 + r135784;
        double r135786 = r135770 / r135785;
        double r135787 = pow(r135786, r135776);
        double r135788 = r135770 - r135786;
        double r135789 = pow(r135788, r135779);
        double r135790 = r135787 * r135789;
        double r135791 = r135781 / r135790;
        return r135791;
}

Reproduce

herbie shell --seed 2019235 +o rules:numerics
(FPCore (c_p c_n t s)
  :name "Harley's example"
  :precision binary64
  :pre (and (< 0.0 c_p) (< 0.0 c_n))

  :herbie-target
  (* (pow (/ (+ 1 (exp (- t))) (+ 1 (exp (- s)))) c_p) (pow (/ (+ 1 (exp t)) (+ 1 (exp s))) c_n))

  (/ (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n))))