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\[0 \lt c_p \land 0 \lt c_n\]
\[\frac{{\left(\frac{1}{1 + e^{-s}}\right)}^{c_p} \cdot {\left(1 - \frac{1}{1 + e^{-s}}\right)}^{c_n}}{{\left(\frac{1}{1 + e^{-t}}\right)}^{c_p} \cdot {\left(1 - \frac{1}{1 + e^{-t}}\right)}^{c_n}}\]
\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 r73463734 = 1.0;
        double r73463735 = s;
        double r73463736 = -r73463735;
        double r73463737 = exp(r73463736);
        double r73463738 = r73463734 + r73463737;
        double r73463739 = r73463734 / r73463738;
        double r73463740 = c_p;
        double r73463741 = pow(r73463739, r73463740);
        double r73463742 = r73463734 - r73463739;
        double r73463743 = c_n;
        double r73463744 = pow(r73463742, r73463743);
        double r73463745 = r73463741 * r73463744;
        double r73463746 = t;
        double r73463747 = -r73463746;
        double r73463748 = exp(r73463747);
        double r73463749 = r73463734 + r73463748;
        double r73463750 = r73463734 / r73463749;
        double r73463751 = pow(r73463750, r73463740);
        double r73463752 = r73463734 - r73463750;
        double r73463753 = pow(r73463752, r73463743);
        double r73463754 = r73463751 * r73463753;
        double r73463755 = r73463745 / r73463754;
        return r73463755;
}

Reproduce

herbie shell --seed 2019125 
(FPCore (c_p c_n t s)
  :name "Harley's example"
  :pre (and (< 0 c_p) (< 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))))