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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 r7898824 = 1.0;
        double r7898825 = s;
        double r7898826 = -r7898825;
        double r7898827 = exp(r7898826);
        double r7898828 = r7898824 + r7898827;
        double r7898829 = r7898824 / r7898828;
        double r7898830 = c_p;
        double r7898831 = pow(r7898829, r7898830);
        double r7898832 = r7898824 - r7898829;
        double r7898833 = c_n;
        double r7898834 = pow(r7898832, r7898833);
        double r7898835 = r7898831 * r7898834;
        double r7898836 = t;
        double r7898837 = -r7898836;
        double r7898838 = exp(r7898837);
        double r7898839 = r7898824 + r7898838;
        double r7898840 = r7898824 / r7898839;
        double r7898841 = pow(r7898840, r7898830);
        double r7898842 = r7898824 - r7898840;
        double r7898843 = pow(r7898842, r7898833);
        double r7898844 = r7898841 * r7898843;
        double r7898845 = r7898835 / r7898844;
        return r7898845;
}

Reproduce

herbie shell --seed 2019163 +o rules:numerics
(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))))