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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 r65063963 = 1.0;
        double r65063964 = s;
        double r65063965 = -r65063964;
        double r65063966 = exp(r65063965);
        double r65063967 = r65063963 + r65063966;
        double r65063968 = r65063963 / r65063967;
        double r65063969 = c_p;
        double r65063970 = pow(r65063968, r65063969);
        double r65063971 = r65063963 - r65063968;
        double r65063972 = c_n;
        double r65063973 = pow(r65063971, r65063972);
        double r65063974 = r65063970 * r65063973;
        double r65063975 = t;
        double r65063976 = -r65063975;
        double r65063977 = exp(r65063976);
        double r65063978 = r65063963 + r65063977;
        double r65063979 = r65063963 / r65063978;
        double r65063980 = pow(r65063979, r65063969);
        double r65063981 = r65063963 - r65063979;
        double r65063982 = pow(r65063981, r65063972);
        double r65063983 = r65063980 * r65063982;
        double r65063984 = r65063974 / r65063983;
        return r65063984;
}

Reproduce

herbie shell --seed 2019125 +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))))