Timeout in 10.0m

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\[\alpha \gt -1 \land \beta \gt -1\]
\[\frac{\frac{\frac{\left(\left(\alpha + \beta\right) + \beta \cdot \alpha\right) + 1}{\left(\alpha + \beta\right) + 2 \cdot 1}}{\left(\alpha + \beta\right) + 2 \cdot 1}}{\left(\left(\alpha + \beta\right) + 2 \cdot 1\right) + 1}\]
\frac{\frac{\frac{\left(\left(\alpha + \beta\right) + \beta \cdot \alpha\right) + 1}{\left(\alpha + \beta\right) + 2 \cdot 1}}{\left(\alpha + \beta\right) + 2 \cdot 1}}{\left(\left(\alpha + \beta\right) + 2 \cdot 1\right) + 1}
double f(double alpha, double beta) {
        double r4227186 = alpha;
        double r4227187 = beta;
        double r4227188 = r4227186 + r4227187;
        double r4227189 = r4227187 * r4227186;
        double r4227190 = r4227188 + r4227189;
        double r4227191 = 1.0;
        double r4227192 = r4227190 + r4227191;
        double r4227193 = 2.0;
        double r4227194 = r4227193 * r4227191;
        double r4227195 = r4227188 + r4227194;
        double r4227196 = r4227192 / r4227195;
        double r4227197 = r4227196 / r4227195;
        double r4227198 = r4227195 + r4227191;
        double r4227199 = r4227197 / r4227198;
        return r4227199;
}

Reproduce

herbie shell --seed 2019179 
(FPCore (alpha beta)
  :name "Octave 3.8, jcobi/3"
  :pre (and (> alpha -1.0) (> beta -1.0))
  (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2.0 1.0))) (+ (+ alpha beta) (* 2.0 1.0))) (+ (+ (+ alpha beta) (* 2.0 1.0)) 1.0)))