Timeout in 10.0m

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\[R \cdot \sqrt{\left(\left(\lambda_1 - \lambda_2\right) \cdot \cos \left(\frac{\phi_1 + \phi_2}{2}\right)\right) \cdot \left(\left(\lambda_1 - \lambda_2\right) \cdot \cos \left(\frac{\phi_1 + \phi_2}{2}\right)\right) + \left(\phi_1 - \phi_2\right) \cdot \left(\phi_1 - \phi_2\right)}\]
R \cdot \sqrt{\left(\left(\lambda_1 - \lambda_2\right) \cdot \cos \left(\frac{\phi_1 + \phi_2}{2}\right)\right) \cdot \left(\left(\lambda_1 - \lambda_2\right) \cdot \cos \left(\frac{\phi_1 + \phi_2}{2}\right)\right) + \left(\phi_1 - \phi_2\right) \cdot \left(\phi_1 - \phi_2\right)}
double f(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r166437716 = R;
        double r166437717 = lambda1;
        double r166437718 = lambda2;
        double r166437719 = r166437717 - r166437718;
        double r166437720 = phi1;
        double r166437721 = phi2;
        double r166437722 = r166437720 + r166437721;
        double r166437723 = 2.0;
        double r166437724 = r166437722 / r166437723;
        double r166437725 = cos(r166437724);
        double r166437726 = r166437719 * r166437725;
        double r166437727 = r166437726 * r166437726;
        double r166437728 = r166437720 - r166437721;
        double r166437729 = r166437728 * r166437728;
        double r166437730 = r166437727 + r166437729;
        double r166437731 = sqrt(r166437730);
        double r166437732 = r166437716 * r166437731;
        return r166437732;
}

Reproduce

herbie shell --seed 2019107 
(FPCore (R lambda1 lambda2 phi1 phi2)
  :name "Equirectangular approximation to distance on a great circle"
  (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))