14.449 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
3.083 * * * [progress]: [2/2] Setting up program.
3.089 * [progress]: [Phase 2 of 3] Improving.
3.089 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)
3.091 * * [simplify]: iteration  0 :  26  enodes  (cost  12 )
3.092 * * [simplify]: iteration  1 :  34  enodes  (cost  12 )
3.094 * * [simplify]: iteration  2 :  36  enodes  (cost  12 )
3.095 * * [simplify]: iteration  3 :  36  enodes  (cost  12 )
3.095 * [simplify]: Simplified to:
   (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)
3.095 * * [progress]: iteration 1 / 4
3.095 * * * [progress]: picking best candidate
3.100 * * * * [pick]: Picked  #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
3.100 * * * [progress]: localizing error
3.130 * * * [progress]: generating rewritten candidates
3.130 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2)
3.135 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
3.136 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
3.139 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1)
3.145 * * * [progress]: generating series expansions
3.145 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2)
3.145 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0
3.145 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2
3.145 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2
3.145 * [taylor]: Taking taylor expansion of lambda1 in lambda2
3.145 * [taylor]: Taking taylor expansion of lambda2 in lambda2
3.146 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1
3.146 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1
3.146 * [taylor]: Taking taylor expansion of lambda1 in lambda1
3.146 * [taylor]: Taking taylor expansion of lambda2 in lambda1
3.146 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1
3.146 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1
3.146 * [taylor]: Taking taylor expansion of lambda1 in lambda1
3.146 * [taylor]: Taking taylor expansion of lambda2 in lambda1
3.146 * [taylor]: Taking taylor expansion of (cos (neg lambda2)) in lambda2
3.146 * [taylor]: Taking taylor expansion of (neg lambda2) in lambda2
3.146 * [taylor]: Taking taylor expansion of lambda2 in lambda2
3.147 * [taylor]: Taking taylor expansion of (neg (sin (neg lambda2))) in lambda2
3.147 * [taylor]: Taking taylor expansion of (sin (neg lambda2)) in lambda2
3.147 * [taylor]: Taking taylor expansion of (neg lambda2) in lambda2
3.147 * [taylor]: Taking taylor expansion of lambda2 in lambda2
3.147 * [taylor]: Taking taylor expansion of (neg (* 1/2 (cos (neg lambda2)))) in lambda2
3.147 * [taylor]: Taking taylor expansion of (* 1/2 (cos (neg lambda2))) in lambda2
3.147 * [taylor]: Taking taylor expansion of 1/2 in lambda2
3.147 * [taylor]: Taking taylor expansion of (cos (neg lambda2)) in lambda2
3.147 * [taylor]: Taking taylor expansion of (neg lambda2) in lambda2
3.147 * [taylor]: Taking taylor expansion of lambda2 in lambda2
3.148 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0
3.148 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2
3.148 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2
3.148 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
3.148 * [taylor]: Taking taylor expansion of lambda1 in lambda2
3.148 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
3.148 * [taylor]: Taking taylor expansion of lambda2 in lambda2
3.148 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1
3.148 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1
3.148 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
3.148 * [taylor]: Taking taylor expansion of lambda1 in lambda1
3.148 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
3.148 * [taylor]: Taking taylor expansion of lambda2 in lambda1
3.148 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1
3.148 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1
3.148 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
3.148 * [taylor]: Taking taylor expansion of lambda1 in lambda1
3.148 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
3.148 * [taylor]: Taking taylor expansion of lambda2 in lambda1
3.148 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2
3.148 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2
3.148 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
3.148 * [taylor]: Taking taylor expansion of lambda1 in lambda2
3.148 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
3.148 * [taylor]: Taking taylor expansion of lambda2 in lambda2
3.149 * [taylor]: Taking taylor expansion of 0 in lambda2
3.149 * [taylor]: Taking taylor expansion of 0 in lambda2
3.149 * [taylor]: Taking taylor expansion of 0 in lambda2
3.149 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0
3.149 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2
3.149 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2
3.149 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
3.149 * [taylor]: Taking taylor expansion of lambda2 in lambda2
3.149 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
3.149 * [taylor]: Taking taylor expansion of lambda1 in lambda2
3.149 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1
3.149 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1
3.149 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
3.149 * [taylor]: Taking taylor expansion of lambda2 in lambda1
3.149 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
3.149 * [taylor]: Taking taylor expansion of lambda1 in lambda1
3.149 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1
3.149 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1
3.149 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
3.149 * [taylor]: Taking taylor expansion of lambda2 in lambda1
3.149 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
3.149 * [taylor]: Taking taylor expansion of lambda1 in lambda1
3.149 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2
3.149 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2
3.149 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
3.149 * [taylor]: Taking taylor expansion of lambda2 in lambda2
3.149 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
3.150 * [taylor]: Taking taylor expansion of lambda1 in lambda2
3.150 * [taylor]: Taking taylor expansion of 0 in lambda2
3.150 * [taylor]: Taking taylor expansion of 0 in lambda2
3.150 * [taylor]: Taking taylor expansion of 0 in lambda2
3.150 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
3.150 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in (phi1 phi2 lambda1 lambda2) around 0
3.150 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2
3.150 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1
3.150 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2
3.151 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1
3.151 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1
3.151 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2
3.151 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1
3.151 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2
3.151 * [taylor]: Taking taylor expansion of 0 in phi2
3.151 * [taylor]: Taking taylor expansion of 0 in lambda1
3.152 * [taylor]: Taking taylor expansion of 0 in lambda2
3.152 * [taylor]: Taking taylor expansion of 0 in lambda1
3.152 * [taylor]: Taking taylor expansion of 0 in lambda2
3.152 * [taylor]: Taking taylor expansion of 0 in lambda2
3.152 * [taylor]: Taking taylor expansion of 0 in phi2
3.152 * [taylor]: Taking taylor expansion of 0 in lambda1
3.152 * [taylor]: Taking taylor expansion of 0 in lambda2
3.152 * [taylor]: Taking taylor expansion of 0 in lambda1
3.152 * [taylor]: Taking taylor expansion of 0 in lambda2
3.152 * [approximate]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0
3.152 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2
3.152 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1
3.153 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2
3.153 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1
3.153 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1
3.153 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2
3.153 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1
3.154 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2
3.154 * [taylor]: Taking taylor expansion of 0 in phi2
3.154 * [taylor]: Taking taylor expansion of 0 in lambda1
3.154 * [taylor]: Taking taylor expansion of 0 in lambda2
3.154 * [taylor]: Taking taylor expansion of 0 in lambda1
3.154 * [taylor]: Taking taylor expansion of 0 in lambda2
3.154 * [taylor]: Taking taylor expansion of 0 in lambda2
3.154 * [taylor]: Taking taylor expansion of 0 in phi2
3.154 * [taylor]: Taking taylor expansion of 0 in lambda1
3.154 * [taylor]: Taking taylor expansion of 0 in lambda2
3.154 * [taylor]: Taking taylor expansion of 0 in lambda1
3.154 * [taylor]: Taking taylor expansion of 0 in lambda2
3.155 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in (phi1 phi2 lambda1 lambda2) around 0
3.155 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2
3.155 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1
3.155 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2
3.155 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1
3.156 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1
3.156 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2
3.156 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1
3.156 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2
3.157 * [taylor]: Taking taylor expansion of 0 in phi2
3.157 * [taylor]: Taking taylor expansion of 0 in lambda1
3.157 * [taylor]: Taking taylor expansion of 0 in lambda2
3.157 * [taylor]: Taking taylor expansion of 0 in lambda1
3.157 * [taylor]: Taking taylor expansion of 0 in lambda2
3.157 * [taylor]: Taking taylor expansion of 0 in lambda2
3.157 * [taylor]: Taking taylor expansion of 0 in phi2
3.157 * [taylor]: Taking taylor expansion of 0 in lambda1
3.157 * [taylor]: Taking taylor expansion of 0 in lambda2
3.157 * [taylor]: Taking taylor expansion of 0 in lambda1
3.157 * [taylor]: Taking taylor expansion of 0 in lambda2
3.157 * * * * [progress]: [ 3 / 4 ] generating series at (2)
3.158 * [approximate]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0
3.158 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R
3.158 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R
3.158 * [taylor]: Taking taylor expansion of R in R
3.158 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2
3.158 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2
3.158 * [taylor]: Taking taylor expansion of R in lambda2
3.158 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1
3.158 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1
3.158 * [taylor]: Taking taylor expansion of R in lambda1
3.158 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2
3.158 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2
3.158 * [taylor]: Taking taylor expansion of R in phi2
3.158 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1
3.158 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1
3.158 * [taylor]: Taking taylor expansion of R in phi1
3.158 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1
3.158 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1
3.159 * [taylor]: Taking taylor expansion of R in phi1
3.159 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2
3.159 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2
3.159 * [taylor]: Taking taylor expansion of R in phi2
3.159 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1
3.159 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1
3.159 * [taylor]: Taking taylor expansion of R in lambda1
3.159 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2
3.159 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2
3.160 * [taylor]: Taking taylor expansion of R in lambda2
3.160 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R
3.160 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R
3.160 * [taylor]: Taking taylor expansion of R in R
3.160 * [taylor]: Taking taylor expansion of 0 in phi2
3.160 * [taylor]: Taking taylor expansion of 0 in lambda1
3.160 * [taylor]: Taking taylor expansion of 0 in lambda2
3.160 * [taylor]: Taking taylor expansion of 0 in R
3.160 * [taylor]: Taking taylor expansion of 0 in lambda1
3.160 * [taylor]: Taking taylor expansion of 0 in lambda2
3.160 * [taylor]: Taking taylor expansion of 0 in R
3.161 * [taylor]: Taking taylor expansion of 0 in lambda2
3.161 * [taylor]: Taking taylor expansion of 0 in R
3.161 * [taylor]: Taking taylor expansion of 0 in R
3.161 * [taylor]: Taking taylor expansion of 0 in phi2
3.161 * [taylor]: Taking taylor expansion of 0 in lambda1
3.161 * [taylor]: Taking taylor expansion of 0 in lambda2
3.162 * [taylor]: Taking taylor expansion of 0 in R
3.162 * [taylor]: Taking taylor expansion of 0 in lambda1
3.162 * [taylor]: Taking taylor expansion of 0 in lambda2
3.162 * [taylor]: Taking taylor expansion of 0 in R
3.162 * [taylor]: Taking taylor expansion of 0 in lambda1
3.162 * [taylor]: Taking taylor expansion of 0 in lambda2
3.162 * [taylor]: Taking taylor expansion of 0 in R
3.162 * [taylor]: Taking taylor expansion of 0 in lambda2
3.162 * [taylor]: Taking taylor expansion of 0 in R
3.162 * [taylor]: Taking taylor expansion of 0 in lambda2
3.162 * [taylor]: Taking taylor expansion of 0 in R
3.162 * [taylor]: Taking taylor expansion of 0 in lambda2
3.162 * [taylor]: Taking taylor expansion of 0 in R
3.163 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0
3.163 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in R
3.163 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in R
3.163 * [taylor]: Taking taylor expansion of R in R
3.163 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda2
3.163 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2
3.163 * [taylor]: Taking taylor expansion of R in lambda2
3.163 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda1
3.163 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1
3.164 * [taylor]: Taking taylor expansion of R in lambda1
3.164 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi2
3.164 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2
3.164 * [taylor]: Taking taylor expansion of R in phi2
3.164 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi1
3.164 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1
3.165 * [taylor]: Taking taylor expansion of R in phi1
3.165 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi1
3.165 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1
3.165 * [taylor]: Taking taylor expansion of R in phi1
3.165 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi2
3.165 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2
3.165 * [taylor]: Taking taylor expansion of R in phi2
3.166 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda1
3.166 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1
3.166 * [taylor]: Taking taylor expansion of R in lambda1
3.166 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda2
3.166 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2
3.166 * [taylor]: Taking taylor expansion of R in lambda2
3.166 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in R
3.167 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in R
3.167 * [taylor]: Taking taylor expansion of R in R
3.167 * [taylor]: Taking taylor expansion of 0 in phi2
3.167 * [taylor]: Taking taylor expansion of 0 in lambda1
3.167 * [taylor]: Taking taylor expansion of 0 in lambda2
3.167 * [taylor]: Taking taylor expansion of 0 in R
3.168 * [taylor]: Taking taylor expansion of 0 in lambda1
3.168 * [taylor]: Taking taylor expansion of 0 in lambda2
3.168 * [taylor]: Taking taylor expansion of 0 in R
3.168 * [taylor]: Taking taylor expansion of 0 in lambda2
3.168 * [taylor]: Taking taylor expansion of 0 in R
3.168 * [taylor]: Taking taylor expansion of 0 in R
3.169 * [taylor]: Taking taylor expansion of 0 in phi2
3.169 * [taylor]: Taking taylor expansion of 0 in lambda1
3.169 * [taylor]: Taking taylor expansion of 0 in lambda2
3.169 * [taylor]: Taking taylor expansion of 0 in R
3.169 * [taylor]: Taking taylor expansion of 0 in lambda1
3.169 * [taylor]: Taking taylor expansion of 0 in lambda2
3.169 * [taylor]: Taking taylor expansion of 0 in R
3.169 * [taylor]: Taking taylor expansion of 0 in lambda1
3.169 * [taylor]: Taking taylor expansion of 0 in lambda2
3.169 * [taylor]: Taking taylor expansion of 0 in R
3.169 * [taylor]: Taking taylor expansion of 0 in lambda2
3.169 * [taylor]: Taking taylor expansion of 0 in R
3.169 * [taylor]: Taking taylor expansion of 0 in lambda2
3.169 * [taylor]: Taking taylor expansion of 0 in R
3.170 * [taylor]: Taking taylor expansion of 0 in lambda2
3.170 * [taylor]: Taking taylor expansion of 0 in R
3.170 * [taylor]: Taking taylor expansion of 0 in R
3.170 * [taylor]: Taking taylor expansion of 0 in R
3.170 * [taylor]: Taking taylor expansion of 0 in R
3.170 * [taylor]: Taking taylor expansion of 0 in R
3.171 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0
3.171 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in R
3.171 * [taylor]: Taking taylor expansion of -1 in R
3.171 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in R
3.171 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in R
3.171 * [taylor]: Taking taylor expansion of R in R
3.171 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda2
3.171 * [taylor]: Taking taylor expansion of -1 in lambda2
3.171 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda2
3.171 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2
3.172 * [taylor]: Taking taylor expansion of R in lambda2
3.172 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda1
3.172 * [taylor]: Taking taylor expansion of -1 in lambda1
3.172 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda1
3.172 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1
3.172 * [taylor]: Taking taylor expansion of R in lambda1
3.172 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi2
3.172 * [taylor]: Taking taylor expansion of -1 in phi2
3.172 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi2
3.172 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2
3.172 * [taylor]: Taking taylor expansion of R in phi2
3.173 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi1
3.173 * [taylor]: Taking taylor expansion of -1 in phi1
3.173 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi1
3.173 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1
3.173 * [taylor]: Taking taylor expansion of R in phi1
3.173 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi1
3.173 * [taylor]: Taking taylor expansion of -1 in phi1
3.173 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi1
3.173 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1
3.173 * [taylor]: Taking taylor expansion of R in phi1
3.174 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi2
3.174 * [taylor]: Taking taylor expansion of -1 in phi2
3.174 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi2
3.174 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2
3.174 * [taylor]: Taking taylor expansion of R in phi2
3.175 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda1
3.175 * [taylor]: Taking taylor expansion of -1 in lambda1
3.175 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda1
3.175 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1
3.175 * [taylor]: Taking taylor expansion of R in lambda1
3.175 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda2
3.175 * [taylor]: Taking taylor expansion of -1 in lambda2
3.175 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda2
3.175 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2
3.175 * [taylor]: Taking taylor expansion of R in lambda2
3.176 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in R
3.176 * [taylor]: Taking taylor expansion of -1 in R
3.176 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in R
3.176 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in R
3.176 * [taylor]: Taking taylor expansion of R in R
3.177 * [taylor]: Taking taylor expansion of 0 in phi2
3.177 * [taylor]: Taking taylor expansion of 0 in lambda1
3.177 * [taylor]: Taking taylor expansion of 0 in lambda2
3.177 * [taylor]: Taking taylor expansion of 0 in R
3.178 * [taylor]: Taking taylor expansion of 0 in lambda1
3.178 * [taylor]: Taking taylor expansion of 0 in lambda2
3.178 * [taylor]: Taking taylor expansion of 0 in R
3.178 * [taylor]: Taking taylor expansion of 0 in lambda2
3.178 * [taylor]: Taking taylor expansion of 0 in R
3.179 * [taylor]: Taking taylor expansion of 0 in R
3.180 * [taylor]: Taking taylor expansion of 0 in phi2
3.180 * [taylor]: Taking taylor expansion of 0 in lambda1
3.180 * [taylor]: Taking taylor expansion of 0 in lambda2
3.180 * [taylor]: Taking taylor expansion of 0 in R
3.180 * [taylor]: Taking taylor expansion of 0 in lambda1
3.180 * [taylor]: Taking taylor expansion of 0 in lambda2
3.180 * [taylor]: Taking taylor expansion of 0 in R
3.180 * [taylor]: Taking taylor expansion of 0 in lambda1
3.180 * [taylor]: Taking taylor expansion of 0 in lambda2
3.180 * [taylor]: Taking taylor expansion of 0 in R
3.180 * [taylor]: Taking taylor expansion of 0 in lambda2
3.180 * [taylor]: Taking taylor expansion of 0 in R
3.180 * [taylor]: Taking taylor expansion of 0 in lambda2
3.180 * [taylor]: Taking taylor expansion of 0 in R
3.181 * [taylor]: Taking taylor expansion of 0 in lambda2
3.181 * [taylor]: Taking taylor expansion of 0 in R
3.181 * [taylor]: Taking taylor expansion of 0 in R
3.181 * [taylor]: Taking taylor expansion of 0 in R
3.181 * [taylor]: Taking taylor expansion of 0 in R
3.181 * [taylor]: Taking taylor expansion of 0 in R
3.182 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1)
3.182 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0
3.182 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2
3.182 * [taylor]: Taking taylor expansion of (sin phi1) in phi2
3.182 * [taylor]: Taking taylor expansion of phi1 in phi2
3.182 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
3.182 * [taylor]: Taking taylor expansion of phi2 in phi2
3.182 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1
3.182 * [taylor]: Taking taylor expansion of (sin phi1) in phi1
3.182 * [taylor]: Taking taylor expansion of phi1 in phi1
3.182 * [taylor]: Taking taylor expansion of (sin phi2) in phi1
3.182 * [taylor]: Taking taylor expansion of phi2 in phi1
3.182 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1
3.183 * [taylor]: Taking taylor expansion of (sin phi1) in phi1
3.183 * [taylor]: Taking taylor expansion of phi1 in phi1
3.183 * [taylor]: Taking taylor expansion of (sin phi2) in phi1
3.183 * [taylor]: Taking taylor expansion of phi2 in phi1
3.183 * [taylor]: Taking taylor expansion of 0 in phi2
3.183 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
3.183 * [taylor]: Taking taylor expansion of phi2 in phi2
3.184 * [taylor]: Taking taylor expansion of 0 in phi2
3.184 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin phi2))) in phi2
3.184 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2
3.184 * [taylor]: Taking taylor expansion of 1/6 in phi2
3.184 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
3.184 * [taylor]: Taking taylor expansion of phi2 in phi2
3.185 * [taylor]: Taking taylor expansion of 0 in phi2
3.185 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0
3.185 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2
3.185 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2
3.185 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
3.186 * [taylor]: Taking taylor expansion of phi1 in phi2
3.186 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2
3.186 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
3.186 * [taylor]: Taking taylor expansion of phi2 in phi2
3.186 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1
3.186 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1
3.186 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
3.186 * [taylor]: Taking taylor expansion of phi1 in phi1
3.186 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1
3.186 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
3.186 * [taylor]: Taking taylor expansion of phi2 in phi1
3.186 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1
3.186 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1
3.186 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
3.186 * [taylor]: Taking taylor expansion of phi1 in phi1
3.186 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1
3.186 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
3.186 * [taylor]: Taking taylor expansion of phi2 in phi1
3.186 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2
3.186 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2
3.186 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
3.186 * [taylor]: Taking taylor expansion of phi1 in phi2
3.186 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2
3.186 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
3.186 * [taylor]: Taking taylor expansion of phi2 in phi2
3.187 * [taylor]: Taking taylor expansion of 0 in phi2
3.188 * [taylor]: Taking taylor expansion of 0 in phi2
3.189 * [taylor]: Taking taylor expansion of 0 in phi2
3.189 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0
3.189 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2
3.189 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2
3.189 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
3.189 * [taylor]: Taking taylor expansion of -1 in phi2
3.189 * [taylor]: Taking taylor expansion of phi1 in phi2
3.189 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2
3.189 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
3.189 * [taylor]: Taking taylor expansion of -1 in phi2
3.189 * [taylor]: Taking taylor expansion of phi2 in phi2
3.189 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1
3.189 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1
3.189 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
3.189 * [taylor]: Taking taylor expansion of -1 in phi1
3.189 * [taylor]: Taking taylor expansion of phi1 in phi1
3.189 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1
3.189 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
3.189 * [taylor]: Taking taylor expansion of -1 in phi1
3.189 * [taylor]: Taking taylor expansion of phi2 in phi1
3.189 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1
3.189 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1
3.189 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
3.189 * [taylor]: Taking taylor expansion of -1 in phi1
3.189 * [taylor]: Taking taylor expansion of phi1 in phi1
3.189 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1
3.189 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
3.189 * [taylor]: Taking taylor expansion of -1 in phi1
3.189 * [taylor]: Taking taylor expansion of phi2 in phi1
3.190 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2
3.190 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2
3.190 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
3.190 * [taylor]: Taking taylor expansion of -1 in phi2
3.190 * [taylor]: Taking taylor expansion of phi1 in phi2
3.190 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2
3.190 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
3.190 * [taylor]: Taking taylor expansion of -1 in phi2
3.190 * [taylor]: Taking taylor expansion of phi2 in phi2
3.190 * [taylor]: Taking taylor expansion of 0 in phi2
3.191 * [taylor]: Taking taylor expansion of 0 in phi2
3.192 * [taylor]: Taking taylor expansion of 0 in phi2
3.192 * * * [progress]: simplifying candidates
3.193 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (* (cos lambda1) (cos (neg lambda2)))
  (* (sin lambda1) (sin (neg lambda2)))
  (* (cos lambda1) (cos (neg lambda2)))
  (* (sin lambda1) (sin (neg lambda2)))
  (* (cos lambda1) (cos lambda2))
  (* (sin lambda1) (sin lambda2))
  (log (cos (- lambda1 lambda2)))
  (exp (cos (- lambda1 lambda2)))
  (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2))))
  (cbrt (cos (- lambda1 lambda2)))
  (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2)))
  (sqrt (cos (- lambda1 lambda2)))
  (sqrt (cos (- lambda1 lambda2)))
  (/ PI 2)
  (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))
  (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))
  (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))
  (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))))
  (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))
  (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))
  (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))
  (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)
  (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (log R))
  (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
  (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
  (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (* R R) R))
  (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)))
  (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
  (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
  (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
  (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
  (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R))
  (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R))
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R)))
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (sqrt R))
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 1)
  (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R)
  (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R)
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)
  (- (cos (- phi1 phi2)) (cos (+ phi1 phi2)))
  (* (sin phi1) (sin phi2))
  (+ (log (sin phi1)) (log (sin phi2)))
  (log (* (sin phi1) (sin phi2)))
  (exp (* (sin phi1) (sin phi2)))
  (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))
  (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2))))
  (cbrt (* (sin phi1) (sin phi2)))
  (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))
  (sqrt (* (sin phi1) (sin phi2)))
  (sqrt (* (sin phi1) (sin phi2)))
  (* (sqrt (sin phi1)) (sqrt (sin phi2)))
  (* (sqrt (sin phi1)) (sqrt (sin phi2)))
  (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2))))
  (* (sin phi1) (sqrt (sin phi2)))
  (* (sin phi1) 1)
  (* (cbrt (sin phi1)) (sin phi2))
  (* (sqrt (sin phi1)) (sin phi2))
  (* (sin phi1) (sin phi2))
  (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2)))
  (cos (- lambda1 lambda2))
  (cos (- lambda1 lambda2))
  (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))))
  (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))))
  (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))))
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R)
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R)
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R)
  (* phi2 phi1)
  (* (sin phi1) (sin phi2))
  (* (sin phi1) (sin phi2))
3.197 * * [simplify]: iteration  0 :  200  enodes  (cost  661 )
3.200 * * [simplify]: iteration  1 :  565  enodes  (cost  569 )
3.209 * * [simplify]: iteration  2 :  1790  enodes  (cost  569 )
3.235 * * [simplify]: iteration  3 :  5001  enodes  (cost  569 )
3.238 * [simplify]: Simplified to:
   (* (cos lambda1) (cos lambda2))
  (* (sin lambda1) (sin (neg lambda2)))
  (* (cos lambda1) (cos lambda2))
  (* (sin lambda1) (sin (neg lambda2)))
  (* (cos lambda1) (cos lambda2))
  (* (sin lambda1) (sin lambda2))
  (log (cos (- lambda1 lambda2)))
  (exp (cos (- lambda1 lambda2)))
  (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2))))
  (cbrt (cos (- lambda1 lambda2)))
  (pow (cos (- lambda1 lambda2)) 3)
  (sqrt (cos (- lambda1 lambda2)))
  (sqrt (cos (- lambda1 lambda2)))
  (/ PI 2)
  (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))
  (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))
  (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))
  (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))))
  (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))
  (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 3)
  (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))
  (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R)
  (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
  (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
  (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
  (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) 3)
  (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)))
  (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
  (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) 3)
  (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
  (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
  (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R))
  (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R))
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R)))
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (sqrt R))
  (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))
  (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R)
  (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R)
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R)
  (- (cos (- phi1 phi2)) (cos (+ phi1 phi2)))
  (* (sin phi1) (sin phi2))
  (log (* (sin phi1) (sin phi2)))
  (log (* (sin phi1) (sin phi2)))
  (exp (* (sin phi1) (sin phi2)))
  (pow (* (sin phi1) (sin phi2)) 3)
  (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2))))
  (cbrt (* (sin phi1) (sin phi2)))
  (pow (* (sin phi1) (sin phi2)) 3)
  (sqrt (* (sin phi1) (sin phi2)))
  (sqrt (* (sin phi1) (sin phi2)))
  (* (sqrt (sin phi1)) (sqrt (sin phi2)))
  (* (sqrt (sin phi1)) (sqrt (sin phi2)))
  (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2))))
  (* (sin phi1) (sqrt (sin phi2)))
  (sin phi1)
  (* (cbrt (sin phi1)) (sin phi2))
  (* (sqrt (sin phi1)) (sin phi2))
  (* (sin phi1) (sin phi2))
  (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2)))
  (cos (- lambda1 lambda2))
  (cos (- lambda1 lambda2))
  (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))
  (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))
  (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R)
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R)
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R)
  (* phi2 phi1)
  (* (sin phi1) (sin phi2))
  (* (sin phi1) (sin phi2))
3.239 * * * [progress]: adding candidates to table
3.330 * * [progress]: iteration 2 / 4
3.330 * * * [progress]: picking best candidate
3.406 * * * * [pick]: Picked  #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
3.406 * * * [progress]: localizing error
3.438 * * * [progress]: generating rewritten candidates
3.438 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1)
3.440 * * * * [progress]: [ 2 / 4 ] rewriting at (2)
3.444 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1)
3.448 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2)
3.460 * * * [progress]: generating series expansions
3.460 * * * * [progress]: [ 1 / 4 ] generating series at (2 1)
3.461 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0
3.461 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
3.461 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
3.462 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
3.462 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
3.462 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
3.463 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
3.463 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
3.463 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
3.464 * [taylor]: Taking taylor expansion of 0 in phi2
3.464 * [taylor]: Taking taylor expansion of 0 in lambda1
3.464 * [taylor]: Taking taylor expansion of 0 in lambda2
3.464 * [taylor]: Taking taylor expansion of 0 in lambda1
3.464 * [taylor]: Taking taylor expansion of 0 in lambda2
3.464 * [taylor]: Taking taylor expansion of 0 in lambda2
3.464 * [taylor]: Taking taylor expansion of 0 in phi2
3.464 * [taylor]: Taking taylor expansion of 0 in lambda1
3.464 * [taylor]: Taking taylor expansion of 0 in lambda2
3.464 * [taylor]: Taking taylor expansion of 0 in lambda1
3.464 * [taylor]: Taking taylor expansion of 0 in lambda2
3.465 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0
3.465 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
3.465 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
3.465 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
3.466 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
3.466 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
3.466 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
3.467 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
3.467 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
3.468 * [taylor]: Taking taylor expansion of 0 in phi2
3.468 * [taylor]: Taking taylor expansion of 0 in lambda1
3.468 * [taylor]: Taking taylor expansion of 0 in lambda2
3.468 * [taylor]: Taking taylor expansion of 0 in lambda1
3.468 * [taylor]: Taking taylor expansion of 0 in lambda2
3.468 * [taylor]: Taking taylor expansion of 0 in lambda2
3.468 * [taylor]: Taking taylor expansion of 0 in phi2
3.468 * [taylor]: Taking taylor expansion of 0 in lambda1
3.468 * [taylor]: Taking taylor expansion of 0 in lambda2
3.468 * [taylor]: Taking taylor expansion of 0 in lambda1
3.468 * [taylor]: Taking taylor expansion of 0 in lambda2
3.469 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0
3.469 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
3.469 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
3.470 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
3.470 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
3.471 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
3.471 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
3.471 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
3.472 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
3.473 * [taylor]: Taking taylor expansion of 0 in phi2
3.473 * [taylor]: Taking taylor expansion of 0 in lambda1
3.473 * [taylor]: Taking taylor expansion of 0 in lambda2
3.473 * [taylor]: Taking taylor expansion of 0 in lambda1
3.473 * [taylor]: Taking taylor expansion of 0 in lambda2
3.473 * [taylor]: Taking taylor expansion of 0 in lambda2
3.473 * [taylor]: Taking taylor expansion of 0 in phi2
3.473 * [taylor]: Taking taylor expansion of 0 in lambda1
3.473 * [taylor]: Taking taylor expansion of 0 in lambda2
3.473 * [taylor]: Taking taylor expansion of 0 in lambda1
3.473 * [taylor]: Taking taylor expansion of 0 in lambda2
3.473 * * * * [progress]: [ 2 / 4 ] generating series at (2)
3.474 * [approximate]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0
3.474 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R
3.474 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R
3.474 * [taylor]: Taking taylor expansion of R in R
3.474 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2
3.474 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
3.474 * [taylor]: Taking taylor expansion of R in lambda2
3.474 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1
3.474 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
3.475 * [taylor]: Taking taylor expansion of R in lambda1
3.475 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2
3.475 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
3.475 * [taylor]: Taking taylor expansion of R in phi2
3.475 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1
3.475 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
3.475 * [taylor]: Taking taylor expansion of R in phi1
3.475 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1
3.475 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
3.475 * [taylor]: Taking taylor expansion of R in phi1
3.476 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2
3.476 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
3.476 * [taylor]: Taking taylor expansion of R in phi2
3.476 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1
3.476 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
3.477 * [taylor]: Taking taylor expansion of R in lambda1
3.477 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2
3.477 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
3.477 * [taylor]: Taking taylor expansion of R in lambda2
3.478 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R
3.478 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R
3.478 * [taylor]: Taking taylor expansion of R in R
3.478 * [taylor]: Taking taylor expansion of 0 in phi2
3.478 * [taylor]: Taking taylor expansion of 0 in lambda1
3.478 * [taylor]: Taking taylor expansion of 0 in lambda2
3.478 * [taylor]: Taking taylor expansion of 0 in R
3.479 * [taylor]: Taking taylor expansion of 0 in lambda1
3.479 * [taylor]: Taking taylor expansion of 0 in lambda2
3.479 * [taylor]: Taking taylor expansion of 0 in R
3.479 * [taylor]: Taking taylor expansion of 0 in lambda2
3.479 * [taylor]: Taking taylor expansion of 0 in R
3.479 * [taylor]: Taking taylor expansion of 0 in R
3.480 * [taylor]: Taking taylor expansion of 0 in phi2
3.480 * [taylor]: Taking taylor expansion of 0 in lambda1
3.480 * [taylor]: Taking taylor expansion of 0 in lambda2
3.480 * [taylor]: Taking taylor expansion of 0 in R
3.480 * [taylor]: Taking taylor expansion of 0 in lambda1
3.480 * [taylor]: Taking taylor expansion of 0 in lambda2
3.480 * [taylor]: Taking taylor expansion of 0 in R
3.481 * [taylor]: Taking taylor expansion of 0 in lambda1
3.481 * [taylor]: Taking taylor expansion of 0 in lambda2
3.481 * [taylor]: Taking taylor expansion of 0 in R
3.481 * [taylor]: Taking taylor expansion of 0 in lambda2
3.481 * [taylor]: Taking taylor expansion of 0 in R
3.481 * [taylor]: Taking taylor expansion of 0 in lambda2
3.481 * [taylor]: Taking taylor expansion of 0 in R
3.481 * [taylor]: Taking taylor expansion of 0 in lambda2
3.481 * [taylor]: Taking taylor expansion of 0 in R
3.482 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0
3.482 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R
3.482 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R
3.482 * [taylor]: Taking taylor expansion of R in R
3.483 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2
3.483 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
3.483 * [taylor]: Taking taylor expansion of R in lambda2
3.483 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1
3.484 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
3.484 * [taylor]: Taking taylor expansion of R in lambda1
3.484 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2
3.484 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
3.485 * [taylor]: Taking taylor expansion of R in phi2
3.485 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1
3.485 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
3.485 * [taylor]: Taking taylor expansion of R in phi1
3.486 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1
3.486 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
3.486 * [taylor]: Taking taylor expansion of R in phi1
3.487 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2
3.487 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
3.487 * [taylor]: Taking taylor expansion of R in phi2
3.487 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1
3.487 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
3.488 * [taylor]: Taking taylor expansion of R in lambda1
3.488 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2
3.488 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
3.489 * [taylor]: Taking taylor expansion of R in lambda2
3.489 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R
3.489 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R
3.489 * [taylor]: Taking taylor expansion of R in R
3.491 * [taylor]: Taking taylor expansion of 0 in phi2
3.491 * [taylor]: Taking taylor expansion of 0 in lambda1
3.491 * [taylor]: Taking taylor expansion of 0 in lambda2
3.491 * [taylor]: Taking taylor expansion of 0 in R
3.491 * [taylor]: Taking taylor expansion of 0 in lambda1
3.491 * [taylor]: Taking taylor expansion of 0 in lambda2
3.491 * [taylor]: Taking taylor expansion of 0 in R
3.491 * [taylor]: Taking taylor expansion of 0 in lambda2
3.492 * [taylor]: Taking taylor expansion of 0 in R
3.492 * [taylor]: Taking taylor expansion of 0 in R
3.493 * [taylor]: Taking taylor expansion of 0 in phi2
3.493 * [taylor]: Taking taylor expansion of 0 in lambda1
3.493 * [taylor]: Taking taylor expansion of 0 in lambda2
3.493 * [taylor]: Taking taylor expansion of 0 in R
3.493 * [taylor]: Taking taylor expansion of 0 in lambda1
3.493 * [taylor]: Taking taylor expansion of 0 in lambda2
3.493 * [taylor]: Taking taylor expansion of 0 in R
3.493 * [taylor]: Taking taylor expansion of 0 in lambda1
3.493 * [taylor]: Taking taylor expansion of 0 in lambda2
3.493 * [taylor]: Taking taylor expansion of 0 in R
3.493 * [taylor]: Taking taylor expansion of 0 in lambda2
3.493 * [taylor]: Taking taylor expansion of 0 in R
3.493 * [taylor]: Taking taylor expansion of 0 in lambda2
3.493 * [taylor]: Taking taylor expansion of 0 in R
3.494 * [taylor]: Taking taylor expansion of 0 in lambda2
3.494 * [taylor]: Taking taylor expansion of 0 in R
3.494 * [taylor]: Taking taylor expansion of 0 in R
3.494 * [taylor]: Taking taylor expansion of 0 in R
3.494 * [taylor]: Taking taylor expansion of 0 in R
3.494 * [taylor]: Taking taylor expansion of 0 in R
3.496 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0
3.496 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R
3.496 * [taylor]: Taking taylor expansion of -1 in R
3.496 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R
3.496 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R
3.496 * [taylor]: Taking taylor expansion of R in R
3.497 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2
3.497 * [taylor]: Taking taylor expansion of -1 in lambda2
3.497 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2
3.497 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
3.497 * [taylor]: Taking taylor expansion of R in lambda2
3.498 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1
3.498 * [taylor]: Taking taylor expansion of -1 in lambda1
3.498 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1
3.498 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
3.498 * [taylor]: Taking taylor expansion of R in lambda1
3.498 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2
3.498 * [taylor]: Taking taylor expansion of -1 in phi2
3.498 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2
3.499 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
3.499 * [taylor]: Taking taylor expansion of R in phi2
3.499 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1
3.499 * [taylor]: Taking taylor expansion of -1 in phi1
3.499 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1
3.499 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
3.500 * [taylor]: Taking taylor expansion of R in phi1
3.500 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1
3.500 * [taylor]: Taking taylor expansion of -1 in phi1
3.500 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1
3.500 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
3.500 * [taylor]: Taking taylor expansion of R in phi1
3.501 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2
3.501 * [taylor]: Taking taylor expansion of -1 in phi2
3.501 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2
3.501 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
3.502 * [taylor]: Taking taylor expansion of R in phi2
3.502 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1
3.502 * [taylor]: Taking taylor expansion of -1 in lambda1
3.502 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1
3.502 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
3.503 * [taylor]: Taking taylor expansion of R in lambda1
3.504 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2
3.504 * [taylor]: Taking taylor expansion of -1 in lambda2
3.504 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2
3.504 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
3.504 * [taylor]: Taking taylor expansion of R in lambda2
3.505 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R
3.505 * [taylor]: Taking taylor expansion of -1 in R
3.505 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R
3.505 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R
3.505 * [taylor]: Taking taylor expansion of R in R
3.507 * [taylor]: Taking taylor expansion of 0 in phi2
3.507 * [taylor]: Taking taylor expansion of 0 in lambda1
3.507 * [taylor]: Taking taylor expansion of 0 in lambda2
3.507 * [taylor]: Taking taylor expansion of 0 in R
3.508 * [taylor]: Taking taylor expansion of 0 in lambda1
3.508 * [taylor]: Taking taylor expansion of 0 in lambda2
3.508 * [taylor]: Taking taylor expansion of 0 in R
3.509 * [taylor]: Taking taylor expansion of 0 in lambda2
3.509 * [taylor]: Taking taylor expansion of 0 in R
3.510 * [taylor]: Taking taylor expansion of 0 in R
3.511 * [taylor]: Taking taylor expansion of 0 in phi2
3.511 * [taylor]: Taking taylor expansion of 0 in lambda1
3.511 * [taylor]: Taking taylor expansion of 0 in lambda2
3.511 * [taylor]: Taking taylor expansion of 0 in R
3.511 * [taylor]: Taking taylor expansion of 0 in lambda1
3.511 * [taylor]: Taking taylor expansion of 0 in lambda2
3.511 * [taylor]: Taking taylor expansion of 0 in R
3.512 * [taylor]: Taking taylor expansion of 0 in lambda1
3.512 * [taylor]: Taking taylor expansion of 0 in lambda2
3.512 * [taylor]: Taking taylor expansion of 0 in R
3.512 * [taylor]: Taking taylor expansion of 0 in lambda2
3.512 * [taylor]: Taking taylor expansion of 0 in R
3.512 * [taylor]: Taking taylor expansion of 0 in lambda2
3.512 * [taylor]: Taking taylor expansion of 0 in R
3.513 * [taylor]: Taking taylor expansion of 0 in lambda2
3.513 * [taylor]: Taking taylor expansion of 0 in R
3.513 * [taylor]: Taking taylor expansion of 0 in R
3.513 * [taylor]: Taking taylor expansion of 0 in R
3.513 * [taylor]: Taking taylor expansion of 0 in R
3.514 * [taylor]: Taking taylor expansion of 0 in R
3.515 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1)
3.515 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0
3.515 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2
3.515 * [taylor]: Taking taylor expansion of (sin phi1) in phi2
3.515 * [taylor]: Taking taylor expansion of phi1 in phi2
3.515 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
3.515 * [taylor]: Taking taylor expansion of phi2 in phi2
3.515 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1
3.515 * [taylor]: Taking taylor expansion of (sin phi1) in phi1
3.516 * [taylor]: Taking taylor expansion of phi1 in phi1
3.516 * [taylor]: Taking taylor expansion of (sin phi2) in phi1
3.516 * [taylor]: Taking taylor expansion of phi2 in phi1
3.516 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1
3.516 * [taylor]: Taking taylor expansion of (sin phi1) in phi1
3.516 * [taylor]: Taking taylor expansion of phi1 in phi1
3.516 * [taylor]: Taking taylor expansion of (sin phi2) in phi1
3.516 * [taylor]: Taking taylor expansion of phi2 in phi1
3.516 * [taylor]: Taking taylor expansion of 0 in phi2
3.516 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
3.516 * [taylor]: Taking taylor expansion of phi2 in phi2
3.516 * [taylor]: Taking taylor expansion of 0 in phi2
3.517 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin phi2))) in phi2
3.517 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2
3.517 * [taylor]: Taking taylor expansion of 1/6 in phi2
3.517 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
3.517 * [taylor]: Taking taylor expansion of phi2 in phi2
3.518 * [taylor]: Taking taylor expansion of 0 in phi2
3.518 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0
3.518 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2
3.518 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2
3.518 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
3.518 * [taylor]: Taking taylor expansion of phi1 in phi2
3.518 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2
3.518 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
3.518 * [taylor]: Taking taylor expansion of phi2 in phi2
3.518 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1
3.518 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1
3.518 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
3.518 * [taylor]: Taking taylor expansion of phi1 in phi1
3.519 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1
3.519 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
3.519 * [taylor]: Taking taylor expansion of phi2 in phi1
3.519 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1
3.519 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1
3.519 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
3.519 * [taylor]: Taking taylor expansion of phi1 in phi1
3.519 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1
3.519 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
3.519 * [taylor]: Taking taylor expansion of phi2 in phi1
3.519 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2
3.519 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2
3.519 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
3.519 * [taylor]: Taking taylor expansion of phi1 in phi2
3.519 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2
3.519 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
3.519 * [taylor]: Taking taylor expansion of phi2 in phi2
3.520 * [taylor]: Taking taylor expansion of 0 in phi2
3.520 * [taylor]: Taking taylor expansion of 0 in phi2
3.523 * [taylor]: Taking taylor expansion of 0 in phi2
3.523 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0
3.523 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2
3.523 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2
3.523 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
3.523 * [taylor]: Taking taylor expansion of -1 in phi2
3.523 * [taylor]: Taking taylor expansion of phi1 in phi2
3.524 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2
3.524 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
3.524 * [taylor]: Taking taylor expansion of -1 in phi2
3.524 * [taylor]: Taking taylor expansion of phi2 in phi2
3.524 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1
3.524 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1
3.524 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
3.524 * [taylor]: Taking taylor expansion of -1 in phi1
3.524 * [taylor]: Taking taylor expansion of phi1 in phi1
3.524 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1
3.524 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
3.524 * [taylor]: Taking taylor expansion of -1 in phi1
3.524 * [taylor]: Taking taylor expansion of phi2 in phi1
3.524 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1
3.524 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1
3.524 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
3.524 * [taylor]: Taking taylor expansion of -1 in phi1
3.524 * [taylor]: Taking taylor expansion of phi1 in phi1
3.524 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1
3.524 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
3.524 * [taylor]: Taking taylor expansion of -1 in phi1
3.524 * [taylor]: Taking taylor expansion of phi2 in phi1
3.524 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2
3.524 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2
3.524 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
3.524 * [taylor]: Taking taylor expansion of -1 in phi2
3.524 * [taylor]: Taking taylor expansion of phi1 in phi2
3.524 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2
3.524 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
3.525 * [taylor]: Taking taylor expansion of -1 in phi2
3.525 * [taylor]: Taking taylor expansion of phi2 in phi2
3.525 * [taylor]: Taking taylor expansion of 0 in phi2
3.526 * [taylor]: Taking taylor expansion of 0 in phi2
3.527 * [taylor]: Taking taylor expansion of 0 in phi2
3.527 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2)
3.527 * [approximate]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in (phi1 phi2 lambda1 lambda2) around 0
3.527 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in lambda2
3.527 * [taylor]: Taking taylor expansion of (cos phi1) in lambda2
3.527 * [taylor]: Taking taylor expansion of phi1 in lambda2
3.527 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in lambda2
3.527 * [taylor]: Taking taylor expansion of (cos phi2) in lambda2
3.527 * [taylor]: Taking taylor expansion of phi2 in lambda2
3.527 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in lambda2
3.527 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda2
3.527 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda2
3.527 * [taylor]: Taking taylor expansion of lambda1 in lambda2
3.527 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2
3.527 * [taylor]: Taking taylor expansion of lambda2 in lambda2
3.527 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2
3.527 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2
3.527 * [taylor]: Taking taylor expansion of lambda1 in lambda2
3.527 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2
3.527 * [taylor]: Taking taylor expansion of lambda2 in lambda2
3.527 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in lambda1
3.527 * [taylor]: Taking taylor expansion of (cos phi1) in lambda1
3.527 * [taylor]: Taking taylor expansion of phi1 in lambda1
3.527 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in lambda1
3.527 * [taylor]: Taking taylor expansion of (cos phi2) in lambda1
3.527 * [taylor]: Taking taylor expansion of phi2 in lambda1
3.528 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in lambda1
3.528 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1
3.528 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1
3.528 * [taylor]: Taking taylor expansion of lambda1 in lambda1
3.528 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1
3.528 * [taylor]: Taking taylor expansion of lambda2 in lambda1
3.528 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1
3.528 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1
3.528 * [taylor]: Taking taylor expansion of lambda1 in lambda1
3.528 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1
3.528 * [taylor]: Taking taylor expansion of lambda2 in lambda1
3.528 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in phi2
3.528 * [taylor]: Taking taylor expansion of (cos phi1) in phi2
3.528 * [taylor]: Taking taylor expansion of phi1 in phi2
3.528 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in phi2
3.528 * [taylor]: Taking taylor expansion of (cos phi2) in phi2
3.528 * [taylor]: Taking taylor expansion of phi2 in phi2
3.528 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in phi2
3.528 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi2
3.528 * [taylor]: Taking taylor expansion of (cos lambda1) in phi2
3.528 * [taylor]: Taking taylor expansion of lambda1 in phi2
3.528 * [taylor]: Taking taylor expansion of (cos lambda2) in phi2
3.528 * [taylor]: Taking taylor expansion of lambda2 in phi2
3.528 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi2
3.528 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2
3.528 * [taylor]: Taking taylor expansion of lambda1 in phi2
3.528 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2
3.528 * [taylor]: Taking taylor expansion of lambda2 in phi2
3.528 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in phi1
3.528 * [taylor]: Taking taylor expansion of (cos phi1) in phi1
3.528 * [taylor]: Taking taylor expansion of phi1 in phi1
3.528 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in phi1
3.528 * [taylor]: Taking taylor expansion of (cos phi2) in phi1
3.528 * [taylor]: Taking taylor expansion of phi2 in phi1
3.528 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in phi1
3.528 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi1
3.528 * [taylor]: Taking taylor expansion of (cos lambda1) in phi1
3.528 * [taylor]: Taking taylor expansion of lambda1 in phi1
3.528 * [taylor]: Taking taylor expansion of (cos lambda2) in phi1
3.528 * [taylor]: Taking taylor expansion of lambda2 in phi1
3.528 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi1
3.528 * [taylor]: Taking taylor expansion of (sin lambda1) in phi1
3.528 * [taylor]: Taking taylor expansion of lambda1 in phi1
3.529 * [taylor]: Taking taylor expansion of (sin lambda2) in phi1
3.529 * [taylor]: Taking taylor expansion of lambda2 in phi1
3.529 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in phi1
3.529 * [taylor]: Taking taylor expansion of (cos phi1) in phi1
3.529 * [taylor]: Taking taylor expansion of phi1 in phi1
3.529 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in phi1
3.529 * [taylor]: Taking taylor expansion of (cos phi2) in phi1
3.529 * [taylor]: Taking taylor expansion of phi2 in phi1
3.529 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in phi1
3.529 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi1
3.529 * [taylor]: Taking taylor expansion of (cos lambda1) in phi1
3.529 * [taylor]: Taking taylor expansion of lambda1 in phi1
3.529 * [taylor]: Taking taylor expansion of (cos lambda2) in phi1
3.529 * [taylor]: Taking taylor expansion of lambda2 in phi1
3.529 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi1
3.529 * [taylor]: Taking taylor expansion of (sin lambda1) in phi1
3.529 * [taylor]: Taking taylor expansion of lambda1 in phi1
3.529 * [taylor]: Taking taylor expansion of (sin lambda2) in phi1
3.529 * [taylor]: Taking taylor expansion of lambda2 in phi1
3.530 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in phi2
3.530 * [taylor]: Taking taylor expansion of (cos phi2) in phi2
3.530 * [taylor]: Taking taylor expansion of phi2 in phi2
3.530 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in phi2
3.530 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi2
3.530 * [taylor]: Taking taylor expansion of (cos lambda1) in phi2
3.530 * [taylor]: Taking taylor expansion of lambda1 in phi2
3.530 * [taylor]: Taking taylor expansion of (cos lambda2) in phi2
3.530 * [taylor]: Taking taylor expansion of lambda2 in phi2
3.530 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi2
3.530 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2
3.530 * [taylor]: Taking taylor expansion of lambda1 in phi2
3.530 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2
3.530 * [taylor]: Taking taylor expansion of lambda2 in phi2
3.530 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in lambda1
3.530 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1
3.530 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1
3.530 * [taylor]: Taking taylor expansion of lambda1 in lambda1
3.530 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1
3.531 * [taylor]: Taking taylor expansion of lambda2 in lambda1
3.531 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1
3.531 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1
3.531 * [taylor]: Taking taylor expansion of lambda1 in lambda1
3.531 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1
3.531 * [taylor]: Taking taylor expansion of lambda2 in lambda1
3.531 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2
3.531 * [taylor]: Taking taylor expansion of lambda2 in lambda2
3.532 * [taylor]: Taking taylor expansion of 0 in phi2
3.532 * [taylor]: Taking taylor expansion of 0 in lambda1
3.532 * [taylor]: Taking taylor expansion of 0 in lambda2
3.533 * [taylor]: Taking taylor expansion of 0 in lambda1
3.533 * [taylor]: Taking taylor expansion of 0 in lambda2
3.533 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2
3.533 * [taylor]: Taking taylor expansion of lambda2 in lambda2
3.535 * [taylor]: Taking taylor expansion of (neg (+ (* 1/2 (* (cos lambda1) (* (cos phi2) (cos lambda2)))) (* 1/2 (* (sin lambda1) (* (cos phi2) (sin lambda2)))))) in phi2
3.535 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (cos lambda1) (* (cos phi2) (cos lambda2)))) (* 1/2 (* (sin lambda1) (* (cos phi2) (sin lambda2))))) in phi2
3.535 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos lambda1) (* (cos phi2) (cos lambda2)))) in phi2
3.535 * [taylor]: Taking taylor expansion of 1/2 in phi2
3.535 * [taylor]: Taking taylor expansion of (* (cos lambda1) (* (cos phi2) (cos lambda2))) in phi2
3.535 * [taylor]: Taking taylor expansion of (cos lambda1) in phi2
3.535 * [taylor]: Taking taylor expansion of lambda1 in phi2
3.535 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos lambda2)) in phi2
3.535 * [taylor]: Taking taylor expansion of (cos phi2) in phi2
3.535 * [taylor]: Taking taylor expansion of phi2 in phi2
3.535 * [taylor]: Taking taylor expansion of (cos lambda2) in phi2
3.535 * [taylor]: Taking taylor expansion of lambda2 in phi2
3.535 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (* (cos phi2) (sin lambda2)))) in phi2
3.535 * [taylor]: Taking taylor expansion of 1/2 in phi2
3.535 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi2) (sin lambda2))) in phi2
3.535 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2
3.535 * [taylor]: Taking taylor expansion of lambda1 in phi2
3.535 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in phi2
3.535 * [taylor]: Taking taylor expansion of (cos phi2) in phi2
3.535 * [taylor]: Taking taylor expansion of phi2 in phi2
3.535 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2
3.535 * [taylor]: Taking taylor expansion of lambda2 in phi2
3.536 * [taylor]: Taking taylor expansion of (neg (+ (* 1/2 (* (cos lambda1) (cos lambda2))) (* 1/2 (* (sin lambda1) (sin lambda2))))) in lambda1
3.536 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (cos lambda1) (cos lambda2))) (* 1/2 (* (sin lambda1) (sin lambda2)))) in lambda1
3.536 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos lambda1) (cos lambda2))) in lambda1
3.536 * [taylor]: Taking taylor expansion of 1/2 in lambda1
3.536 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1
3.536 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1
3.536 * [taylor]: Taking taylor expansion of lambda1 in lambda1
3.536 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1
3.536 * [taylor]: Taking taylor expansion of lambda2 in lambda1
3.536 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (sin lambda2))) in lambda1
3.536 * [taylor]: Taking taylor expansion of 1/2 in lambda1
3.536 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1
3.536 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1
3.536 * [taylor]: Taking taylor expansion of lambda1 in lambda1
3.536 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1
3.536 * [taylor]: Taking taylor expansion of lambda2 in lambda1
3.536 * [taylor]: Taking taylor expansion of (neg (* 1/2 (cos lambda2))) in lambda2
3.536 * [taylor]: Taking taylor expansion of (* 1/2 (cos lambda2)) in lambda2
3.536 * [taylor]: Taking taylor expansion of 1/2 in lambda2
3.536 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2
3.536 * [taylor]: Taking taylor expansion of lambda2 in lambda2
3.536 * [taylor]: Taking taylor expansion of 0 in lambda1
3.536 * [taylor]: Taking taylor expansion of 0 in lambda2
3.538 * [taylor]: Taking taylor expansion of (neg (+ (* 1/2 (* (cos lambda1) (cos lambda2))) (* 1/2 (* (sin lambda1) (sin lambda2))))) in lambda1
3.538 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (cos lambda1) (cos lambda2))) (* 1/2 (* (sin lambda1) (sin lambda2)))) in lambda1
3.538 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos lambda1) (cos lambda2))) in lambda1
3.538 * [taylor]: Taking taylor expansion of 1/2 in lambda1
3.538 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1
3.538 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1
3.538 * [taylor]: Taking taylor expansion of lambda1 in lambda1
3.538 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1
3.538 * [taylor]: Taking taylor expansion of lambda2 in lambda1
3.538 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (sin lambda2))) in lambda1
3.538 * [taylor]: Taking taylor expansion of 1/2 in lambda1
3.538 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1
3.538 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1
3.538 * [taylor]: Taking taylor expansion of lambda1 in lambda1
3.538 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1
3.538 * [taylor]: Taking taylor expansion of lambda2 in lambda1
3.538 * [taylor]: Taking taylor expansion of (neg (* 1/2 (cos lambda2))) in lambda2
3.538 * [taylor]: Taking taylor expansion of (* 1/2 (cos lambda2)) in lambda2
3.538 * [taylor]: Taking taylor expansion of 1/2 in lambda2
3.538 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2
3.538 * [taylor]: Taking taylor expansion of lambda2 in lambda2
3.539 * [approximate]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in (phi1 phi2 lambda1 lambda2) around 0
3.539 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in lambda2
3.539 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2
3.539 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
3.539 * [taylor]: Taking taylor expansion of phi2 in lambda2
3.539 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in lambda2
3.539 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2
3.539 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
3.539 * [taylor]: Taking taylor expansion of phi1 in lambda2
3.539 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda2
3.539 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2
3.539 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2
3.539 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
3.539 * [taylor]: Taking taylor expansion of lambda1 in lambda2
3.539 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2
3.539 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
3.539 * [taylor]: Taking taylor expansion of lambda2 in lambda2
3.539 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda2
3.539 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda2
3.539 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
3.539 * [taylor]: Taking taylor expansion of lambda2 in lambda2
3.539 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda2
3.539 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
3.539 * [taylor]: Taking taylor expansion of lambda1 in lambda2
3.539 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in lambda1
3.539 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1
3.540 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1
3.540 * [taylor]: Taking taylor expansion of phi2 in lambda1
3.540 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in lambda1
3.540 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1
3.540 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1
3.540 * [taylor]: Taking taylor expansion of phi1 in lambda1
3.540 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda1
3.540 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1
3.540 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1
3.540 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
3.540 * [taylor]: Taking taylor expansion of lambda1 in lambda1
3.540 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1
3.540 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
3.540 * [taylor]: Taking taylor expansion of lambda2 in lambda1
3.540 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda1
3.540 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda1
3.540 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
3.540 * [taylor]: Taking taylor expansion of lambda2 in lambda1
3.540 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda1
3.540 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
3.540 * [taylor]: Taking taylor expansion of lambda1 in lambda1
3.540 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in phi2
3.540 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2
3.540 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
3.540 * [taylor]: Taking taylor expansion of phi2 in phi2
3.540 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in phi2
3.540 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2
3.540 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
3.540 * [taylor]: Taking taylor expansion of phi1 in phi2
3.540 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi2
3.540 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in phi2
3.540 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi2
3.540 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2
3.540 * [taylor]: Taking taylor expansion of lambda1 in phi2
3.541 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi2
3.541 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2
3.541 * [taylor]: Taking taylor expansion of lambda2 in phi2
3.541 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi2
3.541 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi2
3.541 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2
3.541 * [taylor]: Taking taylor expansion of lambda2 in phi2
3.541 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi2
3.541 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2
3.541 * [taylor]: Taking taylor expansion of lambda1 in phi2
3.541 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in phi1
3.541 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1
3.541 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
3.541 * [taylor]: Taking taylor expansion of phi2 in phi1
3.541 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in phi1
3.541 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1
3.541 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
3.541 * [taylor]: Taking taylor expansion of phi1 in phi1
3.541 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi1
3.541 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in phi1
3.541 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi1
3.541 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1
3.541 * [taylor]: Taking taylor expansion of lambda1 in phi1
3.541 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi1
3.541 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1
3.541 * [taylor]: Taking taylor expansion of lambda2 in phi1
3.541 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi1
3.541 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi1
3.541 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1
3.541 * [taylor]: Taking taylor expansion of lambda2 in phi1
3.541 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi1
3.542 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1
3.542 * [taylor]: Taking taylor expansion of lambda1 in phi1
3.542 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in phi1
3.542 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1
3.542 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
3.542 * [taylor]: Taking taylor expansion of phi2 in phi1
3.542 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in phi1
3.542 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1
3.542 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
3.542 * [taylor]: Taking taylor expansion of phi1 in phi1
3.542 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi1
3.542 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in phi1
3.542 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi1
3.542 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1
3.542 * [taylor]: Taking taylor expansion of lambda1 in phi1
3.542 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi1
3.542 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1
3.542 * [taylor]: Taking taylor expansion of lambda2 in phi1
3.542 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi1
3.542 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi1
3.542 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1
3.542 * [taylor]: Taking taylor expansion of lambda2 in phi1
3.542 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi1
3.542 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1
3.542 * [taylor]: Taking taylor expansion of lambda1 in phi1
3.543 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in phi2
3.543 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2
3.543 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
3.543 * [taylor]: Taking taylor expansion of phi2 in phi2
3.543 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in phi2
3.543 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2
3.543 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
3.543 * [taylor]: Taking taylor expansion of phi1 in phi2
3.544 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi2
3.544 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in phi2
3.544 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi2
3.544 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2
3.544 * [taylor]: Taking taylor expansion of lambda1 in phi2
3.544 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi2
3.544 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2
3.544 * [taylor]: Taking taylor expansion of lambda2 in phi2
3.544 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi2
3.544 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi2
3.544 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2
3.544 * [taylor]: Taking taylor expansion of lambda2 in phi2
3.544 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi2
3.544 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2
3.544 * [taylor]: Taking taylor expansion of lambda1 in phi2
3.545 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in lambda1
3.545 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1
3.545 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1
3.545 * [taylor]: Taking taylor expansion of phi2 in lambda1
3.545 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in lambda1
3.545 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1
3.545 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1
3.545 * [taylor]: Taking taylor expansion of phi1 in lambda1
3.545 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda1
3.545 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1
3.545 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1
3.545 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
3.545 * [taylor]: Taking taylor expansion of lambda1 in lambda1
3.545 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1
3.545 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
3.545 * [taylor]: Taking taylor expansion of lambda2 in lambda1
3.545 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda1
3.545 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda1
3.545 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
3.545 * [taylor]: Taking taylor expansion of lambda2 in lambda1
3.546 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda1
3.546 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
3.546 * [taylor]: Taking taylor expansion of lambda1 in lambda1
3.547 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in lambda2
3.547 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2
3.547 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
3.547 * [taylor]: Taking taylor expansion of phi2 in lambda2
3.547 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in lambda2
3.547 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2
3.547 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
3.547 * [taylor]: Taking taylor expansion of phi1 in lambda2
3.547 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda2
3.547 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2
3.547 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2
3.547 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
3.547 * [taylor]: Taking taylor expansion of lambda1 in lambda2
3.547 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2
3.547 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
3.547 * [taylor]: Taking taylor expansion of lambda2 in lambda2
3.547 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda2
3.547 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda2
3.547 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
3.547 * [taylor]: Taking taylor expansion of lambda2 in lambda2
3.547 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda2
3.547 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
3.547 * [taylor]: Taking taylor expansion of lambda1 in lambda2
3.550 * [taylor]: Taking taylor expansion of 0 in phi2
3.550 * [taylor]: Taking taylor expansion of 0 in lambda1
3.550 * [taylor]: Taking taylor expansion of 0 in lambda2
3.551 * [taylor]: Taking taylor expansion of 0 in lambda1
3.551 * [taylor]: Taking taylor expansion of 0 in lambda2
3.552 * [taylor]: Taking taylor expansion of 0 in lambda2
3.555 * [taylor]: Taking taylor expansion of 0 in phi2
3.555 * [taylor]: Taking taylor expansion of 0 in lambda1
3.555 * [taylor]: Taking taylor expansion of 0 in lambda2
3.556 * [taylor]: Taking taylor expansion of 0 in lambda1
3.556 * [taylor]: Taking taylor expansion of 0 in lambda2
3.556 * [approximate]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in (phi1 phi2 lambda1 lambda2) around 0
3.556 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in lambda2
3.556 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2
3.556 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2
3.556 * [taylor]: Taking taylor expansion of -1 in lambda2
3.556 * [taylor]: Taking taylor expansion of phi1 in lambda2
3.556 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in lambda2
3.556 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2
3.556 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2
3.556 * [taylor]: Taking taylor expansion of -1 in lambda2
3.556 * [taylor]: Taking taylor expansion of phi2 in lambda2
3.556 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in lambda2
3.556 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda2
3.556 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda2
3.556 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2
3.556 * [taylor]: Taking taylor expansion of -1 in lambda2
3.556 * [taylor]: Taking taylor expansion of lambda1 in lambda2
3.557 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda2
3.557 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2
3.557 * [taylor]: Taking taylor expansion of -1 in lambda2
3.557 * [taylor]: Taking taylor expansion of lambda2 in lambda2
3.557 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2
3.557 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2
3.557 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2
3.557 * [taylor]: Taking taylor expansion of -1 in lambda2
3.557 * [taylor]: Taking taylor expansion of lambda1 in lambda2
3.557 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2
3.557 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2
3.557 * [taylor]: Taking taylor expansion of -1 in lambda2
3.557 * [taylor]: Taking taylor expansion of lambda2 in lambda2
3.557 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in lambda1
3.557 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1
3.557 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1
3.557 * [taylor]: Taking taylor expansion of -1 in lambda1
3.557 * [taylor]: Taking taylor expansion of phi1 in lambda1
3.557 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in lambda1
3.557 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1
3.557 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1
3.557 * [taylor]: Taking taylor expansion of -1 in lambda1
3.557 * [taylor]: Taking taylor expansion of phi2 in lambda1
3.557 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in lambda1
3.557 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda1
3.557 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda1
3.557 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1
3.557 * [taylor]: Taking taylor expansion of -1 in lambda1
3.557 * [taylor]: Taking taylor expansion of lambda1 in lambda1
3.557 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda1
3.557 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1
3.557 * [taylor]: Taking taylor expansion of -1 in lambda1
3.557 * [taylor]: Taking taylor expansion of lambda2 in lambda1
3.557 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1
3.557 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1
3.557 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1
3.558 * [taylor]: Taking taylor expansion of -1 in lambda1
3.558 * [taylor]: Taking taylor expansion of lambda1 in lambda1
3.558 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1
3.558 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1
3.558 * [taylor]: Taking taylor expansion of -1 in lambda1
3.558 * [taylor]: Taking taylor expansion of lambda2 in lambda1
3.558 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in phi2
3.558 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2
3.558 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
3.558 * [taylor]: Taking taylor expansion of -1 in phi2
3.558 * [taylor]: Taking taylor expansion of phi1 in phi2
3.558 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in phi2
3.558 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2
3.558 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
3.558 * [taylor]: Taking taylor expansion of -1 in phi2
3.558 * [taylor]: Taking taylor expansion of phi2 in phi2
3.558 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in phi2
3.558 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi2
3.558 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi2
3.558 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2
3.558 * [taylor]: Taking taylor expansion of -1 in phi2
3.558 * [taylor]: Taking taylor expansion of lambda1 in phi2
3.558 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi2
3.558 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2
3.558 * [taylor]: Taking taylor expansion of -1 in phi2
3.558 * [taylor]: Taking taylor expansion of lambda2 in phi2
3.558 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in phi2
3.558 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi2
3.558 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2
3.558 * [taylor]: Taking taylor expansion of -1 in phi2
3.558 * [taylor]: Taking taylor expansion of lambda1 in phi2
3.558 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi2
3.558 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2
3.558 * [taylor]: Taking taylor expansion of -1 in phi2
3.558 * [taylor]: Taking taylor expansion of lambda2 in phi2
3.559 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in phi1
3.559 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1
3.559 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
3.559 * [taylor]: Taking taylor expansion of -1 in phi1
3.559 * [taylor]: Taking taylor expansion of phi1 in phi1
3.559 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in phi1
3.559 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1
3.559 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
3.559 * [taylor]: Taking taylor expansion of -1 in phi1
3.559 * [taylor]: Taking taylor expansion of phi2 in phi1
3.559 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in phi1
3.559 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi1
3.559 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi1
3.559 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1
3.559 * [taylor]: Taking taylor expansion of -1 in phi1
3.559 * [taylor]: Taking taylor expansion of lambda1 in phi1
3.559 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi1
3.559 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1
3.559 * [taylor]: Taking taylor expansion of -1 in phi1
3.559 * [taylor]: Taking taylor expansion of lambda2 in phi1
3.559 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in phi1
3.559 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi1
3.559 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1
3.559 * [taylor]: Taking taylor expansion of -1 in phi1
3.559 * [taylor]: Taking taylor expansion of lambda1 in phi1
3.559 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi1
3.559 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1
3.559 * [taylor]: Taking taylor expansion of -1 in phi1
3.559 * [taylor]: Taking taylor expansion of lambda2 in phi1
3.559 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in phi1
3.559 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1
3.559 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
3.559 * [taylor]: Taking taylor expansion of -1 in phi1
3.559 * [taylor]: Taking taylor expansion of phi1 in phi1
3.560 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in phi1
3.560 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1
3.560 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
3.560 * [taylor]: Taking taylor expansion of -1 in phi1
3.560 * [taylor]: Taking taylor expansion of phi2 in phi1
3.560 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in phi1
3.560 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi1
3.560 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi1
3.560 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1
3.560 * [taylor]: Taking taylor expansion of -1 in phi1
3.560 * [taylor]: Taking taylor expansion of lambda1 in phi1
3.560 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi1
3.560 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1
3.560 * [taylor]: Taking taylor expansion of -1 in phi1
3.560 * [taylor]: Taking taylor expansion of lambda2 in phi1
3.560 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in phi1
3.560 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi1
3.560 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1
3.560 * [taylor]: Taking taylor expansion of -1 in phi1
3.560 * [taylor]: Taking taylor expansion of lambda1 in phi1
3.560 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi1
3.560 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1
3.560 * [taylor]: Taking taylor expansion of -1 in phi1
3.560 * [taylor]: Taking taylor expansion of lambda2 in phi1
3.561 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in phi2
3.561 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2
3.561 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
3.561 * [taylor]: Taking taylor expansion of -1 in phi2
3.561 * [taylor]: Taking taylor expansion of phi1 in phi2
3.561 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in phi2
3.561 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2
3.561 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
3.561 * [taylor]: Taking taylor expansion of -1 in phi2
3.561 * [taylor]: Taking taylor expansion of phi2 in phi2
3.561 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in phi2
3.561 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi2
3.562 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi2
3.562 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2
3.562 * [taylor]: Taking taylor expansion of -1 in phi2
3.562 * [taylor]: Taking taylor expansion of lambda1 in phi2
3.562 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi2
3.562 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2
3.562 * [taylor]: Taking taylor expansion of -1 in phi2
3.562 * [taylor]: Taking taylor expansion of lambda2 in phi2
3.562 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in phi2
3.562 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi2
3.562 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2
3.562 * [taylor]: Taking taylor expansion of -1 in phi2
3.562 * [taylor]: Taking taylor expansion of lambda1 in phi2
3.562 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi2
3.562 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2
3.562 * [taylor]: Taking taylor expansion of -1 in phi2
3.562 * [taylor]: Taking taylor expansion of lambda2 in phi2
3.563 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in lambda1
3.563 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1
3.563 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1
3.563 * [taylor]: Taking taylor expansion of -1 in lambda1
3.563 * [taylor]: Taking taylor expansion of phi1 in lambda1
3.563 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in lambda1
3.563 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1
3.563 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1
3.563 * [taylor]: Taking taylor expansion of -1 in lambda1
3.563 * [taylor]: Taking taylor expansion of phi2 in lambda1
3.563 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in lambda1
3.563 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda1
3.563 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda1
3.563 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1
3.563 * [taylor]: Taking taylor expansion of -1 in lambda1
3.563 * [taylor]: Taking taylor expansion of lambda1 in lambda1
3.563 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda1
3.563 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1
3.563 * [taylor]: Taking taylor expansion of -1 in lambda1
3.563 * [taylor]: Taking taylor expansion of lambda2 in lambda1
3.563 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1
3.563 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1
3.563 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1
3.564 * [taylor]: Taking taylor expansion of -1 in lambda1
3.564 * [taylor]: Taking taylor expansion of lambda1 in lambda1
3.564 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1
3.564 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1
3.564 * [taylor]: Taking taylor expansion of -1 in lambda1
3.564 * [taylor]: Taking taylor expansion of lambda2 in lambda1
3.564 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in lambda2
3.565 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2
3.565 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2
3.565 * [taylor]: Taking taylor expansion of -1 in lambda2
3.565 * [taylor]: Taking taylor expansion of phi1 in lambda2
3.565 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in lambda2
3.565 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2
3.565 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2
3.565 * [taylor]: Taking taylor expansion of -1 in lambda2
3.565 * [taylor]: Taking taylor expansion of phi2 in lambda2
3.565 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in lambda2
3.565 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda2
3.565 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda2
3.565 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2
3.565 * [taylor]: Taking taylor expansion of -1 in lambda2
3.565 * [taylor]: Taking taylor expansion of lambda1 in lambda2
3.565 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda2
3.565 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2
3.565 * [taylor]: Taking taylor expansion of -1 in lambda2
3.565 * [taylor]: Taking taylor expansion of lambda2 in lambda2
3.565 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2
3.565 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2
3.565 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2
3.565 * [taylor]: Taking taylor expansion of -1 in lambda2
3.565 * [taylor]: Taking taylor expansion of lambda1 in lambda2
3.565 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2
3.565 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2
3.565 * [taylor]: Taking taylor expansion of -1 in lambda2
3.565 * [taylor]: Taking taylor expansion of lambda2 in lambda2
3.568 * [taylor]: Taking taylor expansion of 0 in phi2
3.568 * [taylor]: Taking taylor expansion of 0 in lambda1
3.568 * [taylor]: Taking taylor expansion of 0 in lambda2
3.569 * [taylor]: Taking taylor expansion of 0 in lambda1
3.569 * [taylor]: Taking taylor expansion of 0 in lambda2
3.571 * [taylor]: Taking taylor expansion of 0 in lambda2
3.574 * [taylor]: Taking taylor expansion of 0 in phi2
3.574 * [taylor]: Taking taylor expansion of 0 in lambda1
3.574 * [taylor]: Taking taylor expansion of 0 in lambda2
3.574 * [taylor]: Taking taylor expansion of 0 in lambda1
3.574 * [taylor]: Taking taylor expansion of 0 in lambda2
3.574 * * * [progress]: simplifying candidates
3.575 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (/ PI 2)
  (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))
  (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)
  (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log R))
  (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
  (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
  (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* R R) R))
  (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)))
  (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
  (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
  (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
  (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
  (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R))
  (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R))
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R)))
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R))
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 1)
  (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)
  (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)
  (- (cos (- phi1 phi2)) (cos (+ phi1 phi2)))
  (* (sin phi1) (sin phi2))
  (+ (log (sin phi1)) (log (sin phi2)))
  (log (* (sin phi1) (sin phi2)))
  (exp (* (sin phi1) (sin phi2)))
  (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))
  (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2))))
  (cbrt (* (sin phi1) (sin phi2)))
  (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))
  (sqrt (* (sin phi1) (sin phi2)))
  (sqrt (* (sin phi1) (sin phi2)))
  (* (sqrt (sin phi1)) (sqrt (sin phi2)))
  (* (sqrt (sin phi1)) (sqrt (sin phi2)))
  (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2))))
  (* (sin phi1) (sqrt (sin phi2)))
  (* (sin phi1) 1)
  (* (cbrt (sin phi1)) (sin phi2))
  (* (sqrt (sin phi1)) (sin phi2))
  (* (sin phi1) (sin phi2))
  (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))
  (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))
  (+ (+ (log (cos phi1)) (log (cos phi2))) (log (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))
  (+ (log (* (cos phi1) (cos phi2))) (log (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))
  (log (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))
  (exp (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))
  (* (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))) (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))
  (* (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))) (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))
  (* (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))
  (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))
  (* (* (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))
  (sqrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))
  (sqrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))
  (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (* (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) 2) (* 2 (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))))))
  (* 2 (* 2 2))
  (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3)))
  (* 2 (+ (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (- (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))
  (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))))
  (* 2 (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))
  (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2)))
  (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))
  (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2)))
  (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))
  (* (* (cos phi1) (cos phi2)) (* (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))
  (* (* (cos phi1) (cos phi2)) (sqrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))
  (* (* (cos phi1) (cos phi2)) 1)
  (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))
  (* (* (cos phi1) (cos phi2)) (+ (* (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) 2) (* 2 (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))))))
  (* (* (cos phi1) (cos phi2)) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3)))
  (* (* (cos phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))))
  (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))
  (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
  (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
  (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
  (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R)
  (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R)
  (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R)
  (* phi2 phi1)
  (* (sin phi1) (sin phi2))
  (* (sin phi1) (sin phi2))
  (- 1 (+ (* 1/2 (pow phi1 2)) (* 1/2 (pow phi2 2))))
  (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))
  (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))
3.582 * * [simplify]: iteration  0 :  486  enodes  (cost  1308 )
3.591 * * [simplify]: iteration  1 :  2165  enodes  (cost  1096 )
3.632 * * [simplify]: iteration  2 :  5001  enodes  (cost  1095 )
3.637 * [simplify]: Simplified to:
   (/ PI 2)
  (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))
  (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3)
  (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)
  (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
  (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
  (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
  (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 3)
  (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)))
  (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
  (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 3)
  (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
  (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
  (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R))
  (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R))
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R)))
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R))
  (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))
  (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)
  (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)
  (- (cos (- phi1 phi2)) (cos (+ phi1 phi2)))
  (* (sin phi1) (sin phi2))
  (log (* (sin phi1) (sin phi2)))
  (log (* (sin phi1) (sin phi2)))
  (exp (* (sin phi1) (sin phi2)))
  (pow (* (sin phi1) (sin phi2)) 3)
  (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2))))
  (cbrt (* (sin phi1) (sin phi2)))
  (pow (* (sin phi1) (sin phi2)) 3)
  (sqrt (* (sin phi1) (sin phi2)))
  (sqrt (* (sin phi1) (sin phi2)))
  (* (sqrt (sin phi1)) (sqrt (sin phi2)))
  (* (sqrt (sin phi1)) (sqrt (sin phi2)))
  (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2))))
  (* (sin phi1) (sqrt (sin phi2)))
  (sin phi1)
  (* (cbrt (sin phi1)) (sin phi2))
  (* (sqrt (sin phi1)) (sin phi2))
  (* (sin phi1) (sin phi2))
  (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))
  (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))
  (log (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))
  (log (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))
  (log (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))
  (exp (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))
  (pow (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 3)
  (pow (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 3)
  (* (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))
  (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))
  (pow (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 3)
  (sqrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))
  (sqrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))
  (* (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) 2) (+ (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))))
  8
  (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3)))
  (* (+ (* (* (sin lambda1) (sin lambda2)) (- (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2)))) 2)
  (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))))
  (* 2 (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))
  (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2)))
  (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))
  (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2)))
  (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))
  (* (* (cos phi1) (cos phi2)) (* (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))
  (* (* (cos phi1) (cos phi2)) (sqrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))
  (* (cos phi1) (cos phi2))
  (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))
  (* (* (cos phi1) (cos phi2)) (* 2 (+ (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))))))
  (* (* (cos phi1) (cos phi2)) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3)))
  (* (* (cos phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))))
  (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))
  (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))
  (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))
  (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)
  (* phi2 phi1)
  (* (sin phi1) (sin phi2))
  (* (sin phi1) (sin phi2))
  (+ (* -1/2 (+ (pow phi1 2) (pow phi2 2))) 1)
  (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))
  (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))
3.638 * * * [progress]: adding candidates to table
3.734 * * [progress]: iteration 3 / 4
3.734 * * * [progress]: picking best candidate
3.979 * * * * [pick]: Picked  #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))>
3.979 * * * [progress]: localizing error
4.017 * * * [progress]: generating rewritten candidates
4.017 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1)
4.025 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2)
4.026 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
4.036 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1)
4.042 * * * [progress]: generating series expansions
4.042 * * * * [progress]: [ 1 / 4 ] generating series at (2 1)
4.042 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0
4.042 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2
4.042 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
4.042 * [taylor]: Taking taylor expansion of 1/2 in lambda2
4.042 * [taylor]: Taking taylor expansion of PI in lambda2
4.042 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
4.043 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1
4.043 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
4.043 * [taylor]: Taking taylor expansion of 1/2 in lambda1
4.043 * [taylor]: Taking taylor expansion of PI in lambda1
4.043 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
4.043 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2
4.043 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
4.043 * [taylor]: Taking taylor expansion of 1/2 in phi2
4.043 * [taylor]: Taking taylor expansion of PI in phi2
4.043 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
4.043 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1
4.043 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
4.043 * [taylor]: Taking taylor expansion of 1/2 in phi1
4.043 * [taylor]: Taking taylor expansion of PI in phi1
4.043 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
4.044 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1
4.044 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
4.044 * [taylor]: Taking taylor expansion of 1/2 in phi1
4.044 * [taylor]: Taking taylor expansion of PI in phi1
4.044 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
4.045 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2
4.045 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
4.045 * [taylor]: Taking taylor expansion of 1/2 in phi2
4.045 * [taylor]: Taking taylor expansion of PI in phi2
4.045 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
4.046 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1
4.046 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
4.046 * [taylor]: Taking taylor expansion of 1/2 in lambda1
4.046 * [taylor]: Taking taylor expansion of PI in lambda1
4.046 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
4.046 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2
4.046 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
4.046 * [taylor]: Taking taylor expansion of 1/2 in lambda2
4.046 * [taylor]: Taking taylor expansion of PI in lambda2
4.046 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
4.048 * [taylor]: Taking taylor expansion of 0 in phi2
4.048 * [taylor]: Taking taylor expansion of 0 in lambda1
4.048 * [taylor]: Taking taylor expansion of 0 in lambda2
4.048 * [taylor]: Taking taylor expansion of 0 in lambda1
4.048 * [taylor]: Taking taylor expansion of 0 in lambda2
4.048 * [taylor]: Taking taylor expansion of 0 in lambda2
4.048 * [taylor]: Taking taylor expansion of 0 in phi2
4.048 * [taylor]: Taking taylor expansion of 0 in lambda1
4.048 * [taylor]: Taking taylor expansion of 0 in lambda2
4.048 * [taylor]: Taking taylor expansion of 0 in lambda1
4.048 * [taylor]: Taking taylor expansion of 0 in lambda2
4.049 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in (phi1 phi2 lambda1 lambda2) around 0
4.049 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2
4.049 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
4.049 * [taylor]: Taking taylor expansion of 1/2 in lambda2
4.049 * [taylor]: Taking taylor expansion of PI in lambda2
4.049 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
4.049 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1
4.049 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
4.049 * [taylor]: Taking taylor expansion of 1/2 in lambda1
4.049 * [taylor]: Taking taylor expansion of PI in lambda1
4.049 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
4.050 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2
4.050 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
4.050 * [taylor]: Taking taylor expansion of 1/2 in phi2
4.050 * [taylor]: Taking taylor expansion of PI in phi2
4.050 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
4.050 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1
4.050 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
4.050 * [taylor]: Taking taylor expansion of 1/2 in phi1
4.050 * [taylor]: Taking taylor expansion of PI in phi1
4.050 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
4.051 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1
4.051 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
4.051 * [taylor]: Taking taylor expansion of 1/2 in phi1
4.051 * [taylor]: Taking taylor expansion of PI in phi1
4.051 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
4.052 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2
4.052 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
4.052 * [taylor]: Taking taylor expansion of 1/2 in phi2
4.052 * [taylor]: Taking taylor expansion of PI in phi2
4.052 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
4.053 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1
4.053 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
4.053 * [taylor]: Taking taylor expansion of 1/2 in lambda1
4.053 * [taylor]: Taking taylor expansion of PI in lambda1
4.053 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
4.054 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2
4.054 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
4.054 * [taylor]: Taking taylor expansion of 1/2 in lambda2
4.054 * [taylor]: Taking taylor expansion of PI in lambda2
4.054 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
4.056 * [taylor]: Taking taylor expansion of 0 in phi2
4.056 * [taylor]: Taking taylor expansion of 0 in lambda1
4.056 * [taylor]: Taking taylor expansion of 0 in lambda2
4.056 * [taylor]: Taking taylor expansion of 0 in lambda1
4.056 * [taylor]: Taking taylor expansion of 0 in lambda2
4.056 * [taylor]: Taking taylor expansion of 0 in lambda2
4.056 * [taylor]: Taking taylor expansion of 0 in phi2
4.056 * [taylor]: Taking taylor expansion of 0 in lambda1
4.056 * [taylor]: Taking taylor expansion of 0 in lambda2
4.056 * [taylor]: Taking taylor expansion of 0 in lambda1
4.056 * [taylor]: Taking taylor expansion of 0 in lambda2
4.057 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0
4.057 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2
4.057 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
4.057 * [taylor]: Taking taylor expansion of 1/2 in lambda2
4.057 * [taylor]: Taking taylor expansion of PI in lambda2
4.057 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
4.057 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda1
4.057 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
4.057 * [taylor]: Taking taylor expansion of 1/2 in lambda1
4.057 * [taylor]: Taking taylor expansion of PI in lambda1
4.057 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
4.058 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2
4.058 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
4.058 * [taylor]: Taking taylor expansion of 1/2 in phi2
4.058 * [taylor]: Taking taylor expansion of PI in phi2
4.058 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
4.058 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi1
4.058 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
4.058 * [taylor]: Taking taylor expansion of 1/2 in phi1
4.058 * [taylor]: Taking taylor expansion of PI in phi1
4.058 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
4.059 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi1
4.059 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
4.059 * [taylor]: Taking taylor expansion of 1/2 in phi1
4.059 * [taylor]: Taking taylor expansion of PI in phi1
4.059 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
4.060 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2
4.060 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
4.060 * [taylor]: Taking taylor expansion of 1/2 in phi2
4.060 * [taylor]: Taking taylor expansion of PI in phi2
4.060 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
4.061 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda1
4.061 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
4.061 * [taylor]: Taking taylor expansion of 1/2 in lambda1
4.061 * [taylor]: Taking taylor expansion of PI in lambda1
4.061 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
4.062 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2
4.062 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
4.062 * [taylor]: Taking taylor expansion of 1/2 in lambda2
4.062 * [taylor]: Taking taylor expansion of PI in lambda2
4.062 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
4.064 * [taylor]: Taking taylor expansion of 0 in phi2
4.064 * [taylor]: Taking taylor expansion of 0 in lambda1
4.064 * [taylor]: Taking taylor expansion of 0 in lambda2
4.064 * [taylor]: Taking taylor expansion of 0 in lambda1
4.064 * [taylor]: Taking taylor expansion of 0 in lambda2
4.064 * [taylor]: Taking taylor expansion of 0 in lambda2
4.064 * [taylor]: Taking taylor expansion of 0 in phi2
4.064 * [taylor]: Taking taylor expansion of 0 in lambda1
4.064 * [taylor]: Taking taylor expansion of 0 in lambda2
4.064 * [taylor]: Taking taylor expansion of 0 in lambda1
4.064 * [taylor]: Taking taylor expansion of 0 in lambda2
4.065 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2)
4.065 * [approximate]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0
4.065 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
4.065 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
4.066 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
4.066 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
4.066 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
4.066 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
4.067 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
4.067 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
4.068 * [taylor]: Taking taylor expansion of 0 in phi2
4.068 * [taylor]: Taking taylor expansion of 0 in lambda1
4.068 * [taylor]: Taking taylor expansion of 0 in lambda2
4.068 * [taylor]: Taking taylor expansion of 0 in lambda1
4.068 * [taylor]: Taking taylor expansion of 0 in lambda2
4.068 * [taylor]: Taking taylor expansion of 0 in lambda2
4.068 * [taylor]: Taking taylor expansion of 0 in phi2
4.068 * [taylor]: Taking taylor expansion of 0 in lambda1
4.068 * [taylor]: Taking taylor expansion of 0 in lambda2
4.068 * [taylor]: Taking taylor expansion of 0 in lambda1
4.068 * [taylor]: Taking taylor expansion of 0 in lambda2
4.069 * [approximate]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0
4.069 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
4.069 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
4.069 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
4.070 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
4.070 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
4.071 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
4.071 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
4.071 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
4.072 * [taylor]: Taking taylor expansion of 0 in phi2
4.072 * [taylor]: Taking taylor expansion of 0 in lambda1
4.072 * [taylor]: Taking taylor expansion of 0 in lambda2
4.072 * [taylor]: Taking taylor expansion of 0 in lambda1
4.072 * [taylor]: Taking taylor expansion of 0 in lambda2
4.072 * [taylor]: Taking taylor expansion of 0 in lambda2
4.072 * [taylor]: Taking taylor expansion of 0 in phi2
4.072 * [taylor]: Taking taylor expansion of 0 in lambda1
4.072 * [taylor]: Taking taylor expansion of 0 in lambda2
4.072 * [taylor]: Taking taylor expansion of 0 in lambda1
4.072 * [taylor]: Taking taylor expansion of 0 in lambda2
4.077 * [approximate]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0
4.077 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
4.077 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
4.077 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
4.078 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
4.078 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
4.079 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
4.079 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
4.079 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
4.080 * [taylor]: Taking taylor expansion of 0 in phi2
4.080 * [taylor]: Taking taylor expansion of 0 in lambda1
4.080 * [taylor]: Taking taylor expansion of 0 in lambda2
4.080 * [taylor]: Taking taylor expansion of 0 in lambda1
4.080 * [taylor]: Taking taylor expansion of 0 in lambda2
4.080 * [taylor]: Taking taylor expansion of 0 in lambda2
4.080 * [taylor]: Taking taylor expansion of 0 in phi2
4.080 * [taylor]: Taking taylor expansion of 0 in lambda1
4.080 * [taylor]: Taking taylor expansion of 0 in lambda2
4.080 * [taylor]: Taking taylor expansion of 0 in lambda1
4.080 * [taylor]: Taking taylor expansion of 0 in lambda2
4.081 * * * * [progress]: [ 3 / 4 ] generating series at (2)
4.081 * [approximate]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0
4.081 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) R) in R
4.081 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in R
4.081 * [taylor]: Taking taylor expansion of (* 1/2 PI) in R
4.081 * [taylor]: Taking taylor expansion of 1/2 in R
4.081 * [taylor]: Taking taylor expansion of PI in R
4.081 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R
4.082 * [taylor]: Taking taylor expansion of R in R
4.082 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) R) in lambda2
4.082 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2
4.082 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
4.082 * [taylor]: Taking taylor expansion of 1/2 in lambda2
4.082 * [taylor]: Taking taylor expansion of PI in lambda2
4.082 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
4.082 * [taylor]: Taking taylor expansion of R in lambda2
4.082 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) R) in lambda1
4.082 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1
4.082 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
4.082 * [taylor]: Taking taylor expansion of 1/2 in lambda1
4.082 * [taylor]: Taking taylor expansion of PI in lambda1
4.082 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
4.082 * [taylor]: Taking taylor expansion of R in lambda1
4.082 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) R) in phi2
4.082 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2
4.082 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
4.082 * [taylor]: Taking taylor expansion of 1/2 in phi2
4.082 * [taylor]: Taking taylor expansion of PI in phi2
4.083 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
4.083 * [taylor]: Taking taylor expansion of R in phi2
4.083 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) R) in phi1
4.083 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1
4.083 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
4.083 * [taylor]: Taking taylor expansion of 1/2 in phi1
4.083 * [taylor]: Taking taylor expansion of PI in phi1
4.083 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
4.083 * [taylor]: Taking taylor expansion of R in phi1
4.083 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) R) in phi1
4.083 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1
4.083 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
4.083 * [taylor]: Taking taylor expansion of 1/2 in phi1
4.083 * [taylor]: Taking taylor expansion of PI in phi1
4.083 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
4.084 * [taylor]: Taking taylor expansion of R in phi1
4.084 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) R) in phi2
4.084 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2
4.084 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
4.084 * [taylor]: Taking taylor expansion of 1/2 in phi2
4.084 * [taylor]: Taking taylor expansion of PI in phi2
4.084 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
4.085 * [taylor]: Taking taylor expansion of R in phi2
4.086 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) R) in lambda1
4.086 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1
4.086 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
4.086 * [taylor]: Taking taylor expansion of 1/2 in lambda1
4.086 * [taylor]: Taking taylor expansion of PI in lambda1
4.086 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
4.086 * [taylor]: Taking taylor expansion of R in lambda1
4.087 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) R) in lambda2
4.087 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2
4.087 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
4.087 * [taylor]: Taking taylor expansion of 1/2 in lambda2
4.087 * [taylor]: Taking taylor expansion of PI in lambda2
4.087 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
4.087 * [taylor]: Taking taylor expansion of R in lambda2
4.088 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) R) in R
4.088 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in R
4.088 * [taylor]: Taking taylor expansion of (* 1/2 PI) in R
4.088 * [taylor]: Taking taylor expansion of 1/2 in R
4.088 * [taylor]: Taking taylor expansion of PI in R
4.088 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R
4.088 * [taylor]: Taking taylor expansion of R in R
4.089 * [taylor]: Taking taylor expansion of 0 in phi2
4.089 * [taylor]: Taking taylor expansion of 0 in lambda1
4.089 * [taylor]: Taking taylor expansion of 0 in lambda2
4.089 * [taylor]: Taking taylor expansion of 0 in R
4.090 * [taylor]: Taking taylor expansion of 0 in lambda1
4.090 * [taylor]: Taking taylor expansion of 0 in lambda2
4.090 * [taylor]: Taking taylor expansion of 0 in R
4.090 * [taylor]: Taking taylor expansion of 0 in lambda2
4.090 * [taylor]: Taking taylor expansion of 0 in R
4.091 * [taylor]: Taking taylor expansion of 0 in R
4.092 * [taylor]: Taking taylor expansion of 0 in phi2
4.092 * [taylor]: Taking taylor expansion of 0 in lambda1
4.092 * [taylor]: Taking taylor expansion of 0 in lambda2
4.092 * [taylor]: Taking taylor expansion of 0 in R
4.092 * [taylor]: Taking taylor expansion of 0 in lambda1
4.092 * [taylor]: Taking taylor expansion of 0 in lambda2
4.092 * [taylor]: Taking taylor expansion of 0 in R
4.092 * [taylor]: Taking taylor expansion of 0 in lambda1
4.092 * [taylor]: Taking taylor expansion of 0 in lambda2
4.092 * [taylor]: Taking taylor expansion of 0 in R
4.092 * [taylor]: Taking taylor expansion of 0 in lambda2
4.092 * [taylor]: Taking taylor expansion of 0 in R
4.092 * [taylor]: Taking taylor expansion of 0 in lambda2
4.092 * [taylor]: Taking taylor expansion of 0 in R
4.093 * [taylor]: Taking taylor expansion of 0 in lambda2
4.093 * [taylor]: Taking taylor expansion of 0 in R
4.093 * [approximate]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0
4.093 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) R) in R
4.094 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in R
4.094 * [taylor]: Taking taylor expansion of (* 1/2 PI) in R
4.094 * [taylor]: Taking taylor expansion of 1/2 in R
4.094 * [taylor]: Taking taylor expansion of PI in R
4.094 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R
4.094 * [taylor]: Taking taylor expansion of R in R
4.095 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) R) in lambda2
4.095 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2
4.095 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
4.095 * [taylor]: Taking taylor expansion of 1/2 in lambda2
4.095 * [taylor]: Taking taylor expansion of PI in lambda2
4.095 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
4.095 * [taylor]: Taking taylor expansion of R in lambda2
4.097 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) R) in lambda1
4.097 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1
4.097 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
4.097 * [taylor]: Taking taylor expansion of 1/2 in lambda1
4.097 * [taylor]: Taking taylor expansion of PI in lambda1
4.097 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
4.097 * [taylor]: Taking taylor expansion of R in lambda1
4.098 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) R) in phi2
4.098 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2
4.098 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
4.098 * [taylor]: Taking taylor expansion of 1/2 in phi2
4.098 * [taylor]: Taking taylor expansion of PI in phi2
4.098 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
4.099 * [taylor]: Taking taylor expansion of R in phi2
4.100 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) R) in phi1
4.100 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1
4.100 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
4.100 * [taylor]: Taking taylor expansion of 1/2 in phi1
4.100 * [taylor]: Taking taylor expansion of PI in phi1
4.100 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
4.100 * [taylor]: Taking taylor expansion of R in phi1
4.101 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) R) in phi1
4.101 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1
4.101 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
4.101 * [taylor]: Taking taylor expansion of 1/2 in phi1
4.101 * [taylor]: Taking taylor expansion of PI in phi1
4.101 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
4.102 * [taylor]: Taking taylor expansion of R in phi1
4.103 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) R) in phi2
4.103 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2
4.103 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
4.103 * [taylor]: Taking taylor expansion of 1/2 in phi2
4.103 * [taylor]: Taking taylor expansion of PI in phi2
4.103 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
4.103 * [taylor]: Taking taylor expansion of R in phi2
4.104 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) R) in lambda1
4.104 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1
4.104 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
4.104 * [taylor]: Taking taylor expansion of 1/2 in lambda1
4.104 * [taylor]: Taking taylor expansion of PI in lambda1
4.104 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
4.105 * [taylor]: Taking taylor expansion of R in lambda1
4.106 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) R) in lambda2
4.106 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2
4.106 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
4.106 * [taylor]: Taking taylor expansion of 1/2 in lambda2
4.106 * [taylor]: Taking taylor expansion of PI in lambda2
4.106 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
4.106 * [taylor]: Taking taylor expansion of R in lambda2
4.107 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) R) in R
4.107 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in R
4.107 * [taylor]: Taking taylor expansion of (* 1/2 PI) in R
4.108 * [taylor]: Taking taylor expansion of 1/2 in R
4.108 * [taylor]: Taking taylor expansion of PI in R
4.108 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R
4.108 * [taylor]: Taking taylor expansion of R in R
4.110 * [taylor]: Taking taylor expansion of 0 in phi2
4.110 * [taylor]: Taking taylor expansion of 0 in lambda1
4.110 * [taylor]: Taking taylor expansion of 0 in lambda2
4.110 * [taylor]: Taking taylor expansion of 0 in R
4.110 * [taylor]: Taking taylor expansion of 0 in lambda1
4.111 * [taylor]: Taking taylor expansion of 0 in lambda2
4.111 * [taylor]: Taking taylor expansion of 0 in R
4.111 * [taylor]: Taking taylor expansion of 0 in lambda2
4.111 * [taylor]: Taking taylor expansion of 0 in R
4.111 * [taylor]: Taking taylor expansion of 0 in R
4.112 * [taylor]: Taking taylor expansion of 0 in phi2
4.112 * [taylor]: Taking taylor expansion of 0 in lambda1
4.112 * [taylor]: Taking taylor expansion of 0 in lambda2
4.112 * [taylor]: Taking taylor expansion of 0 in R
4.113 * [taylor]: Taking taylor expansion of 0 in lambda1
4.113 * [taylor]: Taking taylor expansion of 0 in lambda2
4.113 * [taylor]: Taking taylor expansion of 0 in R
4.113 * [taylor]: Taking taylor expansion of 0 in lambda1
4.113 * [taylor]: Taking taylor expansion of 0 in lambda2
4.113 * [taylor]: Taking taylor expansion of 0 in R
4.113 * [taylor]: Taking taylor expansion of 0 in lambda2
4.113 * [taylor]: Taking taylor expansion of 0 in R
4.113 * [taylor]: Taking taylor expansion of 0 in lambda2
4.113 * [taylor]: Taking taylor expansion of 0 in R
4.114 * [taylor]: Taking taylor expansion of 0 in lambda2
4.114 * [taylor]: Taking taylor expansion of 0 in R
4.114 * [taylor]: Taking taylor expansion of 0 in R
4.114 * [taylor]: Taking taylor expansion of 0 in R
4.114 * [taylor]: Taking taylor expansion of 0 in R
4.114 * [taylor]: Taking taylor expansion of 0 in R
4.116 * [approximate]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0
4.116 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R)) in R
4.116 * [taylor]: Taking taylor expansion of -1 in R
4.116 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R) in R
4.116 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in R
4.116 * [taylor]: Taking taylor expansion of (* 1/2 PI) in R
4.116 * [taylor]: Taking taylor expansion of 1/2 in R
4.116 * [taylor]: Taking taylor expansion of PI in R
4.116 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R
4.116 * [taylor]: Taking taylor expansion of R in R
4.117 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R)) in lambda2
4.117 * [taylor]: Taking taylor expansion of -1 in lambda2
4.117 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R) in lambda2
4.117 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2
4.118 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
4.118 * [taylor]: Taking taylor expansion of 1/2 in lambda2
4.118 * [taylor]: Taking taylor expansion of PI in lambda2
4.118 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
4.118 * [taylor]: Taking taylor expansion of R in lambda2
4.119 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R)) in lambda1
4.119 * [taylor]: Taking taylor expansion of -1 in lambda1
4.119 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R) in lambda1
4.119 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda1
4.119 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
4.119 * [taylor]: Taking taylor expansion of 1/2 in lambda1
4.119 * [taylor]: Taking taylor expansion of PI in lambda1
4.119 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
4.120 * [taylor]: Taking taylor expansion of R in lambda1
4.121 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R)) in phi2
4.121 * [taylor]: Taking taylor expansion of -1 in phi2
4.121 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R) in phi2
4.121 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2
4.121 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
4.121 * [taylor]: Taking taylor expansion of 1/2 in phi2
4.121 * [taylor]: Taking taylor expansion of PI in phi2
4.121 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
4.121 * [taylor]: Taking taylor expansion of R in phi2
4.123 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R)) in phi1
4.123 * [taylor]: Taking taylor expansion of -1 in phi1
4.123 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R) in phi1
4.123 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi1
4.123 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
4.123 * [taylor]: Taking taylor expansion of 1/2 in phi1
4.123 * [taylor]: Taking taylor expansion of PI in phi1
4.123 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
4.123 * [taylor]: Taking taylor expansion of R in phi1
4.124 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R)) in phi1
4.124 * [taylor]: Taking taylor expansion of -1 in phi1
4.124 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R) in phi1
4.124 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi1
4.124 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
4.124 * [taylor]: Taking taylor expansion of 1/2 in phi1
4.124 * [taylor]: Taking taylor expansion of PI in phi1
4.124 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
4.125 * [taylor]: Taking taylor expansion of R in phi1
4.126 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R)) in phi2
4.126 * [taylor]: Taking taylor expansion of -1 in phi2
4.126 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R) in phi2
4.126 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2
4.126 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
4.126 * [taylor]: Taking taylor expansion of 1/2 in phi2
4.126 * [taylor]: Taking taylor expansion of PI in phi2
4.126 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
4.127 * [taylor]: Taking taylor expansion of R in phi2
4.128 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R)) in lambda1
4.128 * [taylor]: Taking taylor expansion of -1 in lambda1
4.128 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R) in lambda1
4.128 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda1
4.128 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
4.128 * [taylor]: Taking taylor expansion of 1/2 in lambda1
4.128 * [taylor]: Taking taylor expansion of PI in lambda1
4.128 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
4.129 * [taylor]: Taking taylor expansion of R in lambda1
4.130 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R)) in lambda2
4.130 * [taylor]: Taking taylor expansion of -1 in lambda2
4.130 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R) in lambda2
4.130 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2
4.130 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
4.130 * [taylor]: Taking taylor expansion of 1/2 in lambda2
4.130 * [taylor]: Taking taylor expansion of PI in lambda2
4.130 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
4.131 * [taylor]: Taking taylor expansion of R in lambda2
4.132 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R)) in R
4.132 * [taylor]: Taking taylor expansion of -1 in R
4.132 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R) in R
4.132 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in R
4.132 * [taylor]: Taking taylor expansion of (* 1/2 PI) in R
4.132 * [taylor]: Taking taylor expansion of 1/2 in R
4.132 * [taylor]: Taking taylor expansion of PI in R
4.132 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R
4.133 * [taylor]: Taking taylor expansion of R in R
4.135 * [taylor]: Taking taylor expansion of 0 in phi2
4.135 * [taylor]: Taking taylor expansion of 0 in lambda1
4.135 * [taylor]: Taking taylor expansion of 0 in lambda2
4.135 * [taylor]: Taking taylor expansion of 0 in R
4.136 * [taylor]: Taking taylor expansion of 0 in lambda1
4.136 * [taylor]: Taking taylor expansion of 0 in lambda2
4.136 * [taylor]: Taking taylor expansion of 0 in R
4.137 * [taylor]: Taking taylor expansion of 0 in lambda2
4.137 * [taylor]: Taking taylor expansion of 0 in R
4.138 * [taylor]: Taking taylor expansion of 0 in R
4.140 * [taylor]: Taking taylor expansion of 0 in phi2
4.140 * [taylor]: Taking taylor expansion of 0 in lambda1
4.140 * [taylor]: Taking taylor expansion of 0 in lambda2
4.140 * [taylor]: Taking taylor expansion of 0 in R
4.140 * [taylor]: Taking taylor expansion of 0 in lambda1
4.140 * [taylor]: Taking taylor expansion of 0 in lambda2
4.140 * [taylor]: Taking taylor expansion of 0 in R
4.141 * [taylor]: Taking taylor expansion of 0 in lambda1
4.141 * [taylor]: Taking taylor expansion of 0 in lambda2
4.141 * [taylor]: Taking taylor expansion of 0 in R
4.141 * [taylor]: Taking taylor expansion of 0 in lambda2
4.141 * [taylor]: Taking taylor expansion of 0 in R
4.141 * [taylor]: Taking taylor expansion of 0 in lambda2
4.141 * [taylor]: Taking taylor expansion of 0 in R
4.142 * [taylor]: Taking taylor expansion of 0 in lambda2
4.142 * [taylor]: Taking taylor expansion of 0 in R
4.142 * [taylor]: Taking taylor expansion of 0 in R
4.142 * [taylor]: Taking taylor expansion of 0 in R
4.142 * [taylor]: Taking taylor expansion of 0 in R
4.143 * [taylor]: Taking taylor expansion of 0 in R
4.144 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1)
4.144 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0
4.144 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2
4.144 * [taylor]: Taking taylor expansion of (sin phi1) in phi2
4.144 * [taylor]: Taking taylor expansion of phi1 in phi2
4.144 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
4.144 * [taylor]: Taking taylor expansion of phi2 in phi2
4.145 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1
4.145 * [taylor]: Taking taylor expansion of (sin phi1) in phi1
4.145 * [taylor]: Taking taylor expansion of phi1 in phi1
4.145 * [taylor]: Taking taylor expansion of (sin phi2) in phi1
4.145 * [taylor]: Taking taylor expansion of phi2 in phi1
4.145 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1
4.145 * [taylor]: Taking taylor expansion of (sin phi1) in phi1
4.145 * [taylor]: Taking taylor expansion of phi1 in phi1
4.145 * [taylor]: Taking taylor expansion of (sin phi2) in phi1
4.145 * [taylor]: Taking taylor expansion of phi2 in phi1
4.145 * [taylor]: Taking taylor expansion of 0 in phi2
4.145 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
4.145 * [taylor]: Taking taylor expansion of phi2 in phi2
4.146 * [taylor]: Taking taylor expansion of 0 in phi2
4.146 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin phi2))) in phi2
4.146 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2
4.146 * [taylor]: Taking taylor expansion of 1/6 in phi2
4.146 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
4.146 * [taylor]: Taking taylor expansion of phi2 in phi2
4.147 * [taylor]: Taking taylor expansion of 0 in phi2
4.147 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0
4.147 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2
4.147 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2
4.147 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
4.147 * [taylor]: Taking taylor expansion of phi1 in phi2
4.147 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2
4.147 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
4.147 * [taylor]: Taking taylor expansion of phi2 in phi2
4.147 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1
4.147 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1
4.147 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
4.147 * [taylor]: Taking taylor expansion of phi1 in phi1
4.147 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1
4.148 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
4.148 * [taylor]: Taking taylor expansion of phi2 in phi1
4.148 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1
4.148 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1
4.148 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
4.148 * [taylor]: Taking taylor expansion of phi1 in phi1
4.148 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1
4.148 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
4.148 * [taylor]: Taking taylor expansion of phi2 in phi1
4.148 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2
4.148 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2
4.148 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
4.148 * [taylor]: Taking taylor expansion of phi1 in phi2
4.148 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2
4.148 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
4.148 * [taylor]: Taking taylor expansion of phi2 in phi2
4.149 * [taylor]: Taking taylor expansion of 0 in phi2
4.151 * [taylor]: Taking taylor expansion of 0 in phi2
4.151 * [taylor]: Taking taylor expansion of 0 in phi2
4.152 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0
4.152 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2
4.152 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2
4.152 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
4.152 * [taylor]: Taking taylor expansion of -1 in phi2
4.152 * [taylor]: Taking taylor expansion of phi1 in phi2
4.152 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2
4.152 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
4.152 * [taylor]: Taking taylor expansion of -1 in phi2
4.152 * [taylor]: Taking taylor expansion of phi2 in phi2
4.152 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1
4.152 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1
4.152 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
4.152 * [taylor]: Taking taylor expansion of -1 in phi1
4.152 * [taylor]: Taking taylor expansion of phi1 in phi1
4.152 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1
4.152 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
4.152 * [taylor]: Taking taylor expansion of -1 in phi1
4.152 * [taylor]: Taking taylor expansion of phi2 in phi1
4.152 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1
4.152 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1
4.152 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
4.152 * [taylor]: Taking taylor expansion of -1 in phi1
4.152 * [taylor]: Taking taylor expansion of phi1 in phi1
4.152 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1
4.152 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
4.152 * [taylor]: Taking taylor expansion of -1 in phi1
4.152 * [taylor]: Taking taylor expansion of phi2 in phi1
4.153 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2
4.153 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2
4.153 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
4.153 * [taylor]: Taking taylor expansion of -1 in phi2
4.153 * [taylor]: Taking taylor expansion of phi1 in phi2
4.153 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2
4.153 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
4.153 * [taylor]: Taking taylor expansion of -1 in phi2
4.153 * [taylor]: Taking taylor expansion of phi2 in phi2
4.153 * [taylor]: Taking taylor expansion of 0 in phi2
4.154 * [taylor]: Taking taylor expansion of 0 in phi2
4.155 * [taylor]: Taking taylor expansion of 0 in phi2
4.155 * * * [progress]: simplifying candidates
4.156 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (/ (exp (/ PI 2)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (log (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))
  (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (* (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (- (pow (/ PI 2) 3) (pow (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3))
  (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))
  (neg (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (+ (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (+ (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (- (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (- (/ PI 2) (/ PI 2))
  (neg (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (/ PI 2)
  (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))
  (log (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (* (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (* (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)
  (+ (log (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log R))
  (log (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))
  (exp (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))
  (* (* (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (* R R) R))
  (* (cbrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)) (cbrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))
  (cbrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))
  (* (* (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))
  (sqrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))
  (sqrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))
  (* (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt R))
  (* (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt R))
  (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt R) (cbrt R)))
  (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R))
  (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 1)
  (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)
  (* (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)
  (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)
  (* (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)
  (* (- (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)
  (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)
  (* (- (pow (/ PI 2) 3) (pow (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3)) R)
  (* (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)
  (- (cos (- phi1 phi2)) (cos (+ phi1 phi2)))
  (* (sin phi1) (sin phi2))
  (+ (log (sin phi1)) (log (sin phi2)))
  (log (* (sin phi1) (sin phi2)))
  (exp (* (sin phi1) (sin phi2)))
  (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))
  (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2))))
  (cbrt (* (sin phi1) (sin phi2)))
  (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))
  (sqrt (* (sin phi1) (sin phi2)))
  (sqrt (* (sin phi1) (sin phi2)))
  (* (sqrt (sin phi1)) (sqrt (sin phi2)))
  (* (sqrt (sin phi1)) (sqrt (sin phi2)))
  (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2))))
  (* (sin phi1) (sqrt (sin phi2)))
  (* (sin phi1) 1)
  (* (cbrt (sin phi1)) (sin phi2))
  (* (sqrt (sin phi1)) (sin phi2))
  (* (sin phi1) (sin phi2))
  (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))))
  (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))))
  (- (* 1/2 PI) (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
  (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
  (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
  (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
  (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) R)
  (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) R)
  (* (- (* 1/2 PI) (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) R)
  (* phi2 phi1)
  (* (sin phi1) (sin phi2))
  (* (sin phi1) (sin phi2))
4.162 * * [simplify]: iteration  0 :  282  enodes  (cost  1489 )
4.167 * * [simplify]: iteration  1 :  845  enodes  (cost  1348 )
4.182 * * [simplify]: iteration  2 :  3043  enodes  (cost  1342 )
4.222 * * [simplify]: iteration  3 :  5001  enodes  (cost  1342 )
4.228 * [simplify]: Simplified to:
   (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (log (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))
  (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (pow (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 3)
  (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (- (pow (/ PI 2) 3) (pow (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3))
  (+ (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (+ (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (/ PI 2))) (* (/ PI 2) (/ PI 2)))
  (neg (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (+ (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (+ (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (- (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  0
  (neg (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (/ PI 2)
  (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))
  (log (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (* (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (pow (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3)
  (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)
  (log (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))
  (log (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))
  (exp (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))
  (pow (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) 3)
  (* (cbrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)) (cbrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))
  (cbrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))
  (pow (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) 3)
  (sqrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))
  (sqrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))
  (* (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt R))
  (* (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt R))
  (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt R) (cbrt R)))
  (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R))
  (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)
  (* (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)
  (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)
  (* (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)
  (* (- (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)
  (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)
  (* (- (pow (/ PI 2) 3) (pow (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3)) R)
  (* (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)
  (- (cos (- phi1 phi2)) (cos (+ phi1 phi2)))
  (* (sin phi1) (sin phi2))
  (log (* (sin phi1) (sin phi2)))
  (log (* (sin phi1) (sin phi2)))
  (exp (* (sin phi1) (sin phi2)))
  (pow (* (sin phi1) (sin phi2)) 3)
  (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2))))
  (cbrt (* (sin phi1) (sin phi2)))
  (pow (* (sin phi1) (sin phi2)) 3)
  (sqrt (* (sin phi1) (sin phi2)))
  (sqrt (* (sin phi1) (sin phi2)))
  (* (sqrt (sin phi1)) (sqrt (sin phi2)))
  (* (sqrt (sin phi1)) (sqrt (sin phi2)))
  (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2))))
  (* (sin phi1) (sqrt (sin phi2)))
  (sin phi1)
  (* (cbrt (sin phi1)) (sin phi2))
  (* (sqrt (sin phi1)) (sin phi2))
  (* (sin phi1) (sin phi2))
  (- (* 1/2 PI) (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
  (- (* 1/2 PI) (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
  (- (* 1/2 PI) (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
  (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))
  (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))
  (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))
  (+ (* R (neg (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* R (* 1/2 PI)))
  (+ (* R (neg (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* R (* 1/2 PI)))
  (+ (* R (neg (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* R (* 1/2 PI)))
  (* phi2 phi1)
  (* (sin phi1) (sin phi2))
  (* (sin phi1) (sin phi2))
4.228 * * * [progress]: adding candidates to table
4.331 * * [progress]: iteration 4 / 4
4.331 * * * [progress]: picking best candidate
4.423 * * * * [pick]: Picked  #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))>
4.423 * * * [progress]: localizing error
4.461 * * * [progress]: generating rewritten candidates
4.461 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1)
4.470 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1)
4.478 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2)
4.479 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1)
4.489 * * * [progress]: generating series expansions
4.489 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1)
4.489 * [approximate]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))))) in (phi1 phi2 lambda1 lambda2) around 0
4.489 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))))) in lambda2
4.489 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2
4.489 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
4.489 * [taylor]: Taking taylor expansion of 1/2 in lambda2
4.489 * [taylor]: Taking taylor expansion of PI in lambda2
4.489 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
4.491 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))))) in lambda1
4.491 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1
4.491 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
4.491 * [taylor]: Taking taylor expansion of 1/2 in lambda1
4.491 * [taylor]: Taking taylor expansion of PI in lambda1
4.491 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
4.492 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))))) in phi2
4.492 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2
4.492 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
4.492 * [taylor]: Taking taylor expansion of 1/2 in phi2
4.492 * [taylor]: Taking taylor expansion of PI in phi2
4.492 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
4.493 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))))) in phi1
4.493 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1
4.493 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
4.493 * [taylor]: Taking taylor expansion of 1/2 in phi1
4.493 * [taylor]: Taking taylor expansion of PI in phi1
4.493 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
4.494 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))))) in phi1
4.494 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1
4.494 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
4.494 * [taylor]: Taking taylor expansion of 1/2 in phi1
4.494 * [taylor]: Taking taylor expansion of PI in phi1
4.494 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
4.495 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))))) in phi2
4.496 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2
4.496 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
4.496 * [taylor]: Taking taylor expansion of 1/2 in phi2
4.496 * [taylor]: Taking taylor expansion of PI in phi2
4.496 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
4.497 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))))) in lambda1
4.497 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1
4.497 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
4.497 * [taylor]: Taking taylor expansion of 1/2 in lambda1
4.497 * [taylor]: Taking taylor expansion of PI in lambda1
4.497 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
4.498 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))))) in lambda2
4.498 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2
4.498 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
4.498 * [taylor]: Taking taylor expansion of 1/2 in lambda2
4.498 * [taylor]: Taking taylor expansion of PI in lambda2
4.498 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
4.500 * [taylor]: Taking taylor expansion of 0 in phi2
4.500 * [taylor]: Taking taylor expansion of 0 in lambda1
4.500 * [taylor]: Taking taylor expansion of 0 in lambda2
4.500 * [taylor]: Taking taylor expansion of 0 in lambda1
4.500 * [taylor]: Taking taylor expansion of 0 in lambda2
4.501 * [taylor]: Taking taylor expansion of 0 in lambda2
4.501 * [taylor]: Taking taylor expansion of 0 in phi2
4.501 * [taylor]: Taking taylor expansion of 0 in lambda1
4.502 * [taylor]: Taking taylor expansion of 0 in lambda2
4.502 * [taylor]: Taking taylor expansion of 0 in lambda1
4.502 * [taylor]: Taking taylor expansion of 0 in lambda2
4.502 * [approximate]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))))) in (phi1 phi2 lambda1 lambda2) around 0
4.502 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))))) in lambda2
4.502 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2
4.502 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
4.502 * [taylor]: Taking taylor expansion of 1/2 in lambda2
4.502 * [taylor]: Taking taylor expansion of PI in lambda2
4.502 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
4.504 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))))) in lambda1
4.504 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1
4.504 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
4.504 * [taylor]: Taking taylor expansion of 1/2 in lambda1
4.504 * [taylor]: Taking taylor expansion of PI in lambda1
4.504 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
4.505 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))))) in phi2
4.505 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2
4.505 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
4.505 * [taylor]: Taking taylor expansion of 1/2 in phi2
4.505 * [taylor]: Taking taylor expansion of PI in phi2
4.505 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
4.507 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))))) in phi1
4.507 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1
4.507 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
4.507 * [taylor]: Taking taylor expansion of 1/2 in phi1
4.507 * [taylor]: Taking taylor expansion of PI in phi1
4.507 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
4.508 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))))) in phi1
4.508 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1
4.508 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
4.508 * [taylor]: Taking taylor expansion of 1/2 in phi1
4.508 * [taylor]: Taking taylor expansion of PI in phi1
4.508 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
4.510 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))))) in phi2
4.510 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2
4.510 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
4.510 * [taylor]: Taking taylor expansion of 1/2 in phi2
4.510 * [taylor]: Taking taylor expansion of PI in phi2
4.510 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
4.511 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))))) in lambda1
4.512 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1
4.512 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
4.512 * [taylor]: Taking taylor expansion of 1/2 in lambda1
4.512 * [taylor]: Taking taylor expansion of PI in lambda1
4.512 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
4.513 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))))) in lambda2
4.513 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2
4.513 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
4.513 * [taylor]: Taking taylor expansion of 1/2 in lambda2
4.513 * [taylor]: Taking taylor expansion of PI in lambda2
4.513 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
4.516 * [taylor]: Taking taylor expansion of 0 in phi2
4.516 * [taylor]: Taking taylor expansion of 0 in lambda1
4.516 * [taylor]: Taking taylor expansion of 0 in lambda2
4.516 * [taylor]: Taking taylor expansion of 0 in lambda1
4.516 * [taylor]: Taking taylor expansion of 0 in lambda2
4.517 * [taylor]: Taking taylor expansion of 0 in lambda2
4.518 * [taylor]: Taking taylor expansion of 0 in phi2
4.518 * [taylor]: Taking taylor expansion of 0 in lambda1
4.518 * [taylor]: Taking taylor expansion of 0 in lambda2
4.518 * [taylor]: Taking taylor expansion of 0 in lambda1
4.518 * [taylor]: Taking taylor expansion of 0 in lambda2
4.519 * [approximate]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))))) in (phi1 phi2 lambda1 lambda2) around 0
4.519 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))))) in lambda2
4.519 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2
4.519 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
4.519 * [taylor]: Taking taylor expansion of 1/2 in lambda2
4.519 * [taylor]: Taking taylor expansion of PI in lambda2
4.519 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
4.520 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))))) in lambda1
4.520 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda1
4.520 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
4.520 * [taylor]: Taking taylor expansion of 1/2 in lambda1
4.520 * [taylor]: Taking taylor expansion of PI in lambda1
4.520 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
4.522 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))))) in phi2
4.522 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2
4.522 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
4.522 * [taylor]: Taking taylor expansion of 1/2 in phi2
4.522 * [taylor]: Taking taylor expansion of PI in phi2
4.522 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
4.523 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))))) in phi1
4.523 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi1
4.523 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
4.523 * [taylor]: Taking taylor expansion of 1/2 in phi1
4.523 * [taylor]: Taking taylor expansion of PI in phi1
4.523 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
4.525 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))))) in phi1
4.525 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi1
4.525 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
4.525 * [taylor]: Taking taylor expansion of 1/2 in phi1
4.525 * [taylor]: Taking taylor expansion of PI in phi1
4.525 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
4.526 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))))) in phi2
4.526 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2
4.526 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
4.526 * [taylor]: Taking taylor expansion of 1/2 in phi2
4.526 * [taylor]: Taking taylor expansion of PI in phi2
4.527 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
4.528 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))))) in lambda1
4.528 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda1
4.528 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
4.528 * [taylor]: Taking taylor expansion of 1/2 in lambda1
4.528 * [taylor]: Taking taylor expansion of PI in lambda1
4.528 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
4.529 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))))) in lambda2
4.529 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2
4.530 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
4.530 * [taylor]: Taking taylor expansion of 1/2 in lambda2
4.530 * [taylor]: Taking taylor expansion of PI in lambda2
4.530 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
4.532 * [taylor]: Taking taylor expansion of 0 in phi2
4.532 * [taylor]: Taking taylor expansion of 0 in lambda1
4.532 * [taylor]: Taking taylor expansion of 0 in lambda2
4.533 * [taylor]: Taking taylor expansion of 0 in lambda1
4.533 * [taylor]: Taking taylor expansion of 0 in lambda2
4.533 * [taylor]: Taking taylor expansion of 0 in lambda2
4.534 * [taylor]: Taking taylor expansion of 0 in phi2
4.534 * [taylor]: Taking taylor expansion of 0 in lambda1
4.534 * [taylor]: Taking taylor expansion of 0 in lambda2
4.534 * [taylor]: Taking taylor expansion of 0 in lambda1
4.534 * [taylor]: Taking taylor expansion of 0 in lambda2
4.535 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1)
4.535 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0
4.535 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2
4.535 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
4.535 * [taylor]: Taking taylor expansion of 1/2 in lambda2
4.535 * [taylor]: Taking taylor expansion of PI in lambda2
4.535 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
4.535 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1
4.535 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
4.536 * [taylor]: Taking taylor expansion of 1/2 in lambda1
4.536 * [taylor]: Taking taylor expansion of PI in lambda1
4.536 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
4.536 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2
4.536 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
4.536 * [taylor]: Taking taylor expansion of 1/2 in phi2
4.536 * [taylor]: Taking taylor expansion of PI in phi2
4.536 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
4.536 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1
4.536 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
4.536 * [taylor]: Taking taylor expansion of 1/2 in phi1
4.536 * [taylor]: Taking taylor expansion of PI in phi1
4.536 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
4.537 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1
4.537 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
4.537 * [taylor]: Taking taylor expansion of 1/2 in phi1
4.537 * [taylor]: Taking taylor expansion of PI in phi1
4.537 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
4.537 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2
4.537 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
4.537 * [taylor]: Taking taylor expansion of 1/2 in phi2
4.537 * [taylor]: Taking taylor expansion of PI in phi2
4.538 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
4.538 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1
4.538 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
4.538 * [taylor]: Taking taylor expansion of 1/2 in lambda1
4.538 * [taylor]: Taking taylor expansion of PI in lambda1
4.538 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
4.539 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2
4.539 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
4.539 * [taylor]: Taking taylor expansion of 1/2 in lambda2
4.539 * [taylor]: Taking taylor expansion of PI in lambda2
4.539 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
4.540 * [taylor]: Taking taylor expansion of 0 in phi2
4.540 * [taylor]: Taking taylor expansion of 0 in lambda1
4.540 * [taylor]: Taking taylor expansion of 0 in lambda2
4.541 * [taylor]: Taking taylor expansion of 0 in lambda1
4.541 * [taylor]: Taking taylor expansion of 0 in lambda2
4.541 * [taylor]: Taking taylor expansion of 0 in lambda2
4.541 * [taylor]: Taking taylor expansion of 0 in phi2
4.541 * [taylor]: Taking taylor expansion of 0 in lambda1
4.541 * [taylor]: Taking taylor expansion of 0 in lambda2
4.541 * [taylor]: Taking taylor expansion of 0 in lambda1
4.541 * [taylor]: Taking taylor expansion of 0 in lambda2
4.541 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in (phi1 phi2 lambda1 lambda2) around 0
4.542 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2
4.542 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
4.542 * [taylor]: Taking taylor expansion of 1/2 in lambda2
4.542 * [taylor]: Taking taylor expansion of PI in lambda2
4.542 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
4.542 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1
4.542 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
4.542 * [taylor]: Taking taylor expansion of 1/2 in lambda1
4.542 * [taylor]: Taking taylor expansion of PI in lambda1
4.542 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
4.542 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2
4.542 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
4.542 * [taylor]: Taking taylor expansion of 1/2 in phi2
4.542 * [taylor]: Taking taylor expansion of PI in phi2
4.542 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
4.543 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1
4.543 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
4.543 * [taylor]: Taking taylor expansion of 1/2 in phi1
4.543 * [taylor]: Taking taylor expansion of PI in phi1
4.543 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
4.543 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1
4.543 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
4.543 * [taylor]: Taking taylor expansion of 1/2 in phi1
4.543 * [taylor]: Taking taylor expansion of PI in phi1
4.543 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
4.547 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2
4.547 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
4.547 * [taylor]: Taking taylor expansion of 1/2 in phi2
4.547 * [taylor]: Taking taylor expansion of PI in phi2
4.547 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
4.548 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1
4.548 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
4.548 * [taylor]: Taking taylor expansion of 1/2 in lambda1
4.548 * [taylor]: Taking taylor expansion of PI in lambda1
4.548 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
4.549 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2
4.549 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
4.549 * [taylor]: Taking taylor expansion of 1/2 in lambda2
4.549 * [taylor]: Taking taylor expansion of PI in lambda2
4.549 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
4.551 * [taylor]: Taking taylor expansion of 0 in phi2
4.551 * [taylor]: Taking taylor expansion of 0 in lambda1
4.551 * [taylor]: Taking taylor expansion of 0 in lambda2
4.551 * [taylor]: Taking taylor expansion of 0 in lambda1
4.551 * [taylor]: Taking taylor expansion of 0 in lambda2
4.551 * [taylor]: Taking taylor expansion of 0 in lambda2
4.551 * [taylor]: Taking taylor expansion of 0 in phi2
4.551 * [taylor]: Taking taylor expansion of 0 in lambda1
4.551 * [taylor]: Taking taylor expansion of 0 in lambda2
4.551 * [taylor]: Taking taylor expansion of 0 in lambda1
4.551 * [taylor]: Taking taylor expansion of 0 in lambda2
4.552 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0
4.552 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2
4.552 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
4.552 * [taylor]: Taking taylor expansion of 1/2 in lambda2
4.552 * [taylor]: Taking taylor expansion of PI in lambda2
4.552 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
4.552 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda1
4.552 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
4.552 * [taylor]: Taking taylor expansion of 1/2 in lambda1
4.552 * [taylor]: Taking taylor expansion of PI in lambda1
4.552 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
4.553 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2
4.553 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
4.553 * [taylor]: Taking taylor expansion of 1/2 in phi2
4.553 * [taylor]: Taking taylor expansion of PI in phi2
4.553 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
4.553 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi1
4.553 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
4.553 * [taylor]: Taking taylor expansion of 1/2 in phi1
4.553 * [taylor]: Taking taylor expansion of PI in phi1
4.553 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
4.554 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi1
4.554 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
4.554 * [taylor]: Taking taylor expansion of 1/2 in phi1
4.554 * [taylor]: Taking taylor expansion of PI in phi1
4.554 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
4.555 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2
4.555 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
4.555 * [taylor]: Taking taylor expansion of 1/2 in phi2
4.555 * [taylor]: Taking taylor expansion of PI in phi2
4.555 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
4.556 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda1
4.556 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
4.556 * [taylor]: Taking taylor expansion of 1/2 in lambda1
4.556 * [taylor]: Taking taylor expansion of PI in lambda1
4.556 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
4.557 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2
4.557 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
4.557 * [taylor]: Taking taylor expansion of 1/2 in lambda2
4.557 * [taylor]: Taking taylor expansion of PI in lambda2
4.557 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
4.559 * [taylor]: Taking taylor expansion of 0 in phi2
4.559 * [taylor]: Taking taylor expansion of 0 in lambda1
4.559 * [taylor]: Taking taylor expansion of 0 in lambda2
4.559 * [taylor]: Taking taylor expansion of 0 in lambda1
4.559 * [taylor]: Taking taylor expansion of 0 in lambda2
4.559 * [taylor]: Taking taylor expansion of 0 in lambda2
4.559 * [taylor]: Taking taylor expansion of 0 in phi2
4.559 * [taylor]: Taking taylor expansion of 0 in lambda1
4.559 * [taylor]: Taking taylor expansion of 0 in lambda2
4.559 * [taylor]: Taking taylor expansion of 0 in lambda1
4.559 * [taylor]: Taking taylor expansion of 0 in lambda2
4.560 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2)
4.560 * [approximate]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0
4.560 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
4.560 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
4.561 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
4.561 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
4.561 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
4.562 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
4.562 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
4.562 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
4.563 * [taylor]: Taking taylor expansion of 0 in phi2
4.563 * [taylor]: Taking taylor expansion of 0 in lambda1
4.563 * [taylor]: Taking taylor expansion of 0 in lambda2
4.563 * [taylor]: Taking taylor expansion of 0 in lambda1
4.563 * [taylor]: Taking taylor expansion of 0 in lambda2
4.563 * [taylor]: Taking taylor expansion of 0 in lambda2
4.563 * [taylor]: Taking taylor expansion of 0 in phi2
4.563 * [taylor]: Taking taylor expansion of 0 in lambda1
4.563 * [taylor]: Taking taylor expansion of 0 in lambda2
4.563 * [taylor]: Taking taylor expansion of 0 in lambda1
4.563 * [taylor]: Taking taylor expansion of 0 in lambda2
4.564 * [approximate]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0
4.564 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
4.564 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
4.564 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
4.565 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
4.565 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
4.565 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
4.566 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
4.566 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
4.567 * [taylor]: Taking taylor expansion of 0 in phi2
4.567 * [taylor]: Taking taylor expansion of 0 in lambda1
4.567 * [taylor]: Taking taylor expansion of 0 in lambda2
4.567 * [taylor]: Taking taylor expansion of 0 in lambda1
4.567 * [taylor]: Taking taylor expansion of 0 in lambda2
4.567 * [taylor]: Taking taylor expansion of 0 in lambda2
4.567 * [taylor]: Taking taylor expansion of 0 in phi2
4.567 * [taylor]: Taking taylor expansion of 0 in lambda1
4.567 * [taylor]: Taking taylor expansion of 0 in lambda2
4.567 * [taylor]: Taking taylor expansion of 0 in lambda1
4.567 * [taylor]: Taking taylor expansion of 0 in lambda2
4.568 * [approximate]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0
4.568 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
4.568 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
4.569 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
4.569 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
4.570 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
4.570 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
4.570 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
4.571 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
4.572 * [taylor]: Taking taylor expansion of 0 in phi2
4.572 * [taylor]: Taking taylor expansion of 0 in lambda1
4.572 * [taylor]: Taking taylor expansion of 0 in lambda2
4.572 * [taylor]: Taking taylor expansion of 0 in lambda1
4.572 * [taylor]: Taking taylor expansion of 0 in lambda2
4.572 * [taylor]: Taking taylor expansion of 0 in lambda2
4.572 * [taylor]: Taking taylor expansion of 0 in phi2
4.572 * [taylor]: Taking taylor expansion of 0 in lambda1
4.572 * [taylor]: Taking taylor expansion of 0 in lambda2
4.572 * [taylor]: Taking taylor expansion of 0 in lambda1
4.572 * [taylor]: Taking taylor expansion of 0 in lambda2
4.572 * * * * [progress]: [ 4 / 4 ] generating series at (2 1)
4.573 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0
4.573 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2
4.573 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
4.573 * [taylor]: Taking taylor expansion of 1/2 in lambda2
4.573 * [taylor]: Taking taylor expansion of PI in lambda2
4.573 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
4.573 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1
4.573 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
4.573 * [taylor]: Taking taylor expansion of 1/2 in lambda1
4.573 * [taylor]: Taking taylor expansion of PI in lambda1
4.573 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
4.573 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2
4.574 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
4.574 * [taylor]: Taking taylor expansion of 1/2 in phi2
4.574 * [taylor]: Taking taylor expansion of PI in phi2
4.574 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
4.574 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1
4.574 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
4.574 * [taylor]: Taking taylor expansion of 1/2 in phi1
4.574 * [taylor]: Taking taylor expansion of PI in phi1
4.574 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
4.574 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1
4.574 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
4.574 * [taylor]: Taking taylor expansion of 1/2 in phi1
4.574 * [taylor]: Taking taylor expansion of PI in phi1
4.574 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
4.575 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2
4.575 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
4.575 * [taylor]: Taking taylor expansion of 1/2 in phi2
4.575 * [taylor]: Taking taylor expansion of PI in phi2
4.575 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
4.576 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1
4.576 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
4.576 * [taylor]: Taking taylor expansion of 1/2 in lambda1
4.576 * [taylor]: Taking taylor expansion of PI in lambda1
4.576 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
4.577 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2
4.577 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
4.577 * [taylor]: Taking taylor expansion of 1/2 in lambda2
4.577 * [taylor]: Taking taylor expansion of PI in lambda2
4.577 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
4.578 * [taylor]: Taking taylor expansion of 0 in phi2
4.578 * [taylor]: Taking taylor expansion of 0 in lambda1
4.578 * [taylor]: Taking taylor expansion of 0 in lambda2
4.578 * [taylor]: Taking taylor expansion of 0 in lambda1
4.578 * [taylor]: Taking taylor expansion of 0 in lambda2
4.578 * [taylor]: Taking taylor expansion of 0 in lambda2
4.578 * [taylor]: Taking taylor expansion of 0 in phi2
4.578 * [taylor]: Taking taylor expansion of 0 in lambda1
4.578 * [taylor]: Taking taylor expansion of 0 in lambda2
4.579 * [taylor]: Taking taylor expansion of 0 in lambda1
4.579 * [taylor]: Taking taylor expansion of 0 in lambda2
4.579 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in (phi1 phi2 lambda1 lambda2) around 0
4.579 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2
4.579 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
4.579 * [taylor]: Taking taylor expansion of 1/2 in lambda2
4.579 * [taylor]: Taking taylor expansion of PI in lambda2
4.579 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
4.580 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1
4.580 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
4.580 * [taylor]: Taking taylor expansion of 1/2 in lambda1
4.580 * [taylor]: Taking taylor expansion of PI in lambda1
4.580 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
4.580 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2
4.580 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
4.580 * [taylor]: Taking taylor expansion of 1/2 in phi2
4.580 * [taylor]: Taking taylor expansion of PI in phi2
4.580 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
4.581 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1
4.581 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
4.581 * [taylor]: Taking taylor expansion of 1/2 in phi1
4.581 * [taylor]: Taking taylor expansion of PI in phi1
4.581 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
4.581 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1
4.581 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
4.581 * [taylor]: Taking taylor expansion of 1/2 in phi1
4.581 * [taylor]: Taking taylor expansion of PI in phi1
4.581 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
4.582 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2
4.582 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
4.582 * [taylor]: Taking taylor expansion of 1/2 in phi2
4.582 * [taylor]: Taking taylor expansion of PI in phi2
4.582 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
4.583 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1
4.583 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
4.583 * [taylor]: Taking taylor expansion of 1/2 in lambda1
4.584 * [taylor]: Taking taylor expansion of PI in lambda1
4.584 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
4.585 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2
4.585 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
4.585 * [taylor]: Taking taylor expansion of 1/2 in lambda2
4.585 * [taylor]: Taking taylor expansion of PI in lambda2
4.585 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
4.586 * [taylor]: Taking taylor expansion of 0 in phi2
4.586 * [taylor]: Taking taylor expansion of 0 in lambda1
4.586 * [taylor]: Taking taylor expansion of 0 in lambda2
4.586 * [taylor]: Taking taylor expansion of 0 in lambda1
4.586 * [taylor]: Taking taylor expansion of 0 in lambda2
4.587 * [taylor]: Taking taylor expansion of 0 in lambda2
4.587 * [taylor]: Taking taylor expansion of 0 in phi2
4.587 * [taylor]: Taking taylor expansion of 0 in lambda1
4.587 * [taylor]: Taking taylor expansion of 0 in lambda2
4.587 * [taylor]: Taking taylor expansion of 0 in lambda1
4.587 * [taylor]: Taking taylor expansion of 0 in lambda2
4.588 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0
4.588 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2
4.588 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
4.588 * [taylor]: Taking taylor expansion of 1/2 in lambda2
4.588 * [taylor]: Taking taylor expansion of PI in lambda2
4.588 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
4.588 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda1
4.588 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
4.588 * [taylor]: Taking taylor expansion of 1/2 in lambda1
4.588 * [taylor]: Taking taylor expansion of PI in lambda1
4.588 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
4.589 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2
4.589 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
4.589 * [taylor]: Taking taylor expansion of 1/2 in phi2
4.589 * [taylor]: Taking taylor expansion of PI in phi2
4.589 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
4.589 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi1
4.589 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
4.589 * [taylor]: Taking taylor expansion of 1/2 in phi1
4.589 * [taylor]: Taking taylor expansion of PI in phi1
4.589 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
4.590 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi1
4.590 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
4.590 * [taylor]: Taking taylor expansion of 1/2 in phi1
4.590 * [taylor]: Taking taylor expansion of PI in phi1
4.590 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
4.591 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2
4.591 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
4.591 * [taylor]: Taking taylor expansion of 1/2 in phi2
4.591 * [taylor]: Taking taylor expansion of PI in phi2
4.591 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
4.592 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda1
4.592 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
4.592 * [taylor]: Taking taylor expansion of 1/2 in lambda1
4.592 * [taylor]: Taking taylor expansion of PI in lambda1
4.592 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
4.593 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2
4.593 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
4.593 * [taylor]: Taking taylor expansion of 1/2 in lambda2
4.593 * [taylor]: Taking taylor expansion of PI in lambda2
4.593 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
4.595 * [taylor]: Taking taylor expansion of 0 in phi2
4.595 * [taylor]: Taking taylor expansion of 0 in lambda1
4.595 * [taylor]: Taking taylor expansion of 0 in lambda2
4.595 * [taylor]: Taking taylor expansion of 0 in lambda1
4.595 * [taylor]: Taking taylor expansion of 0 in lambda2
4.595 * [taylor]: Taking taylor expansion of 0 in lambda2
4.595 * [taylor]: Taking taylor expansion of 0 in phi2
4.595 * [taylor]: Taking taylor expansion of 0 in lambda1
4.595 * [taylor]: Taking taylor expansion of 0 in lambda2
4.595 * [taylor]: Taking taylor expansion of 0 in lambda1
4.595 * [taylor]: Taking taylor expansion of 0 in lambda2
4.596 * * * [progress]: simplifying candidates
4.597 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (exp (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))
  (exp (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))
  (exp 1)
  (exp (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))
  (exp (+ (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))
  (exp 1)
  (exp (/ PI 2))
  (exp (neg (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (exp (- (/ PI 2) (/ PI 2)))
  (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (exp (/ PI 2))
  (exp (neg (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (exp (/ PI 2))
  (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))
  (exp (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))
  (* (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))
  (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))
  (* (* (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))
  (sqrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))
  (sqrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))
  (/ (exp (/ PI 2)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (log (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))
  (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (* (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (- (pow (/ PI 2) 3) (pow (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3))
  (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))
  (neg (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (+ (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (+ (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (- (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (- (/ PI 2) (/ PI 2))
  (neg (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (/ PI 2)
  (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))
  (log (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (* (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (* (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (log (exp (/ PI 2)))
  (log (exp (neg (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))
  (log (exp (- (/ PI 2) (/ PI 2))))
  (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (log (exp (/ PI 2)))
  (log (exp (neg (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))
  (log (* (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))))
  (log (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))
  (log (sqrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))
  (log (sqrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))
  (log 1)
  (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))
  (log (exp (/ PI 2)))
  (log (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))
  (log (exp (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))))
  (log (exp (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))
  (log (exp 1))
  (log (exp (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))
  (log (exp (+ (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))
  (log (exp 1))
  (log (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))
  (exp (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))
  (* (cbrt (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (cbrt (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))))
  (cbrt (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))
  (* (* (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))
  (sqrt (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))
  (sqrt (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))
  (exp (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))))
  (exp (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))))
  (exp (- (* 1/2 PI) (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))
  (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))))
  (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))))
  (- (* 1/2 PI) (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
  (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
  (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
  (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
  (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))))
  (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))))
  (- (* 1/2 PI) (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
4.604 * * [simplify]: iteration  0 :  216  enodes  (cost  1747 )
4.607 * * [simplify]: iteration  1 :  491  enodes  (cost  1603 )
4.614 * * [simplify]: iteration  2 :  1032  enodes  (cost  1573 )
4.626 * * [simplify]: iteration  3 :  2811  enodes  (cost  1567 )
4.671 * * [simplify]: iteration  4 :  5002  enodes  (cost  1567 )
4.677 * [simplify]: Simplified to:
   (exp (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))
  (exp (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))
  E
  (exp (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))
  (exp (+ (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))
  E
  (exp (* 1/2 PI))
  (exp (neg (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  1
  (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (exp (* 1/2 PI))
  (exp (neg (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (exp (* 1/2 PI))
  (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (exp (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))
  (* (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))
  (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))
  (pow (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) 3)
  (sqrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))
  (sqrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))
  (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (log (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))
  (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (pow (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 3)
  (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (- (pow (/ PI 2) 3) (pow (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3))
  (+ (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (+ (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (/ PI 2))) (* (/ PI 2) (/ PI 2)))
  (neg (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (+ (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (+ (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (- (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  0
  (neg (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (/ PI 2)
  (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))
  (log (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (* (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (pow (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3)
  (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (/ PI 2)
  (neg (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  0
  (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))
  (/ PI 2)
  (neg (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (* 2 (log (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))))
  (log (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))
  (log (sqrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))
  (log (sqrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))
  0
  (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (/ PI 2)
  (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))
  (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))
  (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  1
  (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (+ (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  1
  (log (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))
  (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (pow (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 3)
  (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))
  (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))
  (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))
  (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
4.678 * * * [progress]: adding candidates to table
4.782 * [progress]: [Phase 3 of 3] Extracting.
4.782 * * [regime]: Finding splitpoints for: (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (* (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (+ (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (cbrt (pow (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 3)))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (+ (* R (neg (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* R (* 1/2 PI))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (* (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (* 2 (log (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))) (log (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (* (* (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))) R))>)
4.802 * * * [regime-changes]: Trying 9 branch expressions: ((- lambda1 lambda2) (cos (- lambda1 lambda2)) (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) phi2 phi1 lambda2 lambda1 R)
4.802 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (* (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (+ (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (cbrt (pow (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 3)))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (+ (* R (neg (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* R (* 1/2 PI))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (* (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (* 2 (log (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))) (log (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (* (* (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))) R))>)
4.944 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (* (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (+ (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (cbrt (pow (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 3)))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (+ (* R (neg (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* R (* 1/2 PI))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (* (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (* 2 (log (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))) (log (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (* (* (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))) R))>)
5.091 * * * * [regimes]: Trying to branch on (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (* (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (+ (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (cbrt (pow (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 3)))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (+ (* R (neg (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* R (* 1/2 PI))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (* (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (* 2 (log (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))) (log (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (* (* (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))) R))>)
5.255 * * * * [regimes]: Trying to branch on (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (* (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (+ (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (cbrt (pow (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 3)))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (+ (* R (neg (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* R (* 1/2 PI))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (* (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (* 2 (log (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))) (log (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (* (* (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))) R))>)
5.422 * * * * [regimes]: Trying to branch on phi2 from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (* (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (+ (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (cbrt (pow (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 3)))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (+ (* R (neg (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* R (* 1/2 PI))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (* (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (* 2 (log (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))) (log (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (* (* (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))) R))>)
5.566 * * * * [regimes]: Trying to branch on phi1 from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (* (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (+ (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (cbrt (pow (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 3)))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (+ (* R (neg (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* R (* 1/2 PI))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (* (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (* 2 (log (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))) (log (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (* (* (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))) R))>)
5.708 * * * * [regimes]: Trying to branch on lambda2 from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (* (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (+ (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (cbrt (pow (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 3)))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (+ (* R (neg (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* R (* 1/2 PI))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (* (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (* 2 (log (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))) (log (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (* (* (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))) R))>)
5.848 * * * * [regimes]: Trying to branch on lambda1 from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (* (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (+ (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (cbrt (pow (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 3)))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (+ (* R (neg (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* R (* 1/2 PI))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (* (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (* 2 (log (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))) (log (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (* (* (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))) R))>)
5.990 * * * * [regimes]: Trying to branch on R from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (* (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (+ (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (cbrt (pow (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 3)))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (+ (* R (neg (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* R (* 1/2 PI))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (* (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (* 2 (log (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))) (log (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (* (* (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))) R))>)
6.131 * * * [regime]: Found split indices: #<option (#s(si 4 255))>
6.131 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (/ (* (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (+ (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
6.132 * * [simplify]: iteration  0 :  39  enodes  (cost  57 )
6.132 * * [simplify]: iteration  1 :  39  enodes  (cost  57 )
6.132 * [simplify]: Simplified to:
   (/ (* (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (+ (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
20.742 * [regime-testing]: End program error score: 3.961012664403561