14.004 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 3.186 * * * [progress]: [2/2] Setting up program. 3.192 * [progress]: [Phase 2 of 3] Improving. 3.193 * [simplify]: Simplifying using # : (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 3.195 * * [simplify]: iteration 0 : 30 enodes (cost 19 ) 3.195 * * [simplify]: iteration 1 : 30 enodes (cost 19 ) 3.195 * [simplify]: Simplified to: (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))))) R) 3.202 * * [progress]: iteration 1 / 4 3.202 * * * [progress]: picking best candidate 3.212 * * * * [pick]: Picked # 3.212 * * * [progress]: localizing error 3.242 * * * [progress]: generating rewritten candidates 3.242 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 3.246 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 3.247 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 3.250 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 3.256 * * * [progress]: generating series expansions 3.256 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 3.256 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 3.256 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 3.256 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 3.256 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.256 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.256 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 3.256 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 3.256 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.256 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.256 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 3.256 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 3.256 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.256 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.257 * [taylor]: Taking taylor expansion of (cos (neg lambda2)) in lambda2 3.257 * [taylor]: Taking taylor expansion of (neg lambda2) in lambda2 3.257 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.258 * [taylor]: Taking taylor expansion of (neg (sin (neg lambda2))) in lambda2 3.258 * [taylor]: Taking taylor expansion of (sin (neg lambda2)) in lambda2 3.258 * [taylor]: Taking taylor expansion of (neg lambda2) in lambda2 3.258 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.258 * [taylor]: Taking taylor expansion of (neg (* 1/2 (cos (neg lambda2)))) in lambda2 3.258 * [taylor]: Taking taylor expansion of (* 1/2 (cos (neg lambda2))) in lambda2 3.258 * [taylor]: Taking taylor expansion of 1/2 in lambda2 3.258 * [taylor]: Taking taylor expansion of (cos (neg lambda2)) in lambda2 3.258 * [taylor]: Taking taylor expansion of (neg lambda2) in lambda2 3.258 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.259 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 3.259 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 3.259 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 3.259 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 3.259 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.259 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 3.259 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.259 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 3.259 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 3.259 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 3.259 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.259 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 3.259 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.259 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 3.259 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 3.259 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 3.259 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.259 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 3.259 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.259 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 3.259 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 3.259 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 3.259 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.259 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 3.259 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.260 * [taylor]: Taking taylor expansion of 0 in lambda2 3.260 * [taylor]: Taking taylor expansion of 0 in lambda2 3.260 * [taylor]: Taking taylor expansion of 0 in lambda2 3.260 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 3.260 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 3.260 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 3.260 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 3.260 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.260 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 3.260 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.260 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 3.260 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 3.260 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 3.260 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.260 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 3.260 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.260 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 3.260 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 3.260 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 3.260 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.260 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 3.260 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.260 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 3.260 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 3.260 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 3.260 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.261 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 3.261 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.261 * [taylor]: Taking taylor expansion of 0 in lambda2 3.261 * [taylor]: Taking taylor expansion of 0 in lambda2 3.261 * [taylor]: Taking taylor expansion of 0 in lambda2 3.261 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 3.261 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 3.261 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 3.262 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 3.262 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 3.262 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 3.263 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 3.263 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 3.263 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 3.263 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 3.263 * [taylor]: Taking taylor expansion of 0 in phi2 3.263 * [taylor]: Taking taylor expansion of 0 in lambda1 3.263 * [taylor]: Taking taylor expansion of 0 in lambda2 3.263 * [taylor]: Taking taylor expansion of 0 in lambda1 3.263 * [taylor]: Taking taylor expansion of 0 in lambda2 3.263 * [taylor]: Taking taylor expansion of 0 in lambda2 3.264 * [taylor]: Taking taylor expansion of 0 in phi2 3.264 * [taylor]: Taking taylor expansion of 0 in lambda1 3.264 * [taylor]: Taking taylor expansion of 0 in lambda2 3.264 * [taylor]: Taking taylor expansion of 0 in lambda1 3.264 * [taylor]: Taking taylor expansion of 0 in lambda2 3.264 * [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 3.264 * [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 3.264 * [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 3.264 * [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 3.265 * [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 3.265 * [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 3.265 * [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 3.265 * [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 3.265 * [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 3.266 * [taylor]: Taking taylor expansion of 0 in phi2 3.266 * [taylor]: Taking taylor expansion of 0 in lambda1 3.266 * [taylor]: Taking taylor expansion of 0 in lambda2 3.266 * [taylor]: Taking taylor expansion of 0 in lambda1 3.266 * [taylor]: Taking taylor expansion of 0 in lambda2 3.266 * [taylor]: Taking taylor expansion of 0 in lambda2 3.266 * [taylor]: Taking taylor expansion of 0 in phi2 3.266 * [taylor]: Taking taylor expansion of 0 in lambda1 3.266 * [taylor]: Taking taylor expansion of 0 in lambda2 3.266 * [taylor]: Taking taylor expansion of 0 in lambda1 3.266 * [taylor]: Taking taylor expansion of 0 in lambda2 3.267 * [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 3.267 * [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 3.267 * [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 3.267 * [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 3.267 * [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 3.267 * [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 3.268 * [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 3.268 * [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 3.268 * [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 3.268 * [taylor]: Taking taylor expansion of 0 in phi2 3.268 * [taylor]: Taking taylor expansion of 0 in lambda1 3.269 * [taylor]: Taking taylor expansion of 0 in lambda2 3.269 * [taylor]: Taking taylor expansion of 0 in lambda1 3.269 * [taylor]: Taking taylor expansion of 0 in lambda2 3.269 * [taylor]: Taking taylor expansion of 0 in lambda2 3.269 * [taylor]: Taking taylor expansion of 0 in phi2 3.269 * [taylor]: Taking taylor expansion of 0 in lambda1 3.269 * [taylor]: Taking taylor expansion of 0 in lambda2 3.269 * [taylor]: Taking taylor expansion of 0 in lambda1 3.269 * [taylor]: Taking taylor expansion of 0 in lambda2 3.269 * * * * [progress]: [ 3 / 4 ] generating series at (2) 3.269 * [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 3.269 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 3.269 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 3.269 * [taylor]: Taking taylor expansion of R in R 3.269 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 3.269 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 3.270 * [taylor]: Taking taylor expansion of R in lambda2 3.270 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 3.270 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 3.270 * [taylor]: Taking taylor expansion of R in lambda1 3.270 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 3.270 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 3.270 * [taylor]: Taking taylor expansion of R in phi2 3.270 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 3.270 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 3.270 * [taylor]: Taking taylor expansion of R in phi1 3.270 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 3.270 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 3.270 * [taylor]: Taking taylor expansion of R in phi1 3.270 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 3.270 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 3.271 * [taylor]: Taking taylor expansion of R in phi2 3.271 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 3.271 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 3.271 * [taylor]: Taking taylor expansion of R in lambda1 3.271 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 3.271 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 3.271 * [taylor]: Taking taylor expansion of R in lambda2 3.271 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 3.271 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 3.271 * [taylor]: Taking taylor expansion of R in R 3.272 * [taylor]: Taking taylor expansion of 0 in phi2 3.272 * [taylor]: Taking taylor expansion of 0 in lambda1 3.272 * [taylor]: Taking taylor expansion of 0 in lambda2 3.272 * [taylor]: Taking taylor expansion of 0 in R 3.272 * [taylor]: Taking taylor expansion of 0 in lambda1 3.272 * [taylor]: Taking taylor expansion of 0 in lambda2 3.272 * [taylor]: Taking taylor expansion of 0 in R 3.272 * [taylor]: Taking taylor expansion of 0 in lambda2 3.272 * [taylor]: Taking taylor expansion of 0 in R 3.272 * [taylor]: Taking taylor expansion of 0 in R 3.273 * [taylor]: Taking taylor expansion of 0 in phi2 3.273 * [taylor]: Taking taylor expansion of 0 in lambda1 3.273 * [taylor]: Taking taylor expansion of 0 in lambda2 3.273 * [taylor]: Taking taylor expansion of 0 in R 3.273 * [taylor]: Taking taylor expansion of 0 in lambda1 3.273 * [taylor]: Taking taylor expansion of 0 in lambda2 3.273 * [taylor]: Taking taylor expansion of 0 in R 3.273 * [taylor]: Taking taylor expansion of 0 in lambda1 3.273 * [taylor]: Taking taylor expansion of 0 in lambda2 3.273 * [taylor]: Taking taylor expansion of 0 in R 3.273 * [taylor]: Taking taylor expansion of 0 in lambda2 3.273 * [taylor]: Taking taylor expansion of 0 in R 3.273 * [taylor]: Taking taylor expansion of 0 in lambda2 3.273 * [taylor]: Taking taylor expansion of 0 in R 3.274 * [taylor]: Taking taylor expansion of 0 in lambda2 3.274 * [taylor]: Taking taylor expansion of 0 in R 3.274 * [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 3.274 * [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 3.274 * [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 3.274 * [taylor]: Taking taylor expansion of R in R 3.275 * [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 3.275 * [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 3.275 * [taylor]: Taking taylor expansion of R in lambda2 3.275 * [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 3.275 * [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 3.275 * [taylor]: Taking taylor expansion of R in lambda1 3.275 * [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 3.275 * [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 3.276 * [taylor]: Taking taylor expansion of R in phi2 3.276 * [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 3.276 * [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 3.276 * [taylor]: Taking taylor expansion of R in phi1 3.276 * [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 3.276 * [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 3.276 * [taylor]: Taking taylor expansion of R in phi1 3.277 * [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 3.277 * [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 3.277 * [taylor]: Taking taylor expansion of R in phi2 3.277 * [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 3.277 * [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 3.277 * [taylor]: Taking taylor expansion of R in lambda1 3.278 * [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 3.278 * [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 3.278 * [taylor]: Taking taylor expansion of R in lambda2 3.278 * [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 3.278 * [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 3.278 * [taylor]: Taking taylor expansion of R in R 3.279 * [taylor]: Taking taylor expansion of 0 in phi2 3.279 * [taylor]: Taking taylor expansion of 0 in lambda1 3.279 * [taylor]: Taking taylor expansion of 0 in lambda2 3.279 * [taylor]: Taking taylor expansion of 0 in R 3.279 * [taylor]: Taking taylor expansion of 0 in lambda1 3.279 * [taylor]: Taking taylor expansion of 0 in lambda2 3.279 * [taylor]: Taking taylor expansion of 0 in R 3.279 * [taylor]: Taking taylor expansion of 0 in lambda2 3.279 * [taylor]: Taking taylor expansion of 0 in R 3.280 * [taylor]: Taking taylor expansion of 0 in R 3.280 * [taylor]: Taking taylor expansion of 0 in phi2 3.280 * [taylor]: Taking taylor expansion of 0 in lambda1 3.280 * [taylor]: Taking taylor expansion of 0 in lambda2 3.280 * [taylor]: Taking taylor expansion of 0 in R 3.280 * [taylor]: Taking taylor expansion of 0 in lambda1 3.280 * [taylor]: Taking taylor expansion of 0 in lambda2 3.280 * [taylor]: Taking taylor expansion of 0 in R 3.281 * [taylor]: Taking taylor expansion of 0 in lambda1 3.281 * [taylor]: Taking taylor expansion of 0 in lambda2 3.281 * [taylor]: Taking taylor expansion of 0 in R 3.281 * [taylor]: Taking taylor expansion of 0 in lambda2 3.281 * [taylor]: Taking taylor expansion of 0 in R 3.281 * [taylor]: Taking taylor expansion of 0 in lambda2 3.281 * [taylor]: Taking taylor expansion of 0 in R 3.281 * [taylor]: Taking taylor expansion of 0 in lambda2 3.281 * [taylor]: Taking taylor expansion of 0 in R 3.281 * [taylor]: Taking taylor expansion of 0 in R 3.281 * [taylor]: Taking taylor expansion of 0 in R 3.281 * [taylor]: Taking taylor expansion of 0 in R 3.281 * [taylor]: Taking taylor expansion of 0 in R 3.282 * [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 3.282 * [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 3.282 * [taylor]: Taking taylor expansion of -1 in R 3.282 * [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 3.282 * [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 3.282 * [taylor]: Taking taylor expansion of R in R 3.283 * [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 3.283 * [taylor]: Taking taylor expansion of -1 in lambda2 3.283 * [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 3.283 * [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 3.283 * [taylor]: Taking taylor expansion of R in lambda2 3.283 * [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 3.283 * [taylor]: Taking taylor expansion of -1 in lambda1 3.283 * [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 3.283 * [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 3.283 * [taylor]: Taking taylor expansion of R in lambda1 3.284 * [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 3.284 * [taylor]: Taking taylor expansion of -1 in phi2 3.284 * [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 3.284 * [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 3.284 * [taylor]: Taking taylor expansion of R in phi2 3.284 * [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 3.284 * [taylor]: Taking taylor expansion of -1 in phi1 3.284 * [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 3.284 * [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 3.284 * [taylor]: Taking taylor expansion of R in phi1 3.285 * [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 3.285 * [taylor]: Taking taylor expansion of -1 in phi1 3.285 * [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 3.285 * [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 3.285 * [taylor]: Taking taylor expansion of R in phi1 3.285 * [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 3.285 * [taylor]: Taking taylor expansion of -1 in phi2 3.285 * [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 3.285 * [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 3.285 * [taylor]: Taking taylor expansion of R in phi2 3.286 * [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 3.286 * [taylor]: Taking taylor expansion of -1 in lambda1 3.286 * [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 3.286 * [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 3.286 * [taylor]: Taking taylor expansion of R in lambda1 3.286 * [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 3.286 * [taylor]: Taking taylor expansion of -1 in lambda2 3.287 * [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 3.287 * [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 3.287 * [taylor]: Taking taylor expansion of R in lambda2 3.287 * [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 3.287 * [taylor]: Taking taylor expansion of -1 in R 3.287 * [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 3.287 * [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 3.287 * [taylor]: Taking taylor expansion of R in R 3.288 * [taylor]: Taking taylor expansion of 0 in phi2 3.288 * [taylor]: Taking taylor expansion of 0 in lambda1 3.288 * [taylor]: Taking taylor expansion of 0 in lambda2 3.289 * [taylor]: Taking taylor expansion of 0 in R 3.289 * [taylor]: Taking taylor expansion of 0 in lambda1 3.289 * [taylor]: Taking taylor expansion of 0 in lambda2 3.289 * [taylor]: Taking taylor expansion of 0 in R 3.289 * [taylor]: Taking taylor expansion of 0 in lambda2 3.289 * [taylor]: Taking taylor expansion of 0 in R 3.290 * [taylor]: Taking taylor expansion of 0 in R 3.291 * [taylor]: Taking taylor expansion of 0 in phi2 3.291 * [taylor]: Taking taylor expansion of 0 in lambda1 3.291 * [taylor]: Taking taylor expansion of 0 in lambda2 3.291 * [taylor]: Taking taylor expansion of 0 in R 3.291 * [taylor]: Taking taylor expansion of 0 in lambda1 3.291 * [taylor]: Taking taylor expansion of 0 in lambda2 3.291 * [taylor]: Taking taylor expansion of 0 in R 3.291 * [taylor]: Taking taylor expansion of 0 in lambda1 3.291 * [taylor]: Taking taylor expansion of 0 in lambda2 3.291 * [taylor]: Taking taylor expansion of 0 in R 3.291 * [taylor]: Taking taylor expansion of 0 in lambda2 3.291 * [taylor]: Taking taylor expansion of 0 in R 3.291 * [taylor]: Taking taylor expansion of 0 in lambda2 3.291 * [taylor]: Taking taylor expansion of 0 in R 3.292 * [taylor]: Taking taylor expansion of 0 in lambda2 3.292 * [taylor]: Taking taylor expansion of 0 in R 3.292 * [taylor]: Taking taylor expansion of 0 in R 3.292 * [taylor]: Taking taylor expansion of 0 in R 3.292 * [taylor]: Taking taylor expansion of 0 in R 3.292 * [taylor]: Taking taylor expansion of 0 in R 3.293 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 3.293 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 3.293 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 3.293 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 3.293 * [taylor]: Taking taylor expansion of phi1 in phi2 3.294 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 3.294 * [taylor]: Taking taylor expansion of phi2 in phi2 3.294 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 3.294 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 3.294 * [taylor]: Taking taylor expansion of phi1 in phi1 3.294 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 3.294 * [taylor]: Taking taylor expansion of phi2 in phi1 3.294 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 3.294 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 3.294 * [taylor]: Taking taylor expansion of phi1 in phi1 3.294 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 3.294 * [taylor]: Taking taylor expansion of phi2 in phi1 3.294 * [taylor]: Taking taylor expansion of 0 in phi2 3.294 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 3.294 * [taylor]: Taking taylor expansion of phi2 in phi2 3.295 * [taylor]: Taking taylor expansion of 0 in phi2 3.295 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin phi2))) in phi2 3.296 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 3.296 * [taylor]: Taking taylor expansion of 1/6 in phi2 3.296 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 3.296 * [taylor]: Taking taylor expansion of phi2 in phi2 3.296 * [taylor]: Taking taylor expansion of 0 in phi2 3.296 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 3.297 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 3.297 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 3.297 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 3.297 * [taylor]: Taking taylor expansion of phi1 in phi2 3.297 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 3.297 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 3.297 * [taylor]: Taking taylor expansion of phi2 in phi2 3.297 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 3.297 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 3.297 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 3.297 * [taylor]: Taking taylor expansion of phi1 in phi1 3.297 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 3.297 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 3.297 * [taylor]: Taking taylor expansion of phi2 in phi1 3.297 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 3.297 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 3.297 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 3.297 * [taylor]: Taking taylor expansion of phi1 in phi1 3.297 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 3.297 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 3.297 * [taylor]: Taking taylor expansion of phi2 in phi1 3.297 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 3.297 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 3.297 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 3.297 * [taylor]: Taking taylor expansion of phi1 in phi2 3.297 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 3.297 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 3.297 * [taylor]: Taking taylor expansion of phi2 in phi2 3.298 * [taylor]: Taking taylor expansion of 0 in phi2 3.299 * [taylor]: Taking taylor expansion of 0 in phi2 3.299 * [taylor]: Taking taylor expansion of 0 in phi2 3.300 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 3.300 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 3.300 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 3.300 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 3.300 * [taylor]: Taking taylor expansion of -1 in phi2 3.300 * [taylor]: Taking taylor expansion of phi1 in phi2 3.300 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 3.300 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 3.300 * [taylor]: Taking taylor expansion of -1 in phi2 3.300 * [taylor]: Taking taylor expansion of phi2 in phi2 3.300 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 3.300 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 3.300 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 3.300 * [taylor]: Taking taylor expansion of -1 in phi1 3.300 * [taylor]: Taking taylor expansion of phi1 in phi1 3.300 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 3.300 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 3.300 * [taylor]: Taking taylor expansion of -1 in phi1 3.300 * [taylor]: Taking taylor expansion of phi2 in phi1 3.300 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 3.300 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 3.300 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 3.300 * [taylor]: Taking taylor expansion of -1 in phi1 3.300 * [taylor]: Taking taylor expansion of phi1 in phi1 3.300 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 3.300 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 3.300 * [taylor]: Taking taylor expansion of -1 in phi1 3.300 * [taylor]: Taking taylor expansion of phi2 in phi1 3.300 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 3.300 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 3.300 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 3.300 * [taylor]: Taking taylor expansion of -1 in phi2 3.300 * [taylor]: Taking taylor expansion of phi1 in phi2 3.301 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 3.301 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 3.301 * [taylor]: Taking taylor expansion of -1 in phi2 3.301 * [taylor]: Taking taylor expansion of phi2 in phi2 3.301 * [taylor]: Taking taylor expansion of 0 in phi2 3.302 * [taylor]: Taking taylor expansion of 0 in phi2 3.303 * [taylor]: Taking taylor expansion of 0 in phi2 3.303 * * * [progress]: simplifying candidates 3.303 * [simplify]: Simplifying using # : (* (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)) 3.353 * * [simplify]: iteration 0 : 4915 enodes (cost 876 ) 3.353 * * [simplify]: iteration 1 : 4915 enodes (cost 876 ) 3.356 * [simplify]: Simplified to: (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (neg (sin 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 (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R)) (pow (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) R) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (pow (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) (* (sin phi2) (cbrt (sin phi1))) (* (sin phi2) (sqrt (sin phi1))) (* (sin phi1) (sin phi2)) (+ 1 (* lambda1 (- lambda2 (* lambda1 1/2)))) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) (* phi1 phi2) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 3.356 * * * [progress]: adding candidates to table 3.444 * * [progress]: iteration 2 / 4 3.444 * * * [progress]: picking best candidate 3.508 * * * * [pick]: Picked # 3.509 * * * [progress]: localizing error 3.540 * * * [progress]: generating rewritten candidates 3.540 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 3.542 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 3.545 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 3.549 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 3.560 * * * [progress]: generating series expansions 3.560 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 3.561 * [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 3.561 * [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 3.561 * [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 3.562 * [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 3.562 * [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 3.562 * [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 3.562 * [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 3.563 * [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 3.563 * [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 3.564 * [taylor]: Taking taylor expansion of 0 in phi2 3.564 * [taylor]: Taking taylor expansion of 0 in lambda1 3.564 * [taylor]: Taking taylor expansion of 0 in lambda2 3.564 * [taylor]: Taking taylor expansion of 0 in lambda1 3.564 * [taylor]: Taking taylor expansion of 0 in lambda2 3.564 * [taylor]: Taking taylor expansion of 0 in lambda2 3.564 * [taylor]: Taking taylor expansion of 0 in phi2 3.564 * [taylor]: Taking taylor expansion of 0 in lambda1 3.564 * [taylor]: Taking taylor expansion of 0 in lambda2 3.564 * [taylor]: Taking taylor expansion of 0 in lambda1 3.564 * [taylor]: Taking taylor expansion of 0 in lambda2 3.564 * [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 3.564 * [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 3.565 * [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 3.565 * [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 3.566 * [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 3.566 * [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 3.566 * [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 3.567 * [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 3.567 * [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 3.568 * [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 3.568 * [taylor]: Taking taylor expansion of 0 in lambda1 3.568 * [taylor]: Taking taylor expansion of 0 in lambda2 3.568 * [taylor]: Taking taylor expansion of 0 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 3.568 * [taylor]: Taking taylor expansion of 0 in lambda1 3.568 * [taylor]: Taking taylor expansion of 0 in lambda2 3.571 * [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 3.571 * [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 3.571 * [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 3.571 * [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 3.572 * [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 3.572 * [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 3.573 * [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 3.573 * [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 3.573 * [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 3.574 * [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 * [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 3.575 * * * * [progress]: [ 2 / 4 ] generating series at (2) 3.575 * [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 3.575 * [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 3.575 * [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 3.576 * [taylor]: Taking taylor expansion of R in R 3.576 * [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 3.576 * [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 3.576 * [taylor]: Taking taylor expansion of R in lambda2 3.576 * [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 3.576 * [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 3.576 * [taylor]: Taking taylor expansion of R in lambda1 3.576 * [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 3.576 * [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 3.576 * [taylor]: Taking taylor expansion of R in phi2 3.576 * [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 3.577 * [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 3.577 * [taylor]: Taking taylor expansion of R in phi1 3.577 * [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 3.577 * [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 3.577 * [taylor]: Taking taylor expansion of R in phi1 3.577 * [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 3.577 * [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 3.578 * [taylor]: Taking taylor expansion of R in phi2 3.578 * [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 3.578 * [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 3.578 * [taylor]: Taking taylor expansion of R in lambda1 3.578 * [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 3.579 * [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 3.579 * [taylor]: Taking taylor expansion of R in lambda2 3.579 * [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 3.579 * [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 3.579 * [taylor]: Taking taylor expansion of R in R 3.580 * [taylor]: Taking taylor expansion of 0 in phi2 3.580 * [taylor]: Taking taylor expansion of 0 in lambda1 3.580 * [taylor]: Taking taylor expansion of 0 in lambda2 3.580 * [taylor]: Taking taylor expansion of 0 in R 3.580 * [taylor]: Taking taylor expansion of 0 in lambda1 3.580 * [taylor]: Taking taylor expansion of 0 in lambda2 3.580 * [taylor]: Taking taylor expansion of 0 in R 3.581 * [taylor]: Taking taylor expansion of 0 in lambda2 3.581 * [taylor]: Taking taylor expansion of 0 in R 3.581 * [taylor]: Taking taylor expansion of 0 in R 3.582 * [taylor]: Taking taylor expansion of 0 in phi2 3.582 * [taylor]: Taking taylor expansion of 0 in lambda1 3.582 * [taylor]: Taking taylor expansion of 0 in lambda2 3.582 * [taylor]: Taking taylor expansion of 0 in R 3.582 * [taylor]: Taking taylor expansion of 0 in lambda1 3.582 * [taylor]: Taking taylor expansion of 0 in lambda2 3.582 * [taylor]: Taking taylor expansion of 0 in R 3.582 * [taylor]: Taking taylor expansion of 0 in lambda1 3.582 * [taylor]: Taking taylor expansion of 0 in lambda2 3.582 * [taylor]: Taking taylor expansion of 0 in R 3.582 * [taylor]: Taking taylor expansion of 0 in lambda2 3.582 * [taylor]: Taking taylor expansion of 0 in R 3.582 * [taylor]: Taking taylor expansion of 0 in lambda2 3.582 * [taylor]: Taking taylor expansion of 0 in R 3.583 * [taylor]: Taking taylor expansion of 0 in lambda2 3.583 * [taylor]: Taking taylor expansion of 0 in R 3.583 * [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 3.584 * [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 3.584 * [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 3.584 * [taylor]: Taking taylor expansion of R in R 3.584 * [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 3.584 * [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 3.585 * [taylor]: Taking taylor expansion of R in lambda2 3.585 * [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 3.585 * [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 3.585 * [taylor]: Taking taylor expansion of R in lambda1 3.586 * [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 3.586 * [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 3.586 * [taylor]: Taking taylor expansion of R in phi2 3.586 * [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 3.586 * [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 3.587 * [taylor]: Taking taylor expansion of R in phi1 3.587 * [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 3.587 * [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 3.588 * [taylor]: Taking taylor expansion of R in phi1 3.588 * [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 3.588 * [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 3.588 * [taylor]: Taking taylor expansion of R in phi2 3.589 * [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 3.589 * [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 3.589 * [taylor]: Taking taylor expansion of R in lambda1 3.589 * [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 3.589 * [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 3.590 * [taylor]: Taking taylor expansion of R in lambda2 3.590 * [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 3.590 * [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 3.591 * [taylor]: Taking taylor expansion of R in R 3.592 * [taylor]: Taking taylor expansion of 0 in phi2 3.592 * [taylor]: Taking taylor expansion of 0 in lambda1 3.592 * [taylor]: Taking taylor expansion of 0 in lambda2 3.592 * [taylor]: Taking taylor expansion of 0 in R 3.592 * [taylor]: Taking taylor expansion of 0 in lambda1 3.592 * [taylor]: Taking taylor expansion of 0 in lambda2 3.592 * [taylor]: Taking taylor expansion of 0 in R 3.593 * [taylor]: Taking taylor expansion of 0 in lambda2 3.593 * [taylor]: Taking taylor expansion of 0 in R 3.593 * [taylor]: Taking taylor expansion of 0 in R 3.594 * [taylor]: Taking taylor expansion of 0 in phi2 3.594 * [taylor]: Taking taylor expansion of 0 in lambda1 3.594 * [taylor]: Taking taylor expansion of 0 in lambda2 3.594 * [taylor]: Taking taylor expansion of 0 in R 3.594 * [taylor]: Taking taylor expansion of 0 in lambda1 3.594 * [taylor]: Taking taylor expansion of 0 in lambda2 3.594 * [taylor]: Taking taylor expansion of 0 in R 3.594 * [taylor]: Taking taylor expansion of 0 in lambda1 3.595 * [taylor]: Taking taylor expansion of 0 in lambda2 3.595 * [taylor]: Taking taylor expansion of 0 in R 3.595 * [taylor]: Taking taylor expansion of 0 in lambda2 3.595 * [taylor]: Taking taylor expansion of 0 in R 3.595 * [taylor]: Taking taylor expansion of 0 in lambda2 3.595 * [taylor]: Taking taylor expansion of 0 in R 3.595 * [taylor]: Taking taylor expansion of 0 in lambda2 3.595 * [taylor]: Taking taylor expansion of 0 in R 3.595 * [taylor]: Taking taylor expansion of 0 in R 3.595 * [taylor]: Taking taylor expansion of 0 in R 3.595 * [taylor]: Taking taylor expansion of 0 in R 3.596 * [taylor]: Taking taylor expansion of 0 in R 3.597 * [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 3.597 * [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 3.597 * [taylor]: Taking taylor expansion of -1 in R 3.597 * [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 3.597 * [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 3.597 * [taylor]: Taking taylor expansion of R in R 3.598 * [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 3.598 * [taylor]: Taking taylor expansion of -1 in lambda2 3.598 * [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 3.598 * [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 3.598 * [taylor]: Taking taylor expansion of R in lambda2 3.598 * [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 3.598 * [taylor]: Taking taylor expansion of -1 in lambda1 3.598 * [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 3.599 * [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 3.599 * [taylor]: Taking taylor expansion of R in lambda1 3.599 * [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 3.599 * [taylor]: Taking taylor expansion of -1 in phi2 3.599 * [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 3.599 * [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 3.600 * [taylor]: Taking taylor expansion of R in phi2 3.600 * [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 3.600 * [taylor]: Taking taylor expansion of -1 in phi1 3.600 * [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 3.600 * [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 3.600 * [taylor]: Taking taylor expansion of R in phi1 3.601 * [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 3.601 * [taylor]: Taking taylor expansion of -1 in phi1 3.601 * [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 3.601 * [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 3.601 * [taylor]: Taking taylor expansion of R in phi1 3.602 * [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 3.602 * [taylor]: Taking taylor expansion of -1 in phi2 3.602 * [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 3.602 * [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 3.602 * [taylor]: Taking taylor expansion of R in phi2 3.603 * [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 3.603 * [taylor]: Taking taylor expansion of -1 in lambda1 3.603 * [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 3.603 * [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 3.603 * [taylor]: Taking taylor expansion of R in lambda1 3.604 * [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 3.605 * [taylor]: Taking taylor expansion of -1 in lambda2 3.605 * [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 3.605 * [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 3.605 * [taylor]: Taking taylor expansion of R in lambda2 3.606 * [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 3.606 * [taylor]: Taking taylor expansion of -1 in R 3.606 * [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 3.606 * [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 3.606 * [taylor]: Taking taylor expansion of R in R 3.608 * [taylor]: Taking taylor expansion of 0 in phi2 3.608 * [taylor]: Taking taylor expansion of 0 in lambda1 3.608 * [taylor]: Taking taylor expansion of 0 in lambda2 3.608 * [taylor]: Taking taylor expansion of 0 in R 3.609 * [taylor]: Taking taylor expansion of 0 in lambda1 3.609 * [taylor]: Taking taylor expansion of 0 in lambda2 3.609 * [taylor]: Taking taylor expansion of 0 in R 3.610 * [taylor]: Taking taylor expansion of 0 in lambda2 3.610 * [taylor]: Taking taylor expansion of 0 in R 3.610 * [taylor]: Taking taylor expansion of 0 in R 3.612 * [taylor]: Taking taylor expansion of 0 in phi2 3.612 * [taylor]: Taking taylor expansion of 0 in lambda1 3.612 * [taylor]: Taking taylor expansion of 0 in lambda2 3.612 * [taylor]: Taking taylor expansion of 0 in R 3.612 * [taylor]: Taking taylor expansion of 0 in lambda1 3.612 * [taylor]: Taking taylor expansion of 0 in lambda2 3.612 * [taylor]: Taking taylor expansion of 0 in R 3.613 * [taylor]: Taking taylor expansion of 0 in lambda1 3.613 * [taylor]: Taking taylor expansion of 0 in lambda2 3.613 * [taylor]: Taking taylor expansion of 0 in R 3.613 * [taylor]: Taking taylor expansion of 0 in lambda2 3.613 * [taylor]: Taking taylor expansion of 0 in R 3.613 * [taylor]: Taking taylor expansion of 0 in lambda2 3.613 * [taylor]: Taking taylor expansion of 0 in R 3.614 * [taylor]: Taking taylor expansion of 0 in lambda2 3.614 * [taylor]: Taking taylor expansion of 0 in R 3.614 * [taylor]: Taking taylor expansion of 0 in R 3.614 * [taylor]: Taking taylor expansion of 0 in R 3.614 * [taylor]: Taking taylor expansion of 0 in R 3.615 * [taylor]: Taking taylor expansion of 0 in R 3.616 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 3.616 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 3.616 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 3.616 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 3.616 * [taylor]: Taking taylor expansion of phi1 in phi2 3.616 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 3.616 * [taylor]: Taking taylor expansion of phi2 in phi2 3.616 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 3.616 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 3.616 * [taylor]: Taking taylor expansion of phi1 in phi1 3.616 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 3.616 * [taylor]: Taking taylor expansion of phi2 in phi1 3.616 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 3.616 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 3.616 * [taylor]: Taking taylor expansion of phi1 in phi1 3.616 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 3.616 * [taylor]: Taking taylor expansion of phi2 in phi1 3.616 * [taylor]: Taking taylor expansion of 0 in phi2 3.617 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 3.617 * [taylor]: Taking taylor expansion of phi2 in phi2 3.617 * [taylor]: Taking taylor expansion of 0 in phi2 3.618 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin phi2))) in phi2 3.618 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 3.618 * [taylor]: Taking taylor expansion of 1/6 in phi2 3.618 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 3.618 * [taylor]: Taking taylor expansion of phi2 in phi2 3.619 * [taylor]: Taking taylor expansion of 0 in phi2 3.619 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 3.619 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 3.619 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 3.619 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 3.619 * [taylor]: Taking taylor expansion of phi1 in phi2 3.619 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 3.619 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 3.619 * [taylor]: Taking taylor expansion of phi2 in phi2 3.619 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 3.619 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 3.619 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 3.619 * [taylor]: Taking taylor expansion of phi1 in phi1 3.619 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 3.619 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 3.619 * [taylor]: Taking taylor expansion of phi2 in phi1 3.619 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 3.619 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 3.619 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 3.619 * [taylor]: Taking taylor expansion of phi1 in phi1 3.619 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 3.619 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 3.619 * [taylor]: Taking taylor expansion of phi2 in phi1 3.619 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 3.619 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 3.619 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 3.620 * [taylor]: Taking taylor expansion of phi1 in phi2 3.620 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 3.620 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 3.620 * [taylor]: Taking taylor expansion of phi2 in phi2 3.620 * [taylor]: Taking taylor expansion of 0 in phi2 3.621 * [taylor]: Taking taylor expansion of 0 in phi2 3.621 * [taylor]: Taking taylor expansion of 0 in phi2 3.622 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 3.622 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 3.622 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 3.622 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 3.622 * [taylor]: Taking taylor expansion of -1 in phi2 3.622 * [taylor]: Taking taylor expansion of phi1 in phi2 3.622 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 3.622 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 3.622 * [taylor]: Taking taylor expansion of -1 in phi2 3.622 * [taylor]: Taking taylor expansion of phi2 in phi2 3.622 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 3.622 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 3.622 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 3.622 * [taylor]: Taking taylor expansion of -1 in phi1 3.622 * [taylor]: Taking taylor expansion of phi1 in phi1 3.622 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 3.622 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 3.622 * [taylor]: Taking taylor expansion of -1 in phi1 3.622 * [taylor]: Taking taylor expansion of phi2 in phi1 3.622 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 3.622 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 3.622 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 3.622 * [taylor]: Taking taylor expansion of -1 in phi1 3.622 * [taylor]: Taking taylor expansion of phi1 in phi1 3.622 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 3.622 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 3.622 * [taylor]: Taking taylor expansion of -1 in phi1 3.622 * [taylor]: Taking taylor expansion of phi2 in phi1 3.623 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 3.623 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 3.623 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 3.623 * [taylor]: Taking taylor expansion of -1 in phi2 3.623 * [taylor]: Taking taylor expansion of phi1 in phi2 3.623 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 3.623 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 3.623 * [taylor]: Taking taylor expansion of -1 in phi2 3.623 * [taylor]: Taking taylor expansion of phi2 in phi2 3.623 * [taylor]: Taking taylor expansion of 0 in phi2 3.624 * [taylor]: Taking taylor expansion of 0 in phi2 3.625 * [taylor]: Taking taylor expansion of 0 in phi2 3.625 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 3.625 * [approximate]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in (phi1 phi2 lambda1 lambda2) around 0 3.625 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in lambda2 3.625 * [taylor]: Taking taylor expansion of (cos phi1) in lambda2 3.625 * [taylor]: Taking taylor expansion of phi1 in lambda2 3.625 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in lambda2 3.625 * [taylor]: Taking taylor expansion of (cos phi2) in lambda2 3.625 * [taylor]: Taking taylor expansion of phi2 in lambda2 3.625 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in lambda2 3.625 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda2 3.625 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda2 3.625 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.625 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 3.625 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.625 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 3.625 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 3.625 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.625 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 3.625 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.625 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in lambda1 3.625 * [taylor]: Taking taylor expansion of (cos phi1) in lambda1 3.625 * [taylor]: Taking taylor expansion of phi1 in lambda1 3.625 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in lambda1 3.625 * [taylor]: Taking taylor expansion of (cos phi2) in lambda1 3.625 * [taylor]: Taking taylor expansion of phi2 in lambda1 3.626 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in lambda1 3.626 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 3.626 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 3.626 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.626 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 3.626 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.626 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 3.626 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 3.626 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.626 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 3.626 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.626 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in phi2 3.626 * [taylor]: Taking taylor expansion of (cos phi1) in phi2 3.626 * [taylor]: Taking taylor expansion of phi1 in phi2 3.626 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in phi2 3.626 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 3.626 * [taylor]: Taking taylor expansion of phi2 in phi2 3.626 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in phi2 3.626 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi2 3.626 * [taylor]: Taking taylor expansion of (cos lambda1) in phi2 3.626 * [taylor]: Taking taylor expansion of lambda1 in phi2 3.626 * [taylor]: Taking taylor expansion of (cos lambda2) in phi2 3.626 * [taylor]: Taking taylor expansion of lambda2 in phi2 3.626 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi2 3.626 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 3.626 * [taylor]: Taking taylor expansion of lambda1 in phi2 3.626 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 3.626 * [taylor]: Taking taylor expansion of lambda2 in phi2 3.626 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in phi1 3.626 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 3.626 * [taylor]: Taking taylor expansion of phi1 in phi1 3.626 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in phi1 3.626 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 3.626 * [taylor]: Taking taylor expansion of phi2 in phi1 3.626 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in phi1 3.626 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi1 3.626 * [taylor]: Taking taylor expansion of (cos lambda1) in phi1 3.626 * [taylor]: Taking taylor expansion of lambda1 in phi1 3.626 * [taylor]: Taking taylor expansion of (cos lambda2) in phi1 3.626 * [taylor]: Taking taylor expansion of lambda2 in phi1 3.626 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi1 3.626 * [taylor]: Taking taylor expansion of (sin lambda1) in phi1 3.626 * [taylor]: Taking taylor expansion of lambda1 in phi1 3.626 * [taylor]: Taking taylor expansion of (sin lambda2) in phi1 3.627 * [taylor]: Taking taylor expansion of lambda2 in phi1 3.627 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in phi1 3.627 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 3.627 * [taylor]: Taking taylor expansion of phi1 in phi1 3.627 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in phi1 3.627 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 3.627 * [taylor]: Taking taylor expansion of phi2 in phi1 3.627 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in phi1 3.627 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi1 3.627 * [taylor]: Taking taylor expansion of (cos lambda1) in phi1 3.627 * [taylor]: Taking taylor expansion of lambda1 in phi1 3.627 * [taylor]: Taking taylor expansion of (cos lambda2) in phi1 3.627 * [taylor]: Taking taylor expansion of lambda2 in phi1 3.627 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi1 3.627 * [taylor]: Taking taylor expansion of (sin lambda1) in phi1 3.627 * [taylor]: Taking taylor expansion of lambda1 in phi1 3.627 * [taylor]: Taking taylor expansion of (sin lambda2) in phi1 3.627 * [taylor]: Taking taylor expansion of lambda2 in phi1 3.628 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in phi2 3.628 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 3.628 * [taylor]: Taking taylor expansion of phi2 in phi2 3.628 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in phi2 3.628 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi2 3.628 * [taylor]: Taking taylor expansion of (cos lambda1) in phi2 3.628 * [taylor]: Taking taylor expansion of lambda1 in phi2 3.628 * [taylor]: Taking taylor expansion of (cos lambda2) in phi2 3.628 * [taylor]: Taking taylor expansion of lambda2 in phi2 3.628 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi2 3.628 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 3.628 * [taylor]: Taking taylor expansion of lambda1 in phi2 3.628 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 3.628 * [taylor]: Taking taylor expansion of lambda2 in phi2 3.628 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in lambda1 3.628 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 3.628 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 3.628 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.628 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 3.628 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.628 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 3.628 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 3.628 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.628 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 3.628 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.629 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 3.629 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.630 * [taylor]: Taking taylor expansion of 0 in phi2 3.630 * [taylor]: Taking taylor expansion of 0 in lambda1 3.630 * [taylor]: Taking taylor expansion of 0 in lambda2 3.630 * [taylor]: Taking taylor expansion of 0 in lambda1 3.630 * [taylor]: Taking taylor expansion of 0 in lambda2 3.631 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 3.631 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.632 * [taylor]: Taking taylor expansion of (neg (+ (* 1/2 (* (cos lambda1) (* (cos phi2) (cos lambda2)))) (* 1/2 (* (sin lambda1) (* (cos phi2) (sin lambda2)))))) in phi2 3.632 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (cos lambda1) (* (cos phi2) (cos lambda2)))) (* 1/2 (* (sin lambda1) (* (cos phi2) (sin lambda2))))) in phi2 3.632 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos lambda1) (* (cos phi2) (cos lambda2)))) in phi2 3.632 * [taylor]: Taking taylor expansion of 1/2 in phi2 3.633 * [taylor]: Taking taylor expansion of (* (cos lambda1) (* (cos phi2) (cos lambda2))) in phi2 3.633 * [taylor]: Taking taylor expansion of (cos lambda1) in phi2 3.633 * [taylor]: Taking taylor expansion of lambda1 in phi2 3.633 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos lambda2)) in phi2 3.633 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 3.633 * [taylor]: Taking taylor expansion of phi2 in phi2 3.633 * [taylor]: Taking taylor expansion of (cos lambda2) in phi2 3.633 * [taylor]: Taking taylor expansion of lambda2 in phi2 3.633 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (* (cos phi2) (sin lambda2)))) in phi2 3.633 * [taylor]: Taking taylor expansion of 1/2 in phi2 3.633 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi2) (sin lambda2))) in phi2 3.633 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 3.633 * [taylor]: Taking taylor expansion of lambda1 in phi2 3.633 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in phi2 3.633 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 3.633 * [taylor]: Taking taylor expansion of phi2 in phi2 3.633 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 3.633 * [taylor]: Taking taylor expansion of lambda2 in phi2 3.633 * [taylor]: Taking taylor expansion of (neg (+ (* 1/2 (* (cos lambda1) (cos lambda2))) (* 1/2 (* (sin lambda1) (sin lambda2))))) in lambda1 3.633 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (cos lambda1) (cos lambda2))) (* 1/2 (* (sin lambda1) (sin lambda2)))) in lambda1 3.633 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos lambda1) (cos lambda2))) in lambda1 3.634 * [taylor]: Taking taylor expansion of 1/2 in lambda1 3.634 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 3.634 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 3.634 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.634 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 3.634 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.634 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (sin lambda2))) in lambda1 3.634 * [taylor]: Taking taylor expansion of 1/2 in lambda1 3.634 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 3.634 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 3.634 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.634 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 3.634 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.634 * [taylor]: Taking taylor expansion of (neg (* 1/2 (cos lambda2))) in lambda2 3.634 * [taylor]: Taking taylor expansion of (* 1/2 (cos lambda2)) in lambda2 3.634 * [taylor]: Taking taylor expansion of 1/2 in lambda2 3.634 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 3.634 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.634 * [taylor]: Taking taylor expansion of 0 in lambda1 3.634 * [taylor]: Taking taylor expansion of 0 in lambda2 3.635 * [taylor]: Taking taylor expansion of (neg (+ (* 1/2 (* (cos lambda1) (cos lambda2))) (* 1/2 (* (sin lambda1) (sin lambda2))))) in lambda1 3.635 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (cos lambda1) (cos lambda2))) (* 1/2 (* (sin lambda1) (sin lambda2)))) in lambda1 3.635 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos lambda1) (cos lambda2))) in lambda1 3.635 * [taylor]: Taking taylor expansion of 1/2 in lambda1 3.635 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 3.635 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 3.635 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.635 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 3.635 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.635 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (sin lambda2))) in lambda1 3.635 * [taylor]: Taking taylor expansion of 1/2 in lambda1 3.635 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 3.636 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 3.636 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.636 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 3.636 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.636 * [taylor]: Taking taylor expansion of (neg (* 1/2 (cos lambda2))) in lambda2 3.636 * [taylor]: Taking taylor expansion of (* 1/2 (cos lambda2)) in lambda2 3.636 * [taylor]: Taking taylor expansion of 1/2 in lambda2 3.636 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 3.636 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.636 * [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 3.636 * [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 3.636 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 3.636 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 3.636 * [taylor]: Taking taylor expansion of phi2 in lambda2 3.637 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in lambda2 3.637 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 3.637 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 3.637 * [taylor]: Taking taylor expansion of phi1 in lambda2 3.637 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda2 3.637 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 3.637 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 3.637 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 3.637 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.637 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 3.637 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 3.637 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.637 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda2 3.637 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda2 3.637 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 3.637 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.637 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda2 3.637 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 3.637 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.637 * [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 3.637 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 3.637 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 3.637 * [taylor]: Taking taylor expansion of phi2 in lambda1 3.637 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in lambda1 3.637 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 3.637 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 3.637 * [taylor]: Taking taylor expansion of phi1 in lambda1 3.637 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda1 3.637 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 3.637 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 3.637 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 3.637 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.637 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 3.637 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 3.637 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.638 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda1 3.638 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda1 3.638 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 3.638 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.638 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda1 3.638 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 3.638 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.638 * [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 3.638 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 3.638 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 3.638 * [taylor]: Taking taylor expansion of phi2 in phi2 3.638 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in phi2 3.638 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 3.638 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 3.638 * [taylor]: Taking taylor expansion of phi1 in phi2 3.638 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi2 3.638 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in phi2 3.638 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi2 3.638 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 3.638 * [taylor]: Taking taylor expansion of lambda1 in phi2 3.638 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi2 3.638 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 3.638 * [taylor]: Taking taylor expansion of lambda2 in phi2 3.638 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi2 3.638 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi2 3.638 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 3.638 * [taylor]: Taking taylor expansion of lambda2 in phi2 3.638 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi2 3.638 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 3.638 * [taylor]: Taking taylor expansion of lambda1 in phi2 3.638 * [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 3.638 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 3.638 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 3.638 * [taylor]: Taking taylor expansion of phi2 in phi1 3.639 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in phi1 3.639 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 3.639 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 3.639 * [taylor]: Taking taylor expansion of phi1 in phi1 3.639 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi1 3.639 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in phi1 3.639 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi1 3.639 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 3.639 * [taylor]: Taking taylor expansion of lambda1 in phi1 3.639 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi1 3.639 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 3.639 * [taylor]: Taking taylor expansion of lambda2 in phi1 3.639 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi1 3.639 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi1 3.639 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 3.639 * [taylor]: Taking taylor expansion of lambda2 in phi1 3.639 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi1 3.639 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 3.639 * [taylor]: Taking taylor expansion of lambda1 in phi1 3.639 * [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 3.639 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 3.639 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 3.639 * [taylor]: Taking taylor expansion of phi2 in phi1 3.639 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in phi1 3.639 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 3.639 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 3.639 * [taylor]: Taking taylor expansion of phi1 in phi1 3.639 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi1 3.639 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in phi1 3.639 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi1 3.639 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 3.639 * [taylor]: Taking taylor expansion of lambda1 in phi1 3.639 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi1 3.639 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 3.639 * [taylor]: Taking taylor expansion of lambda2 in phi1 3.640 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi1 3.640 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi1 3.640 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 3.640 * [taylor]: Taking taylor expansion of lambda2 in phi1 3.640 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi1 3.640 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 3.640 * [taylor]: Taking taylor expansion of lambda1 in phi1 3.641 * [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 3.641 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 3.641 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 3.641 * [taylor]: Taking taylor expansion of phi2 in phi2 3.641 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in phi2 3.641 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 3.641 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 3.641 * [taylor]: Taking taylor expansion of phi1 in phi2 3.641 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi2 3.641 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in phi2 3.641 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi2 3.641 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 3.641 * [taylor]: Taking taylor expansion of lambda1 in phi2 3.641 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi2 3.641 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 3.641 * [taylor]: Taking taylor expansion of lambda2 in phi2 3.641 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi2 3.641 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi2 3.641 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 3.641 * [taylor]: Taking taylor expansion of lambda2 in phi2 3.641 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi2 3.641 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 3.641 * [taylor]: Taking taylor expansion of lambda1 in phi2 3.642 * [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 3.642 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 3.642 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 3.642 * [taylor]: Taking taylor expansion of phi2 in lambda1 3.642 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in lambda1 3.642 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 3.642 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 3.642 * [taylor]: Taking taylor expansion of phi1 in lambda1 3.642 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda1 3.642 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 3.642 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 3.642 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 3.643 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.643 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 3.643 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 3.643 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.643 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda1 3.643 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda1 3.643 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 3.643 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.643 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda1 3.643 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 3.643 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.644 * [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 3.644 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 3.644 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 3.644 * [taylor]: Taking taylor expansion of phi2 in lambda2 3.644 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in lambda2 3.644 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 3.644 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 3.644 * [taylor]: Taking taylor expansion of phi1 in lambda2 3.644 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda2 3.644 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 3.644 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 3.644 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 3.644 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.644 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 3.644 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 3.644 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.644 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda2 3.644 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda2 3.644 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 3.644 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.644 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda2 3.644 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 3.644 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.647 * [taylor]: Taking taylor expansion of 0 in phi2 3.647 * [taylor]: Taking taylor expansion of 0 in lambda1 3.647 * [taylor]: Taking taylor expansion of 0 in lambda2 3.648 * [taylor]: Taking taylor expansion of 0 in lambda1 3.648 * [taylor]: Taking taylor expansion of 0 in lambda2 3.651 * [taylor]: Taking taylor expansion of 0 in lambda2 3.654 * [taylor]: Taking taylor expansion of 0 in phi2 3.654 * [taylor]: Taking taylor expansion of 0 in lambda1 3.654 * [taylor]: Taking taylor expansion of 0 in lambda2 3.654 * [taylor]: Taking taylor expansion of 0 in lambda1 3.654 * [taylor]: Taking taylor expansion of 0 in lambda2 3.655 * [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 3.655 * [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 3.655 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 3.655 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 3.655 * [taylor]: Taking taylor expansion of -1 in lambda2 3.655 * [taylor]: Taking taylor expansion of phi1 in lambda2 3.655 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in lambda2 3.655 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 3.655 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 3.655 * [taylor]: Taking taylor expansion of -1 in lambda2 3.655 * [taylor]: Taking taylor expansion of phi2 in lambda2 3.655 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in lambda2 3.655 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda2 3.655 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda2 3.655 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 3.655 * [taylor]: Taking taylor expansion of -1 in lambda2 3.655 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.655 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda2 3.655 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 3.655 * [taylor]: Taking taylor expansion of -1 in lambda2 3.655 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.655 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 3.655 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 3.655 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 3.655 * [taylor]: Taking taylor expansion of -1 in lambda2 3.655 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.655 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 3.655 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 3.655 * [taylor]: Taking taylor expansion of -1 in lambda2 3.655 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.655 * [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 3.655 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 3.655 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 3.655 * [taylor]: Taking taylor expansion of -1 in lambda1 3.655 * [taylor]: Taking taylor expansion of phi1 in lambda1 3.655 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in lambda1 3.656 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 3.656 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 3.656 * [taylor]: Taking taylor expansion of -1 in lambda1 3.656 * [taylor]: Taking taylor expansion of phi2 in lambda1 3.656 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in lambda1 3.656 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda1 3.656 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda1 3.656 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 3.656 * [taylor]: Taking taylor expansion of -1 in lambda1 3.656 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.656 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda1 3.656 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 3.656 * [taylor]: Taking taylor expansion of -1 in lambda1 3.656 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.656 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 3.656 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 3.656 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 3.656 * [taylor]: Taking taylor expansion of -1 in lambda1 3.656 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.656 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 3.656 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 3.656 * [taylor]: Taking taylor expansion of -1 in lambda1 3.656 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.656 * [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 3.656 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 3.656 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 3.656 * [taylor]: Taking taylor expansion of -1 in phi2 3.656 * [taylor]: Taking taylor expansion of phi1 in phi2 3.656 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in phi2 3.656 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 3.656 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 3.656 * [taylor]: Taking taylor expansion of -1 in phi2 3.656 * [taylor]: Taking taylor expansion of phi2 in phi2 3.656 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in phi2 3.656 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi2 3.656 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi2 3.656 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 3.656 * [taylor]: Taking taylor expansion of -1 in phi2 3.656 * [taylor]: Taking taylor expansion of lambda1 in phi2 3.657 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi2 3.657 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 3.657 * [taylor]: Taking taylor expansion of -1 in phi2 3.657 * [taylor]: Taking taylor expansion of lambda2 in phi2 3.657 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in phi2 3.657 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi2 3.657 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 3.657 * [taylor]: Taking taylor expansion of -1 in phi2 3.657 * [taylor]: Taking taylor expansion of lambda1 in phi2 3.657 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi2 3.657 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 3.657 * [taylor]: Taking taylor expansion of -1 in phi2 3.657 * [taylor]: Taking taylor expansion of lambda2 in phi2 3.657 * [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 3.657 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 3.657 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 3.657 * [taylor]: Taking taylor expansion of -1 in phi1 3.657 * [taylor]: Taking taylor expansion of phi1 in phi1 3.657 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in phi1 3.657 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 3.657 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 3.657 * [taylor]: Taking taylor expansion of -1 in phi1 3.657 * [taylor]: Taking taylor expansion of phi2 in phi1 3.657 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in phi1 3.657 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi1 3.657 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi1 3.657 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 3.657 * [taylor]: Taking taylor expansion of -1 in phi1 3.657 * [taylor]: Taking taylor expansion of lambda1 in phi1 3.657 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi1 3.657 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 3.657 * [taylor]: Taking taylor expansion of -1 in phi1 3.657 * [taylor]: Taking taylor expansion of lambda2 in phi1 3.657 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in phi1 3.657 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi1 3.657 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 3.657 * [taylor]: Taking taylor expansion of -1 in phi1 3.657 * [taylor]: Taking taylor expansion of lambda1 in phi1 3.658 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi1 3.658 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 3.658 * [taylor]: Taking taylor expansion of -1 in phi1 3.658 * [taylor]: Taking taylor expansion of lambda2 in phi1 3.658 * [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 3.658 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 3.658 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 3.658 * [taylor]: Taking taylor expansion of -1 in phi1 3.658 * [taylor]: Taking taylor expansion of phi1 in phi1 3.658 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in phi1 3.658 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 3.658 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 3.658 * [taylor]: Taking taylor expansion of -1 in phi1 3.658 * [taylor]: Taking taylor expansion of phi2 in phi1 3.658 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in phi1 3.658 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi1 3.658 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi1 3.658 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 3.658 * [taylor]: Taking taylor expansion of -1 in phi1 3.658 * [taylor]: Taking taylor expansion of lambda1 in phi1 3.658 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi1 3.658 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 3.658 * [taylor]: Taking taylor expansion of -1 in phi1 3.658 * [taylor]: Taking taylor expansion of lambda2 in phi1 3.658 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in phi1 3.658 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi1 3.658 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 3.658 * [taylor]: Taking taylor expansion of -1 in phi1 3.658 * [taylor]: Taking taylor expansion of lambda1 in phi1 3.658 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi1 3.658 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 3.658 * [taylor]: Taking taylor expansion of -1 in phi1 3.658 * [taylor]: Taking taylor expansion of lambda2 in phi1 3.659 * [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 3.659 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 3.659 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 3.659 * [taylor]: Taking taylor expansion of -1 in phi2 3.659 * [taylor]: Taking taylor expansion of phi1 in phi2 3.660 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in phi2 3.660 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 3.660 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 3.660 * [taylor]: Taking taylor expansion of -1 in phi2 3.660 * [taylor]: Taking taylor expansion of phi2 in phi2 3.660 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in phi2 3.660 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi2 3.660 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi2 3.660 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 3.660 * [taylor]: Taking taylor expansion of -1 in phi2 3.660 * [taylor]: Taking taylor expansion of lambda1 in phi2 3.660 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi2 3.660 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 3.660 * [taylor]: Taking taylor expansion of -1 in phi2 3.660 * [taylor]: Taking taylor expansion of lambda2 in phi2 3.660 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in phi2 3.660 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi2 3.660 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 3.660 * [taylor]: Taking taylor expansion of -1 in phi2 3.660 * [taylor]: Taking taylor expansion of lambda1 in phi2 3.660 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi2 3.660 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 3.660 * [taylor]: Taking taylor expansion of -1 in phi2 3.660 * [taylor]: Taking taylor expansion of lambda2 in phi2 3.661 * [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 3.661 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 3.661 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 3.661 * [taylor]: Taking taylor expansion of -1 in lambda1 3.661 * [taylor]: Taking taylor expansion of phi1 in lambda1 3.661 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in lambda1 3.661 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 3.661 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 3.661 * [taylor]: Taking taylor expansion of -1 in lambda1 3.661 * [taylor]: Taking taylor expansion of phi2 in lambda1 3.661 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in lambda1 3.661 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda1 3.661 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda1 3.661 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 3.661 * [taylor]: Taking taylor expansion of -1 in lambda1 3.661 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.661 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda1 3.661 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 3.661 * [taylor]: Taking taylor expansion of -1 in lambda1 3.662 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.662 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 3.662 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 3.662 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 3.662 * [taylor]: Taking taylor expansion of -1 in lambda1 3.662 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.662 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 3.662 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 3.662 * [taylor]: Taking taylor expansion of -1 in lambda1 3.662 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.663 * [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 3.663 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 3.663 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 3.663 * [taylor]: Taking taylor expansion of -1 in lambda2 3.663 * [taylor]: Taking taylor expansion of phi1 in lambda2 3.663 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in lambda2 3.663 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 3.663 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 3.663 * [taylor]: Taking taylor expansion of -1 in lambda2 3.663 * [taylor]: Taking taylor expansion of phi2 in lambda2 3.663 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in lambda2 3.663 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda2 3.663 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda2 3.663 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 3.663 * [taylor]: Taking taylor expansion of -1 in lambda2 3.663 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.663 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda2 3.663 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 3.663 * [taylor]: Taking taylor expansion of -1 in lambda2 3.663 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.663 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 3.663 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 3.663 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 3.663 * [taylor]: Taking taylor expansion of -1 in lambda2 3.663 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.663 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 3.663 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 3.663 * [taylor]: Taking taylor expansion of -1 in lambda2 3.663 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.666 * [taylor]: Taking taylor expansion of 0 in phi2 3.666 * [taylor]: Taking taylor expansion of 0 in lambda1 3.666 * [taylor]: Taking taylor expansion of 0 in lambda2 3.667 * [taylor]: Taking taylor expansion of 0 in lambda1 3.667 * [taylor]: Taking taylor expansion of 0 in lambda2 3.668 * [taylor]: Taking taylor expansion of 0 in lambda2 3.671 * [taylor]: Taking taylor expansion of 0 in phi2 3.671 * [taylor]: Taking taylor expansion of 0 in lambda1 3.671 * [taylor]: Taking taylor expansion of 0 in lambda2 3.671 * [taylor]: Taking taylor expansion of 0 in lambda1 3.671 * [taylor]: Taking taylor expansion of 0 in lambda2 3.672 * * * [progress]: simplifying candidates 3.673 * [simplify]: Simplifying using # : (/ 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))))) 3.700 * * [simplify]: iteration 0 : 5074 enodes (cost 1677 ) 3.705 * [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)) (pow (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))) (pow (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) (* (sin phi2) (cbrt (sin phi1))) (* (sin phi2) (sqrt (sin phi1))) (* (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)))))) (pow (pow (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)))))) (* 2 (* (+ (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (+ (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))) (* 2 (+ (* (cos lambda1) (* (cos lambda2) (* (cos lambda1) (cos lambda2)))) (* (sin lambda1) (* (sin lambda2) (- (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (+ (cos (- phi1 phi2)) (cos (+ phi1 phi2))))) (* 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) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* 2 (* (* (cos phi1) (cos phi2)) (+ (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 lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (+ (cos (- phi1 phi2)) (cos (+ phi1 phi2)))) (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) (* phi1 phi2) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (- 1 (* 1/2 (+ (* phi1 phi1) (* phi2 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))))) 3.705 * * * [progress]: adding candidates to table 3.809 * * [progress]: iteration 3 / 4 3.809 * * * [progress]: picking best candidate 3.901 * * * * [pick]: Picked # 3.901 * * * [progress]: localizing error 3.938 * * * [progress]: generating rewritten candidates 3.938 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 3.940 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 3.943 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 3.947 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 2 2) 3.953 * * * [progress]: generating series expansions 3.953 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 3.953 * [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 3.953 * [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 3.954 * [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 3.954 * [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 3.954 * [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 3.954 * [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 3.955 * [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 3.955 * [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 3.955 * [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 3.956 * [taylor]: Taking taylor expansion of 0 in phi2 3.956 * [taylor]: Taking taylor expansion of 0 in lambda1 3.956 * [taylor]: Taking taylor expansion of 0 in lambda2 3.956 * [taylor]: Taking taylor expansion of 0 in lambda1 3.956 * [taylor]: Taking taylor expansion of 0 in lambda2 3.956 * [taylor]: Taking taylor expansion of 0 in lambda2 3.956 * [taylor]: Taking taylor expansion of 0 in phi2 3.956 * [taylor]: Taking taylor expansion of 0 in lambda1 3.956 * [taylor]: Taking taylor expansion of 0 in lambda2 3.956 * [taylor]: Taking taylor expansion of 0 in lambda1 3.956 * [taylor]: Taking taylor expansion of 0 in lambda2 3.957 * [approximate]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 3.957 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda2 3.957 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda1 3.958 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi2 3.958 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi1 3.958 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi1 3.959 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi2 3.959 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda1 3.959 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda2 3.960 * [taylor]: Taking taylor expansion of 0 in phi2 3.960 * [taylor]: Taking taylor expansion of 0 in lambda1 3.960 * [taylor]: Taking taylor expansion of 0 in lambda2 3.960 * [taylor]: Taking taylor expansion of 0 in lambda1 3.960 * [taylor]: Taking taylor expansion of 0 in lambda2 3.960 * [taylor]: Taking taylor expansion of 0 in lambda2 3.960 * [taylor]: Taking taylor expansion of 0 in phi2 3.960 * [taylor]: Taking taylor expansion of 0 in lambda1 3.960 * [taylor]: Taking taylor expansion of 0 in lambda2 3.960 * [taylor]: Taking taylor expansion of 0 in lambda1 3.960 * [taylor]: Taking taylor expansion of 0 in lambda2 3.962 * [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 3.962 * [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 3.962 * [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 3.962 * [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 3.963 * [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 3.963 * [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 3.963 * [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 3.964 * [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 3.964 * [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 3.965 * [taylor]: Taking taylor expansion of 0 in phi2 3.965 * [taylor]: Taking taylor expansion of 0 in lambda1 3.965 * [taylor]: Taking taylor expansion of 0 in lambda2 3.965 * [taylor]: Taking taylor expansion of 0 in lambda1 3.965 * [taylor]: Taking taylor expansion of 0 in lambda2 3.965 * [taylor]: Taking taylor expansion of 0 in lambda2 3.965 * [taylor]: Taking taylor expansion of 0 in phi2 3.965 * [taylor]: Taking taylor expansion of 0 in lambda1 3.965 * [taylor]: Taking taylor expansion of 0 in lambda2 3.965 * [taylor]: Taking taylor expansion of 0 in lambda1 3.965 * [taylor]: Taking taylor expansion of 0 in lambda2 3.966 * * * * [progress]: [ 2 / 4 ] generating series at (2) 3.966 * [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 3.966 * [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 3.966 * [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 3.966 * [taylor]: Taking taylor expansion of R in R 3.966 * [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 3.966 * [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 3.967 * [taylor]: Taking taylor expansion of R in lambda2 3.967 * [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 3.967 * [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 3.967 * [taylor]: Taking taylor expansion of R in lambda1 3.967 * [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 3.967 * [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 3.967 * [taylor]: Taking taylor expansion of R in phi2 3.967 * [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 3.967 * [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 3.968 * [taylor]: Taking taylor expansion of R in phi1 3.968 * [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 3.968 * [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 3.968 * [taylor]: Taking taylor expansion of R in phi1 3.968 * [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 3.968 * [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 3.968 * [taylor]: Taking taylor expansion of R in phi2 3.969 * [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 3.969 * [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 3.969 * [taylor]: Taking taylor expansion of R in lambda1 3.969 * [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 3.969 * [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 3.970 * [taylor]: Taking taylor expansion of R in lambda2 3.970 * [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 3.970 * [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 3.970 * [taylor]: Taking taylor expansion of R in R 3.971 * [taylor]: Taking taylor expansion of 0 in phi2 3.971 * [taylor]: Taking taylor expansion of 0 in lambda1 3.971 * [taylor]: Taking taylor expansion of 0 in lambda2 3.971 * [taylor]: Taking taylor expansion of 0 in R 3.971 * [taylor]: Taking taylor expansion of 0 in lambda1 3.971 * [taylor]: Taking taylor expansion of 0 in lambda2 3.971 * [taylor]: Taking taylor expansion of 0 in R 3.971 * [taylor]: Taking taylor expansion of 0 in lambda2 3.971 * [taylor]: Taking taylor expansion of 0 in R 3.972 * [taylor]: Taking taylor expansion of 0 in R 3.973 * [taylor]: Taking taylor expansion of 0 in phi2 3.973 * [taylor]: Taking taylor expansion of 0 in lambda1 3.973 * [taylor]: Taking taylor expansion of 0 in lambda2 3.973 * [taylor]: Taking taylor expansion of 0 in R 3.973 * [taylor]: Taking taylor expansion of 0 in lambda1 3.973 * [taylor]: Taking taylor expansion of 0 in lambda2 3.973 * [taylor]: Taking taylor expansion of 0 in R 3.973 * [taylor]: Taking taylor expansion of 0 in lambda1 3.973 * [taylor]: Taking taylor expansion of 0 in lambda2 3.973 * [taylor]: Taking taylor expansion of 0 in R 3.973 * [taylor]: Taking taylor expansion of 0 in lambda2 3.973 * [taylor]: Taking taylor expansion of 0 in R 3.973 * [taylor]: Taking taylor expansion of 0 in lambda2 3.973 * [taylor]: Taking taylor expansion of 0 in R 3.973 * [taylor]: Taking taylor expansion of 0 in lambda2 3.973 * [taylor]: Taking taylor expansion of 0 in R 3.974 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 3.974 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in R 3.974 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in R 3.975 * [taylor]: Taking taylor expansion of R in R 3.975 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in lambda2 3.975 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda2 3.975 * [taylor]: Taking taylor expansion of R in lambda2 3.976 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in lambda1 3.976 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda1 3.976 * [taylor]: Taking taylor expansion of R in lambda1 3.977 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in phi2 3.977 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi2 3.977 * [taylor]: Taking taylor expansion of R in phi2 3.977 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in phi1 3.977 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi1 3.978 * [taylor]: Taking taylor expansion of R in phi1 3.978 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in phi1 3.978 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi1 3.978 * [taylor]: Taking taylor expansion of R in phi1 3.979 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in phi2 3.979 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi2 3.979 * [taylor]: Taking taylor expansion of R in phi2 3.980 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in lambda1 3.980 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda1 3.980 * [taylor]: Taking taylor expansion of R in lambda1 3.980 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in lambda2 3.980 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda2 3.981 * [taylor]: Taking taylor expansion of R in lambda2 3.981 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in R 3.981 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in R 3.981 * [taylor]: Taking taylor expansion of R in R 3.983 * [taylor]: Taking taylor expansion of 0 in phi2 3.983 * [taylor]: Taking taylor expansion of 0 in lambda1 3.983 * [taylor]: Taking taylor expansion of 0 in lambda2 3.983 * [taylor]: Taking taylor expansion of 0 in R 3.983 * [taylor]: Taking taylor expansion of 0 in lambda1 3.983 * [taylor]: Taking taylor expansion of 0 in lambda2 3.983 * [taylor]: Taking taylor expansion of 0 in R 3.984 * [taylor]: Taking taylor expansion of 0 in lambda2 3.984 * [taylor]: Taking taylor expansion of 0 in R 3.984 * [taylor]: Taking taylor expansion of 0 in R 3.985 * [taylor]: Taking taylor expansion of 0 in phi2 3.985 * [taylor]: Taking taylor expansion of 0 in lambda1 3.985 * [taylor]: Taking taylor expansion of 0 in lambda2 3.985 * [taylor]: Taking taylor expansion of 0 in R 3.985 * [taylor]: Taking taylor expansion of 0 in lambda1 3.985 * [taylor]: Taking taylor expansion of 0 in lambda2 3.985 * [taylor]: Taking taylor expansion of 0 in R 3.985 * [taylor]: Taking taylor expansion of 0 in lambda1 3.985 * [taylor]: Taking taylor expansion of 0 in lambda2 3.985 * [taylor]: Taking taylor expansion of 0 in R 3.985 * [taylor]: Taking taylor expansion of 0 in lambda2 3.985 * [taylor]: Taking taylor expansion of 0 in R 3.985 * [taylor]: Taking taylor expansion of 0 in lambda2 3.985 * [taylor]: Taking taylor expansion of 0 in R 3.986 * [taylor]: Taking taylor expansion of 0 in lambda2 3.986 * [taylor]: Taking taylor expansion of 0 in R 3.986 * [taylor]: Taking taylor expansion of 0 in R 3.986 * [taylor]: Taking taylor expansion of 0 in R 3.986 * [taylor]: Taking taylor expansion of 0 in R 3.986 * [taylor]: Taking taylor expansion of 0 in R 3.988 * [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 3.988 * [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 3.988 * [taylor]: Taking taylor expansion of -1 in R 3.988 * [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 3.988 * [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 3.988 * [taylor]: Taking taylor expansion of R in R 3.989 * [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 3.989 * [taylor]: Taking taylor expansion of -1 in lambda2 3.989 * [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 3.989 * [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 3.989 * [taylor]: Taking taylor expansion of R in lambda2 3.989 * [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 3.990 * [taylor]: Taking taylor expansion of -1 in lambda1 3.990 * [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 3.990 * [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 3.990 * [taylor]: Taking taylor expansion of R in lambda1 3.990 * [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 3.990 * [taylor]: Taking taylor expansion of -1 in phi2 3.990 * [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 3.990 * [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 3.991 * [taylor]: Taking taylor expansion of R in phi2 3.991 * [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 3.991 * [taylor]: Taking taylor expansion of -1 in phi1 3.991 * [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 3.991 * [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 3.991 * [taylor]: Taking taylor expansion of R in phi1 3.992 * [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 3.992 * [taylor]: Taking taylor expansion of -1 in phi1 3.992 * [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 3.992 * [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 3.992 * [taylor]: Taking taylor expansion of R in phi1 3.993 * [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 3.993 * [taylor]: Taking taylor expansion of -1 in phi2 3.993 * [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 3.993 * [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 3.993 * [taylor]: Taking taylor expansion of R in phi2 3.994 * [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 3.994 * [taylor]: Taking taylor expansion of -1 in lambda1 3.994 * [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 3.994 * [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 3.995 * [taylor]: Taking taylor expansion of R in lambda1 3.995 * [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 3.995 * [taylor]: Taking taylor expansion of -1 in lambda2 3.995 * [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 3.995 * [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 3.996 * [taylor]: Taking taylor expansion of R in lambda2 3.996 * [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 3.996 * [taylor]: Taking taylor expansion of -1 in R 3.996 * [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 3.996 * [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 3.997 * [taylor]: Taking taylor expansion of R in R 3.999 * [taylor]: Taking taylor expansion of 0 in phi2 3.999 * [taylor]: Taking taylor expansion of 0 in lambda1 3.999 * [taylor]: Taking taylor expansion of 0 in lambda2 3.999 * [taylor]: Taking taylor expansion of 0 in R 4.000 * [taylor]: Taking taylor expansion of 0 in lambda1 4.000 * [taylor]: Taking taylor expansion of 0 in lambda2 4.000 * [taylor]: Taking taylor expansion of 0 in R 4.000 * [taylor]: Taking taylor expansion of 0 in lambda2 4.000 * [taylor]: Taking taylor expansion of 0 in R 4.001 * [taylor]: Taking taylor expansion of 0 in R 4.003 * [taylor]: Taking taylor expansion of 0 in phi2 4.003 * [taylor]: Taking taylor expansion of 0 in lambda1 4.003 * [taylor]: Taking taylor expansion of 0 in lambda2 4.003 * [taylor]: Taking taylor expansion of 0 in R 4.003 * [taylor]: Taking taylor expansion of 0 in lambda1 4.003 * [taylor]: Taking taylor expansion of 0 in lambda2 4.003 * [taylor]: Taking taylor expansion of 0 in R 4.003 * [taylor]: Taking taylor expansion of 0 in lambda1 4.004 * [taylor]: Taking taylor expansion of 0 in lambda2 4.004 * [taylor]: Taking taylor expansion of 0 in R 4.004 * [taylor]: Taking taylor expansion of 0 in lambda2 4.004 * [taylor]: Taking taylor expansion of 0 in R 4.004 * [taylor]: Taking taylor expansion of 0 in lambda2 4.004 * [taylor]: Taking taylor expansion of 0 in R 4.004 * [taylor]: Taking taylor expansion of 0 in lambda2 4.004 * [taylor]: Taking taylor expansion of 0 in R 4.004 * [taylor]: Taking taylor expansion of 0 in R 4.004 * [taylor]: Taking taylor expansion of 0 in R 4.004 * [taylor]: Taking taylor expansion of 0 in R 4.005 * [taylor]: Taking taylor expansion of 0 in R 4.009 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 4.009 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 4.009 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 4.009 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 4.009 * [taylor]: Taking taylor expansion of phi1 in phi2 4.009 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 4.009 * [taylor]: Taking taylor expansion of phi2 in phi2 4.009 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 4.009 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 4.009 * [taylor]: Taking taylor expansion of phi1 in phi1 4.009 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 4.009 * [taylor]: Taking taylor expansion of phi2 in phi1 4.009 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 4.009 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 4.009 * [taylor]: Taking taylor expansion of phi1 in phi1 4.009 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 4.009 * [taylor]: Taking taylor expansion of phi2 in phi1 4.010 * [taylor]: Taking taylor expansion of 0 in phi2 4.010 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 4.010 * [taylor]: Taking taylor expansion of phi2 in phi2 4.010 * [taylor]: Taking taylor expansion of 0 in phi2 4.011 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin phi2))) in phi2 4.011 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 4.011 * [taylor]: Taking taylor expansion of 1/6 in phi2 4.011 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 4.011 * [taylor]: Taking taylor expansion of phi2 in phi2 4.012 * [taylor]: Taking taylor expansion of 0 in phi2 4.012 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 4.012 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 4.012 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 4.012 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 4.012 * [taylor]: Taking taylor expansion of phi1 in phi2 4.012 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 4.012 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 4.012 * [taylor]: Taking taylor expansion of phi2 in phi2 4.012 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 4.012 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 4.012 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 4.012 * [taylor]: Taking taylor expansion of phi1 in phi1 4.012 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 4.012 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 4.012 * [taylor]: Taking taylor expansion of phi2 in phi1 4.012 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 4.013 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 4.013 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 4.013 * [taylor]: Taking taylor expansion of phi1 in phi1 4.013 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 4.013 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 4.013 * [taylor]: Taking taylor expansion of phi2 in phi1 4.013 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 4.013 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 4.013 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 4.013 * [taylor]: Taking taylor expansion of phi1 in phi2 4.013 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 4.013 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 4.013 * [taylor]: Taking taylor expansion of phi2 in phi2 4.013 * [taylor]: Taking taylor expansion of 0 in phi2 4.014 * [taylor]: Taking taylor expansion of 0 in phi2 4.015 * [taylor]: Taking taylor expansion of 0 in phi2 4.015 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 4.015 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 4.015 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 4.015 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 4.015 * [taylor]: Taking taylor expansion of -1 in phi2 4.015 * [taylor]: Taking taylor expansion of phi1 in phi2 4.015 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 4.015 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 4.015 * [taylor]: Taking taylor expansion of -1 in phi2 4.015 * [taylor]: Taking taylor expansion of phi2 in phi2 4.015 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 4.015 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 4.015 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 4.015 * [taylor]: Taking taylor expansion of -1 in phi1 4.015 * [taylor]: Taking taylor expansion of phi1 in phi1 4.015 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 4.015 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 4.015 * [taylor]: Taking taylor expansion of -1 in phi1 4.015 * [taylor]: Taking taylor expansion of phi2 in phi1 4.016 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 4.016 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 4.016 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 4.016 * [taylor]: Taking taylor expansion of -1 in phi1 4.016 * [taylor]: Taking taylor expansion of phi1 in phi1 4.016 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 4.016 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 4.016 * [taylor]: Taking taylor expansion of -1 in phi1 4.016 * [taylor]: Taking taylor expansion of phi2 in phi1 4.016 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 4.016 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 4.016 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 4.016 * [taylor]: Taking taylor expansion of -1 in phi2 4.016 * [taylor]: Taking taylor expansion of phi1 in phi2 4.016 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 4.016 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 4.016 * [taylor]: Taking taylor expansion of -1 in phi2 4.016 * [taylor]: Taking taylor expansion of phi2 in phi2 4.017 * [taylor]: Taking taylor expansion of 0 in phi2 4.017 * [taylor]: Taking taylor expansion of 0 in phi2 4.018 * [taylor]: Taking taylor expansion of 0 in phi2 4.018 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 2 2) 4.018 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 4.018 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 4.018 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 4.018 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.018 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 4.018 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.018 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 4.018 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 4.018 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.018 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 4.018 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.018 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 4.018 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 4.018 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.019 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 4.019 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.019 * [taylor]: Taking taylor expansion of 0 in lambda2 4.019 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 4.019 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.019 * [taylor]: Taking taylor expansion of 0 in lambda2 4.020 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin lambda2))) in lambda2 4.020 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 4.020 * [taylor]: Taking taylor expansion of 1/6 in lambda2 4.020 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 4.020 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.021 * [taylor]: Taking taylor expansion of 0 in lambda2 4.021 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 4.021 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 4.021 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 4.021 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 4.021 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.021 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 4.021 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 4.021 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.021 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 4.021 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 4.021 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 4.021 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.021 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 4.021 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 4.021 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.021 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 4.021 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 4.021 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 4.021 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.021 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 4.021 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 4.021 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.022 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 4.022 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 4.022 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 4.022 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.022 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 4.022 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 4.022 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.022 * [taylor]: Taking taylor expansion of 0 in lambda2 4.023 * [taylor]: Taking taylor expansion of 0 in lambda2 4.024 * [taylor]: Taking taylor expansion of 0 in lambda2 4.024 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 4.024 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 4.024 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 4.024 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 4.024 * [taylor]: Taking taylor expansion of -1 in lambda2 4.024 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.024 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 4.024 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 4.024 * [taylor]: Taking taylor expansion of -1 in lambda2 4.024 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.024 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 4.024 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 4.024 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 4.024 * [taylor]: Taking taylor expansion of -1 in lambda1 4.024 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.024 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 4.024 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 4.024 * [taylor]: Taking taylor expansion of -1 in lambda1 4.024 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.024 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 4.024 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 4.024 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 4.024 * [taylor]: Taking taylor expansion of -1 in lambda1 4.024 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.025 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 4.025 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 4.025 * [taylor]: Taking taylor expansion of -1 in lambda1 4.025 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.025 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 4.025 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 4.025 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 4.025 * [taylor]: Taking taylor expansion of -1 in lambda2 4.025 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.025 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 4.025 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 4.025 * [taylor]: Taking taylor expansion of -1 in lambda2 4.025 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.025 * [taylor]: Taking taylor expansion of 0 in lambda2 4.026 * [taylor]: Taking taylor expansion of 0 in lambda2 4.027 * [taylor]: Taking taylor expansion of 0 in lambda2 4.027 * * * [progress]: simplifying candidates 4.028 * [simplify]: Simplifying using # : (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (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 (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2)) (+ (log (sin lambda1)) (log (sin lambda2))) (log (* (sin lambda1) (sin lambda2))) (exp (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))) (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (* (sin lambda1) (sqrt (sin lambda2))) (* (sin lambda1) 1) (* (cbrt (sin lambda1)) (sin lambda2)) (* (sqrt (sin lambda1)) (sin 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 lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos 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 lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos 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)) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) 4.066 * * [simplify]: iteration 0 : 4919 enodes (cost 1173 ) 4.066 * * [simplify]: iteration 1 : 4919 enodes (cost 1173 ) 4.070 * [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)) (pow (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))) (pow (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) (* (sin phi2) (cbrt (sin phi1))) (* (sin phi2) (sqrt (sin phi1))) (* (sin phi1) (sin phi2)) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2)) (log (* (sin lambda1) (sin lambda2))) (log (* (sin lambda1) (sin lambda2))) (pow (exp (sin lambda1)) (sin lambda2)) (pow (* (sin lambda1) (sin lambda2)) 3) (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (pow (* (sin lambda1) (sin lambda2)) 3) (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (* (sin lambda1) (sqrt (sin lambda2))) (sin lambda1) (* (sin lambda2) (cbrt (sin lambda1))) (* (sin lambda2) (sqrt (sin lambda1))) (* (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) (* phi1 phi2) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (* lambda1 lambda2) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) 4.070 * * * [progress]: adding candidates to table 4.140 * * [progress]: iteration 4 / 4 4.140 * * * [progress]: picking best candidate 4.226 * * * * [pick]: Picked # 4.226 * * * [progress]: localizing error 4.264 * * * [progress]: generating rewritten candidates 4.264 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 4.265 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 4.268 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 4.270 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 4.276 * * * [progress]: generating series expansions 4.276 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 4.277 * [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 4.277 * [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 4.277 * [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 4.277 * [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 4.277 * [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 4.278 * [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 4.278 * [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 4.278 * [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 4.279 * [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 4.279 * [taylor]: Taking taylor expansion of 0 in phi2 4.279 * [taylor]: Taking taylor expansion of 0 in lambda1 4.279 * [taylor]: Taking taylor expansion of 0 in lambda2 4.279 * [taylor]: Taking taylor expansion of 0 in lambda1 4.279 * [taylor]: Taking taylor expansion of 0 in lambda2 4.279 * [taylor]: Taking taylor expansion of 0 in lambda2 4.279 * [taylor]: Taking taylor expansion of 0 in phi2 4.279 * [taylor]: Taking taylor expansion of 0 in lambda1 4.279 * [taylor]: Taking taylor expansion of 0 in lambda2 4.279 * [taylor]: Taking taylor expansion of 0 in lambda1 4.279 * [taylor]: Taking taylor expansion of 0 in lambda2 4.280 * [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 4.280 * [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 4.280 * [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 4.281 * [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 4.281 * [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 4.281 * [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 4.282 * [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 4.282 * [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 4.283 * [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 4.283 * [taylor]: Taking taylor expansion of 0 in phi2 4.283 * [taylor]: Taking taylor expansion of 0 in lambda1 4.283 * [taylor]: Taking taylor expansion of 0 in lambda2 4.283 * [taylor]: Taking taylor expansion of 0 in lambda1 4.283 * [taylor]: Taking taylor expansion of 0 in lambda2 4.283 * [taylor]: Taking taylor expansion of 0 in lambda2 4.283 * [taylor]: Taking taylor expansion of 0 in phi2 4.284 * [taylor]: Taking taylor expansion of 0 in lambda1 4.284 * [taylor]: Taking taylor expansion of 0 in lambda2 4.284 * [taylor]: Taking taylor expansion of 0 in lambda1 4.284 * [taylor]: Taking taylor expansion of 0 in lambda2 4.284 * [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 4.284 * [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 4.285 * [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 4.285 * [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 4.285 * [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 4.286 * [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 4.286 * [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 4.287 * [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 4.287 * [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 4.288 * [taylor]: Taking taylor expansion of 0 in phi2 4.288 * [taylor]: Taking taylor expansion of 0 in lambda1 4.288 * [taylor]: Taking taylor expansion of 0 in lambda2 4.288 * [taylor]: Taking taylor expansion of 0 in lambda1 4.288 * [taylor]: Taking taylor expansion of 0 in lambda2 4.288 * [taylor]: Taking taylor expansion of 0 in lambda2 4.288 * [taylor]: Taking taylor expansion of 0 in phi2 4.288 * [taylor]: Taking taylor expansion of 0 in lambda1 4.288 * [taylor]: Taking taylor expansion of 0 in lambda2 4.288 * [taylor]: Taking taylor expansion of 0 in lambda1 4.288 * [taylor]: Taking taylor expansion of 0 in lambda2 4.289 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 4.289 * [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 4.289 * [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 4.289 * [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 4.290 * [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 4.290 * [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 4.290 * [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 4.290 * [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 4.291 * [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 4.291 * [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 4.291 * [taylor]: Taking taylor expansion of 0 in phi2 4.291 * [taylor]: Taking taylor expansion of 0 in lambda1 4.291 * [taylor]: Taking taylor expansion of 0 in lambda2 4.292 * [taylor]: Taking taylor expansion of 0 in lambda1 4.292 * [taylor]: Taking taylor expansion of 0 in lambda2 4.292 * [taylor]: Taking taylor expansion of 0 in lambda2 4.292 * [taylor]: Taking taylor expansion of 0 in phi2 4.292 * [taylor]: Taking taylor expansion of 0 in lambda1 4.292 * [taylor]: Taking taylor expansion of 0 in lambda2 4.292 * [taylor]: Taking taylor expansion of 0 in lambda1 4.292 * [taylor]: Taking taylor expansion of 0 in lambda2 4.292 * [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 4.292 * [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 4.293 * [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 4.293 * [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 4.293 * [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 4.294 * [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 4.294 * [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 4.295 * [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 4.295 * [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 4.296 * [taylor]: Taking taylor expansion of 0 in phi2 4.296 * [taylor]: Taking taylor expansion of 0 in lambda1 4.296 * [taylor]: Taking taylor expansion of 0 in lambda2 4.296 * [taylor]: Taking taylor expansion of 0 in lambda1 4.296 * [taylor]: Taking taylor expansion of 0 in lambda2 4.296 * [taylor]: Taking taylor expansion of 0 in lambda2 4.296 * [taylor]: Taking taylor expansion of 0 in phi2 4.296 * [taylor]: Taking taylor expansion of 0 in lambda1 4.296 * [taylor]: Taking taylor expansion of 0 in lambda2 4.296 * [taylor]: Taking taylor expansion of 0 in lambda1 4.296 * [taylor]: Taking taylor expansion of 0 in lambda2 4.297 * [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 4.297 * [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 4.297 * [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 4.298 * [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 4.298 * [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 4.298 * [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 4.299 * [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 4.299 * [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 4.299 * [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 4.300 * [taylor]: Taking taylor expansion of 0 in phi2 4.300 * [taylor]: Taking taylor expansion of 0 in lambda1 4.300 * [taylor]: Taking taylor expansion of 0 in lambda2 4.300 * [taylor]: Taking taylor expansion of 0 in lambda1 4.300 * [taylor]: Taking taylor expansion of 0 in lambda2 4.300 * [taylor]: Taking taylor expansion of 0 in lambda2 4.300 * [taylor]: Taking taylor expansion of 0 in phi2 4.300 * [taylor]: Taking taylor expansion of 0 in lambda1 4.300 * [taylor]: Taking taylor expansion of 0 in lambda2 4.300 * [taylor]: Taking taylor expansion of 0 in lambda1 4.300 * [taylor]: Taking taylor expansion of 0 in lambda2 4.301 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 4.301 * [approximate]: Taking taylor expansion of (exp (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 4.301 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2 4.301 * [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 4.302 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1 4.302 * [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 4.303 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2 4.303 * [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 4.303 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1 4.303 * [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 4.304 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1 4.304 * [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 4.304 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2 4.304 * [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 4.305 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1 4.305 * [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 4.305 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2 4.305 * [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 4.307 * [taylor]: Taking taylor expansion of 0 in phi2 4.307 * [taylor]: Taking taylor expansion of 0 in lambda1 4.307 * [taylor]: Taking taylor expansion of 0 in lambda2 4.307 * [taylor]: Taking taylor expansion of 0 in lambda1 4.307 * [taylor]: Taking taylor expansion of 0 in lambda2 4.308 * [taylor]: Taking taylor expansion of 0 in lambda2 4.308 * [taylor]: Taking taylor expansion of 0 in phi2 4.308 * [taylor]: Taking taylor expansion of 0 in lambda1 4.308 * [taylor]: Taking taylor expansion of 0 in lambda2 4.308 * [taylor]: Taking taylor expansion of 0 in lambda1 4.308 * [taylor]: Taking taylor expansion of 0 in lambda2 4.309 * [approximate]: Taking taylor expansion of (exp (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 4.309 * [taylor]: Taking taylor expansion of (exp (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 4.309 * [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 4.310 * [taylor]: Taking taylor expansion of (exp (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 4.310 * [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 4.311 * [taylor]: Taking taylor expansion of (exp (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 4.311 * [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 4.311 * [taylor]: Taking taylor expansion of (exp (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 4.311 * [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 4.312 * [taylor]: Taking taylor expansion of (exp (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 4.312 * [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 4.313 * [taylor]: Taking taylor expansion of (exp (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 4.313 * [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 4.313 * [taylor]: Taking taylor expansion of (exp (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 4.314 * [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 4.314 * [taylor]: Taking taylor expansion of (exp (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 4.314 * [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 4.316 * [taylor]: Taking taylor expansion of 0 in phi2 4.316 * [taylor]: Taking taylor expansion of 0 in lambda1 4.316 * [taylor]: Taking taylor expansion of 0 in lambda2 4.316 * [taylor]: Taking taylor expansion of 0 in lambda1 4.316 * [taylor]: Taking taylor expansion of 0 in lambda2 4.317 * [taylor]: Taking taylor expansion of 0 in lambda2 4.318 * [taylor]: Taking taylor expansion of 0 in phi2 4.318 * [taylor]: Taking taylor expansion of 0 in lambda1 4.318 * [taylor]: Taking taylor expansion of 0 in lambda2 4.318 * [taylor]: Taking taylor expansion of 0 in lambda1 4.318 * [taylor]: Taking taylor expansion of 0 in lambda2 4.319 * [approximate]: Taking taylor expansion of (exp (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 4.319 * [taylor]: Taking taylor expansion of (exp (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 4.319 * [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 4.320 * [taylor]: Taking taylor expansion of (exp (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 4.320 * [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 4.320 * [taylor]: Taking taylor expansion of (exp (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 4.320 * [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 4.321 * [taylor]: Taking taylor expansion of (exp (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 4.321 * [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 4.322 * [taylor]: Taking taylor expansion of (exp (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 4.322 * [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 4.322 * [taylor]: Taking taylor expansion of (exp (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 4.322 * [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 4.323 * [taylor]: Taking taylor expansion of (exp (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 4.323 * [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 4.324 * [taylor]: Taking taylor expansion of (exp (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 4.324 * [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 4.325 * [taylor]: Taking taylor expansion of 0 in phi2 4.325 * [taylor]: Taking taylor expansion of 0 in lambda1 4.325 * [taylor]: Taking taylor expansion of 0 in lambda2 4.326 * [taylor]: Taking taylor expansion of 0 in lambda1 4.326 * [taylor]: Taking taylor expansion of 0 in lambda2 4.326 * [taylor]: Taking taylor expansion of 0 in lambda2 4.330 * [taylor]: Taking taylor expansion of 0 in phi2 4.330 * [taylor]: Taking taylor expansion of 0 in lambda1 4.330 * [taylor]: Taking taylor expansion of 0 in lambda2 4.330 * [taylor]: Taking taylor expansion of 0 in lambda1 4.330 * [taylor]: Taking taylor expansion of 0 in lambda2 4.331 * * * * [progress]: [ 4 / 4 ] generating series at (2) 4.331 * [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 4.331 * [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 4.331 * [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 4.331 * [taylor]: Taking taylor expansion of R in R 4.331 * [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 4.331 * [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 4.332 * [taylor]: Taking taylor expansion of R in lambda2 4.332 * [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 4.332 * [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 4.332 * [taylor]: Taking taylor expansion of R in lambda1 4.332 * [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 4.332 * [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 4.332 * [taylor]: Taking taylor expansion of R in phi2 4.332 * [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 4.332 * [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 4.333 * [taylor]: Taking taylor expansion of R in phi1 4.333 * [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 4.333 * [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 4.333 * [taylor]: Taking taylor expansion of R in phi1 4.333 * [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 4.333 * [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 4.334 * [taylor]: Taking taylor expansion of R in phi2 4.334 * [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 4.334 * [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 4.334 * [taylor]: Taking taylor expansion of R in lambda1 4.334 * [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 4.334 * [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 4.335 * [taylor]: Taking taylor expansion of R in lambda2 4.335 * [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 4.335 * [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 4.335 * [taylor]: Taking taylor expansion of R in R 4.336 * [taylor]: Taking taylor expansion of 0 in phi2 4.336 * [taylor]: Taking taylor expansion of 0 in lambda1 4.336 * [taylor]: Taking taylor expansion of 0 in lambda2 4.336 * [taylor]: Taking taylor expansion of 0 in R 4.336 * [taylor]: Taking taylor expansion of 0 in lambda1 4.336 * [taylor]: Taking taylor expansion of 0 in lambda2 4.336 * [taylor]: Taking taylor expansion of 0 in R 4.336 * [taylor]: Taking taylor expansion of 0 in lambda2 4.336 * [taylor]: Taking taylor expansion of 0 in R 4.337 * [taylor]: Taking taylor expansion of 0 in R 4.338 * [taylor]: Taking taylor expansion of 0 in phi2 4.338 * [taylor]: Taking taylor expansion of 0 in lambda1 4.338 * [taylor]: Taking taylor expansion of 0 in lambda2 4.338 * [taylor]: Taking taylor expansion of 0 in R 4.338 * [taylor]: Taking taylor expansion of 0 in lambda1 4.338 * [taylor]: Taking taylor expansion of 0 in lambda2 4.338 * [taylor]: Taking taylor expansion of 0 in R 4.338 * [taylor]: Taking taylor expansion of 0 in lambda1 4.338 * [taylor]: Taking taylor expansion of 0 in lambda2 4.338 * [taylor]: Taking taylor expansion of 0 in R 4.338 * [taylor]: Taking taylor expansion of 0 in lambda2 4.338 * [taylor]: Taking taylor expansion of 0 in R 4.338 * [taylor]: Taking taylor expansion of 0 in lambda2 4.338 * [taylor]: Taking taylor expansion of 0 in R 4.339 * [taylor]: Taking taylor expansion of 0 in lambda2 4.339 * [taylor]: Taking taylor expansion of 0 in R 4.339 * [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 4.339 * [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 4.339 * [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 4.340 * [taylor]: Taking taylor expansion of R in R 4.340 * [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 4.340 * [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 4.340 * [taylor]: Taking taylor expansion of R in lambda2 4.341 * [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 4.341 * [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 4.341 * [taylor]: Taking taylor expansion of R in lambda1 4.342 * [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 4.342 * [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 4.342 * [taylor]: Taking taylor expansion of R in phi2 4.342 * [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 4.342 * [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 4.343 * [taylor]: Taking taylor expansion of R in phi1 4.343 * [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 4.343 * [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 4.343 * [taylor]: Taking taylor expansion of R in phi1 4.344 * [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 4.344 * [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 4.344 * [taylor]: Taking taylor expansion of R in phi2 4.345 * [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 4.345 * [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 4.345 * [taylor]: Taking taylor expansion of R in lambda1 4.345 * [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 4.345 * [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 4.346 * [taylor]: Taking taylor expansion of R in lambda2 4.346 * [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 4.346 * [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 4.346 * [taylor]: Taking taylor expansion of R in R 4.348 * [taylor]: Taking taylor expansion of 0 in phi2 4.348 * [taylor]: Taking taylor expansion of 0 in lambda1 4.348 * [taylor]: Taking taylor expansion of 0 in lambda2 4.348 * [taylor]: Taking taylor expansion of 0 in R 4.348 * [taylor]: Taking taylor expansion of 0 in lambda1 4.348 * [taylor]: Taking taylor expansion of 0 in lambda2 4.348 * [taylor]: Taking taylor expansion of 0 in R 4.349 * [taylor]: Taking taylor expansion of 0 in lambda2 4.349 * [taylor]: Taking taylor expansion of 0 in R 4.349 * [taylor]: Taking taylor expansion of 0 in R 4.350 * [taylor]: Taking taylor expansion of 0 in phi2 4.350 * [taylor]: Taking taylor expansion of 0 in lambda1 4.350 * [taylor]: Taking taylor expansion of 0 in lambda2 4.350 * [taylor]: Taking taylor expansion of 0 in R 4.350 * [taylor]: Taking taylor expansion of 0 in lambda1 4.350 * [taylor]: Taking taylor expansion of 0 in lambda2 4.350 * [taylor]: Taking taylor expansion of 0 in R 4.350 * [taylor]: Taking taylor expansion of 0 in lambda1 4.350 * [taylor]: Taking taylor expansion of 0 in lambda2 4.350 * [taylor]: Taking taylor expansion of 0 in R 4.350 * [taylor]: Taking taylor expansion of 0 in lambda2 4.350 * [taylor]: Taking taylor expansion of 0 in R 4.350 * [taylor]: Taking taylor expansion of 0 in lambda2 4.350 * [taylor]: Taking taylor expansion of 0 in R 4.351 * [taylor]: Taking taylor expansion of 0 in lambda2 4.351 * [taylor]: Taking taylor expansion of 0 in R 4.351 * [taylor]: Taking taylor expansion of 0 in R 4.351 * [taylor]: Taking taylor expansion of 0 in R 4.351 * [taylor]: Taking taylor expansion of 0 in R 4.351 * [taylor]: Taking taylor expansion of 0 in R 4.353 * [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 4.353 * [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 4.353 * [taylor]: Taking taylor expansion of -1 in R 4.353 * [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 4.353 * [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 4.353 * [taylor]: Taking taylor expansion of R in R 4.354 * [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 4.354 * [taylor]: Taking taylor expansion of -1 in lambda2 4.354 * [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 4.354 * [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 4.354 * [taylor]: Taking taylor expansion of R in lambda2 4.354 * [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 4.354 * [taylor]: Taking taylor expansion of -1 in lambda1 4.354 * [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 4.354 * [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 4.355 * [taylor]: Taking taylor expansion of R in lambda1 4.355 * [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 4.355 * [taylor]: Taking taylor expansion of -1 in phi2 4.355 * [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 4.355 * [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 4.356 * [taylor]: Taking taylor expansion of R in phi2 4.356 * [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 4.356 * [taylor]: Taking taylor expansion of -1 in phi1 4.356 * [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 4.356 * [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 4.356 * [taylor]: Taking taylor expansion of R in phi1 4.357 * [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 4.357 * [taylor]: Taking taylor expansion of -1 in phi1 4.357 * [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 4.357 * [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 4.357 * [taylor]: Taking taylor expansion of R in phi1 4.358 * [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 4.358 * [taylor]: Taking taylor expansion of -1 in phi2 4.358 * [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 4.358 * [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 4.358 * [taylor]: Taking taylor expansion of R in phi2 4.359 * [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 4.359 * [taylor]: Taking taylor expansion of -1 in lambda1 4.359 * [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 4.359 * [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 4.359 * [taylor]: Taking taylor expansion of R in lambda1 4.360 * [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 4.360 * [taylor]: Taking taylor expansion of -1 in lambda2 4.360 * [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 4.360 * [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 4.361 * [taylor]: Taking taylor expansion of R in lambda2 4.361 * [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 4.361 * [taylor]: Taking taylor expansion of -1 in R 4.361 * [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 4.361 * [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 4.362 * [taylor]: Taking taylor expansion of R in R 4.364 * [taylor]: Taking taylor expansion of 0 in phi2 4.364 * [taylor]: Taking taylor expansion of 0 in lambda1 4.364 * [taylor]: Taking taylor expansion of 0 in lambda2 4.364 * [taylor]: Taking taylor expansion of 0 in R 4.364 * [taylor]: Taking taylor expansion of 0 in lambda1 4.365 * [taylor]: Taking taylor expansion of 0 in lambda2 4.365 * [taylor]: Taking taylor expansion of 0 in R 4.365 * [taylor]: Taking taylor expansion of 0 in lambda2 4.365 * [taylor]: Taking taylor expansion of 0 in R 4.366 * [taylor]: Taking taylor expansion of 0 in R 4.368 * [taylor]: Taking taylor expansion of 0 in phi2 4.368 * [taylor]: Taking taylor expansion of 0 in lambda1 4.368 * [taylor]: Taking taylor expansion of 0 in lambda2 4.368 * [taylor]: Taking taylor expansion of 0 in R 4.368 * [taylor]: Taking taylor expansion of 0 in lambda1 4.368 * [taylor]: Taking taylor expansion of 0 in lambda2 4.368 * [taylor]: Taking taylor expansion of 0 in R 4.369 * [taylor]: Taking taylor expansion of 0 in lambda1 4.369 * [taylor]: Taking taylor expansion of 0 in lambda2 4.369 * [taylor]: Taking taylor expansion of 0 in R 4.369 * [taylor]: Taking taylor expansion of 0 in lambda2 4.369 * [taylor]: Taking taylor expansion of 0 in R 4.369 * [taylor]: Taking taylor expansion of 0 in lambda2 4.369 * [taylor]: Taking taylor expansion of 0 in R 4.370 * [taylor]: Taking taylor expansion of 0 in lambda2 4.370 * [taylor]: Taking taylor expansion of 0 in R 4.370 * [taylor]: Taking taylor expansion of 0 in R 4.370 * [taylor]: Taking taylor expansion of 0 in R 4.370 * [taylor]: Taking taylor expansion of 0 in R 4.371 * [taylor]: Taking taylor expansion of 0 in R 4.372 * * * [progress]: simplifying candidates 4.373 * [simplify]: Simplifying using # : (/ 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)))))))) (log (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))) (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (log 1) (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 (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (exp (* (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))))))))))) (log (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (log (exp 1)) (log (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (exp (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* 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(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)) (pow (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 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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))))))) (* (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)))))))) (* (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) R (* (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) (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))))))) (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))))))) (exp (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)))))))) (exp (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) 4.441 * * * [progress]: adding candidates to table 4.508 * [progress]: [Phase 3 of 3] Extracting. 4.508 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # #) 4.528 * * * [regime-changes]: Trying 5 branch expressions: (phi2 phi1 lambda2 lambda1 R) 4.528 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # # # # # # # # #) 4.690 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # # # # # # # # #) 4.853 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # # # # # # # # # #) 5.013 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # # # # # # # # #) 5.176 * * * * [regimes]: Trying to branch on R from (# # # # # # # # # # # # # # # #) 5.338 * * * [regime]: Found split indices: #