9.175 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.236 * * * [progress]: [2/2] Setting up program. 0.247 * [progress]: [Phase 2 of 3] Improving. 0.249 * [simplify]: Simplifying using # : (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.250 * * [simplify]: iteration 0 : 17 enodes (cost 19 ) 0.252 * * [simplify]: iteration 1 : 26 enodes (cost 19 ) 0.254 * * [simplify]: iteration 2 : 33 enodes (cost 19 ) 0.258 * * [simplify]: iteration 3 : 34 enodes (cost 19 ) 0.262 * * [simplify]: iteration done : 34 enodes (cost 19 ) 0.262 * [simplify]: Simplified to: (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.262 * * [progress]: iteration 1 / 4 0.262 * * * [progress]: picking best candidate 0.266 * * * * [pick]: Picked # 0.266 * * * [progress]: localizing error 0.290 * * * [progress]: generating rewritten candidates 0.290 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 0.294 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.295 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.298 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.303 * * * [progress]: generating series expansions 0.303 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 0.303 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 0.303 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 0.303 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 0.303 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.303 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.304 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.304 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.304 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.304 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.304 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.304 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.304 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.304 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.304 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.305 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.305 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.307 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 0.307 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 0.307 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.307 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.310 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 0.310 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 0.310 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.310 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.310 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.310 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.313 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 0.313 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.313 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.313 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.313 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.313 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.313 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.314 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.314 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.314 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.314 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.314 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.314 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.314 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.314 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.314 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.314 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.315 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.315 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.315 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.315 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.315 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.315 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.315 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.315 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.316 * [taylor]: Taking taylor expansion of 0 in lambda2 0.316 * [taylor]: Taking taylor expansion of 0 in lambda2 0.316 * [taylor]: Taking taylor expansion of 0 in lambda2 0.316 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 0.316 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.316 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.316 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.316 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.317 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.317 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.317 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.317 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.317 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.317 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.317 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.317 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.318 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.318 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.318 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.318 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.318 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.318 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.319 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.319 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.319 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.319 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.319 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.319 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.320 * [taylor]: Taking taylor expansion of 0 in lambda2 0.320 * [taylor]: Taking taylor expansion of 0 in lambda2 0.320 * [taylor]: Taking taylor expansion of 0 in lambda2 0.320 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.320 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.320 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.321 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.322 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.322 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.322 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.322 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.322 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.323 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.323 * [taylor]: Taking taylor expansion of 0 in phi2 0.323 * [taylor]: Taking taylor expansion of 0 in lambda1 0.323 * [taylor]: Taking taylor expansion of 0 in lambda2 0.323 * [taylor]: Taking taylor expansion of 0 in lambda1 0.323 * [taylor]: Taking taylor expansion of 0 in lambda2 0.323 * [taylor]: Taking taylor expansion of 0 in lambda2 0.323 * [taylor]: Taking taylor expansion of 0 in phi2 0.323 * [taylor]: Taking taylor expansion of 0 in lambda1 0.323 * [taylor]: Taking taylor expansion of 0 in lambda2 0.323 * [taylor]: Taking taylor expansion of 0 in lambda1 0.323 * [taylor]: Taking taylor expansion of 0 in lambda2 0.324 * [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 0.324 * [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 0.324 * [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 0.324 * [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 0.325 * [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 0.325 * [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 0.329 * [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 0.329 * [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 0.329 * [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 0.330 * [taylor]: Taking taylor expansion of 0 in phi2 0.330 * [taylor]: Taking taylor expansion of 0 in lambda1 0.330 * [taylor]: Taking taylor expansion of 0 in lambda2 0.330 * [taylor]: Taking taylor expansion of 0 in lambda1 0.330 * [taylor]: Taking taylor expansion of 0 in lambda2 0.330 * [taylor]: Taking taylor expansion of 0 in lambda2 0.330 * [taylor]: Taking taylor expansion of 0 in phi2 0.330 * [taylor]: Taking taylor expansion of 0 in lambda1 0.330 * [taylor]: Taking taylor expansion of 0 in lambda2 0.330 * [taylor]: Taking taylor expansion of 0 in lambda1 0.330 * [taylor]: Taking taylor expansion of 0 in lambda2 0.331 * [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 0.331 * [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 0.331 * [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 0.331 * [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 0.332 * [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 0.332 * [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 0.332 * [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 0.333 * [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 0.333 * [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 0.333 * [taylor]: Taking taylor expansion of 0 in phi2 0.333 * [taylor]: Taking taylor expansion of 0 in lambda1 0.333 * [taylor]: Taking taylor expansion of 0 in lambda2 0.334 * [taylor]: Taking taylor expansion of 0 in lambda1 0.334 * [taylor]: Taking taylor expansion of 0 in lambda2 0.334 * [taylor]: Taking taylor expansion of 0 in lambda2 0.334 * [taylor]: Taking taylor expansion of 0 in phi2 0.334 * [taylor]: Taking taylor expansion of 0 in lambda1 0.334 * [taylor]: Taking taylor expansion of 0 in lambda2 0.334 * [taylor]: Taking taylor expansion of 0 in lambda1 0.334 * [taylor]: Taking taylor expansion of 0 in lambda2 0.334 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.334 * [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 0.334 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.334 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.335 * [taylor]: Taking taylor expansion of R in R 0.335 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.335 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.335 * [taylor]: Taking taylor expansion of R in lambda2 0.335 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.335 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.335 * [taylor]: Taking taylor expansion of R in lambda1 0.335 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.335 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.335 * [taylor]: Taking taylor expansion of R in phi2 0.335 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.335 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.335 * [taylor]: Taking taylor expansion of R in phi1 0.335 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.336 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.336 * [taylor]: Taking taylor expansion of R in phi1 0.336 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.336 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.336 * [taylor]: Taking taylor expansion of R in phi2 0.336 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.336 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.337 * [taylor]: Taking taylor expansion of R in lambda1 0.337 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.337 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.337 * [taylor]: Taking taylor expansion of R in lambda2 0.337 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.337 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.337 * [taylor]: Taking taylor expansion of R in R 0.338 * [taylor]: Taking taylor expansion of 0 in phi2 0.338 * [taylor]: Taking taylor expansion of 0 in lambda1 0.338 * [taylor]: Taking taylor expansion of 0 in lambda2 0.338 * [taylor]: Taking taylor expansion of 0 in R 0.338 * [taylor]: Taking taylor expansion of 0 in lambda1 0.338 * [taylor]: Taking taylor expansion of 0 in lambda2 0.338 * [taylor]: Taking taylor expansion of 0 in R 0.338 * [taylor]: Taking taylor expansion of 0 in lambda2 0.338 * [taylor]: Taking taylor expansion of 0 in R 0.339 * [taylor]: Taking taylor expansion of 0 in R 0.340 * [taylor]: Taking taylor expansion of 0 in phi2 0.340 * [taylor]: Taking taylor expansion of 0 in lambda1 0.340 * [taylor]: Taking taylor expansion of 0 in lambda2 0.340 * [taylor]: Taking taylor expansion of 0 in R 0.340 * [taylor]: Taking taylor expansion of 0 in lambda1 0.340 * [taylor]: Taking taylor expansion of 0 in lambda2 0.340 * [taylor]: Taking taylor expansion of 0 in R 0.341 * [taylor]: Taking taylor expansion of 0 in lambda1 0.341 * [taylor]: Taking taylor expansion of 0 in lambda2 0.341 * [taylor]: Taking taylor expansion of 0 in R 0.341 * [taylor]: Taking taylor expansion of 0 in lambda2 0.341 * [taylor]: Taking taylor expansion of 0 in R 0.341 * [taylor]: Taking taylor expansion of 0 in lambda2 0.341 * [taylor]: Taking taylor expansion of 0 in R 0.342 * [taylor]: Taking taylor expansion of 0 in lambda2 0.342 * [taylor]: Taking taylor expansion of 0 in R 0.343 * [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 0.343 * [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 0.343 * [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 0.343 * [taylor]: Taking taylor expansion of R in R 0.343 * [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 0.343 * [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 0.343 * [taylor]: Taking taylor expansion of R in lambda2 0.344 * [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 0.344 * [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 0.344 * [taylor]: Taking taylor expansion of R in lambda1 0.344 * [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 0.344 * [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 0.345 * [taylor]: Taking taylor expansion of R in phi2 0.345 * [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 0.345 * [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 0.345 * [taylor]: Taking taylor expansion of R in phi1 0.345 * [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 0.345 * [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 0.346 * [taylor]: Taking taylor expansion of R in phi1 0.346 * [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 0.346 * [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 0.346 * [taylor]: Taking taylor expansion of R in phi2 0.347 * [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 0.347 * [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 0.347 * [taylor]: Taking taylor expansion of R in lambda1 0.347 * [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 0.347 * [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 0.347 * [taylor]: Taking taylor expansion of R in lambda2 0.348 * [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 0.348 * [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 0.348 * [taylor]: Taking taylor expansion of R in R 0.349 * [taylor]: Taking taylor expansion of 0 in phi2 0.349 * [taylor]: Taking taylor expansion of 0 in lambda1 0.349 * [taylor]: Taking taylor expansion of 0 in lambda2 0.349 * [taylor]: Taking taylor expansion of 0 in R 0.349 * [taylor]: Taking taylor expansion of 0 in lambda1 0.349 * [taylor]: Taking taylor expansion of 0 in lambda2 0.349 * [taylor]: Taking taylor expansion of 0 in R 0.350 * [taylor]: Taking taylor expansion of 0 in lambda2 0.350 * [taylor]: Taking taylor expansion of 0 in R 0.350 * [taylor]: Taking taylor expansion of 0 in R 0.352 * [taylor]: Taking taylor expansion of 0 in phi2 0.352 * [taylor]: Taking taylor expansion of 0 in lambda1 0.352 * [taylor]: Taking taylor expansion of 0 in lambda2 0.352 * [taylor]: Taking taylor expansion of 0 in R 0.352 * [taylor]: Taking taylor expansion of 0 in lambda1 0.352 * [taylor]: Taking taylor expansion of 0 in lambda2 0.352 * [taylor]: Taking taylor expansion of 0 in R 0.352 * [taylor]: Taking taylor expansion of 0 in lambda1 0.352 * [taylor]: Taking taylor expansion of 0 in lambda2 0.352 * [taylor]: Taking taylor expansion of 0 in R 0.352 * [taylor]: Taking taylor expansion of 0 in lambda2 0.352 * [taylor]: Taking taylor expansion of 0 in R 0.352 * [taylor]: Taking taylor expansion of 0 in lambda2 0.352 * [taylor]: Taking taylor expansion of 0 in R 0.353 * [taylor]: Taking taylor expansion of 0 in lambda2 0.353 * [taylor]: Taking taylor expansion of 0 in R 0.353 * [taylor]: Taking taylor expansion of 0 in R 0.353 * [taylor]: Taking taylor expansion of 0 in R 0.353 * [taylor]: Taking taylor expansion of 0 in R 0.353 * [taylor]: Taking taylor expansion of 0 in R 0.356 * [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 0.356 * [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 0.356 * [taylor]: Taking taylor expansion of -1 in R 0.356 * [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 0.356 * [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 0.356 * [taylor]: Taking taylor expansion of R in R 0.356 * [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 0.356 * [taylor]: Taking taylor expansion of -1 in lambda2 0.356 * [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 0.356 * [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 0.357 * [taylor]: Taking taylor expansion of R in lambda2 0.357 * [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 0.357 * [taylor]: Taking taylor expansion of -1 in lambda1 0.357 * [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 0.357 * [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 0.357 * [taylor]: Taking taylor expansion of R in lambda1 0.357 * [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 0.357 * [taylor]: Taking taylor expansion of -1 in phi2 0.357 * [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 0.358 * [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 0.358 * [taylor]: Taking taylor expansion of R in phi2 0.358 * [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 0.358 * [taylor]: Taking taylor expansion of -1 in phi1 0.358 * [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 0.358 * [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 0.358 * [taylor]: Taking taylor expansion of R in phi1 0.359 * [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 0.359 * [taylor]: Taking taylor expansion of -1 in phi1 0.359 * [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 0.359 * [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 0.359 * [taylor]: Taking taylor expansion of R in phi1 0.360 * [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 0.360 * [taylor]: Taking taylor expansion of -1 in phi2 0.360 * [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 0.360 * [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 0.360 * [taylor]: Taking taylor expansion of R in phi2 0.361 * [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 0.361 * [taylor]: Taking taylor expansion of -1 in lambda1 0.361 * [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 0.361 * [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 0.361 * [taylor]: Taking taylor expansion of R in lambda1 0.361 * [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 0.361 * [taylor]: Taking taylor expansion of -1 in lambda2 0.361 * [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 0.361 * [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 0.362 * [taylor]: Taking taylor expansion of R in lambda2 0.362 * [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 0.362 * [taylor]: Taking taylor expansion of -1 in R 0.362 * [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 0.362 * [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 0.363 * [taylor]: Taking taylor expansion of R in R 0.365 * [taylor]: Taking taylor expansion of 0 in phi2 0.365 * [taylor]: Taking taylor expansion of 0 in lambda1 0.365 * [taylor]: Taking taylor expansion of 0 in lambda2 0.365 * [taylor]: Taking taylor expansion of 0 in R 0.366 * [taylor]: Taking taylor expansion of 0 in lambda1 0.366 * [taylor]: Taking taylor expansion of 0 in lambda2 0.366 * [taylor]: Taking taylor expansion of 0 in R 0.367 * [taylor]: Taking taylor expansion of 0 in lambda2 0.367 * [taylor]: Taking taylor expansion of 0 in R 0.368 * [taylor]: Taking taylor expansion of 0 in R 0.370 * [taylor]: Taking taylor expansion of 0 in phi2 0.370 * [taylor]: Taking taylor expansion of 0 in lambda1 0.370 * [taylor]: Taking taylor expansion of 0 in lambda2 0.370 * [taylor]: Taking taylor expansion of 0 in R 0.370 * [taylor]: Taking taylor expansion of 0 in lambda1 0.370 * [taylor]: Taking taylor expansion of 0 in lambda2 0.370 * [taylor]: Taking taylor expansion of 0 in R 0.372 * [taylor]: Taking taylor expansion of 0 in lambda1 0.372 * [taylor]: Taking taylor expansion of 0 in lambda2 0.372 * [taylor]: Taking taylor expansion of 0 in R 0.372 * [taylor]: Taking taylor expansion of 0 in lambda2 0.372 * [taylor]: Taking taylor expansion of 0 in R 0.372 * [taylor]: Taking taylor expansion of 0 in lambda2 0.372 * [taylor]: Taking taylor expansion of 0 in R 0.373 * [taylor]: Taking taylor expansion of 0 in lambda2 0.373 * [taylor]: Taking taylor expansion of 0 in R 0.373 * [taylor]: Taking taylor expansion of 0 in R 0.373 * [taylor]: Taking taylor expansion of 0 in R 0.373 * [taylor]: Taking taylor expansion of 0 in R 0.374 * [taylor]: Taking taylor expansion of 0 in R 0.377 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.377 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 0.377 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 0.377 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 0.377 * [taylor]: Taking taylor expansion of phi1 in phi2 0.377 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.377 * [taylor]: Taking taylor expansion of phi2 in phi2 0.377 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.377 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.377 * [taylor]: Taking taylor expansion of phi1 in phi1 0.377 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.377 * [taylor]: Taking taylor expansion of phi2 in phi1 0.377 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.377 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.377 * [taylor]: Taking taylor expansion of phi1 in phi1 0.377 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.378 * [taylor]: Taking taylor expansion of phi2 in phi1 0.378 * [taylor]: Taking taylor expansion of 0 in phi2 0.380 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.380 * [taylor]: Taking taylor expansion of phi2 in phi2 0.383 * [taylor]: Taking taylor expansion of 0 in phi2 0.387 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 0.387 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 0.387 * [taylor]: Taking taylor expansion of 1/6 in phi2 0.387 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.387 * [taylor]: Taking taylor expansion of phi2 in phi2 0.393 * [taylor]: Taking taylor expansion of 0 in phi2 0.393 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 0.393 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.393 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.393 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.393 * [taylor]: Taking taylor expansion of phi1 in phi2 0.394 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.394 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.394 * [taylor]: Taking taylor expansion of phi2 in phi2 0.394 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.394 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.394 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.394 * [taylor]: Taking taylor expansion of phi1 in phi1 0.394 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.394 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.394 * [taylor]: Taking taylor expansion of phi2 in phi1 0.394 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.394 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.394 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.394 * [taylor]: Taking taylor expansion of phi1 in phi1 0.395 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.395 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.395 * [taylor]: Taking taylor expansion of phi2 in phi1 0.395 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.395 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.395 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.395 * [taylor]: Taking taylor expansion of phi1 in phi2 0.395 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.395 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.395 * [taylor]: Taking taylor expansion of phi2 in phi2 0.397 * [taylor]: Taking taylor expansion of 0 in phi2 0.401 * [taylor]: Taking taylor expansion of 0 in phi2 0.407 * [taylor]: Taking taylor expansion of 0 in phi2 0.407 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 0.407 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.407 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.407 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.407 * [taylor]: Taking taylor expansion of -1 in phi2 0.407 * [taylor]: Taking taylor expansion of phi1 in phi2 0.407 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.407 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.407 * [taylor]: Taking taylor expansion of -1 in phi2 0.407 * [taylor]: Taking taylor expansion of phi2 in phi2 0.407 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.407 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.407 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.407 * [taylor]: Taking taylor expansion of -1 in phi1 0.408 * [taylor]: Taking taylor expansion of phi1 in phi1 0.408 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.408 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.408 * [taylor]: Taking taylor expansion of -1 in phi1 0.408 * [taylor]: Taking taylor expansion of phi2 in phi1 0.408 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.408 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.408 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.408 * [taylor]: Taking taylor expansion of -1 in phi1 0.408 * [taylor]: Taking taylor expansion of phi1 in phi1 0.408 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.408 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.408 * [taylor]: Taking taylor expansion of -1 in phi1 0.408 * [taylor]: Taking taylor expansion of phi2 in phi1 0.409 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.409 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.409 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.409 * [taylor]: Taking taylor expansion of -1 in phi2 0.409 * [taylor]: Taking taylor expansion of phi1 in phi2 0.409 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.409 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.409 * [taylor]: Taking taylor expansion of -1 in phi2 0.409 * [taylor]: Taking taylor expansion of phi2 in phi2 0.411 * [taylor]: Taking taylor expansion of 0 in phi2 0.419 * [taylor]: Taking taylor expansion of 0 in phi2 0.424 * [taylor]: Taking taylor expansion of 0 in phi2 0.424 * * * [progress]: simplifying candidates 0.425 * [simplify]: Simplifying using # : (* (cos lambda1) (cos (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos (- lambda2))) (* (sin lambda1) (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))) (* (* (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)) 0.428 * * [simplify]: iteration 0 : 111 enodes (cost 1035 ) 0.443 * * [simplify]: iteration 1 : 204 enodes (cost 1027 ) 0.477 * * [simplify]: iteration 2 : 504 enodes (cost 889 ) 0.611 * * [simplify]: iteration 3 : 1474 enodes (cost 887 ) 1.325 * * [simplify]: iteration done : 5000 enodes (cost 887 ) 1.325 * [simplify]: Simplified to: (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (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 phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (+ (* lambda1 (- lambda2 (* lambda1 1/2))) 1) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos 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) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 1.326 * * * [progress]: adding candidates to table 1.560 * * [progress]: iteration 2 / 4 1.560 * * * [progress]: picking best candidate 1.631 * * * * [pick]: Picked # 1.632 * * * [progress]: localizing error 1.666 * * * [progress]: generating rewritten candidates 1.666 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.667 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.670 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2) 1.694 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 1.700 * * * [progress]: generating series expansions 1.700 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.701 * [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 1.701 * [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 1.701 * [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 1.701 * [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 1.702 * [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 1.702 * [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 1.703 * [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 1.703 * [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 1.703 * [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 1.704 * [taylor]: Taking taylor expansion of 0 in phi2 1.704 * [taylor]: Taking taylor expansion of 0 in lambda1 1.704 * [taylor]: Taking taylor expansion of 0 in lambda2 1.704 * [taylor]: Taking taylor expansion of 0 in lambda1 1.704 * [taylor]: Taking taylor expansion of 0 in lambda2 1.704 * [taylor]: Taking taylor expansion of 0 in lambda2 1.704 * [taylor]: Taking taylor expansion of 0 in phi2 1.704 * [taylor]: Taking taylor expansion of 0 in lambda1 1.704 * [taylor]: Taking taylor expansion of 0 in lambda2 1.704 * [taylor]: Taking taylor expansion of 0 in lambda1 1.704 * [taylor]: Taking taylor expansion of 0 in lambda2 1.705 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.705 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 1.706 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 1.706 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 1.707 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 1.707 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 1.708 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 1.708 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 1.709 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 1.710 * [taylor]: Taking taylor expansion of 0 in phi2 1.710 * [taylor]: Taking taylor expansion of 0 in lambda1 1.710 * [taylor]: Taking taylor expansion of 0 in lambda2 1.710 * [taylor]: Taking taylor expansion of 0 in lambda1 1.710 * [taylor]: Taking taylor expansion of 0 in lambda2 1.710 * [taylor]: Taking taylor expansion of 0 in lambda2 1.710 * [taylor]: Taking taylor expansion of 0 in phi2 1.710 * [taylor]: Taking taylor expansion of 0 in lambda1 1.710 * [taylor]: Taking taylor expansion of 0 in lambda2 1.710 * [taylor]: Taking taylor expansion of 0 in lambda1 1.710 * [taylor]: Taking taylor expansion of 0 in lambda2 1.711 * [approximate]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.711 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 1.712 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 1.712 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 1.713 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 1.713 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 1.714 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 1.714 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 1.715 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 1.716 * [taylor]: Taking taylor expansion of 0 in phi2 1.716 * [taylor]: Taking taylor expansion of 0 in lambda1 1.716 * [taylor]: Taking taylor expansion of 0 in lambda2 1.716 * [taylor]: Taking taylor expansion of 0 in lambda1 1.716 * [taylor]: Taking taylor expansion of 0 in lambda2 1.716 * [taylor]: Taking taylor expansion of 0 in lambda2 1.716 * [taylor]: Taking taylor expansion of 0 in phi2 1.716 * [taylor]: Taking taylor expansion of 0 in lambda1 1.716 * [taylor]: Taking taylor expansion of 0 in lambda2 1.716 * [taylor]: Taking taylor expansion of 0 in lambda1 1.716 * [taylor]: Taking taylor expansion of 0 in lambda2 1.717 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.717 * [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 1.717 * [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 1.717 * [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 1.717 * [taylor]: Taking taylor expansion of R in R 1.717 * [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 1.718 * [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 1.718 * [taylor]: Taking taylor expansion of R in lambda2 1.718 * [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 1.718 * [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 1.718 * [taylor]: Taking taylor expansion of R in lambda1 1.718 * [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 1.718 * [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 1.719 * [taylor]: Taking taylor expansion of R in phi2 1.719 * [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 1.719 * [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 1.719 * [taylor]: Taking taylor expansion of R in phi1 1.719 * [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 1.719 * [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 1.719 * [taylor]: Taking taylor expansion of R in phi1 1.720 * [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 1.720 * [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 1.720 * [taylor]: Taking taylor expansion of R in phi2 1.721 * [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 1.721 * [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 1.721 * [taylor]: Taking taylor expansion of R in lambda1 1.721 * [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 1.721 * [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 1.722 * [taylor]: Taking taylor expansion of R in lambda2 1.722 * [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 1.722 * [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 1.723 * [taylor]: Taking taylor expansion of R in R 1.723 * [taylor]: Taking taylor expansion of 0 in phi2 1.723 * [taylor]: Taking taylor expansion of 0 in lambda1 1.723 * [taylor]: Taking taylor expansion of 0 in lambda2 1.723 * [taylor]: Taking taylor expansion of 0 in R 1.724 * [taylor]: Taking taylor expansion of 0 in lambda1 1.724 * [taylor]: Taking taylor expansion of 0 in lambda2 1.724 * [taylor]: Taking taylor expansion of 0 in R 1.724 * [taylor]: Taking taylor expansion of 0 in lambda2 1.724 * [taylor]: Taking taylor expansion of 0 in R 1.725 * [taylor]: Taking taylor expansion of 0 in R 1.727 * [taylor]: Taking taylor expansion of 0 in phi2 1.727 * [taylor]: Taking taylor expansion of 0 in lambda1 1.727 * [taylor]: Taking taylor expansion of 0 in lambda2 1.727 * [taylor]: Taking taylor expansion of 0 in R 1.727 * [taylor]: Taking taylor expansion of 0 in lambda1 1.727 * [taylor]: Taking taylor expansion of 0 in lambda2 1.727 * [taylor]: Taking taylor expansion of 0 in R 1.728 * [taylor]: Taking taylor expansion of 0 in lambda1 1.728 * [taylor]: Taking taylor expansion of 0 in lambda2 1.728 * [taylor]: Taking taylor expansion of 0 in R 1.728 * [taylor]: Taking taylor expansion of 0 in lambda2 1.728 * [taylor]: Taking taylor expansion of 0 in R 1.728 * [taylor]: Taking taylor expansion of 0 in lambda2 1.728 * [taylor]: Taking taylor expansion of 0 in R 1.728 * [taylor]: Taking taylor expansion of 0 in lambda2 1.728 * [taylor]: Taking taylor expansion of 0 in R 1.730 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 1.730 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in R 1.730 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in R 1.730 * [taylor]: Taking taylor expansion of R in R 1.731 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda2 1.731 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 1.731 * [taylor]: Taking taylor expansion of R in lambda2 1.732 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda1 1.732 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 1.736 * [taylor]: Taking taylor expansion of R in lambda1 1.737 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi2 1.737 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 1.737 * [taylor]: Taking taylor expansion of R in phi2 1.738 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi1 1.738 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 1.738 * [taylor]: Taking taylor expansion of R in phi1 1.739 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi1 1.739 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 1.739 * [taylor]: Taking taylor expansion of R in phi1 1.740 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi2 1.740 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 1.740 * [taylor]: Taking taylor expansion of R in phi2 1.741 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda1 1.741 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 1.742 * [taylor]: Taking taylor expansion of R in lambda1 1.742 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda2 1.742 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 1.743 * [taylor]: Taking taylor expansion of R in lambda2 1.743 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in R 1.743 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in R 1.744 * [taylor]: Taking taylor expansion of R in R 1.745 * [taylor]: Taking taylor expansion of 0 in phi2 1.745 * [taylor]: Taking taylor expansion of 0 in lambda1 1.745 * [taylor]: Taking taylor expansion of 0 in lambda2 1.745 * [taylor]: Taking taylor expansion of 0 in R 1.746 * [taylor]: Taking taylor expansion of 0 in lambda1 1.746 * [taylor]: Taking taylor expansion of 0 in lambda2 1.746 * [taylor]: Taking taylor expansion of 0 in R 1.747 * [taylor]: Taking taylor expansion of 0 in lambda2 1.747 * [taylor]: Taking taylor expansion of 0 in R 1.748 * [taylor]: Taking taylor expansion of 0 in R 1.750 * [taylor]: Taking taylor expansion of 0 in phi2 1.750 * [taylor]: Taking taylor expansion of 0 in lambda1 1.750 * [taylor]: Taking taylor expansion of 0 in lambda2 1.750 * [taylor]: Taking taylor expansion of 0 in R 1.750 * [taylor]: Taking taylor expansion of 0 in lambda1 1.750 * [taylor]: Taking taylor expansion of 0 in lambda2 1.750 * [taylor]: Taking taylor expansion of 0 in R 1.751 * [taylor]: Taking taylor expansion of 0 in lambda1 1.751 * [taylor]: Taking taylor expansion of 0 in lambda2 1.751 * [taylor]: Taking taylor expansion of 0 in R 1.751 * [taylor]: Taking taylor expansion of 0 in lambda2 1.751 * [taylor]: Taking taylor expansion of 0 in R 1.751 * [taylor]: Taking taylor expansion of 0 in lambda2 1.751 * [taylor]: Taking taylor expansion of 0 in R 1.751 * [taylor]: Taking taylor expansion of 0 in lambda2 1.751 * [taylor]: Taking taylor expansion of 0 in R 1.751 * [taylor]: Taking taylor expansion of 0 in R 1.751 * [taylor]: Taking taylor expansion of 0 in R 1.751 * [taylor]: Taking taylor expansion of 0 in R 1.752 * [taylor]: Taking taylor expansion of 0 in R 1.755 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 1.755 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in R 1.755 * [taylor]: Taking taylor expansion of -1 in R 1.755 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in R 1.755 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in R 1.756 * [taylor]: Taking taylor expansion of R in R 1.756 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda2 1.756 * [taylor]: Taking taylor expansion of -1 in lambda2 1.756 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda2 1.756 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 1.757 * [taylor]: Taking taylor expansion of R in lambda2 1.757 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda1 1.757 * [taylor]: Taking taylor expansion of -1 in lambda1 1.757 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda1 1.757 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 1.758 * [taylor]: Taking taylor expansion of R in lambda1 1.758 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi2 1.758 * [taylor]: Taking taylor expansion of -1 in phi2 1.758 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi2 1.758 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 1.759 * [taylor]: Taking taylor expansion of R in phi2 1.759 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi1 1.759 * [taylor]: Taking taylor expansion of -1 in phi1 1.759 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi1 1.759 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 1.760 * [taylor]: Taking taylor expansion of R in phi1 1.760 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi1 1.760 * [taylor]: Taking taylor expansion of -1 in phi1 1.760 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi1 1.760 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 1.761 * [taylor]: Taking taylor expansion of R in phi1 1.762 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi2 1.762 * [taylor]: Taking taylor expansion of -1 in phi2 1.762 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi2 1.762 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 1.763 * [taylor]: Taking taylor expansion of R in phi2 1.764 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda1 1.764 * [taylor]: Taking taylor expansion of -1 in lambda1 1.764 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda1 1.764 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 1.764 * [taylor]: Taking taylor expansion of R in lambda1 1.765 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda2 1.765 * [taylor]: Taking taylor expansion of -1 in lambda2 1.765 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda2 1.765 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 1.766 * [taylor]: Taking taylor expansion of R in lambda2 1.767 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in R 1.767 * [taylor]: Taking taylor expansion of -1 in R 1.767 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in R 1.767 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in R 1.767 * [taylor]: Taking taylor expansion of R in R 1.770 * [taylor]: Taking taylor expansion of 0 in phi2 1.770 * [taylor]: Taking taylor expansion of 0 in lambda1 1.770 * [taylor]: Taking taylor expansion of 0 in lambda2 1.770 * [taylor]: Taking taylor expansion of 0 in R 1.772 * [taylor]: Taking taylor expansion of 0 in lambda1 1.772 * [taylor]: Taking taylor expansion of 0 in lambda2 1.772 * [taylor]: Taking taylor expansion of 0 in R 1.773 * [taylor]: Taking taylor expansion of 0 in lambda2 1.773 * [taylor]: Taking taylor expansion of 0 in R 1.775 * [taylor]: Taking taylor expansion of 0 in R 1.778 * [taylor]: Taking taylor expansion of 0 in phi2 1.778 * [taylor]: Taking taylor expansion of 0 in lambda1 1.778 * [taylor]: Taking taylor expansion of 0 in lambda2 1.778 * [taylor]: Taking taylor expansion of 0 in R 1.778 * [taylor]: Taking taylor expansion of 0 in lambda1 1.778 * [taylor]: Taking taylor expansion of 0 in lambda2 1.778 * [taylor]: Taking taylor expansion of 0 in R 1.780 * [taylor]: Taking taylor expansion of 0 in lambda1 1.780 * [taylor]: Taking taylor expansion of 0 in lambda2 1.780 * [taylor]: Taking taylor expansion of 0 in R 1.780 * [taylor]: Taking taylor expansion of 0 in lambda2 1.780 * [taylor]: Taking taylor expansion of 0 in R 1.780 * [taylor]: Taking taylor expansion of 0 in lambda2 1.780 * [taylor]: Taking taylor expansion of 0 in R 1.782 * [taylor]: Taking taylor expansion of 0 in lambda2 1.782 * [taylor]: Taking taylor expansion of 0 in R 1.782 * [taylor]: Taking taylor expansion of 0 in R 1.782 * [taylor]: Taking taylor expansion of 0 in R 1.782 * [taylor]: Taking taylor expansion of 0 in R 1.784 * [taylor]: Taking taylor expansion of 0 in R 1.787 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2) 1.788 * [approximate]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) in (phi1 phi2 lambda1 lambda2) around 0 1.788 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) in lambda2 1.788 * [taylor]: Taking taylor expansion of (cos phi1) in lambda2 1.788 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.788 * [taylor]: Taking taylor expansion of (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) in lambda2 1.788 * [taylor]: Taking taylor expansion of (cos phi2) in lambda2 1.788 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.788 * [taylor]: Taking taylor expansion of (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))) in lambda2 1.788 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda2 1.788 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda2 1.788 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.788 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 1.788 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.788 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda2 1.788 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 1.788 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.788 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 1.788 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.788 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.788 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) in lambda1 1.789 * [taylor]: Taking taylor expansion of (cos phi1) in lambda1 1.789 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.789 * [taylor]: Taking taylor expansion of (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) in lambda1 1.789 * [taylor]: Taking taylor expansion of (cos phi2) in lambda1 1.789 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.789 * [taylor]: Taking taylor expansion of (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))) in lambda1 1.789 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 1.789 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 1.789 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.789 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 1.789 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.789 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 1.789 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.789 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.789 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 1.789 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 1.789 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.789 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) in phi2 1.789 * [taylor]: Taking taylor expansion of (cos phi1) in phi2 1.789 * [taylor]: Taking taylor expansion of phi1 in phi2 1.789 * [taylor]: Taking taylor expansion of (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) in phi2 1.789 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 1.789 * [taylor]: Taking taylor expansion of phi2 in phi2 1.789 * [taylor]: Taking taylor expansion of (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))) in phi2 1.789 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi2 1.789 * [taylor]: Taking taylor expansion of (cos lambda1) in phi2 1.789 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.789 * [taylor]: Taking taylor expansion of (cos lambda2) in phi2 1.789 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.789 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in phi2 1.789 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 1.789 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.789 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in phi2 1.789 * [taylor]: Taking taylor expansion of (- lambda2) in phi2 1.789 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.789 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) in phi1 1.789 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 1.789 * [taylor]: Taking taylor expansion of phi1 in phi1 1.789 * [taylor]: Taking taylor expansion of (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) in phi1 1.790 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 1.790 * [taylor]: Taking taylor expansion of phi2 in phi1 1.790 * [taylor]: Taking taylor expansion of (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))) in phi1 1.790 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi1 1.790 * [taylor]: Taking taylor expansion of (cos lambda1) in phi1 1.790 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.790 * [taylor]: Taking taylor expansion of (cos lambda2) in phi1 1.790 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.790 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in phi1 1.790 * [taylor]: Taking taylor expansion of (sin lambda1) in phi1 1.790 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.790 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in phi1 1.790 * [taylor]: Taking taylor expansion of (- lambda2) in phi1 1.790 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.790 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) in phi1 1.790 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 1.790 * [taylor]: Taking taylor expansion of phi1 in phi1 1.790 * [taylor]: Taking taylor expansion of (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) in phi1 1.790 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 1.790 * [taylor]: Taking taylor expansion of phi2 in phi1 1.790 * [taylor]: Taking taylor expansion of (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))) in phi1 1.790 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi1 1.790 * [taylor]: Taking taylor expansion of (cos lambda1) in phi1 1.790 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.790 * [taylor]: Taking taylor expansion of (cos lambda2) in phi1 1.790 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.790 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in phi1 1.790 * [taylor]: Taking taylor expansion of (sin lambda1) in phi1 1.790 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.790 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in phi1 1.790 * [taylor]: Taking taylor expansion of (- lambda2) in phi1 1.790 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.792 * [taylor]: Taking taylor expansion of (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) in phi2 1.792 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 1.792 * [taylor]: Taking taylor expansion of phi2 in phi2 1.792 * [taylor]: Taking taylor expansion of (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))) in phi2 1.792 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi2 1.792 * [taylor]: Taking taylor expansion of (cos lambda1) in phi2 1.792 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.792 * [taylor]: Taking taylor expansion of (cos lambda2) in phi2 1.792 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.792 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in phi2 1.792 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 1.792 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.792 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in phi2 1.792 * [taylor]: Taking taylor expansion of (- lambda2) in phi2 1.792 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.793 * [taylor]: Taking taylor expansion of (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))) in lambda1 1.793 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 1.793 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 1.794 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.794 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 1.794 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.794 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 1.794 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.794 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.794 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 1.794 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 1.794 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.794 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 1.794 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.804 * [taylor]: Taking taylor expansion of 0 in phi2 1.804 * [taylor]: Taking taylor expansion of 0 in lambda1 1.804 * [taylor]: Taking taylor expansion of 0 in lambda2 1.811 * [taylor]: Taking taylor expansion of 0 in lambda1 1.811 * [taylor]: Taking taylor expansion of 0 in lambda2 1.819 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 1.819 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 1.819 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.819 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.833 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sin lambda1) (* (cos phi2) (sin (- lambda2))))) (* 1/2 (* (cos lambda1) (* (cos phi2) (cos lambda2))))) in phi2 1.833 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (* (cos phi2) (sin (- lambda2))))) in phi2 1.833 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.833 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi2) (sin (- lambda2)))) in phi2 1.833 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 1.833 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.833 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin (- lambda2))) in phi2 1.833 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 1.833 * [taylor]: Taking taylor expansion of phi2 in phi2 1.833 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in phi2 1.833 * [taylor]: Taking taylor expansion of (- lambda2) in phi2 1.833 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.833 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos lambda1) (* (cos phi2) (cos lambda2)))) in phi2 1.833 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.833 * [taylor]: Taking taylor expansion of (* (cos lambda1) (* (cos phi2) (cos lambda2))) in phi2 1.833 * [taylor]: Taking taylor expansion of (cos lambda1) in phi2 1.833 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.833 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos lambda2)) in phi2 1.833 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 1.833 * [taylor]: Taking taylor expansion of phi2 in phi2 1.833 * [taylor]: Taking taylor expansion of (cos lambda2) in phi2 1.833 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.835 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sin lambda1) (sin (- lambda2)))) (* 1/2 (* (cos lambda1) (cos lambda2)))) in lambda1 1.835 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (sin (- lambda2)))) in lambda1 1.835 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.835 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 1.835 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.835 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.835 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 1.835 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 1.835 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.835 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos lambda1) (cos lambda2))) in lambda1 1.835 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.835 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 1.835 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 1.835 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.835 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 1.835 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.836 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos lambda2))) in lambda2 1.836 * [taylor]: Taking taylor expansion of (* 1/2 (cos lambda2)) in lambda2 1.836 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.836 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 1.836 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.836 * [taylor]: Taking taylor expansion of 0 in lambda1 1.836 * [taylor]: Taking taylor expansion of 0 in lambda2 1.847 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sin lambda1) (sin (- lambda2)))) (* 1/2 (* (cos lambda1) (cos lambda2)))) in lambda1 1.847 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (sin (- lambda2)))) in lambda1 1.847 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.847 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 1.847 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.847 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.847 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 1.847 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 1.847 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.847 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos lambda1) (cos lambda2))) in lambda1 1.847 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.847 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 1.847 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 1.847 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.847 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 1.847 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.848 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos lambda2))) in lambda2 1.848 * [taylor]: Taking taylor expansion of (* 1/2 (cos lambda2)) in lambda2 1.848 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.848 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 1.848 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.849 * [approximate]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.849 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))))) in lambda2 1.849 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 1.849 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.849 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.849 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))) in lambda2 1.849 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 1.849 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.849 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.849 * [taylor]: Taking taylor expansion of (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))) in lambda2 1.850 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda2 1.850 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda2 1.850 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.850 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.850 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda2 1.850 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.850 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.850 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda2 1.850 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.850 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.850 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.850 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 1.850 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 1.850 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.850 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.851 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))))) in lambda1 1.851 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 1.851 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.851 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.851 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))) in lambda1 1.851 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 1.851 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.851 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.851 * [taylor]: Taking taylor expansion of (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))) in lambda1 1.851 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda1 1.851 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda1 1.851 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.851 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.851 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda1 1.851 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.851 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.851 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 1.851 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.851 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.851 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.852 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 1.852 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 1.852 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.852 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.852 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))))) in phi2 1.852 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 1.852 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.852 * [taylor]: Taking taylor expansion of phi2 in phi2 1.852 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))) in phi2 1.852 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 1.852 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.852 * [taylor]: Taking taylor expansion of phi1 in phi2 1.853 * [taylor]: Taking taylor expansion of (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))) in phi2 1.853 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi2 1.853 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi2 1.853 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.853 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.853 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi2 1.853 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.853 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.853 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in phi2 1.853 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi2 1.853 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.853 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.853 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in phi2 1.853 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in phi2 1.853 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.853 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.853 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))))) in phi1 1.853 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 1.853 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.853 * [taylor]: Taking taylor expansion of phi2 in phi1 1.853 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))) in phi1 1.853 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 1.853 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.853 * [taylor]: Taking taylor expansion of phi1 in phi1 1.854 * [taylor]: Taking taylor expansion of (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))) in phi1 1.854 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi1 1.854 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi1 1.854 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.854 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.854 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi1 1.854 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.854 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.854 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in phi1 1.854 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi1 1.854 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.854 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.854 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in phi1 1.854 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in phi1 1.854 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.854 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.854 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))))) in phi1 1.854 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 1.854 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.854 * [taylor]: Taking taylor expansion of phi2 in phi1 1.854 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))) in phi1 1.854 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 1.854 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.854 * [taylor]: Taking taylor expansion of phi1 in phi1 1.855 * [taylor]: Taking taylor expansion of (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))) in phi1 1.855 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi1 1.855 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi1 1.855 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.855 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.855 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi1 1.855 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.855 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.855 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in phi1 1.855 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi1 1.855 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.855 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.855 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in phi1 1.855 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in phi1 1.855 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.855 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.857 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))))) in phi2 1.857 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 1.857 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.857 * [taylor]: Taking taylor expansion of phi2 in phi2 1.858 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))) in phi2 1.858 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 1.858 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.858 * [taylor]: Taking taylor expansion of phi1 in phi2 1.858 * [taylor]: Taking taylor expansion of (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))) in phi2 1.858 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi2 1.858 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi2 1.858 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.858 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.858 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi2 1.858 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.858 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.858 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in phi2 1.858 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi2 1.858 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.858 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.858 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in phi2 1.858 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in phi2 1.858 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.858 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.860 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))))) in lambda1 1.861 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 1.861 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.861 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.861 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))) in lambda1 1.861 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 1.861 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.861 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.861 * [taylor]: Taking taylor expansion of (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))) in lambda1 1.861 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda1 1.861 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda1 1.861 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.861 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.861 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda1 1.861 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.861 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.861 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 1.861 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.861 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.861 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.862 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 1.862 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 1.862 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.862 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.864 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))))) in lambda2 1.864 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 1.864 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.864 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.864 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))) in lambda2 1.864 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 1.864 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.864 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.864 * [taylor]: Taking taylor expansion of (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))) in lambda2 1.864 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda2 1.864 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda2 1.864 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.864 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.864 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda2 1.864 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.864 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.864 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda2 1.864 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.864 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.865 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.865 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 1.865 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 1.865 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.865 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.877 * [taylor]: Taking taylor expansion of 0 in phi2 1.877 * [taylor]: Taking taylor expansion of 0 in lambda1 1.877 * [taylor]: Taking taylor expansion of 0 in lambda2 1.886 * [taylor]: Taking taylor expansion of 0 in lambda1 1.886 * [taylor]: Taking taylor expansion of 0 in lambda2 1.894 * [taylor]: Taking taylor expansion of 0 in lambda2 1.919 * [taylor]: Taking taylor expansion of 0 in phi2 1.919 * [taylor]: Taking taylor expansion of 0 in lambda1 1.919 * [taylor]: Taking taylor expansion of 0 in lambda2 1.919 * [taylor]: Taking taylor expansion of 0 in lambda1 1.919 * [taylor]: Taking taylor expansion of 0 in lambda2 1.920 * [approximate]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2)))) in (phi1 phi2 lambda1 lambda2) around 0 1.920 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2)))) in lambda2 1.920 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 1.920 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 1.920 * [taylor]: Taking taylor expansion of -1 in lambda2 1.920 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.920 * [taylor]: Taking taylor expansion of (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2))) in lambda2 1.920 * [taylor]: Taking taylor expansion of (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) in lambda2 1.920 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda2 1.920 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda2 1.920 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.920 * [taylor]: Taking taylor expansion of -1 in lambda2 1.920 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.920 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda2 1.920 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.920 * [taylor]: Taking taylor expansion of -1 in lambda2 1.920 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.921 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.921 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.921 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.921 * [taylor]: Taking taylor expansion of -1 in lambda2 1.921 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.921 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.921 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.921 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.921 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 1.921 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 1.921 * [taylor]: Taking taylor expansion of -1 in lambda2 1.921 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.921 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2)))) in lambda1 1.921 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 1.921 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 1.921 * [taylor]: Taking taylor expansion of -1 in lambda1 1.921 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.921 * [taylor]: Taking taylor expansion of (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2))) in lambda1 1.921 * [taylor]: Taking taylor expansion of (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) in lambda1 1.921 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda1 1.921 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda1 1.921 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.921 * [taylor]: Taking taylor expansion of -1 in lambda1 1.921 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.922 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda1 1.922 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.922 * [taylor]: Taking taylor expansion of -1 in lambda1 1.922 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.922 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.922 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.922 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.922 * [taylor]: Taking taylor expansion of -1 in lambda1 1.922 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.922 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.922 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.922 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.922 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 1.922 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 1.922 * [taylor]: Taking taylor expansion of -1 in lambda1 1.922 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.923 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2)))) in phi2 1.923 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 1.923 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.923 * [taylor]: Taking taylor expansion of -1 in phi2 1.923 * [taylor]: Taking taylor expansion of phi1 in phi2 1.923 * [taylor]: Taking taylor expansion of (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2))) in phi2 1.923 * [taylor]: Taking taylor expansion of (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) in phi2 1.923 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi2 1.923 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi2 1.923 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 1.923 * [taylor]: Taking taylor expansion of -1 in phi2 1.923 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.923 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi2 1.923 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 1.923 * [taylor]: Taking taylor expansion of -1 in phi2 1.923 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.923 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in phi2 1.923 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi2 1.923 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 1.923 * [taylor]: Taking taylor expansion of -1 in phi2 1.923 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.923 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi2 1.923 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.923 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.923 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 1.923 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.923 * [taylor]: Taking taylor expansion of -1 in phi2 1.923 * [taylor]: Taking taylor expansion of phi2 in phi2 1.924 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2)))) in phi1 1.924 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 1.924 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.924 * [taylor]: Taking taylor expansion of -1 in phi1 1.924 * [taylor]: Taking taylor expansion of phi1 in phi1 1.924 * [taylor]: Taking taylor expansion of (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2))) in phi1 1.924 * [taylor]: Taking taylor expansion of (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) in phi1 1.924 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi1 1.924 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi1 1.924 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 1.924 * [taylor]: Taking taylor expansion of -1 in phi1 1.924 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.924 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi1 1.924 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 1.924 * [taylor]: Taking taylor expansion of -1 in phi1 1.924 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.924 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in phi1 1.924 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi1 1.924 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 1.924 * [taylor]: Taking taylor expansion of -1 in phi1 1.924 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.925 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi1 1.925 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.925 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.925 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 1.925 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.925 * [taylor]: Taking taylor expansion of -1 in phi1 1.925 * [taylor]: Taking taylor expansion of phi2 in phi1 1.925 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2)))) in phi1 1.925 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 1.925 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.925 * [taylor]: Taking taylor expansion of -1 in phi1 1.925 * [taylor]: Taking taylor expansion of phi1 in phi1 1.925 * [taylor]: Taking taylor expansion of (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2))) in phi1 1.925 * [taylor]: Taking taylor expansion of (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) in phi1 1.925 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi1 1.925 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi1 1.925 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 1.925 * [taylor]: Taking taylor expansion of -1 in phi1 1.925 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.925 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi1 1.925 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 1.925 * [taylor]: Taking taylor expansion of -1 in phi1 1.925 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.925 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in phi1 1.925 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi1 1.926 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 1.926 * [taylor]: Taking taylor expansion of -1 in phi1 1.926 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.926 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi1 1.926 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.926 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.926 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 1.926 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.926 * [taylor]: Taking taylor expansion of -1 in phi1 1.926 * [taylor]: Taking taylor expansion of phi2 in phi1 1.928 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2)))) in phi2 1.928 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 1.928 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.928 * [taylor]: Taking taylor expansion of -1 in phi2 1.928 * [taylor]: Taking taylor expansion of phi1 in phi2 1.928 * [taylor]: Taking taylor expansion of (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2))) in phi2 1.928 * [taylor]: Taking taylor expansion of (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) in phi2 1.928 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi2 1.928 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi2 1.928 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 1.928 * [taylor]: Taking taylor expansion of -1 in phi2 1.928 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.928 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi2 1.928 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 1.928 * [taylor]: Taking taylor expansion of -1 in phi2 1.928 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.928 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in phi2 1.928 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi2 1.928 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 1.928 * [taylor]: Taking taylor expansion of -1 in phi2 1.928 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.929 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi2 1.929 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.929 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.929 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 1.929 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.929 * [taylor]: Taking taylor expansion of -1 in phi2 1.929 * [taylor]: Taking taylor expansion of phi2 in phi2 1.931 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2)))) in lambda1 1.931 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 1.931 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 1.931 * [taylor]: Taking taylor expansion of -1 in lambda1 1.931 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.931 * [taylor]: Taking taylor expansion of (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2))) in lambda1 1.931 * [taylor]: Taking taylor expansion of (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) in lambda1 1.931 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda1 1.931 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda1 1.931 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.931 * [taylor]: Taking taylor expansion of -1 in lambda1 1.931 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.932 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda1 1.932 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.932 * [taylor]: Taking taylor expansion of -1 in lambda1 1.932 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.932 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.932 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.932 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.932 * [taylor]: Taking taylor expansion of -1 in lambda1 1.932 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.932 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.932 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.932 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.932 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 1.932 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 1.932 * [taylor]: Taking taylor expansion of -1 in lambda1 1.932 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.934 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2)))) in lambda2 1.934 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 1.934 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 1.934 * [taylor]: Taking taylor expansion of -1 in lambda2 1.934 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.934 * [taylor]: Taking taylor expansion of (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2))) in lambda2 1.934 * [taylor]: Taking taylor expansion of (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) in lambda2 1.934 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda2 1.934 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda2 1.934 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.934 * [taylor]: Taking taylor expansion of -1 in lambda2 1.934 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.934 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda2 1.935 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.935 * [taylor]: Taking taylor expansion of -1 in lambda2 1.935 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.935 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.935 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.935 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.935 * [taylor]: Taking taylor expansion of -1 in lambda2 1.935 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.935 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.935 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.935 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.935 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 1.935 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 1.935 * [taylor]: Taking taylor expansion of -1 in lambda2 1.935 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.947 * [taylor]: Taking taylor expansion of 0 in phi2 1.947 * [taylor]: Taking taylor expansion of 0 in lambda1 1.947 * [taylor]: Taking taylor expansion of 0 in lambda2 1.956 * [taylor]: Taking taylor expansion of 0 in lambda1 1.956 * [taylor]: Taking taylor expansion of 0 in lambda2 1.964 * [taylor]: Taking taylor expansion of 0 in lambda2 1.984 * [taylor]: Taking taylor expansion of 0 in phi2 1.984 * [taylor]: Taking taylor expansion of 0 in lambda1 1.984 * [taylor]: Taking taylor expansion of 0 in lambda2 1.984 * [taylor]: Taking taylor expansion of 0 in lambda1 1.984 * [taylor]: Taking taylor expansion of 0 in lambda2 1.984 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 1.984 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 1.984 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 1.984 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 1.984 * [taylor]: Taking taylor expansion of phi1 in phi2 1.984 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.984 * [taylor]: Taking taylor expansion of phi2 in phi2 1.984 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.984 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.984 * [taylor]: Taking taylor expansion of phi1 in phi1 1.984 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.984 * [taylor]: Taking taylor expansion of phi2 in phi1 1.985 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.985 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.985 * [taylor]: Taking taylor expansion of phi1 in phi1 1.985 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.985 * [taylor]: Taking taylor expansion of phi2 in phi1 1.985 * [taylor]: Taking taylor expansion of 0 in phi2 1.987 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.987 * [taylor]: Taking taylor expansion of phi2 in phi2 1.990 * [taylor]: Taking taylor expansion of 0 in phi2 1.998 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 1.998 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 1.998 * [taylor]: Taking taylor expansion of 1/6 in phi2 1.998 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.998 * [taylor]: Taking taylor expansion of phi2 in phi2 2.004 * [taylor]: Taking taylor expansion of 0 in phi2 2.004 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 2.004 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 2.004 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 2.004 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.004 * [taylor]: Taking taylor expansion of phi1 in phi2 2.004 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 2.004 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.004 * [taylor]: Taking taylor expansion of phi2 in phi2 2.005 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 2.005 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 2.005 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.005 * [taylor]: Taking taylor expansion of phi1 in phi1 2.005 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 2.005 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.005 * [taylor]: Taking taylor expansion of phi2 in phi1 2.005 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 2.005 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 2.005 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.005 * [taylor]: Taking taylor expansion of phi1 in phi1 2.005 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 2.005 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.005 * [taylor]: Taking taylor expansion of phi2 in phi1 2.006 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 2.006 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 2.006 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.006 * [taylor]: Taking taylor expansion of phi1 in phi2 2.006 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 2.006 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.006 * [taylor]: Taking taylor expansion of phi2 in phi2 2.009 * [taylor]: Taking taylor expansion of 0 in phi2 2.013 * [taylor]: Taking taylor expansion of 0 in phi2 2.018 * [taylor]: Taking taylor expansion of 0 in phi2 2.018 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 2.018 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 2.018 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 2.018 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.018 * [taylor]: Taking taylor expansion of -1 in phi2 2.018 * [taylor]: Taking taylor expansion of phi1 in phi2 2.018 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 2.018 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.018 * [taylor]: Taking taylor expansion of -1 in phi2 2.018 * [taylor]: Taking taylor expansion of phi2 in phi2 2.019 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 2.019 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 2.019 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.019 * [taylor]: Taking taylor expansion of -1 in phi1 2.019 * [taylor]: Taking taylor expansion of phi1 in phi1 2.019 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 2.019 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.019 * [taylor]: Taking taylor expansion of -1 in phi1 2.019 * [taylor]: Taking taylor expansion of phi2 in phi1 2.019 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 2.019 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 2.019 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.019 * [taylor]: Taking taylor expansion of -1 in phi1 2.019 * [taylor]: Taking taylor expansion of phi1 in phi1 2.020 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 2.020 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.020 * [taylor]: Taking taylor expansion of -1 in phi1 2.020 * [taylor]: Taking taylor expansion of phi2 in phi1 2.020 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 2.020 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 2.020 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.020 * [taylor]: Taking taylor expansion of -1 in phi2 2.020 * [taylor]: Taking taylor expansion of phi1 in phi2 2.020 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 2.020 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.020 * [taylor]: Taking taylor expansion of -1 in phi2 2.020 * [taylor]: Taking taylor expansion of phi2 in phi2 2.022 * [taylor]: Taking taylor expansion of 0 in phi2 2.026 * [taylor]: Taking taylor expansion of 0 in phi2 2.032 * [taylor]: Taking taylor expansion of 0 in phi2 2.032 * * * [progress]: simplifying candidates 2.033 * [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) (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))) (- (cos (- lambda1 (- lambda2))) (cos (+ lambda1 (- lambda2)))))) (* 2 2) (* (+ (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 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 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))) (- (cos (- lambda1 (- lambda2))) (cos (+ lambda1 (- 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))))) (- (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)) (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 phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) (* (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 phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) (- 1 (+ (* 1/2 (pow phi1 2)) (* 1/2 (pow phi2 2)))) (* (cos phi1) (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) (* (cos phi1) (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (* -1 lambda2)))) (cos phi2))) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 2.040 * * [simplify]: iteration 0 : 195 enodes (cost 2211 ) 2.076 * * [simplify]: iteration 1 : 496 enodes (cost 2178 ) 2.188 * * [simplify]: iteration 2 : 1873 enodes (cost 1781 ) 2.824 * * [simplify]: iteration done : 5000 enodes (cost 1779 ) 2.824 * [simplify]: Simplified to: (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (log (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (log (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (pow (exp R) (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (pow (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) 3) (* (cbrt (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (cbrt (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))))) (cbrt (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (pow (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) 3) (sqrt (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (sqrt (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (sqrt R)) (* (* (cbrt R) (cbrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (* (sqrt R) (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) R) (* R (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)) (log (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))) (log (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))) (log (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))) (pow (exp (* (cos phi1) (cos phi2))) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (pow (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)) 3) (pow (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)) 3) (* (cbrt (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))) (cbrt (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))) (cbrt (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))) (pow (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)) 3) (sqrt (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))) (sqrt (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (cos (+ lambda1 lambda2)) (- (cos (- lambda1 lambda2)) (- (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2)))))) 4 (* (* 2 (+ (cos (+ lambda1 lambda2)) (- (cos (- lambda1 lambda2)) (- (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2)))))) (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2)))) 8 (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (- (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin (- lambda2))) 3))) (* 2 (+ (* (* (sin lambda1) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (sin (- lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (sin lambda1) (* (* (sin lambda2) (sin lambda2)) (sin lambda1))))) (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) 2) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))) (* (* (cos phi1) (cos phi2)) (* (cbrt (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cbrt (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))) (* (sqrt (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (* (+ (cos (+ lambda1 lambda2)) (- (cos (- lambda1 lambda2)) (- (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))))) (* (cos phi1) (cos phi2))) (* (* (cos phi1) (cos phi2)) (* 2 (+ (cos (+ lambda1 lambda2)) (- (cos (- lambda1 lambda2)) (- (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))))))) (* (* (cos phi1) (cos phi2)) (- (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin (- lambda2))) 3))) (* (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (sin lambda1) (* (* (sin lambda2) (sin lambda2)) (sin lambda1)))) (* (cos phi1) (cos phi2))) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2)))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (- 1 (* 1/2 (+ (pow phi1 2) (pow phi2 2)))) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 2.825 * * * [progress]: adding candidates to table 3.244 * * [progress]: iteration 3 / 4 3.244 * * * [progress]: picking best candidate 3.347 * * * * [pick]: Picked # 3.347 * * * [progress]: localizing error 3.382 * * * [progress]: generating rewritten candidates 3.382 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 3.383 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 3.384 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 3.392 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 3.396 * * * [progress]: generating series expansions 3.396 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 3.397 * [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 3.397 * [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 3.397 * [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 3.397 * [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 3.398 * [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 3.398 * [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 3.399 * [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 3.399 * [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 3.399 * [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 3.400 * [taylor]: Taking taylor expansion of 0 in phi2 3.400 * [taylor]: Taking taylor expansion of 0 in lambda1 3.400 * [taylor]: Taking taylor expansion of 0 in lambda2 3.400 * [taylor]: Taking taylor expansion of 0 in lambda1 3.400 * [taylor]: Taking taylor expansion of 0 in lambda2 3.400 * [taylor]: Taking taylor expansion of 0 in lambda2 3.400 * [taylor]: Taking taylor expansion of 0 in phi2 3.400 * [taylor]: Taking taylor expansion of 0 in lambda1 3.400 * [taylor]: Taking taylor expansion of 0 in lambda2 3.400 * [taylor]: Taking taylor expansion of 0 in lambda1 3.400 * [taylor]: Taking taylor expansion of 0 in lambda2 3.401 * [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 3.401 * [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 3.402 * [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 3.402 * [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 3.403 * [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 3.403 * [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 3.404 * [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 3.404 * [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 3.405 * [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 3.406 * [taylor]: Taking taylor expansion of 0 in phi2 3.406 * [taylor]: Taking taylor expansion of 0 in lambda1 3.406 * [taylor]: Taking taylor expansion of 0 in lambda2 3.406 * [taylor]: Taking taylor expansion of 0 in lambda1 3.406 * [taylor]: Taking taylor expansion of 0 in lambda2 3.406 * [taylor]: Taking taylor expansion of 0 in lambda2 3.406 * [taylor]: Taking taylor expansion of 0 in phi2 3.406 * [taylor]: Taking taylor expansion of 0 in lambda1 3.406 * [taylor]: Taking taylor expansion of 0 in lambda2 3.406 * [taylor]: Taking taylor expansion of 0 in lambda1 3.406 * [taylor]: Taking taylor expansion of 0 in lambda2 3.407 * [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 3.407 * [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 3.408 * [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 3.408 * [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 3.409 * [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 3.409 * [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 3.410 * [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 3.410 * [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 3.411 * [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 3.412 * [taylor]: Taking taylor expansion of 0 in phi2 3.412 * [taylor]: Taking taylor expansion of 0 in lambda1 3.412 * [taylor]: Taking taylor expansion of 0 in lambda2 3.412 * [taylor]: Taking taylor expansion of 0 in lambda1 3.412 * [taylor]: Taking taylor expansion of 0 in lambda2 3.412 * [taylor]: Taking taylor expansion of 0 in lambda2 3.412 * [taylor]: Taking taylor expansion of 0 in phi2 3.412 * [taylor]: Taking taylor expansion of 0 in lambda1 3.412 * [taylor]: Taking taylor expansion of 0 in lambda2 3.412 * [taylor]: Taking taylor expansion of 0 in lambda1 3.412 * [taylor]: Taking taylor expansion of 0 in lambda2 3.413 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 3.413 * [approximate]: Taking taylor expansion of (log (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 3.413 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2 3.413 * [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 3.414 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1 3.414 * [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 3.415 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2 3.415 * [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 3.415 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1 3.415 * [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 3.416 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1 3.416 * [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 3.417 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2 3.417 * [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 3.418 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1 3.418 * [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 3.418 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2 3.418 * [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 3.421 * [taylor]: Taking taylor expansion of 0 in phi2 3.421 * [taylor]: Taking taylor expansion of 0 in lambda1 3.421 * [taylor]: Taking taylor expansion of 0 in lambda2 3.422 * [taylor]: Taking taylor expansion of 0 in lambda1 3.422 * [taylor]: Taking taylor expansion of 0 in lambda2 3.423 * [taylor]: Taking taylor expansion of 0 in lambda2 3.426 * [taylor]: Taking taylor expansion of 0 in phi2 3.426 * [taylor]: Taking taylor expansion of 0 in lambda1 3.426 * [taylor]: Taking taylor expansion of 0 in lambda2 3.426 * [taylor]: Taking taylor expansion of 0 in lambda1 3.426 * [taylor]: Taking taylor expansion of 0 in lambda2 3.427 * [approximate]: Taking taylor expansion of (log (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 3.427 * [taylor]: Taking taylor expansion of (log (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 3.427 * [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 3.428 * [taylor]: Taking taylor expansion of (log (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 3.428 * [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 3.429 * [taylor]: Taking taylor expansion of (log (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 3.429 * [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 3.430 * [taylor]: Taking taylor expansion of (log (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 3.430 * [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 3.431 * [taylor]: Taking taylor expansion of (log (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 3.431 * [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 3.432 * [taylor]: Taking taylor expansion of (log (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 3.432 * [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 3.433 * [taylor]: Taking taylor expansion of (log (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 3.433 * [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 3.434 * [taylor]: Taking taylor expansion of (log (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 3.434 * [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 3.437 * [taylor]: Taking taylor expansion of 0 in phi2 3.437 * [taylor]: Taking taylor expansion of 0 in lambda1 3.437 * [taylor]: Taking taylor expansion of 0 in lambda2 3.438 * [taylor]: Taking taylor expansion of 0 in lambda1 3.438 * [taylor]: Taking taylor expansion of 0 in lambda2 3.439 * [taylor]: Taking taylor expansion of 0 in lambda2 3.442 * [taylor]: Taking taylor expansion of 0 in phi2 3.442 * [taylor]: Taking taylor expansion of 0 in lambda1 3.442 * [taylor]: Taking taylor expansion of 0 in lambda2 3.442 * [taylor]: Taking taylor expansion of 0 in lambda1 3.442 * [taylor]: Taking taylor expansion of 0 in lambda2 3.443 * [approximate]: Taking taylor expansion of (log (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 3.443 * [taylor]: Taking taylor expansion of (log (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 3.443 * [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 3.444 * [taylor]: Taking taylor expansion of (log (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 3.444 * [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 3.445 * [taylor]: Taking taylor expansion of (log (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 3.445 * [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 3.446 * [taylor]: Taking taylor expansion of (log (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 3.446 * [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 3.447 * [taylor]: Taking taylor expansion of (log (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 3.447 * [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 3.448 * [taylor]: Taking taylor expansion of (log (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 3.448 * [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 3.449 * [taylor]: Taking taylor expansion of (log (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 3.449 * [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 3.450 * [taylor]: Taking taylor expansion of (log (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 3.450 * [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 3.453 * [taylor]: Taking taylor expansion of 0 in phi2 3.453 * [taylor]: Taking taylor expansion of 0 in lambda1 3.453 * [taylor]: Taking taylor expansion of 0 in lambda2 3.454 * [taylor]: Taking taylor expansion of 0 in lambda1 3.455 * [taylor]: Taking taylor expansion of 0 in lambda2 3.456 * [taylor]: Taking taylor expansion of 0 in lambda2 3.459 * [taylor]: Taking taylor expansion of 0 in phi2 3.459 * [taylor]: Taking taylor expansion of 0 in lambda1 3.459 * [taylor]: Taking taylor expansion of 0 in lambda2 3.459 * [taylor]: Taking taylor expansion of 0 in lambda1 3.459 * [taylor]: Taking taylor expansion of 0 in lambda2 3.460 * * * * [progress]: [ 3 / 4 ] generating series at (2) 3.460 * [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 3.460 * [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 3.460 * [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 3.460 * [taylor]: Taking taylor expansion of R in R 3.461 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2 3.461 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 3.461 * [taylor]: Taking taylor expansion of R in lambda2 3.461 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1 3.461 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 3.461 * [taylor]: Taking taylor expansion of R in lambda1 3.461 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2 3.461 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 3.462 * [taylor]: Taking taylor expansion of R in phi2 3.462 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1 3.462 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 3.462 * [taylor]: Taking taylor expansion of R in phi1 3.462 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1 3.462 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 3.462 * [taylor]: Taking taylor expansion of R in phi1 3.463 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2 3.463 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 3.463 * [taylor]: Taking taylor expansion of R in phi2 3.464 * [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 3.464 * [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 3.464 * [taylor]: Taking taylor expansion of R in lambda1 3.464 * [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 3.464 * [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 3.465 * [taylor]: Taking taylor expansion of R in lambda2 3.465 * [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 3.465 * [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 3.466 * [taylor]: Taking taylor expansion of R in R 3.466 * [taylor]: Taking taylor expansion of 0 in phi2 3.466 * [taylor]: Taking taylor expansion of 0 in lambda1 3.466 * [taylor]: Taking taylor expansion of 0 in lambda2 3.466 * [taylor]: Taking taylor expansion of 0 in R 3.467 * [taylor]: Taking taylor expansion of 0 in lambda1 3.467 * [taylor]: Taking taylor expansion of 0 in lambda2 3.467 * [taylor]: Taking taylor expansion of 0 in R 3.467 * [taylor]: Taking taylor expansion of 0 in lambda2 3.467 * [taylor]: Taking taylor expansion of 0 in R 3.468 * [taylor]: Taking taylor expansion of 0 in R 3.470 * [taylor]: Taking taylor expansion of 0 in phi2 3.470 * [taylor]: Taking taylor expansion of 0 in lambda1 3.470 * [taylor]: Taking taylor expansion of 0 in lambda2 3.470 * [taylor]: Taking taylor expansion of 0 in R 3.470 * [taylor]: Taking taylor expansion of 0 in lambda1 3.470 * [taylor]: Taking taylor expansion of 0 in lambda2 3.470 * [taylor]: Taking taylor expansion of 0 in R 3.470 * [taylor]: Taking taylor expansion of 0 in lambda1 3.470 * [taylor]: Taking taylor expansion of 0 in lambda2 3.471 * [taylor]: Taking taylor expansion of 0 in R 3.471 * [taylor]: Taking taylor expansion of 0 in lambda2 3.471 * [taylor]: Taking taylor expansion of 0 in R 3.471 * [taylor]: Taking taylor expansion of 0 in lambda2 3.471 * [taylor]: Taking taylor expansion of 0 in R 3.471 * [taylor]: Taking taylor expansion of 0 in lambda2 3.471 * [taylor]: Taking taylor expansion of 0 in R 3.475 * [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 3.475 * [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 3.475 * [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 3.476 * [taylor]: Taking taylor expansion of R in R 3.476 * [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 3.476 * [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 3.477 * [taylor]: Taking taylor expansion of R in lambda2 3.477 * [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 3.477 * [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 3.478 * [taylor]: Taking taylor expansion of R in lambda1 3.478 * [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 3.478 * [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 3.479 * [taylor]: Taking taylor expansion of R in phi2 3.479 * [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 3.479 * [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 3.480 * [taylor]: Taking taylor expansion of R in phi1 3.480 * [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 3.480 * [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 3.481 * [taylor]: Taking taylor expansion of R in phi1 3.481 * [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 3.481 * [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 3.482 * [taylor]: Taking taylor expansion of R in phi2 3.482 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 3.482 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 3.483 * [taylor]: Taking taylor expansion of R in lambda1 3.483 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 3.483 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 3.484 * [taylor]: Taking taylor expansion of R in lambda2 3.484 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 3.484 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 3.485 * [taylor]: Taking taylor expansion of R in R 3.487 * [taylor]: Taking taylor expansion of 0 in phi2 3.487 * [taylor]: Taking taylor expansion of 0 in lambda1 3.487 * [taylor]: Taking taylor expansion of 0 in lambda2 3.487 * [taylor]: Taking taylor expansion of 0 in R 3.487 * [taylor]: Taking taylor expansion of 0 in lambda1 3.487 * [taylor]: Taking taylor expansion of 0 in lambda2 3.487 * [taylor]: Taking taylor expansion of 0 in R 3.488 * [taylor]: Taking taylor expansion of 0 in lambda2 3.488 * [taylor]: Taking taylor expansion of 0 in R 3.488 * [taylor]: Taking taylor expansion of 0 in R 3.490 * [taylor]: Taking taylor expansion of 0 in phi2 3.490 * [taylor]: Taking taylor expansion of 0 in lambda1 3.490 * [taylor]: Taking taylor expansion of 0 in lambda2 3.490 * [taylor]: Taking taylor expansion of 0 in R 3.490 * [taylor]: Taking taylor expansion of 0 in lambda1 3.490 * [taylor]: Taking taylor expansion of 0 in lambda2 3.490 * [taylor]: Taking taylor expansion of 0 in R 3.491 * [taylor]: Taking taylor expansion of 0 in lambda1 3.491 * [taylor]: Taking taylor expansion of 0 in lambda2 3.491 * [taylor]: Taking taylor expansion of 0 in R 3.491 * [taylor]: Taking taylor expansion of 0 in lambda2 3.491 * [taylor]: Taking taylor expansion of 0 in R 3.491 * [taylor]: Taking taylor expansion of 0 in lambda2 3.491 * [taylor]: Taking taylor expansion of 0 in R 3.492 * [taylor]: Taking taylor expansion of 0 in lambda2 3.492 * [taylor]: Taking taylor expansion of 0 in R 3.492 * [taylor]: Taking taylor expansion of 0 in R 3.492 * [taylor]: Taking taylor expansion of 0 in R 3.492 * [taylor]: Taking taylor expansion of 0 in R 3.493 * [taylor]: Taking taylor expansion of 0 in R 3.496 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 3.496 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 3.496 * [taylor]: Taking taylor expansion of -1 in R 3.496 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 3.496 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 3.496 * [taylor]: Taking taylor expansion of R in R 3.497 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 3.497 * [taylor]: Taking taylor expansion of -1 in lambda2 3.497 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 3.497 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 3.497 * [taylor]: Taking taylor expansion of R in lambda2 3.498 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 3.498 * [taylor]: Taking taylor expansion of -1 in lambda1 3.498 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 3.498 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 3.498 * [taylor]: Taking taylor expansion of R in lambda1 3.499 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 3.499 * [taylor]: Taking taylor expansion of -1 in phi2 3.499 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 3.499 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 3.500 * [taylor]: Taking taylor expansion of R in phi2 3.500 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 3.500 * [taylor]: Taking taylor expansion of -1 in phi1 3.500 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 3.500 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 3.501 * [taylor]: Taking taylor expansion of R in phi1 3.501 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 3.501 * [taylor]: Taking taylor expansion of -1 in phi1 3.501 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 3.501 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 3.502 * [taylor]: Taking taylor expansion of R in phi1 3.503 * [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 3.503 * [taylor]: Taking taylor expansion of -1 in phi2 3.503 * [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 3.503 * [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 3.503 * [taylor]: Taking taylor expansion of R in phi2 3.505 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 3.505 * [taylor]: Taking taylor expansion of -1 in lambda1 3.505 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 3.505 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 3.505 * [taylor]: Taking taylor expansion of R in lambda1 3.506 * [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 3.506 * [taylor]: Taking taylor expansion of -1 in lambda2 3.506 * [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 3.506 * [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 3.507 * [taylor]: Taking taylor expansion of R in lambda2 3.508 * [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 3.508 * [taylor]: Taking taylor expansion of -1 in R 3.508 * [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 3.508 * [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 3.508 * [taylor]: Taking taylor expansion of R in R 3.511 * [taylor]: Taking taylor expansion of 0 in phi2 3.512 * [taylor]: Taking taylor expansion of 0 in lambda1 3.512 * [taylor]: Taking taylor expansion of 0 in lambda2 3.512 * [taylor]: Taking taylor expansion of 0 in R 3.513 * [taylor]: Taking taylor expansion of 0 in lambda1 3.513 * [taylor]: Taking taylor expansion of 0 in lambda2 3.513 * [taylor]: Taking taylor expansion of 0 in R 3.514 * [taylor]: Taking taylor expansion of 0 in lambda2 3.515 * [taylor]: Taking taylor expansion of 0 in R 3.516 * [taylor]: Taking taylor expansion of 0 in R 3.519 * [taylor]: Taking taylor expansion of 0 in phi2 3.520 * [taylor]: Taking taylor expansion of 0 in lambda1 3.520 * [taylor]: Taking taylor expansion of 0 in lambda2 3.520 * [taylor]: Taking taylor expansion of 0 in R 3.520 * [taylor]: Taking taylor expansion of 0 in lambda1 3.520 * [taylor]: Taking taylor expansion of 0 in lambda2 3.520 * [taylor]: Taking taylor expansion of 0 in R 3.521 * [taylor]: Taking taylor expansion of 0 in lambda1 3.521 * [taylor]: Taking taylor expansion of 0 in lambda2 3.521 * [taylor]: Taking taylor expansion of 0 in R 3.521 * [taylor]: Taking taylor expansion of 0 in lambda2 3.521 * [taylor]: Taking taylor expansion of 0 in R 3.521 * [taylor]: Taking taylor expansion of 0 in lambda2 3.521 * [taylor]: Taking taylor expansion of 0 in R 3.523 * [taylor]: Taking taylor expansion of 0 in lambda2 3.523 * [taylor]: Taking taylor expansion of 0 in R 3.523 * [taylor]: Taking taylor expansion of 0 in R 3.523 * [taylor]: Taking taylor expansion of 0 in R 3.523 * [taylor]: Taking taylor expansion of 0 in R 3.525 * [taylor]: Taking taylor expansion of 0 in R 3.529 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 3.529 * [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 3.529 * [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 3.529 * [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 3.530 * [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 3.530 * [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 3.530 * [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 3.531 * [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 3.531 * [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 3.532 * [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 3.532 * [taylor]: Taking taylor expansion of 0 in phi2 3.532 * [taylor]: Taking taylor expansion of 0 in lambda1 3.532 * [taylor]: Taking taylor expansion of 0 in lambda2 3.532 * [taylor]: Taking taylor expansion of 0 in lambda1 3.532 * [taylor]: Taking taylor expansion of 0 in lambda2 3.533 * [taylor]: Taking taylor expansion of 0 in lambda2 3.533 * [taylor]: Taking taylor expansion of 0 in phi2 3.533 * [taylor]: Taking taylor expansion of 0 in lambda1 3.533 * [taylor]: Taking taylor expansion of 0 in lambda2 3.533 * [taylor]: Taking taylor expansion of 0 in lambda1 3.533 * [taylor]: Taking taylor expansion of 0 in lambda2 3.534 * [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 3.534 * [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 3.534 * [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 3.535 * [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 3.535 * [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 3.536 * [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 3.536 * [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 3.537 * [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 3.537 * [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 3.538 * [taylor]: Taking taylor expansion of 0 in phi2 3.538 * [taylor]: Taking taylor expansion of 0 in lambda1 3.538 * [taylor]: Taking taylor expansion of 0 in lambda2 3.538 * [taylor]: Taking taylor expansion of 0 in lambda1 3.538 * [taylor]: Taking taylor expansion of 0 in lambda2 3.538 * [taylor]: Taking taylor expansion of 0 in lambda2 3.538 * [taylor]: Taking taylor expansion of 0 in phi2 3.538 * [taylor]: Taking taylor expansion of 0 in lambda1 3.538 * [taylor]: Taking taylor expansion of 0 in lambda2 3.538 * [taylor]: Taking taylor expansion of 0 in lambda1 3.538 * [taylor]: Taking taylor expansion of 0 in lambda2 3.539 * [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 3.540 * [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 3.540 * [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 3.540 * [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 3.541 * [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 3.541 * [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 3.542 * [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 3.542 * [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 3.543 * [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 3.544 * [taylor]: Taking taylor expansion of 0 in phi2 3.544 * [taylor]: Taking taylor expansion of 0 in lambda1 3.544 * [taylor]: Taking taylor expansion of 0 in lambda2 3.544 * [taylor]: Taking taylor expansion of 0 in lambda1 3.544 * [taylor]: Taking taylor expansion of 0 in lambda2 3.544 * [taylor]: Taking taylor expansion of 0 in lambda2 3.544 * [taylor]: Taking taylor expansion of 0 in phi2 3.544 * [taylor]: Taking taylor expansion of 0 in lambda1 3.544 * [taylor]: Taking taylor expansion of 0 in lambda2 3.544 * [taylor]: Taking taylor expansion of 0 in lambda1 3.544 * [taylor]: Taking taylor expansion of 0 in lambda2 3.545 * * * [progress]: simplifying candidates 3.546 * [simplify]: Simplifying using # : (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (log (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))))) (log (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (log 1) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (log (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (* (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))))) (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (* (* (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (sqrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (sqrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (log R)) (log (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) R)) (exp (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) R)) (* (* (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))))) (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))))) (* (* R R) R)) (* (cbrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) R)) (cbrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) R))) (cbrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) R)) (* (* (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) R) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) R)) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) R)) (sqrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) R)) (sqrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) R)) (* (exp (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))))) (sqrt R)) (* (exp (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))))) (sqrt R)) (* (sqrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))))) (sqrt R)) (* (sqrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))))) (sqrt R)) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (* (cbrt R) (cbrt R))) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (sqrt R)) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) 1) (* (exp (log (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))))) R) (* (exp (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))))) R) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) R) (* (cbrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))))) R) (* (sqrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))))) R) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) R) (exp 1) (exp (* (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))))) (exp (sqrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))))) (exp 1) (exp (log (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))))) (exp (log (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))))) (exp (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))))) (exp (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))))) (exp (log 1)) (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (log (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))))) (exp (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))))) (* (cbrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))))) (cbrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))))) (cbrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))))) (* (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))))) (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))))) (sqrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))))) (sqrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))))) (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))))) (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) (log (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) (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))))) 3.553 * * [simplify]: iteration 0 : 99 enodes (cost 2419 ) 3.567 * * [simplify]: iteration 1 : 170 enodes (cost 2325 ) 3.591 * * [simplify]: iteration 2 : 380 enodes (cost 1985 ) 3.676 * * [simplify]: iteration 3 : 659 enodes (cost 1913 ) 3.895 * * [simplify]: iteration 4 : 1062 enodes (cost 1907 ) 4.599 * * [simplify]: iteration 5 : 2458 enodes (cost 1907 ) 10.611 * * [simplify]: iteration done : 5000 enodes (cost 1907 ) 10.612 * [simplify]: Simplified to: (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (pow (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) 2) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos 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(+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (sqrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (log (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (log (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (pow (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) R) (pow (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) 3) (* (cbrt (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (cbrt (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))))) (cbrt (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (pow (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) 3) (sqrt (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (sqrt (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (sqrt R)) (* (* (cbrt R) (cbrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (* (sqrt R) (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))) (* R (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin 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phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))))) (exp (sqrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))))) E (pow (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) 2) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) 1 (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (pow (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) 2) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))) 10.612 * * * [progress]: adding candidates to table 10.884 * * [progress]: iteration 4 / 4 10.884 * * * [progress]: picking best candidate 10.992 * * * * [pick]: Picked # 10.992 * * * [progress]: localizing error 11.030 * * * [progress]: generating rewritten candidates 11.030 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 11.031 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 11.032 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 11.034 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 11.041 * * * [progress]: generating series expansions 11.041 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 11.041 * [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 11.041 * [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 11.042 * [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 11.042 * [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 11.042 * [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 11.043 * [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 11.043 * [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 11.043 * [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 11.044 * [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 11.045 * [taylor]: Taking taylor expansion of 0 in phi2 11.045 * [taylor]: Taking taylor expansion of 0 in lambda1 11.045 * [taylor]: Taking taylor expansion of 0 in lambda2 11.045 * [taylor]: Taking taylor expansion of 0 in lambda1 11.045 * [taylor]: Taking taylor expansion of 0 in lambda2 11.045 * [taylor]: Taking taylor expansion of 0 in lambda2 11.045 * [taylor]: Taking taylor expansion of 0 in phi2 11.045 * [taylor]: Taking taylor expansion of 0 in lambda1 11.045 * [taylor]: Taking taylor expansion of 0 in lambda2 11.045 * [taylor]: Taking taylor expansion of 0 in lambda1 11.045 * [taylor]: Taking taylor expansion of 0 in lambda2 11.046 * [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 11.046 * [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 11.046 * [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 11.047 * [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 11.047 * [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 11.048 * [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 11.048 * [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 11.049 * [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 11.049 * [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 11.050 * [taylor]: Taking taylor expansion of 0 in phi2 11.050 * [taylor]: Taking taylor expansion of 0 in lambda1 11.050 * [taylor]: Taking taylor expansion of 0 in lambda2 11.050 * [taylor]: Taking taylor expansion of 0 in lambda1 11.050 * [taylor]: Taking taylor expansion of 0 in lambda2 11.050 * [taylor]: Taking taylor expansion of 0 in lambda2 11.050 * [taylor]: Taking taylor expansion of 0 in phi2 11.050 * [taylor]: Taking taylor expansion of 0 in lambda1 11.050 * [taylor]: Taking taylor expansion of 0 in lambda2 11.050 * [taylor]: Taking taylor expansion of 0 in lambda1 11.050 * [taylor]: Taking taylor expansion of 0 in lambda2 11.051 * [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 11.051 * [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 11.052 * [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 11.053 * [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 11.053 * [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 11.054 * [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 11.054 * [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 11.055 * [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 11.055 * [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 11.056 * [taylor]: Taking taylor expansion of 0 in phi2 11.056 * [taylor]: Taking taylor expansion of 0 in lambda1 11.056 * [taylor]: Taking taylor expansion of 0 in lambda2 11.056 * [taylor]: Taking taylor expansion of 0 in lambda1 11.056 * [taylor]: Taking taylor expansion of 0 in lambda2 11.056 * [taylor]: Taking taylor expansion of 0 in lambda2 11.056 * [taylor]: Taking taylor expansion of 0 in phi2 11.056 * [taylor]: Taking taylor expansion of 0 in lambda1 11.056 * [taylor]: Taking taylor expansion of 0 in lambda2 11.057 * [taylor]: Taking taylor expansion of 0 in lambda1 11.057 * [taylor]: Taking taylor expansion of 0 in lambda2 11.057 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 11.058 * [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 11.058 * [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 11.058 * [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 11.059 * [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 11.059 * [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 11.059 * [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 11.060 * [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 11.060 * [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 11.060 * [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 11.061 * [taylor]: Taking taylor expansion of 0 in phi2 11.061 * [taylor]: Taking taylor expansion of 0 in lambda1 11.061 * [taylor]: Taking taylor expansion of 0 in lambda2 11.061 * [taylor]: Taking taylor expansion of 0 in lambda1 11.061 * [taylor]: Taking taylor expansion of 0 in lambda2 11.061 * [taylor]: Taking taylor expansion of 0 in lambda2 11.061 * [taylor]: Taking taylor expansion of 0 in phi2 11.061 * [taylor]: Taking taylor expansion of 0 in lambda1 11.061 * [taylor]: Taking taylor expansion of 0 in lambda2 11.061 * [taylor]: Taking taylor expansion of 0 in lambda1 11.061 * [taylor]: Taking taylor expansion of 0 in lambda2 11.062 * [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 11.062 * [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 11.063 * [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 11.063 * [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 11.064 * [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 11.064 * [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 11.065 * [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 11.065 * [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 11.066 * [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 11.067 * [taylor]: Taking taylor expansion of 0 in phi2 11.067 * [taylor]: Taking taylor expansion of 0 in lambda1 11.067 * [taylor]: Taking taylor expansion of 0 in lambda2 11.067 * [taylor]: Taking taylor expansion of 0 in lambda1 11.067 * [taylor]: Taking taylor expansion of 0 in lambda2 11.067 * [taylor]: Taking taylor expansion of 0 in lambda2 11.067 * [taylor]: Taking taylor expansion of 0 in phi2 11.067 * [taylor]: Taking taylor expansion of 0 in lambda1 11.067 * [taylor]: Taking taylor expansion of 0 in lambda2 11.067 * [taylor]: Taking taylor expansion of 0 in lambda1 11.067 * [taylor]: Taking taylor expansion of 0 in lambda2 11.068 * [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 11.068 * [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 11.069 * [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 11.069 * [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 11.070 * [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 11.070 * [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 11.071 * [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 11.072 * [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 11.072 * [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 11.073 * [taylor]: Taking taylor expansion of 0 in phi2 11.073 * [taylor]: Taking taylor expansion of 0 in lambda1 11.073 * [taylor]: Taking taylor expansion of 0 in lambda2 11.073 * [taylor]: Taking taylor expansion of 0 in lambda1 11.073 * [taylor]: Taking taylor expansion of 0 in lambda2 11.073 * [taylor]: Taking taylor expansion of 0 in lambda2 11.073 * [taylor]: Taking taylor expansion of 0 in phi2 11.073 * [taylor]: Taking taylor expansion of 0 in lambda1 11.073 * [taylor]: Taking taylor expansion of 0 in lambda2 11.073 * [taylor]: Taking taylor expansion of 0 in lambda1 11.073 * [taylor]: Taking taylor expansion of 0 in lambda2 11.074 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 11.074 * [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 11.075 * [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 11.075 * [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 11.075 * [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 11.075 * [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 11.076 * [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 11.076 * [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 11.077 * [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 11.077 * [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 11.078 * [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 11.078 * [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 11.078 * [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 11.079 * [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 11.079 * [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 11.079 * [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 11.080 * [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 11.080 * [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 11.083 * [taylor]: Taking taylor expansion of 0 in phi2 11.083 * [taylor]: Taking taylor expansion of 0 in lambda1 11.083 * [taylor]: Taking taylor expansion of 0 in lambda2 11.084 * [taylor]: Taking taylor expansion of 0 in lambda1 11.084 * [taylor]: Taking taylor expansion of 0 in lambda2 11.084 * [taylor]: Taking taylor expansion of 0 in lambda2 11.086 * [taylor]: Taking taylor expansion of 0 in phi2 11.086 * [taylor]: Taking taylor expansion of 0 in lambda1 11.086 * [taylor]: Taking taylor expansion of 0 in lambda2 11.086 * [taylor]: Taking taylor expansion of 0 in lambda1 11.086 * [taylor]: Taking taylor expansion of 0 in lambda2 11.087 * [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 11.087 * [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 11.087 * [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 11.088 * [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 11.088 * [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 11.089 * [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 11.089 * [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 11.090 * [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 11.090 * [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 11.091 * [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 11.091 * [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 11.092 * [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 11.092 * [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 11.093 * [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 11.093 * [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 11.094 * [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 11.094 * [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 11.097 * [taylor]: Taking taylor expansion of 0 in phi2 11.097 * [taylor]: Taking taylor expansion of 0 in lambda1 11.097 * [taylor]: Taking taylor expansion of 0 in lambda2 11.098 * [taylor]: Taking taylor expansion of 0 in lambda1 11.098 * [taylor]: Taking taylor expansion of 0 in lambda2 11.099 * [taylor]: Taking taylor expansion of 0 in lambda2 11.104 * [taylor]: Taking taylor expansion of 0 in phi2 11.104 * [taylor]: Taking taylor expansion of 0 in lambda1 11.104 * [taylor]: Taking taylor expansion of 0 in lambda2 11.105 * [taylor]: Taking taylor expansion of 0 in lambda1 11.105 * [taylor]: Taking taylor expansion of 0 in lambda2 11.106 * [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 11.106 * [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 11.106 * [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 11.107 * [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 11.107 * [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 11.108 * [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 11.108 * [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 11.109 * [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 11.109 * [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 11.110 * [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 11.110 * [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 11.111 * [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 11.111 * [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 11.112 * [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 11.112 * [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 11.113 * [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 11.113 * [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 11.116 * [taylor]: Taking taylor expansion of 0 in phi2 11.116 * [taylor]: Taking taylor expansion of 0 in lambda1 11.116 * [taylor]: Taking taylor expansion of 0 in lambda2 11.117 * [taylor]: Taking taylor expansion of 0 in lambda1 11.117 * [taylor]: Taking taylor expansion of 0 in lambda2 11.118 * [taylor]: Taking taylor expansion of 0 in lambda2 11.120 * [taylor]: Taking taylor expansion of 0 in phi2 11.120 * [taylor]: Taking taylor expansion of 0 in lambda1 11.120 * [taylor]: Taking taylor expansion of 0 in lambda2 11.120 * [taylor]: Taking taylor expansion of 0 in lambda1 11.120 * [taylor]: Taking taylor expansion of 0 in lambda2 11.121 * * * * [progress]: [ 4 / 4 ] generating series at (2) 11.121 * [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 11.121 * [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 11.121 * [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 11.122 * [taylor]: Taking taylor expansion of R in R 11.122 * [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 11.122 * [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 11.122 * [taylor]: Taking taylor expansion of R in lambda2 11.122 * [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 11.122 * [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 11.123 * [taylor]: Taking taylor expansion of R in lambda1 11.123 * [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 11.123 * [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 11.123 * [taylor]: Taking taylor expansion of R in phi2 11.123 * [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 11.123 * [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 11.123 * [taylor]: Taking taylor expansion of R in phi1 11.123 * [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 11.123 * [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 11.124 * [taylor]: Taking taylor expansion of R in phi1 11.124 * [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 11.124 * [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 11.125 * [taylor]: Taking taylor expansion of R in phi2 11.125 * [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 11.125 * [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 11.125 * [taylor]: Taking taylor expansion of R in lambda1 11.126 * [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 11.126 * [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 11.126 * [taylor]: Taking taylor expansion of R in lambda2 11.127 * [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 11.127 * [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 11.127 * [taylor]: Taking taylor expansion of R in R 11.128 * [taylor]: Taking taylor expansion of 0 in phi2 11.128 * [taylor]: Taking taylor expansion of 0 in lambda1 11.128 * [taylor]: Taking taylor expansion of 0 in lambda2 11.128 * [taylor]: Taking taylor expansion of 0 in R 11.128 * [taylor]: Taking taylor expansion of 0 in lambda1 11.128 * [taylor]: Taking taylor expansion of 0 in lambda2 11.128 * [taylor]: Taking taylor expansion of 0 in R 11.129 * [taylor]: Taking taylor expansion of 0 in lambda2 11.129 * [taylor]: Taking taylor expansion of 0 in R 11.129 * [taylor]: Taking taylor expansion of 0 in R 11.131 * [taylor]: Taking taylor expansion of 0 in phi2 11.131 * [taylor]: Taking taylor expansion of 0 in lambda1 11.131 * [taylor]: Taking taylor expansion of 0 in lambda2 11.131 * [taylor]: Taking taylor expansion of 0 in R 11.131 * [taylor]: Taking taylor expansion of 0 in lambda1 11.131 * [taylor]: Taking taylor expansion of 0 in lambda2 11.131 * [taylor]: Taking taylor expansion of 0 in R 11.132 * [taylor]: Taking taylor expansion of 0 in lambda1 11.132 * [taylor]: Taking taylor expansion of 0 in lambda2 11.132 * [taylor]: Taking taylor expansion of 0 in R 11.132 * [taylor]: Taking taylor expansion of 0 in lambda2 11.132 * [taylor]: Taking taylor expansion of 0 in R 11.132 * [taylor]: Taking taylor expansion of 0 in lambda2 11.132 * [taylor]: Taking taylor expansion of 0 in R 11.133 * [taylor]: Taking taylor expansion of 0 in lambda2 11.133 * [taylor]: Taking taylor expansion of 0 in R 11.134 * [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 11.134 * [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 11.134 * [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 11.135 * [taylor]: Taking taylor expansion of R in R 11.135 * [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 11.135 * [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 11.136 * [taylor]: Taking taylor expansion of R in lambda2 11.136 * [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 11.136 * [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 11.137 * [taylor]: Taking taylor expansion of R in lambda1 11.137 * [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 11.137 * [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 11.138 * [taylor]: Taking taylor expansion of R in phi2 11.138 * [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 11.138 * [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 11.139 * [taylor]: Taking taylor expansion of R in phi1 11.139 * [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 11.139 * [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 11.140 * [taylor]: Taking taylor expansion of R in phi1 11.140 * [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 11.140 * [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 11.141 * [taylor]: Taking taylor expansion of R in phi2 11.141 * [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 11.141 * [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 11.142 * [taylor]: Taking taylor expansion of R in lambda1 11.143 * [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 11.143 * [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 11.143 * [taylor]: Taking taylor expansion of R in lambda2 11.144 * [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 11.144 * [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 11.144 * [taylor]: Taking taylor expansion of R in R 11.146 * [taylor]: Taking taylor expansion of 0 in phi2 11.146 * [taylor]: Taking taylor expansion of 0 in lambda1 11.146 * [taylor]: Taking taylor expansion of 0 in lambda2 11.146 * [taylor]: Taking taylor expansion of 0 in R 11.146 * [taylor]: Taking taylor expansion of 0 in lambda1 11.146 * [taylor]: Taking taylor expansion of 0 in lambda2 11.146 * [taylor]: Taking taylor expansion of 0 in R 11.147 * [taylor]: Taking taylor expansion of 0 in lambda2 11.147 * [taylor]: Taking taylor expansion of 0 in R 11.148 * [taylor]: Taking taylor expansion of 0 in R 11.150 * [taylor]: Taking taylor expansion of 0 in phi2 11.150 * [taylor]: Taking taylor expansion of 0 in lambda1 11.150 * [taylor]: Taking taylor expansion of 0 in lambda2 11.150 * [taylor]: Taking taylor expansion of 0 in R 11.150 * [taylor]: Taking taylor expansion of 0 in lambda1 11.150 * [taylor]: Taking taylor expansion of 0 in lambda2 11.150 * [taylor]: Taking taylor expansion of 0 in R 11.150 * [taylor]: Taking taylor expansion of 0 in lambda1 11.150 * [taylor]: Taking taylor expansion of 0 in lambda2 11.150 * [taylor]: Taking taylor expansion of 0 in R 11.150 * [taylor]: Taking taylor expansion of 0 in lambda2 11.150 * [taylor]: Taking taylor expansion of 0 in R 11.151 * [taylor]: Taking taylor expansion of 0 in lambda2 11.151 * [taylor]: Taking taylor expansion of 0 in R 11.151 * [taylor]: Taking taylor expansion of 0 in lambda2 11.151 * [taylor]: Taking taylor expansion of 0 in R 11.151 * [taylor]: Taking taylor expansion of 0 in R 11.151 * [taylor]: Taking taylor expansion of 0 in R 11.151 * [taylor]: Taking taylor expansion of 0 in R 11.152 * [taylor]: Taking taylor expansion of 0 in R 11.155 * [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 11.155 * [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 11.155 * [taylor]: Taking taylor expansion of -1 in R 11.155 * [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 11.155 * [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 11.156 * [taylor]: Taking taylor expansion of R in R 11.156 * [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 11.156 * [taylor]: Taking taylor expansion of -1 in lambda2 11.156 * [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 11.156 * [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 11.157 * [taylor]: Taking taylor expansion of R in lambda2 11.157 * [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 11.157 * [taylor]: Taking taylor expansion of -1 in lambda1 11.157 * [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 11.157 * [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 11.158 * [taylor]: Taking taylor expansion of R in lambda1 11.158 * [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 11.158 * [taylor]: Taking taylor expansion of -1 in phi2 11.158 * [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 11.158 * [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 11.159 * [taylor]: Taking taylor expansion of R in phi2 11.159 * [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 11.159 * [taylor]: Taking taylor expansion of -1 in phi1 11.159 * [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 11.159 * [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 11.160 * [taylor]: Taking taylor expansion of R in phi1 11.160 * [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 11.160 * [taylor]: Taking taylor expansion of -1 in phi1 11.161 * [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 11.161 * [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 11.161 * [taylor]: Taking taylor expansion of R in phi1 11.162 * [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 11.162 * [taylor]: Taking taylor expansion of -1 in phi2 11.162 * [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 11.162 * [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 11.163 * [taylor]: Taking taylor expansion of R in phi2 11.164 * [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 11.164 * [taylor]: Taking taylor expansion of -1 in lambda1 11.164 * [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 11.164 * [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 11.164 * [taylor]: Taking taylor expansion of R in lambda1 11.165 * [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 11.165 * [taylor]: Taking taylor expansion of -1 in lambda2 11.165 * [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 11.165 * [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 11.166 * [taylor]: Taking taylor expansion of R in lambda2 11.167 * [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 11.167 * [taylor]: Taking taylor expansion of -1 in R 11.167 * [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 11.167 * [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 11.168 * [taylor]: Taking taylor expansion of R in R 11.171 * [taylor]: Taking taylor expansion of 0 in phi2 11.171 * [taylor]: Taking taylor expansion of 0 in lambda1 11.171 * [taylor]: Taking taylor expansion of 0 in lambda2 11.171 * [taylor]: Taking taylor expansion of 0 in R 11.172 * [taylor]: Taking taylor expansion of 0 in lambda1 11.172 * [taylor]: Taking taylor expansion of 0 in lambda2 11.172 * [taylor]: Taking taylor expansion of 0 in R 11.174 * [taylor]: Taking taylor expansion of 0 in lambda2 11.174 * [taylor]: Taking taylor expansion of 0 in R 11.175 * [taylor]: Taking taylor expansion of 0 in R 11.179 * [taylor]: Taking taylor expansion of 0 in phi2 11.179 * [taylor]: Taking taylor expansion of 0 in lambda1 11.179 * [taylor]: Taking taylor expansion of 0 in lambda2 11.179 * [taylor]: Taking taylor expansion of 0 in R 11.179 * [taylor]: Taking taylor expansion of 0 in lambda1 11.179 * [taylor]: Taking taylor expansion of 0 in lambda2 11.179 * [taylor]: Taking taylor expansion of 0 in R 11.181 * [taylor]: Taking taylor expansion of 0 in lambda1 11.181 * [taylor]: Taking taylor expansion of 0 in lambda2 11.181 * [taylor]: Taking taylor expansion of 0 in R 11.181 * [taylor]: Taking taylor expansion of 0 in lambda2 11.181 * [taylor]: Taking taylor expansion of 0 in R 11.181 * [taylor]: Taking taylor expansion of 0 in lambda2 11.181 * [taylor]: Taking taylor expansion of 0 in R 11.184 * [taylor]: Taking taylor expansion of 0 in lambda2 11.184 * [taylor]: Taking taylor expansion of 0 in R 11.185 * [taylor]: Taking taylor expansion of 0 in R 11.185 * [taylor]: Taking taylor expansion of 0 in R 11.185 * [taylor]: Taking taylor expansion of 0 in R 11.186 * [taylor]: Taking taylor expansion of 0 in R 11.190 * * * [progress]: simplifying candidates 11.191 * [simplify]: Simplifying using # : (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (log (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))))) (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))))) (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))))) (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))))) (log 1) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (log (exp (/ PI 2))) (log (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (log (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))))) (log (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))))) (log (exp 1)) (log (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))))) (exp (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))))) (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))))) (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))))) (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))))) (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))))) (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))))) (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))))) (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))))) (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (exp 1) (exp (/ PI 2)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (exp (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (* (* (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) R) (+ (log (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))))) (log R)) (log (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) R)) (exp (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) R)) (* (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))))) (* (* R R) R)) (* (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) R)) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) R))) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) R)) (* (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) R) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) R)) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) R)) (sqrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) R)) (sqrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) R)) (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos 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(cos phi2)) (cos phi1))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))))) R) (* (log (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))))) R) (* (log (exp 1)) R) (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))))) R) (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))))) R) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) R) (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))))))) (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))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) (exp (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) 11.196 * * [simplify]: iteration 0 : 102 enodes (cost 2374 ) 11.209 * * [simplify]: iteration 1 : 175 enodes (cost 2277 ) 11.238 * * [simplify]: iteration 2 : 392 enodes (cost 2001 ) 11.322 * * [simplify]: iteration 3 : 682 enodes (cost 1929 ) 11.546 * * [simplify]: iteration 4 : 1114 enodes (cost 1929 ) 12.037 * * [simplify]: iteration 5 : 3100 enodes (cost 1927 ) 14.458 * * [simplify]: iteration done : 5000 enodes (cost 1927 ) 14.459 * [simplify]: Simplified to: (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) 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lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))) 1/2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))) 1/2) 0 (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos 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(sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (pow (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) 3) (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (log (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (log (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (exp (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (pow (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) 3) (* (cbrt (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (cbrt (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos 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(cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) R) (* R (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) R (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) R) (* R (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) 14.459 * * * [progress]: adding candidates to table 14.754 * [progress]: [Phase 3 of 3] Extracting. 14.754 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # # #) 14.779 * * * [regime-changes]: Trying 5 branch expressions: (phi2 phi1 lambda2 lambda1 R) 14.779 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # # # # # # # # # # #) 14.909 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # # # # # # # # # # #) 15.038 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # # # # # # # # # # # #) 15.167 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # # # # # # # # # # #) 15.298 * * * * [regimes]: Trying to branch on R from (# # # # # # # # # # # # # # # # # #) 15.428 * * * [regime]: Found split indices: #