10.842 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.243 * * * [progress]: [2/2] Setting up program. 0.247 * [progress]: [Phase 2 of 3] Improving. 0.247 * [simplify]: Simplifying using # : (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.249 * * [simplify]: iteration 0 : 27 enodes (cost 12 ) 0.250 * * [simplify]: iteration 1 : 39 enodes (cost 12 ) 0.252 * * [simplify]: iteration 2 : 44 enodes (cost 12 ) 0.253 * * [simplify]: iteration 3 : 45 enodes (cost 12 ) 0.254 * * [simplify]: iteration 4 : 45 enodes (cost 12 ) 0.255 * [simplify]: Simplified to: (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.255 * * [progress]: iteration 1 / 4 0.255 * * * [progress]: picking best candidate 0.258 * * * * [pick]: Picked # 0.258 * * * [progress]: localizing error 0.282 * * * [progress]: generating rewritten candidates 0.282 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 0.289 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.289 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.292 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.302 * * * [progress]: generating series expansions 0.302 * * * * [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 0.303 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.303 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.303 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.303 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.303 * [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 0.304 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.304 * [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 0.312 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 0.312 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 0.312 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.312 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.312 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.312 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.314 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 0.314 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.314 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.314 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.314 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.314 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.314 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.315 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.315 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.315 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.315 * [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 0.316 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.316 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.316 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.316 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.316 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.316 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.316 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.316 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 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 (/ 1 lambda2) in lambda2 0.317 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.317 * [taylor]: Taking taylor expansion of 0 in lambda2 0.318 * [taylor]: Taking taylor expansion of 0 in lambda2 0.318 * [taylor]: Taking taylor expansion of 0 in lambda2 0.318 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 0.318 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.318 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.318 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.318 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.318 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.318 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.319 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.319 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.319 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.319 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.319 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.319 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.320 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.320 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.320 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.320 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.320 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.320 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.321 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.321 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.321 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.321 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.321 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.321 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.321 * [taylor]: Taking taylor expansion of 0 in lambda2 0.321 * [taylor]: Taking taylor expansion of 0 in lambda2 0.322 * [taylor]: Taking taylor expansion of 0 in lambda2 0.322 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.322 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.322 * [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 (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 phi2 0.323 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.324 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.324 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.324 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.324 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.325 * [taylor]: Taking taylor expansion of 0 in phi2 0.325 * [taylor]: Taking taylor expansion of 0 in lambda1 0.325 * [taylor]: Taking taylor expansion of 0 in lambda2 0.325 * [taylor]: Taking taylor expansion of 0 in lambda1 0.325 * [taylor]: Taking taylor expansion of 0 in lambda2 0.325 * [taylor]: Taking taylor expansion of 0 in lambda2 0.325 * [taylor]: Taking taylor expansion of 0 in phi2 0.325 * [taylor]: Taking taylor expansion of 0 in lambda1 0.325 * [taylor]: Taking taylor expansion of 0 in lambda2 0.325 * [taylor]: Taking taylor expansion of 0 in lambda1 0.325 * [taylor]: Taking taylor expansion of 0 in lambda2 0.325 * [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 0.325 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2 0.326 * [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 0.326 * [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 0.326 * [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 0.326 * [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 0.327 * [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 0.327 * [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 0.327 * [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 0.328 * [taylor]: Taking taylor expansion of 0 in phi2 0.328 * [taylor]: Taking taylor expansion of 0 in lambda1 0.328 * [taylor]: Taking taylor expansion of 0 in lambda2 0.328 * [taylor]: Taking taylor expansion of 0 in lambda1 0.328 * [taylor]: Taking taylor expansion of 0 in lambda2 0.328 * [taylor]: Taking taylor expansion of 0 in lambda2 0.328 * [taylor]: Taking taylor expansion of 0 in phi2 0.328 * [taylor]: Taking taylor expansion of 0 in lambda1 0.328 * [taylor]: Taking taylor expansion of 0 in lambda2 0.328 * [taylor]: Taking taylor expansion of 0 in lambda1 0.328 * [taylor]: Taking taylor expansion of 0 in lambda2 0.329 * [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 0.329 * [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 0.329 * [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 0.329 * [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 0.330 * [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 0.330 * [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 0.330 * [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 0.330 * [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 lambda2 0.331 * [taylor]: Taking taylor expansion of 0 in phi2 0.331 * [taylor]: Taking taylor expansion of 0 in lambda1 0.331 * [taylor]: Taking taylor expansion of 0 in lambda2 0.331 * [taylor]: Taking taylor expansion of 0 in lambda1 0.331 * [taylor]: Taking taylor expansion of 0 in lambda2 0.331 * [taylor]: Taking taylor expansion of 0 in lambda2 0.331 * [taylor]: Taking taylor expansion of 0 in phi2 0.331 * [taylor]: Taking taylor expansion of 0 in lambda1 0.331 * [taylor]: Taking taylor expansion of 0 in lambda2 0.331 * [taylor]: Taking taylor expansion of 0 in lambda1 0.331 * [taylor]: Taking taylor expansion of 0 in lambda2 0.332 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.332 * [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 0.332 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.332 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.332 * [taylor]: Taking taylor expansion of R in R 0.332 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.332 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.333 * [taylor]: Taking taylor expansion of R in lambda2 0.333 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.333 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.333 * [taylor]: Taking taylor expansion of R in lambda1 0.333 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.333 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.333 * [taylor]: Taking taylor expansion of R in phi2 0.333 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.333 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.333 * [taylor]: Taking taylor expansion of R in phi1 0.333 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.333 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.333 * [taylor]: Taking taylor expansion of R in phi1 0.334 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.334 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.334 * [taylor]: Taking taylor expansion of R in phi2 0.334 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.334 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.334 * [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 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 R 0.335 * [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 0.336 * [taylor]: Taking taylor expansion of 0 in phi2 0.336 * [taylor]: Taking taylor expansion of 0 in lambda1 0.336 * [taylor]: Taking taylor expansion of 0 in lambda2 0.336 * [taylor]: Taking taylor expansion of 0 in R 0.336 * [taylor]: Taking taylor expansion of 0 in lambda1 0.336 * [taylor]: Taking taylor expansion of 0 in lambda2 0.336 * [taylor]: Taking taylor expansion of 0 in R 0.336 * [taylor]: Taking taylor expansion of 0 in lambda2 0.336 * [taylor]: Taking taylor expansion of 0 in R 0.336 * [taylor]: Taking taylor expansion of 0 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 lambda1 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 lambda2 0.339 * [taylor]: Taking taylor expansion of 0 in R 0.339 * [taylor]: Taking taylor expansion of 0 in lambda2 0.339 * [taylor]: Taking taylor expansion of 0 in R 0.339 * [taylor]: Taking taylor expansion of 0 in lambda2 0.339 * [taylor]: Taking taylor expansion of 0 in R 0.340 * [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 0.340 * [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 0.340 * [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 0.340 * [taylor]: Taking taylor expansion of R in R 0.341 * [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 0.341 * [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 0.341 * [taylor]: Taking taylor expansion of R in lambda2 0.341 * [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 0.341 * [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 0.342 * [taylor]: Taking taylor expansion of R in lambda1 0.342 * [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 0.342 * [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 0.342 * [taylor]: Taking taylor expansion of R in phi2 0.342 * [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 0.342 * [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 0.343 * [taylor]: Taking taylor expansion of R in phi1 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 phi1 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 phi1 0.343 * [taylor]: Taking taylor expansion of R in phi1 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 0.344 * [taylor]: Taking taylor expansion of 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))))))) 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 0.345 * [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 lambda2 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 lambda2 0.345 * [taylor]: Taking taylor expansion of R in lambda2 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 R 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 R 0.346 * [taylor]: Taking taylor expansion of R in R 0.347 * [taylor]: Taking taylor expansion of 0 in phi2 0.347 * [taylor]: Taking taylor expansion of 0 in lambda1 0.347 * [taylor]: Taking taylor expansion of 0 in lambda2 0.347 * [taylor]: Taking taylor expansion of 0 in R 0.347 * [taylor]: Taking taylor expansion of 0 in lambda1 0.347 * [taylor]: Taking taylor expansion of 0 in lambda2 0.347 * [taylor]: Taking taylor expansion of 0 in R 0.347 * [taylor]: Taking taylor expansion of 0 in lambda2 0.347 * [taylor]: Taking taylor expansion of 0 in R 0.348 * [taylor]: Taking taylor expansion of 0 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 lambda1 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 lambda2 0.350 * [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 lambda2 0.350 * [taylor]: Taking taylor expansion of 0 in R 0.350 * [taylor]: Taking taylor expansion of 0 in R 0.350 * [taylor]: Taking taylor expansion of 0 in R 0.350 * [taylor]: Taking taylor expansion of 0 in R 0.351 * [taylor]: Taking taylor expansion of 0 in R 0.353 * [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 0.353 * [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 0.353 * [taylor]: Taking taylor expansion of -1 in R 0.353 * [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 0.353 * [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 0.353 * [taylor]: Taking taylor expansion of R in R 0.354 * [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 0.354 * [taylor]: Taking taylor expansion of -1 in lambda2 0.354 * [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 0.354 * [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 0.354 * [taylor]: Taking taylor expansion of R in lambda2 0.354 * [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 0.354 * [taylor]: Taking taylor expansion of -1 in lambda1 0.354 * [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 0.354 * [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 0.355 * [taylor]: Taking taylor expansion of R in lambda1 0.355 * [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 0.355 * [taylor]: Taking taylor expansion of -1 in phi2 0.355 * [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 0.355 * [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 0.355 * [taylor]: Taking taylor expansion of R in phi2 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 phi1 0.356 * [taylor]: Taking taylor expansion of -1 in phi1 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 phi1 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 phi1 0.356 * [taylor]: Taking taylor expansion of R in phi1 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 phi1 0.356 * [taylor]: Taking taylor expansion of -1 in phi1 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 phi1 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 phi1 0.356 * [taylor]: Taking taylor expansion of R in phi1 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 0.357 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 0.357 * [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 lambda1 0.358 * [taylor]: Taking taylor expansion of -1 in lambda1 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 lambda1 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 lambda1 0.358 * [taylor]: Taking taylor expansion of R in lambda1 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 lambda2 0.359 * [taylor]: Taking taylor expansion of -1 in lambda2 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 lambda2 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 lambda2 0.359 * [taylor]: Taking taylor expansion of R in lambda2 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 R 0.360 * [taylor]: Taking taylor expansion of -1 in R 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 R 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 R 0.360 * [taylor]: Taking taylor expansion of R in R 0.362 * [taylor]: Taking taylor expansion of 0 in phi2 0.362 * [taylor]: Taking taylor expansion of 0 in lambda1 0.362 * [taylor]: Taking taylor expansion of 0 in lambda2 0.362 * [taylor]: Taking taylor expansion of 0 in R 0.363 * [taylor]: Taking taylor expansion of 0 in lambda1 0.363 * [taylor]: Taking taylor expansion of 0 in lambda2 0.363 * [taylor]: Taking taylor expansion of 0 in R 0.364 * [taylor]: Taking taylor expansion of 0 in lambda2 0.364 * [taylor]: Taking taylor expansion of 0 in R 0.365 * [taylor]: Taking taylor expansion of 0 in R 0.368 * [taylor]: Taking taylor expansion of 0 in phi2 0.368 * [taylor]: Taking taylor expansion of 0 in lambda1 0.368 * [taylor]: Taking taylor expansion of 0 in lambda2 0.368 * [taylor]: Taking taylor expansion of 0 in R 0.368 * [taylor]: Taking taylor expansion of 0 in lambda1 0.368 * [taylor]: Taking taylor expansion of 0 in lambda2 0.368 * [taylor]: Taking taylor expansion of 0 in R 0.369 * [taylor]: Taking taylor expansion of 0 in lambda1 0.369 * [taylor]: Taking taylor expansion of 0 in lambda2 0.369 * [taylor]: Taking taylor expansion of 0 in R 0.369 * [taylor]: Taking taylor expansion of 0 in lambda2 0.369 * [taylor]: Taking taylor expansion of 0 in R 0.369 * [taylor]: Taking taylor expansion of 0 in lambda2 0.369 * [taylor]: Taking taylor expansion of 0 in R 0.371 * [taylor]: Taking taylor expansion of 0 in lambda2 0.371 * [taylor]: Taking taylor expansion of 0 in R 0.371 * [taylor]: Taking taylor expansion of 0 in R 0.371 * [taylor]: Taking taylor expansion of 0 in R 0.371 * [taylor]: Taking taylor expansion of 0 in R 0.372 * [taylor]: Taking taylor expansion of 0 in R 0.375 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.375 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 0.375 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 0.375 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 0.375 * [taylor]: Taking taylor expansion of phi1 in phi2 0.375 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.375 * [taylor]: Taking taylor expansion of phi2 in phi2 0.375 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.375 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.375 * [taylor]: Taking taylor expansion of phi1 in phi1 0.375 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.375 * [taylor]: Taking taylor expansion of phi2 in phi1 0.375 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.375 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.375 * [taylor]: Taking taylor expansion of phi1 in phi1 0.375 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.375 * [taylor]: Taking taylor expansion of phi2 in phi1 0.376 * [taylor]: Taking taylor expansion of 0 in phi2 0.378 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.378 * [taylor]: Taking taylor expansion of phi2 in phi2 0.381 * [taylor]: Taking taylor expansion of 0 in phi2 0.385 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 0.385 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 0.385 * [taylor]: Taking taylor expansion of 1/6 in phi2 0.386 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.386 * [taylor]: Taking taylor expansion of phi2 in phi2 0.395 * [taylor]: Taking taylor expansion of 0 in phi2 0.395 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 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 0.396 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.396 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.396 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.396 * [taylor]: Taking taylor expansion of phi1 in phi1 0.396 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.396 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.396 * [taylor]: Taking taylor expansion of phi2 in phi1 0.396 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.396 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.396 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.396 * [taylor]: Taking taylor expansion of phi1 in phi1 0.396 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.397 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.397 * [taylor]: Taking taylor expansion of phi2 in phi1 0.397 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.397 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.397 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.397 * [taylor]: Taking taylor expansion of phi1 in phi2 0.397 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.397 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.397 * [taylor]: Taking taylor expansion of phi2 in phi2 0.399 * [taylor]: Taking taylor expansion of 0 in phi2 0.403 * [taylor]: Taking taylor expansion of 0 in phi2 0.409 * [taylor]: Taking taylor expansion of 0 in phi2 0.409 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 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 0.410 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.410 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.410 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.410 * [taylor]: Taking taylor expansion of -1 in phi1 0.410 * [taylor]: Taking taylor expansion of phi1 in phi1 0.410 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.410 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.410 * [taylor]: Taking taylor expansion of -1 in phi1 0.410 * [taylor]: Taking taylor expansion of phi2 in phi1 0.410 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.410 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.410 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.410 * [taylor]: Taking taylor expansion of -1 in phi1 0.410 * [taylor]: Taking taylor expansion of phi1 in phi1 0.411 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.411 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.411 * [taylor]: Taking taylor expansion of -1 in phi1 0.411 * [taylor]: Taking taylor expansion of phi2 in phi1 0.411 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.411 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.411 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.411 * [taylor]: Taking taylor expansion of -1 in phi2 0.411 * [taylor]: Taking taylor expansion of phi1 in phi2 0.411 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.411 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.411 * [taylor]: Taking taylor expansion of -1 in phi2 0.411 * [taylor]: Taking taylor expansion of phi2 in phi2 0.414 * [taylor]: Taking taylor expansion of 0 in phi2 0.418 * [taylor]: Taking taylor expansion of 0 in phi2 0.423 * [taylor]: Taking taylor expansion of 0 in phi2 0.424 * * * [progress]: simplifying candidates 0.425 * [simplify]: Simplifying using # : (expm1 (cos (- lambda1 lambda2))) (log1p (cos (- lambda1 lambda2))) (* (cos (fma (* (cbrt lambda1) (cbrt lambda1)) (cbrt lambda1) (- (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (cos (fma (- (cbrt lambda2)) (* (cbrt lambda2) (cbrt lambda2)) (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (* (sin (fma (* (cbrt lambda1) (cbrt lambda1)) (cbrt lambda1) (- (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (sin (fma (- (cbrt lambda2)) (* (cbrt lambda2) (cbrt lambda2)) (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (* (cos (fma (* (cbrt lambda1) (cbrt lambda1)) (cbrt lambda1) (- (* (sqrt lambda2) (sqrt lambda2))))) (cos (fma (- (sqrt lambda2)) (sqrt lambda2) (* (sqrt lambda2) (sqrt lambda2))))) (* (sin (fma (* (cbrt lambda1) (cbrt lambda1)) (cbrt lambda1) (- (* (sqrt lambda2) (sqrt lambda2))))) (sin (fma (- (sqrt lambda2)) (sqrt lambda2) (* (sqrt lambda2) (sqrt lambda2))))) (* (cos (fma (* (cbrt lambda1) (cbrt lambda1)) (cbrt lambda1) (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma (* (cbrt lambda1) (cbrt lambda1)) (cbrt lambda1) (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (cos (fma (sqrt lambda1) (sqrt lambda1) (- (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (cos (fma (- (cbrt lambda2)) (* (cbrt lambda2) (cbrt lambda2)) (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (* (sin (fma (sqrt lambda1) (sqrt lambda1) (- (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (sin (fma (- (cbrt lambda2)) (* (cbrt lambda2) (cbrt lambda2)) (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (* (cos (fma (sqrt lambda1) (sqrt lambda1) (- (* (sqrt lambda2) (sqrt lambda2))))) (cos (fma (- (sqrt lambda2)) (sqrt lambda2) (* (sqrt lambda2) (sqrt lambda2))))) (* (sin (fma (sqrt lambda1) (sqrt lambda1) (- (* (sqrt lambda2) (sqrt lambda2))))) (sin (fma (- (sqrt lambda2)) (sqrt lambda2) (* (sqrt lambda2) (sqrt lambda2))))) (* (cos (fma (sqrt lambda1) (sqrt lambda1) (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma (sqrt lambda1) (sqrt lambda1) (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (cos (fma 1 lambda1 (- (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (cos (fma (- (cbrt lambda2)) (* (cbrt lambda2) (cbrt lambda2)) (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (* (sin (fma 1 lambda1 (- (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (sin (fma (- (cbrt lambda2)) (* (cbrt lambda2) (cbrt lambda2)) (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (* (cos (fma 1 lambda1 (- (* (sqrt lambda2) (sqrt lambda2))))) (cos (fma (- (sqrt lambda2)) (sqrt lambda2) (* (sqrt lambda2) (sqrt lambda2))))) (* (sin (fma 1 lambda1 (- (* (sqrt lambda2) (sqrt lambda2))))) (sin (fma (- (sqrt lambda2)) (sqrt lambda2) (* (sqrt lambda2) (sqrt lambda2))))) (* (cos (fma 1 lambda1 (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma 1 lambda1 (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (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))) (expm1 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (log1p (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (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)))))) (expm1 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (log1p (* (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) (+ (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) (expm1 (* (sin phi1) (sin phi2))) (log1p (* (sin phi1) (sin phi2))) (- (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)) 0.430 * * [simplify]: iteration 0 : 323 enodes (cost 995 ) 0.435 * * [simplify]: iteration 1 : 789 enodes (cost 819 ) 0.447 * * [simplify]: iteration 2 : 2620 enodes (cost 818 ) 0.483 * * [simplify]: iteration 3 : 5002 enodes (cost 793 ) 0.486 * [simplify]: Simplified to: (expm1 (cos (- lambda1 lambda2))) (log1p (cos (- lambda1 lambda2))) (* (cos (fma 1 lambda1 (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma 1 lambda1 (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (cos (fma 1 lambda1 (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma 1 lambda1 (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (cos (fma 1 lambda1 (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma 1 lambda1 (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (cos (fma 1 lambda1 (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma 1 lambda1 (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (cos (fma 1 lambda1 (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma 1 lambda1 (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (cos (fma 1 lambda1 (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma 1 lambda1 (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (cos (fma 1 lambda1 (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma 1 lambda1 (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (cos (fma 1 lambda1 (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma 1 lambda1 (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (cos (fma 1 lambda1 (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma 1 lambda1 (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (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))) (expm1 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (log1p (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (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)))))) (expm1 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (log1p (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (expm1 (* (sin phi1) (sin phi2))) (log1p (* (sin phi1) (sin 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)) (fma lambda1 (- lambda2 (* 1/2 lambda1)) 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 (- 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)) 0.486 * * * [progress]: adding candidates to table 0.785 * * [progress]: iteration 2 / 4 0.785 * * * [progress]: picking best candidate 0.855 * * * * [pick]: Picked # 0.855 * * * [progress]: localizing error 0.887 * * * [progress]: generating rewritten candidates 0.887 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.888 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.891 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.895 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 0.916 * * * [progress]: generating series expansions 0.916 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.917 * [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 0.917 * [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 0.917 * [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 0.918 * [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 0.918 * [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 0.918 * [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 0.919 * [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 0.919 * [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 0.920 * [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 0.920 * [taylor]: Taking taylor expansion of 0 in phi2 0.920 * [taylor]: Taking taylor expansion of 0 in lambda1 0.920 * [taylor]: Taking taylor expansion of 0 in lambda2 0.920 * [taylor]: Taking taylor expansion of 0 in lambda1 0.920 * [taylor]: Taking taylor expansion of 0 in lambda2 0.920 * [taylor]: Taking taylor expansion of 0 in lambda2 0.921 * [taylor]: Taking taylor expansion of 0 in phi2 0.921 * [taylor]: Taking taylor expansion of 0 in lambda1 0.921 * [taylor]: Taking taylor expansion of 0 in lambda2 0.921 * [taylor]: Taking taylor expansion of 0 in lambda1 0.921 * [taylor]: Taking taylor expansion of 0 in lambda2 0.921 * [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 0.921 * [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 0.922 * [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 0.922 * [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 0.923 * [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 0.923 * [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 0.924 * [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 0.924 * [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 0.925 * [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 0.926 * [taylor]: Taking taylor expansion of 0 in phi2 0.926 * [taylor]: Taking taylor expansion of 0 in lambda1 0.926 * [taylor]: Taking taylor expansion of 0 in lambda2 0.926 * [taylor]: Taking taylor expansion of 0 in lambda1 0.926 * [taylor]: Taking taylor expansion of 0 in lambda2 0.926 * [taylor]: Taking taylor expansion of 0 in lambda2 0.926 * [taylor]: Taking taylor expansion of 0 in phi2 0.926 * [taylor]: Taking taylor expansion of 0 in lambda1 0.926 * [taylor]: Taking taylor expansion of 0 in lambda2 0.926 * [taylor]: Taking taylor expansion of 0 in lambda1 0.926 * [taylor]: Taking taylor expansion of 0 in lambda2 0.927 * [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 0.927 * [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 0.928 * [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 0.928 * [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 0.929 * [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 0.929 * [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 0.930 * [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 0.930 * [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 0.931 * [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 0.932 * [taylor]: Taking taylor expansion of 0 in phi2 0.932 * [taylor]: Taking taylor expansion of 0 in lambda1 0.932 * [taylor]: Taking taylor expansion of 0 in lambda2 0.932 * [taylor]: Taking taylor expansion of 0 in lambda1 0.932 * [taylor]: Taking taylor expansion of 0 in lambda2 0.932 * [taylor]: Taking taylor expansion of 0 in lambda2 0.932 * [taylor]: Taking taylor expansion of 0 in phi2 0.932 * [taylor]: Taking taylor expansion of 0 in lambda1 0.932 * [taylor]: Taking taylor expansion of 0 in lambda2 0.932 * [taylor]: Taking taylor expansion of 0 in lambda1 0.932 * [taylor]: Taking taylor expansion of 0 in lambda2 0.933 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.933 * [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 0.933 * [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 0.934 * [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 0.934 * [taylor]: Taking taylor expansion of R in R 0.934 * [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 0.934 * [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 0.934 * [taylor]: Taking taylor expansion of R in lambda2 0.934 * [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 0.934 * [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 0.935 * [taylor]: Taking taylor expansion of R in lambda1 0.935 * [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 0.935 * [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 0.935 * [taylor]: Taking taylor expansion of R in phi2 0.935 * [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 0.935 * [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 0.936 * [taylor]: Taking taylor expansion of R in phi1 0.936 * [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 0.936 * [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 0.936 * [taylor]: Taking taylor expansion of R in phi1 0.936 * [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 0.936 * [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 0.937 * [taylor]: Taking taylor expansion of R in phi2 0.937 * [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 0.937 * [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 0.938 * [taylor]: Taking taylor expansion of R in lambda1 0.938 * [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 0.938 * [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 0.938 * [taylor]: Taking taylor expansion of R in lambda2 0.939 * [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 0.939 * [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 0.939 * [taylor]: Taking taylor expansion of R in R 0.940 * [taylor]: Taking taylor expansion of 0 in phi2 0.940 * [taylor]: Taking taylor expansion of 0 in lambda1 0.940 * [taylor]: Taking taylor expansion of 0 in lambda2 0.940 * [taylor]: Taking taylor expansion of 0 in R 0.940 * [taylor]: Taking taylor expansion of 0 in lambda1 0.940 * [taylor]: Taking taylor expansion of 0 in lambda2 0.940 * [taylor]: Taking taylor expansion of 0 in R 0.941 * [taylor]: Taking taylor expansion of 0 in lambda2 0.941 * [taylor]: Taking taylor expansion of 0 in R 0.941 * [taylor]: Taking taylor expansion of 0 in R 0.943 * [taylor]: Taking taylor expansion of 0 in phi2 0.943 * [taylor]: Taking taylor expansion of 0 in lambda1 0.943 * [taylor]: Taking taylor expansion of 0 in lambda2 0.943 * [taylor]: Taking taylor expansion of 0 in R 0.944 * [taylor]: Taking taylor expansion of 0 in lambda1 0.944 * [taylor]: Taking taylor expansion of 0 in lambda2 0.944 * [taylor]: Taking taylor expansion of 0 in R 0.944 * [taylor]: Taking taylor expansion of 0 in lambda1 0.944 * [taylor]: Taking taylor expansion of 0 in lambda2 0.944 * [taylor]: Taking taylor expansion of 0 in R 0.944 * [taylor]: Taking taylor expansion of 0 in lambda2 0.944 * [taylor]: Taking taylor expansion of 0 in R 0.944 * [taylor]: Taking taylor expansion of 0 in lambda2 0.944 * [taylor]: Taking taylor expansion of 0 in R 0.945 * [taylor]: Taking taylor expansion of 0 in lambda2 0.945 * [taylor]: Taking taylor expansion of 0 in R 0.947 * [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 0.947 * [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 0.947 * [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 0.947 * [taylor]: Taking taylor expansion of R in R 0.948 * [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 0.948 * [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 0.948 * [taylor]: Taking taylor expansion of R in lambda2 0.949 * [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 0.949 * [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 0.949 * [taylor]: Taking taylor expansion of R in lambda1 0.950 * [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 0.950 * [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 0.950 * [taylor]: Taking taylor expansion of R in phi2 0.951 * [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 0.951 * [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 0.951 * [taylor]: Taking taylor expansion of R in phi1 0.952 * [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 0.952 * [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 0.953 * [taylor]: Taking taylor expansion of R in phi1 0.953 * [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 0.953 * [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 0.954 * [taylor]: Taking taylor expansion of R in phi2 0.954 * [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 0.954 * [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 0.955 * [taylor]: Taking taylor expansion of R in lambda1 0.955 * [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 0.955 * [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 0.956 * [taylor]: Taking taylor expansion of R in lambda2 0.956 * [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 0.956 * [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 0.957 * [taylor]: Taking taylor expansion of R in R 0.959 * [taylor]: Taking taylor expansion of 0 in phi2 0.959 * [taylor]: Taking taylor expansion of 0 in lambda1 0.959 * [taylor]: Taking taylor expansion of 0 in lambda2 0.959 * [taylor]: Taking taylor expansion of 0 in R 0.960 * [taylor]: Taking taylor expansion of 0 in lambda1 0.960 * [taylor]: Taking taylor expansion of 0 in lambda2 0.960 * [taylor]: Taking taylor expansion of 0 in R 0.960 * [taylor]: Taking taylor expansion of 0 in lambda2 0.960 * [taylor]: Taking taylor expansion of 0 in R 0.961 * [taylor]: Taking taylor expansion of 0 in R 0.963 * [taylor]: Taking taylor expansion of 0 in phi2 0.963 * [taylor]: Taking taylor expansion of 0 in lambda1 0.963 * [taylor]: Taking taylor expansion of 0 in lambda2 0.963 * [taylor]: Taking taylor expansion of 0 in R 0.963 * [taylor]: Taking taylor expansion of 0 in lambda1 0.963 * [taylor]: Taking taylor expansion of 0 in lambda2 0.963 * [taylor]: Taking taylor expansion of 0 in R 0.964 * [taylor]: Taking taylor expansion of 0 in lambda1 0.964 * [taylor]: Taking taylor expansion of 0 in lambda2 0.964 * [taylor]: Taking taylor expansion of 0 in R 0.964 * [taylor]: Taking taylor expansion of 0 in lambda2 0.964 * [taylor]: Taking taylor expansion of 0 in R 0.964 * [taylor]: Taking taylor expansion of 0 in lambda2 0.964 * [taylor]: Taking taylor expansion of 0 in R 0.964 * [taylor]: Taking taylor expansion of 0 in lambda2 0.964 * [taylor]: Taking taylor expansion of 0 in R 0.964 * [taylor]: Taking taylor expansion of 0 in R 0.965 * [taylor]: Taking taylor expansion of 0 in R 0.965 * [taylor]: Taking taylor expansion of 0 in R 0.965 * [taylor]: Taking taylor expansion of 0 in R 0.969 * [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 0.969 * [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 0.969 * [taylor]: Taking taylor expansion of -1 in R 0.969 * [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 0.969 * [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 0.969 * [taylor]: Taking taylor expansion of R in R 0.970 * [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 0.970 * [taylor]: Taking taylor expansion of -1 in lambda2 0.970 * [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 0.970 * [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 0.970 * [taylor]: Taking taylor expansion of R in lambda2 0.971 * [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 0.971 * [taylor]: Taking taylor expansion of -1 in lambda1 0.971 * [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 0.971 * [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 0.971 * [taylor]: Taking taylor expansion of R in lambda1 0.972 * [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 0.972 * [taylor]: Taking taylor expansion of -1 in phi2 0.972 * [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 0.972 * [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 0.973 * [taylor]: Taking taylor expansion of R in phi2 0.973 * [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 0.973 * [taylor]: Taking taylor expansion of -1 in phi1 0.973 * [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 0.973 * [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 0.974 * [taylor]: Taking taylor expansion of R in phi1 0.974 * [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 0.974 * [taylor]: Taking taylor expansion of -1 in phi1 0.974 * [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 0.974 * [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 0.975 * [taylor]: Taking taylor expansion of R in phi1 0.976 * [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 0.976 * [taylor]: Taking taylor expansion of -1 in phi2 0.976 * [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 0.976 * [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 0.976 * [taylor]: Taking taylor expansion of R in phi2 0.977 * [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 0.977 * [taylor]: Taking taylor expansion of -1 in lambda1 0.977 * [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 0.977 * [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 0.978 * [taylor]: Taking taylor expansion of R in lambda1 0.979 * [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 0.979 * [taylor]: Taking taylor expansion of -1 in lambda2 0.979 * [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 0.979 * [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 0.980 * [taylor]: Taking taylor expansion of R in lambda2 0.981 * [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 0.981 * [taylor]: Taking taylor expansion of -1 in R 0.981 * [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 0.981 * [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 0.981 * [taylor]: Taking taylor expansion of R in R 0.985 * [taylor]: Taking taylor expansion of 0 in phi2 0.985 * [taylor]: Taking taylor expansion of 0 in lambda1 0.985 * [taylor]: Taking taylor expansion of 0 in lambda2 0.985 * [taylor]: Taking taylor expansion of 0 in R 0.989 * [taylor]: Taking taylor expansion of 0 in lambda1 0.989 * [taylor]: Taking taylor expansion of 0 in lambda2 0.989 * [taylor]: Taking taylor expansion of 0 in R 0.990 * [taylor]: Taking taylor expansion of 0 in lambda2 0.990 * [taylor]: Taking taylor expansion of 0 in R 0.992 * [taylor]: Taking taylor expansion of 0 in R 0.995 * [taylor]: Taking taylor expansion of 0 in phi2 0.995 * [taylor]: Taking taylor expansion of 0 in lambda1 0.996 * [taylor]: Taking taylor expansion of 0 in lambda2 0.996 * [taylor]: Taking taylor expansion of 0 in R 0.996 * [taylor]: Taking taylor expansion of 0 in lambda1 0.996 * [taylor]: Taking taylor expansion of 0 in lambda2 0.996 * [taylor]: Taking taylor expansion of 0 in R 0.997 * [taylor]: Taking taylor expansion of 0 in lambda1 0.997 * [taylor]: Taking taylor expansion of 0 in lambda2 0.997 * [taylor]: Taking taylor expansion of 0 in R 0.997 * [taylor]: Taking taylor expansion of 0 in lambda2 0.998 * [taylor]: Taking taylor expansion of 0 in R 0.998 * [taylor]: Taking taylor expansion of 0 in lambda2 0.998 * [taylor]: Taking taylor expansion of 0 in R 0.999 * [taylor]: Taking taylor expansion of 0 in lambda2 0.999 * [taylor]: Taking taylor expansion of 0 in R 0.999 * [taylor]: Taking taylor expansion of 0 in R 0.999 * [taylor]: Taking taylor expansion of 0 in R 0.999 * [taylor]: Taking taylor expansion of 0 in R 1.001 * [taylor]: Taking taylor expansion of 0 in R 1.005 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.005 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 1.005 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 1.005 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 1.005 * [taylor]: Taking taylor expansion of phi1 in phi2 1.005 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.005 * [taylor]: Taking taylor expansion of phi2 in phi2 1.005 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.005 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.005 * [taylor]: Taking taylor expansion of phi1 in phi1 1.005 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.005 * [taylor]: Taking taylor expansion of phi2 in phi1 1.005 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.005 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.005 * [taylor]: Taking taylor expansion of phi1 in phi1 1.005 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.005 * [taylor]: Taking taylor expansion of phi2 in phi1 1.006 * [taylor]: Taking taylor expansion of 0 in phi2 1.008 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.008 * [taylor]: Taking taylor expansion of phi2 in phi2 1.011 * [taylor]: Taking taylor expansion of 0 in phi2 1.016 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 1.016 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 1.016 * [taylor]: Taking taylor expansion of 1/6 in phi2 1.016 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.016 * [taylor]: Taking taylor expansion of phi2 in phi2 1.023 * [taylor]: Taking taylor expansion of 0 in phi2 1.023 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 1.023 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.023 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.023 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.023 * [taylor]: Taking taylor expansion of phi1 in phi2 1.023 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.023 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.023 * [taylor]: Taking taylor expansion of phi2 in phi2 1.023 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.023 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.023 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.023 * [taylor]: Taking taylor expansion of phi1 in phi1 1.024 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.024 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.024 * [taylor]: Taking taylor expansion of phi2 in phi1 1.024 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.024 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.024 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.024 * [taylor]: Taking taylor expansion of phi1 in phi1 1.024 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.024 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.024 * [taylor]: Taking taylor expansion of phi2 in phi1 1.025 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.025 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.025 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.025 * [taylor]: Taking taylor expansion of phi1 in phi2 1.025 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.025 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.025 * [taylor]: Taking taylor expansion of phi2 in phi2 1.027 * [taylor]: Taking taylor expansion of 0 in phi2 1.031 * [taylor]: Taking taylor expansion of 0 in phi2 1.037 * [taylor]: Taking taylor expansion of 0 in phi2 1.037 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 1.037 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.037 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.037 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.037 * [taylor]: Taking taylor expansion of -1 in phi2 1.037 * [taylor]: Taking taylor expansion of phi1 in phi2 1.037 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.037 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.037 * [taylor]: Taking taylor expansion of -1 in phi2 1.037 * [taylor]: Taking taylor expansion of phi2 in phi2 1.038 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.038 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.038 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.038 * [taylor]: Taking taylor expansion of -1 in phi1 1.038 * [taylor]: Taking taylor expansion of phi1 in phi1 1.038 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.038 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.038 * [taylor]: Taking taylor expansion of -1 in phi1 1.038 * [taylor]: Taking taylor expansion of phi2 in phi1 1.038 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.038 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.038 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.038 * [taylor]: Taking taylor expansion of -1 in phi1 1.038 * [taylor]: Taking taylor expansion of phi1 in phi1 1.039 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.039 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.039 * [taylor]: Taking taylor expansion of -1 in phi1 1.039 * [taylor]: Taking taylor expansion of phi2 in phi1 1.039 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.039 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.039 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.039 * [taylor]: Taking taylor expansion of -1 in phi2 1.039 * [taylor]: Taking taylor expansion of phi1 in phi2 1.039 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.039 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.039 * [taylor]: Taking taylor expansion of -1 in phi2 1.039 * [taylor]: Taking taylor expansion of phi2 in phi2 1.041 * [taylor]: Taking taylor expansion of 0 in phi2 1.046 * [taylor]: Taking taylor expansion of 0 in phi2 1.051 * [taylor]: Taking taylor expansion of 0 in phi2 1.051 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 1.052 * [approximate]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in (phi1 phi2 lambda1 lambda2) around 0 1.052 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in lambda2 1.052 * [taylor]: Taking taylor expansion of (cos phi1) in lambda2 1.052 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.052 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in lambda2 1.052 * [taylor]: Taking taylor expansion of (cos phi2) in lambda2 1.052 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.052 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in lambda2 1.052 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda2 1.052 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda2 1.052 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.052 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 1.052 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.052 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 1.052 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 1.052 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.052 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.052 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.052 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in lambda1 1.052 * [taylor]: Taking taylor expansion of (cos phi1) in lambda1 1.052 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.052 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in lambda1 1.052 * [taylor]: Taking taylor expansion of (cos phi2) in lambda1 1.052 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.052 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in lambda1 1.052 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 1.052 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 1.052 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.052 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 1.052 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.053 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.053 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.053 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.053 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.053 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.053 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in phi2 1.053 * [taylor]: Taking taylor expansion of (cos phi1) in phi2 1.053 * [taylor]: Taking taylor expansion of phi1 in phi2 1.053 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in phi2 1.053 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 1.053 * [taylor]: Taking taylor expansion of phi2 in phi2 1.053 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in phi2 1.053 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi2 1.053 * [taylor]: Taking taylor expansion of (cos lambda1) in phi2 1.053 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.053 * [taylor]: Taking taylor expansion of (cos lambda2) in phi2 1.053 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.053 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi2 1.053 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 1.053 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.053 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 1.053 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.053 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in phi1 1.053 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 1.053 * [taylor]: Taking taylor expansion of phi1 in phi1 1.053 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in phi1 1.053 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 1.053 * [taylor]: Taking taylor expansion of phi2 in phi1 1.053 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in phi1 1.053 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi1 1.053 * [taylor]: Taking taylor expansion of (cos lambda1) in phi1 1.053 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.053 * [taylor]: Taking taylor expansion of (cos lambda2) in phi1 1.053 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.053 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi1 1.053 * [taylor]: Taking taylor expansion of (sin lambda1) in phi1 1.053 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.053 * [taylor]: Taking taylor expansion of (sin lambda2) in phi1 1.054 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.054 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in phi1 1.054 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 1.054 * [taylor]: Taking taylor expansion of phi1 in phi1 1.054 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in phi1 1.054 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 1.054 * [taylor]: Taking taylor expansion of phi2 in phi1 1.054 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in phi1 1.054 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi1 1.054 * [taylor]: Taking taylor expansion of (cos lambda1) in phi1 1.054 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.054 * [taylor]: Taking taylor expansion of (cos lambda2) in phi1 1.054 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.054 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi1 1.054 * [taylor]: Taking taylor expansion of (sin lambda1) in phi1 1.054 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.054 * [taylor]: Taking taylor expansion of (sin lambda2) in phi1 1.054 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.056 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in phi2 1.056 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 1.056 * [taylor]: Taking taylor expansion of phi2 in phi2 1.056 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in phi2 1.056 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi2 1.056 * [taylor]: Taking taylor expansion of (cos lambda1) in phi2 1.056 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.056 * [taylor]: Taking taylor expansion of (cos lambda2) in phi2 1.056 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.056 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi2 1.056 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 1.056 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.056 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 1.056 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.057 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in lambda1 1.057 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 1.057 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 1.057 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.057 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 1.057 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.058 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.058 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.058 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.058 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.058 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.058 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 1.058 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.068 * [taylor]: Taking taylor expansion of 0 in phi2 1.068 * [taylor]: Taking taylor expansion of 0 in lambda1 1.068 * [taylor]: Taking taylor expansion of 0 in lambda2 1.075 * [taylor]: Taking taylor expansion of 0 in lambda1 1.075 * [taylor]: Taking taylor expansion of 0 in lambda2 1.083 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.083 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.096 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* (cos lambda1) (* (cos phi2) (cos lambda2)))) (* 1/2 (* (sin lambda1) (* (cos phi2) (sin lambda2)))))) in phi2 1.096 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (cos lambda1) (* (cos phi2) (cos lambda2)))) (* 1/2 (* (sin lambda1) (* (cos phi2) (sin lambda2))))) in phi2 1.096 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos lambda1) (* (cos phi2) (cos lambda2)))) in phi2 1.096 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.096 * [taylor]: Taking taylor expansion of (* (cos lambda1) (* (cos phi2) (cos lambda2))) in phi2 1.096 * [taylor]: Taking taylor expansion of (cos lambda1) in phi2 1.096 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.096 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos lambda2)) in phi2 1.096 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 1.096 * [taylor]: Taking taylor expansion of phi2 in phi2 1.096 * [taylor]: Taking taylor expansion of (cos lambda2) in phi2 1.096 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.096 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (* (cos phi2) (sin lambda2)))) in phi2 1.096 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.096 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi2) (sin lambda2))) in phi2 1.096 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 1.096 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.096 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in phi2 1.096 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 1.096 * [taylor]: Taking taylor expansion of phi2 in phi2 1.096 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 1.096 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.098 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* (cos lambda1) (cos lambda2))) (* 1/2 (* (sin lambda1) (sin lambda2))))) in lambda1 1.098 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (cos lambda1) (cos lambda2))) (* 1/2 (* (sin lambda1) (sin lambda2)))) in lambda1 1.098 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos lambda1) (cos lambda2))) in lambda1 1.098 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.098 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 1.098 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 1.098 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.098 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 1.098 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.098 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (sin lambda2))) in lambda1 1.098 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.098 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.098 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.098 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.098 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.098 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.099 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos lambda2))) in lambda2 1.099 * [taylor]: Taking taylor expansion of (* 1/2 (cos lambda2)) in lambda2 1.099 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.099 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 1.099 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.099 * [taylor]: Taking taylor expansion of 0 in lambda1 1.099 * [taylor]: Taking taylor expansion of 0 in lambda2 1.110 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* (cos lambda1) (cos lambda2))) (* 1/2 (* (sin lambda1) (sin lambda2))))) in lambda1 1.110 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (cos lambda1) (cos lambda2))) (* 1/2 (* (sin lambda1) (sin lambda2)))) in lambda1 1.110 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos lambda1) (cos lambda2))) in lambda1 1.110 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.110 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 1.110 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 1.110 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.110 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 1.110 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.110 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (sin lambda2))) in lambda1 1.110 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.110 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.110 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.110 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.110 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.110 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.111 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos lambda2))) in lambda2 1.111 * [taylor]: Taking taylor expansion of (* 1/2 (cos lambda2)) in lambda2 1.111 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.111 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 1.111 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.112 * [approximate]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in (phi1 phi2 lambda1 lambda2) around 0 1.112 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in lambda2 1.112 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 1.112 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.112 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.112 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in lambda2 1.112 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 1.112 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.112 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.112 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda2 1.113 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.113 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.113 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.113 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.113 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.113 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.113 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.113 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda2 1.113 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda2 1.113 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.113 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.113 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda2 1.113 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.114 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.114 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in lambda1 1.114 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 1.114 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.114 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.114 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in lambda1 1.114 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 1.114 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.114 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.114 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda1 1.114 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.114 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.114 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.114 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.114 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.114 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.114 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.114 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda1 1.114 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda1 1.114 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.114 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.115 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda1 1.115 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.115 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.115 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in phi2 1.115 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 1.115 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.115 * [taylor]: Taking taylor expansion of phi2 in phi2 1.115 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in phi2 1.115 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 1.115 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.115 * [taylor]: Taking taylor expansion of phi1 in phi2 1.115 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi2 1.115 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in phi2 1.115 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi2 1.116 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.116 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.116 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi2 1.116 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.116 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.116 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi2 1.116 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi2 1.116 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.116 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.116 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi2 1.116 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.116 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.116 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in phi1 1.116 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 1.116 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.116 * [taylor]: Taking taylor expansion of phi2 in phi1 1.116 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in phi1 1.116 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 1.116 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.116 * [taylor]: Taking taylor expansion of phi1 in phi1 1.117 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi1 1.117 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in phi1 1.117 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi1 1.117 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.117 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.117 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi1 1.117 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.117 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.117 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi1 1.117 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi1 1.117 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.117 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.117 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi1 1.117 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.117 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.117 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in phi1 1.117 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 1.117 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.118 * [taylor]: Taking taylor expansion of phi2 in phi1 1.118 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in phi1 1.118 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 1.118 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.118 * [taylor]: Taking taylor expansion of phi1 in phi1 1.118 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi1 1.118 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in phi1 1.118 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi1 1.118 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.118 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.118 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi1 1.118 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.118 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.118 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi1 1.118 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi1 1.118 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.118 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.118 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi1 1.118 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.118 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.121 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in phi2 1.121 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 1.121 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.121 * [taylor]: Taking taylor expansion of phi2 in phi2 1.121 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in phi2 1.121 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 1.121 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.121 * [taylor]: Taking taylor expansion of phi1 in phi2 1.121 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi2 1.121 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in phi2 1.121 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi2 1.121 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.121 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.121 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi2 1.121 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.121 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.121 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi2 1.121 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi2 1.121 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.121 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.122 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi2 1.122 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.122 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.124 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in lambda1 1.124 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 1.124 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.124 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.124 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in lambda1 1.124 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 1.124 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.124 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.124 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda1 1.124 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.124 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.124 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.124 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.124 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.124 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.124 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.124 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda1 1.124 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda1 1.124 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.124 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.125 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda1 1.125 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.125 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.127 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in lambda2 1.127 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 1.127 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.127 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.127 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in lambda2 1.127 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 1.127 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.127 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.127 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda2 1.127 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.127 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.127 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.127 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.127 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.127 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.127 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.128 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda2 1.128 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda2 1.128 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.128 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.128 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda2 1.128 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.128 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.140 * [taylor]: Taking taylor expansion of 0 in phi2 1.140 * [taylor]: Taking taylor expansion of 0 in lambda1 1.140 * [taylor]: Taking taylor expansion of 0 in lambda2 1.149 * [taylor]: Taking taylor expansion of 0 in lambda1 1.149 * [taylor]: Taking taylor expansion of 0 in lambda2 1.157 * [taylor]: Taking taylor expansion of 0 in lambda2 1.182 * [taylor]: Taking taylor expansion of 0 in phi2 1.182 * [taylor]: Taking taylor expansion of 0 in lambda1 1.182 * [taylor]: Taking taylor expansion of 0 in lambda2 1.182 * [taylor]: Taking taylor expansion of 0 in lambda1 1.182 * [taylor]: Taking taylor expansion of 0 in lambda2 1.183 * [approximate]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in (phi1 phi2 lambda1 lambda2) around 0 1.183 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in lambda2 1.183 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 1.183 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 1.183 * [taylor]: Taking taylor expansion of -1 in lambda2 1.183 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.183 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in lambda2 1.183 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 1.183 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 1.183 * [taylor]: Taking taylor expansion of -1 in lambda2 1.183 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.183 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in lambda2 1.183 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda2 1.183 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda2 1.183 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.183 * [taylor]: Taking taylor expansion of -1 in lambda2 1.183 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.184 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda2 1.184 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.184 * [taylor]: Taking taylor expansion of -1 in lambda2 1.184 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.184 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.184 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.184 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.184 * [taylor]: Taking taylor expansion of -1 in lambda2 1.184 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.184 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.184 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.184 * [taylor]: Taking taylor expansion of -1 in lambda2 1.184 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.185 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in lambda1 1.185 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 1.185 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 1.185 * [taylor]: Taking taylor expansion of -1 in lambda1 1.185 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.185 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in lambda1 1.185 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 1.185 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 1.185 * [taylor]: Taking taylor expansion of -1 in lambda1 1.185 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.185 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in lambda1 1.185 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda1 1.185 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda1 1.185 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.185 * [taylor]: Taking taylor expansion of -1 in lambda1 1.185 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.185 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda1 1.185 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.185 * [taylor]: Taking taylor expansion of -1 in lambda1 1.185 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.185 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.185 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.185 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.185 * [taylor]: Taking taylor expansion of -1 in lambda1 1.186 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.186 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.186 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.186 * [taylor]: Taking taylor expansion of -1 in lambda1 1.186 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.186 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in phi2 1.186 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 1.186 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.186 * [taylor]: Taking taylor expansion of -1 in phi2 1.186 * [taylor]: Taking taylor expansion of phi1 in phi2 1.186 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in phi2 1.186 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 1.186 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.186 * [taylor]: Taking taylor expansion of -1 in phi2 1.186 * [taylor]: Taking taylor expansion of phi2 in phi2 1.187 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in phi2 1.187 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi2 1.187 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi2 1.187 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 1.187 * [taylor]: Taking taylor expansion of -1 in phi2 1.187 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.187 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi2 1.187 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 1.187 * [taylor]: Taking taylor expansion of -1 in phi2 1.187 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.187 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in phi2 1.187 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi2 1.187 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 1.187 * [taylor]: Taking taylor expansion of -1 in phi2 1.187 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.187 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi2 1.187 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 1.187 * [taylor]: Taking taylor expansion of -1 in phi2 1.187 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.187 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in phi1 1.187 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 1.187 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.187 * [taylor]: Taking taylor expansion of -1 in phi1 1.187 * [taylor]: Taking taylor expansion of phi1 in phi1 1.188 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in phi1 1.188 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 1.188 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.188 * [taylor]: Taking taylor expansion of -1 in phi1 1.188 * [taylor]: Taking taylor expansion of phi2 in phi1 1.188 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in phi1 1.188 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi1 1.188 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi1 1.188 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 1.188 * [taylor]: Taking taylor expansion of -1 in phi1 1.188 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.188 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi1 1.188 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 1.188 * [taylor]: Taking taylor expansion of -1 in phi1 1.188 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.188 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in phi1 1.188 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi1 1.188 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 1.188 * [taylor]: Taking taylor expansion of -1 in phi1 1.188 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.188 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi1 1.188 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 1.188 * [taylor]: Taking taylor expansion of -1 in phi1 1.188 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.188 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in phi1 1.188 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 1.188 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.189 * [taylor]: Taking taylor expansion of -1 in phi1 1.189 * [taylor]: Taking taylor expansion of phi1 in phi1 1.189 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in phi1 1.189 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 1.189 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.189 * [taylor]: Taking taylor expansion of -1 in phi1 1.189 * [taylor]: Taking taylor expansion of phi2 in phi1 1.189 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in phi1 1.189 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi1 1.189 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi1 1.189 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 1.189 * [taylor]: Taking taylor expansion of -1 in phi1 1.189 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.189 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi1 1.189 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 1.189 * [taylor]: Taking taylor expansion of -1 in phi1 1.189 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.189 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in phi1 1.189 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi1 1.189 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 1.189 * [taylor]: Taking taylor expansion of -1 in phi1 1.189 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.190 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi1 1.190 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 1.190 * [taylor]: Taking taylor expansion of -1 in phi1 1.190 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.192 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in phi2 1.192 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 1.192 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.192 * [taylor]: Taking taylor expansion of -1 in phi2 1.192 * [taylor]: Taking taylor expansion of phi1 in phi2 1.192 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in phi2 1.192 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 1.192 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.192 * [taylor]: Taking taylor expansion of -1 in phi2 1.192 * [taylor]: Taking taylor expansion of phi2 in phi2 1.192 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in phi2 1.192 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi2 1.192 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi2 1.192 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 1.192 * [taylor]: Taking taylor expansion of -1 in phi2 1.192 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.192 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi2 1.193 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 1.193 * [taylor]: Taking taylor expansion of -1 in phi2 1.193 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.193 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in phi2 1.193 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi2 1.193 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 1.193 * [taylor]: Taking taylor expansion of -1 in phi2 1.193 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.193 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi2 1.193 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 1.193 * [taylor]: Taking taylor expansion of -1 in phi2 1.193 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.195 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in lambda1 1.195 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 1.195 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 1.195 * [taylor]: Taking taylor expansion of -1 in lambda1 1.195 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.195 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in lambda1 1.195 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 1.195 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 1.195 * [taylor]: Taking taylor expansion of -1 in lambda1 1.195 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.195 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in lambda1 1.195 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda1 1.195 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda1 1.195 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.195 * [taylor]: Taking taylor expansion of -1 in lambda1 1.195 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.196 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda1 1.196 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.196 * [taylor]: Taking taylor expansion of -1 in lambda1 1.196 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.196 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.196 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.196 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.196 * [taylor]: Taking taylor expansion of -1 in lambda1 1.196 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.196 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.196 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.196 * [taylor]: Taking taylor expansion of -1 in lambda1 1.196 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.198 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in lambda2 1.198 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 1.198 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 1.198 * [taylor]: Taking taylor expansion of -1 in lambda2 1.198 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.198 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in lambda2 1.198 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 1.198 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 1.198 * [taylor]: Taking taylor expansion of -1 in lambda2 1.199 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.199 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in lambda2 1.199 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda2 1.199 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda2 1.199 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.199 * [taylor]: Taking taylor expansion of -1 in lambda2 1.199 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.199 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda2 1.199 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.199 * [taylor]: Taking taylor expansion of -1 in lambda2 1.199 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.199 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.199 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.199 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.199 * [taylor]: Taking taylor expansion of -1 in lambda2 1.199 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.199 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.199 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.199 * [taylor]: Taking taylor expansion of -1 in lambda2 1.199 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.212 * [taylor]: Taking taylor expansion of 0 in phi2 1.212 * [taylor]: Taking taylor expansion of 0 in lambda1 1.212 * [taylor]: Taking taylor expansion of 0 in lambda2 1.222 * [taylor]: Taking taylor expansion of 0 in lambda1 1.222 * [taylor]: Taking taylor expansion of 0 in lambda2 1.230 * [taylor]: Taking taylor expansion of 0 in lambda2 1.251 * [taylor]: Taking taylor expansion of 0 in phi2 1.251 * [taylor]: Taking taylor expansion of 0 in lambda1 1.251 * [taylor]: Taking taylor expansion of 0 in lambda2 1.251 * [taylor]: Taking taylor expansion of 0 in lambda1 1.251 * [taylor]: Taking taylor expansion of 0 in lambda2 1.251 * * * [progress]: simplifying candidates 1.253 * [simplify]: Simplifying using # : (expm1 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log1p (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (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))))))) (expm1 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (log1p (* (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) (+ (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) (expm1 (* (sin phi1) (sin phi2))) (log1p (* (sin phi1) (sin phi2))) (- (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)) (expm1 (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (log1p (* (* (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)))) (+ (+ (log (cos phi1)) (log (cos phi2))) (log (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (+ (log (* (cos phi1) (cos phi2))) (log (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (log (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (exp (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))) (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))) (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (sqrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (sqrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (* (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) 2) (* 2 (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))))) (* 2 (* 2 2)) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (* 2 (+ (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (- (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (* 2 (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))) (* (* (cos phi1) (cos phi2)) (* (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (* (cos phi1) (cos phi2)) (sqrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (cos phi1) (cos phi2)) 1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (+ (* (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) 2) (* 2 (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))))) (* (* (cos phi1) (cos phi2)) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (* (* (cos phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (- 1 (+ (* 1/2 (pow phi1 2)) (* 1/2 (pow phi2 2)))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) 1.260 * * [simplify]: iteration 0 : 507 enodes (cost 1394 ) 1.270 * * [simplify]: iteration 1 : 2268 enodes (cost 1185 ) 1.314 * * [simplify]: iteration 2 : 5002 enodes (cost 1184 ) 1.322 * [simplify]: Simplified to: (expm1 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log1p (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (expm1 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (log1p (* (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) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (expm1 (* (sin phi1) (sin phi2))) (log1p (* (sin phi1) (sin 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)) (expm1 (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (log1p (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (cos phi1) (cos phi2)) (fma (cos lambda1) (cos lambda2) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (fma (cos lambda1) (cos lambda2) (* (sin lambda1) (sin lambda2)))) (log (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (log (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (log (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (pow (exp (* (cos phi1) (cos phi2))) (fma (cos lambda1) (cos lambda2) (* (sin lambda1) (sin lambda2)))) (pow (* (* (cos phi1) (cos phi2)) (fma (cos lambda1) (cos lambda2) (* (sin lambda1) (sin lambda2)))) 3) (pow (* (* (cos phi1) (cos phi2)) (fma (cos lambda1) (cos lambda2) (* (sin lambda1) (sin lambda2)))) 3) (* (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (pow (* (* (cos phi1) (cos phi2)) (fma (cos lambda1) (cos lambda2) (* (sin lambda1) (sin lambda2)))) 3) (sqrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (sqrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (fma (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) 2 (* 2 (- (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))) (* (+ (* (* (sin lambda1) (sin lambda2)) (- (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2)))) 2) (* (* (fma (cos lambda1) (cos lambda2) (* (sin lambda1) (sin lambda2))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2)))) (* 2 (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (* (cos phi1) (cos phi2)) (sqrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (cos phi1) (cos phi2)) (* (fma (cos lambda1) (cos lambda2) (* (sin lambda1) (sin lambda2))) (cos phi2)) (* (cos phi1) (* (cos phi2) (fma (+ (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) (* (fma (cos lambda1) (cos lambda2) (* (sin lambda1) (sin lambda2))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (fma (cos lambda1) (cos lambda2) (* (sin lambda1) (sin lambda2))) (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2)))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (fma (- 1/2) (fma phi1 phi1 (pow phi2 2)) 1) (* (* (cos phi1) (cos phi2)) (fma (cos lambda1) (cos lambda2) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (fma (cos lambda1) (cos lambda2) (* (sin lambda1) (sin lambda2)))) 1.322 * * * [progress]: adding candidates to table 1.753 * * [progress]: iteration 3 / 4 1.753 * * * [progress]: picking best candidate 1.850 * * * * [pick]: Picked # 1.850 * * * [progress]: localizing error 1.883 * * * [progress]: generating rewritten candidates 1.883 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.884 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.887 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2) 1.901 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 1.909 * * * [progress]: generating series expansions 1.909 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.909 * [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 1.909 * [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 1.910 * [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 1.910 * [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 1.910 * [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 1.911 * [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 1.911 * [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 1.912 * [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 1.912 * [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 1.913 * [taylor]: Taking taylor expansion of 0 in phi2 1.913 * [taylor]: Taking taylor expansion of 0 in lambda1 1.913 * [taylor]: Taking taylor expansion of 0 in lambda2 1.913 * [taylor]: Taking taylor expansion of 0 in lambda1 1.913 * [taylor]: Taking taylor expansion of 0 in lambda2 1.913 * [taylor]: Taking taylor expansion of 0 in lambda2 1.913 * [taylor]: Taking taylor expansion of 0 in phi2 1.913 * [taylor]: Taking taylor expansion of 0 in lambda1 1.913 * [taylor]: Taking taylor expansion of 0 in lambda2 1.913 * [taylor]: Taking taylor expansion of 0 in lambda1 1.913 * [taylor]: Taking taylor expansion of 0 in lambda2 1.914 * [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 1.914 * [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 1.915 * [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 1.915 * [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 1.916 * [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 1.916 * [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 1.917 * [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 1.917 * [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 1.918 * [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 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 1.919 * [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 (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.920 * [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 1.921 * [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 1.921 * [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 1.922 * [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 1.922 * [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 1.923 * [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 1.923 * [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 1.924 * [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 1.925 * [taylor]: Taking taylor expansion of 0 in phi2 1.925 * [taylor]: Taking taylor expansion of 0 in lambda1 1.925 * [taylor]: Taking taylor expansion of 0 in lambda2 1.925 * [taylor]: Taking taylor expansion of 0 in lambda1 1.925 * [taylor]: Taking taylor expansion of 0 in lambda2 1.925 * [taylor]: Taking taylor expansion of 0 in lambda2 1.925 * [taylor]: Taking taylor expansion of 0 in phi2 1.925 * [taylor]: Taking taylor expansion of 0 in lambda1 1.925 * [taylor]: Taking taylor expansion of 0 in lambda2 1.925 * [taylor]: Taking taylor expansion of 0 in lambda1 1.925 * [taylor]: Taking taylor expansion of 0 in lambda2 1.926 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.926 * [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 1.926 * [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 1.926 * [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 1.927 * [taylor]: Taking taylor expansion of R in R 1.927 * [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 1.927 * [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 1.927 * [taylor]: Taking taylor expansion of R in lambda2 1.927 * [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 1.927 * [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 1.928 * [taylor]: Taking taylor expansion of R in lambda1 1.928 * [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 1.928 * [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 1.928 * [taylor]: Taking taylor expansion of R in phi2 1.928 * [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 1.928 * [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 1.929 * [taylor]: Taking taylor expansion of R in phi1 1.929 * [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 1.929 * [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 1.929 * [taylor]: Taking taylor expansion of R in phi1 1.930 * [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 1.930 * [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 1.930 * [taylor]: Taking taylor expansion of R in phi2 1.930 * [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 1.930 * [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 1.931 * [taylor]: Taking taylor expansion of R in lambda1 1.931 * [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 1.931 * [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 1.931 * [taylor]: Taking taylor expansion of R in lambda2 1.932 * [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 1.932 * [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 1.932 * [taylor]: Taking taylor expansion of R in R 1.933 * [taylor]: Taking taylor expansion of 0 in phi2 1.933 * [taylor]: Taking taylor expansion of 0 in lambda1 1.933 * [taylor]: Taking taylor expansion of 0 in lambda2 1.933 * [taylor]: Taking taylor expansion of 0 in R 1.933 * [taylor]: Taking taylor expansion of 0 in lambda1 1.934 * [taylor]: Taking taylor expansion of 0 in lambda2 1.934 * [taylor]: Taking taylor expansion of 0 in R 1.934 * [taylor]: Taking taylor expansion of 0 in lambda2 1.934 * [taylor]: Taking taylor expansion of 0 in R 1.934 * [taylor]: Taking taylor expansion of 0 in R 1.936 * [taylor]: Taking taylor expansion of 0 in phi2 1.936 * [taylor]: Taking taylor expansion of 0 in lambda1 1.937 * [taylor]: Taking taylor expansion of 0 in lambda2 1.937 * [taylor]: Taking taylor expansion of 0 in R 1.937 * [taylor]: Taking taylor expansion of 0 in lambda1 1.937 * [taylor]: Taking taylor expansion of 0 in lambda2 1.937 * [taylor]: Taking taylor expansion of 0 in R 1.937 * [taylor]: Taking taylor expansion of 0 in lambda1 1.937 * [taylor]: Taking taylor expansion of 0 in lambda2 1.937 * [taylor]: Taking taylor expansion of 0 in R 1.937 * [taylor]: Taking taylor expansion of 0 in lambda2 1.937 * [taylor]: Taking taylor expansion of 0 in R 1.937 * [taylor]: Taking taylor expansion of 0 in lambda2 1.937 * [taylor]: Taking taylor expansion of 0 in R 1.938 * [taylor]: Taking taylor expansion of 0 in lambda2 1.938 * [taylor]: Taking taylor expansion of 0 in R 1.940 * [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 1.940 * [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 1.940 * [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 1.940 * [taylor]: Taking taylor expansion of R in R 1.941 * [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 1.941 * [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 1.941 * [taylor]: Taking taylor expansion of R in lambda2 1.942 * [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 1.942 * [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 1.942 * [taylor]: Taking taylor expansion of R in lambda1 1.943 * [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 1.943 * [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 1.943 * [taylor]: Taking taylor expansion of R in phi2 1.944 * [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 1.944 * [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 1.944 * [taylor]: Taking taylor expansion of R in phi1 1.945 * [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 1.945 * [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 1.945 * [taylor]: Taking taylor expansion of R in phi1 1.946 * [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 1.946 * [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 1.946 * [taylor]: Taking taylor expansion of R in phi2 1.947 * [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 1.947 * [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 1.948 * [taylor]: Taking taylor expansion of R in lambda1 1.948 * [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 1.948 * [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 1.949 * [taylor]: Taking taylor expansion of R in lambda2 1.949 * [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 1.949 * [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 1.950 * [taylor]: Taking taylor expansion of R in R 1.951 * [taylor]: Taking taylor expansion of 0 in phi2 1.951 * [taylor]: Taking taylor expansion of 0 in lambda1 1.951 * [taylor]: Taking taylor expansion of 0 in lambda2 1.951 * [taylor]: Taking taylor expansion of 0 in R 1.952 * [taylor]: Taking taylor expansion of 0 in lambda1 1.952 * [taylor]: Taking taylor expansion of 0 in lambda2 1.952 * [taylor]: Taking taylor expansion of 0 in R 1.953 * [taylor]: Taking taylor expansion of 0 in lambda2 1.953 * [taylor]: Taking taylor expansion of 0 in R 1.953 * [taylor]: Taking taylor expansion of 0 in R 1.955 * [taylor]: Taking taylor expansion of 0 in phi2 1.955 * [taylor]: Taking taylor expansion of 0 in lambda1 1.955 * [taylor]: Taking taylor expansion of 0 in lambda2 1.955 * [taylor]: Taking taylor expansion of 0 in R 1.955 * [taylor]: Taking taylor expansion of 0 in lambda1 1.956 * [taylor]: Taking taylor expansion of 0 in lambda2 1.956 * [taylor]: Taking taylor expansion of 0 in R 1.956 * [taylor]: Taking taylor expansion of 0 in lambda1 1.956 * [taylor]: Taking taylor expansion of 0 in lambda2 1.956 * [taylor]: Taking taylor expansion of 0 in R 1.956 * [taylor]: Taking taylor expansion of 0 in lambda2 1.956 * [taylor]: Taking taylor expansion of 0 in R 1.956 * [taylor]: Taking taylor expansion of 0 in lambda2 1.956 * [taylor]: Taking taylor expansion of 0 in R 1.957 * [taylor]: Taking taylor expansion of 0 in lambda2 1.957 * [taylor]: Taking taylor expansion of 0 in R 1.957 * [taylor]: Taking taylor expansion of 0 in R 1.957 * [taylor]: Taking taylor expansion of 0 in R 1.957 * [taylor]: Taking taylor expansion of 0 in R 1.958 * [taylor]: Taking taylor expansion of 0 in R 1.961 * [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 1.961 * [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 1.961 * [taylor]: Taking taylor expansion of -1 in R 1.961 * [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 1.961 * [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 1.962 * [taylor]: Taking taylor expansion of R in R 1.962 * [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 1.962 * [taylor]: Taking taylor expansion of -1 in lambda2 1.962 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 1.962 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.963 * [taylor]: Taking taylor expansion of R in lambda2 1.963 * [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 1.963 * [taylor]: Taking taylor expansion of -1 in lambda1 1.963 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 1.963 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.964 * [taylor]: Taking taylor expansion of R in lambda1 1.964 * [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 1.965 * [taylor]: Taking taylor expansion of -1 in phi2 1.965 * [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 1.965 * [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 1.965 * [taylor]: Taking taylor expansion of R in phi2 1.966 * [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 1.966 * [taylor]: Taking taylor expansion of -1 in phi1 1.966 * [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 1.966 * [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 1.966 * [taylor]: Taking taylor expansion of R in phi1 1.967 * [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 1.967 * [taylor]: Taking taylor expansion of -1 in phi1 1.967 * [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 1.967 * [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 1.967 * [taylor]: Taking taylor expansion of R in phi1 1.968 * [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 1.968 * [taylor]: Taking taylor expansion of -1 in phi2 1.968 * [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 1.968 * [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 1.969 * [taylor]: Taking taylor expansion of R in phi2 1.970 * [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 1.970 * [taylor]: Taking taylor expansion of -1 in lambda1 1.970 * [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 1.970 * [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 1.970 * [taylor]: Taking taylor expansion of R in lambda1 1.972 * [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 1.972 * [taylor]: Taking taylor expansion of -1 in lambda2 1.972 * [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 1.972 * [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 1.972 * [taylor]: Taking taylor expansion of R in lambda2 1.973 * [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 1.973 * [taylor]: Taking taylor expansion of -1 in R 1.973 * [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 1.973 * [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 1.974 * [taylor]: Taking taylor expansion of R in R 1.977 * [taylor]: Taking taylor expansion of 0 in phi2 1.977 * [taylor]: Taking taylor expansion of 0 in lambda1 1.977 * [taylor]: Taking taylor expansion of 0 in lambda2 1.977 * [taylor]: Taking taylor expansion of 0 in R 1.979 * [taylor]: Taking taylor expansion of 0 in lambda1 1.979 * [taylor]: Taking taylor expansion of 0 in lambda2 1.979 * [taylor]: Taking taylor expansion of 0 in R 1.981 * [taylor]: Taking taylor expansion of 0 in lambda2 1.981 * [taylor]: Taking taylor expansion of 0 in R 1.982 * [taylor]: Taking taylor expansion of 0 in R 1.988 * [taylor]: Taking taylor expansion of 0 in phi2 1.988 * [taylor]: Taking taylor expansion of 0 in lambda1 1.988 * [taylor]: Taking taylor expansion of 0 in lambda2 1.988 * [taylor]: Taking taylor expansion of 0 in R 1.988 * [taylor]: Taking taylor expansion of 0 in lambda1 1.988 * [taylor]: Taking taylor expansion of 0 in lambda2 1.988 * [taylor]: Taking taylor expansion of 0 in R 1.990 * [taylor]: Taking taylor expansion of 0 in lambda1 1.990 * [taylor]: Taking taylor expansion of 0 in lambda2 1.990 * [taylor]: Taking taylor expansion of 0 in R 1.990 * [taylor]: Taking taylor expansion of 0 in lambda2 1.990 * [taylor]: Taking taylor expansion of 0 in R 1.990 * [taylor]: Taking taylor expansion of 0 in lambda2 1.990 * [taylor]: Taking taylor expansion of 0 in R 1.992 * [taylor]: Taking taylor expansion of 0 in lambda2 1.992 * [taylor]: Taking taylor expansion of 0 in R 1.992 * [taylor]: Taking taylor expansion of 0 in R 1.992 * [taylor]: Taking taylor expansion of 0 in R 1.992 * [taylor]: Taking taylor expansion of 0 in R 1.994 * [taylor]: Taking taylor expansion of 0 in R 1.998 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2) 1.998 * [approximate]: Taking taylor expansion of (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) in (phi1 phi2 lambda1 lambda2) around 0 1.998 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) in lambda2 1.998 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 1.998 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.998 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (sin lambda2))) in lambda2 1.998 * [taylor]: Taking taylor expansion of (cos phi1) in lambda2 1.998 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.998 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in lambda2 1.998 * [taylor]: Taking taylor expansion of (cos phi2) in lambda2 1.998 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.998 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.998 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.998 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) in lambda1 1.998 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.998 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.999 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (sin lambda2))) in lambda1 1.999 * [taylor]: Taking taylor expansion of (cos phi1) in lambda1 1.999 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.999 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in lambda1 1.999 * [taylor]: Taking taylor expansion of (cos phi2) in lambda1 1.999 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.999 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.999 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.999 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) in phi2 1.999 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 1.999 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.999 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (sin lambda2))) in phi2 1.999 * [taylor]: Taking taylor expansion of (cos phi1) in phi2 1.999 * [taylor]: Taking taylor expansion of phi1 in phi2 1.999 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in phi2 1.999 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 1.999 * [taylor]: Taking taylor expansion of phi2 in phi2 1.999 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 1.999 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.999 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) in phi1 1.999 * [taylor]: Taking taylor expansion of (sin lambda1) in phi1 1.999 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.999 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (sin lambda2))) in phi1 1.999 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 1.999 * [taylor]: Taking taylor expansion of phi1 in phi1 1.999 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in phi1 1.999 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 1.999 * [taylor]: Taking taylor expansion of phi2 in phi1 1.999 * [taylor]: Taking taylor expansion of (sin lambda2) in phi1 1.999 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.999 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) in phi1 1.999 * [taylor]: Taking taylor expansion of (sin lambda1) in phi1 1.999 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.999 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (sin lambda2))) in phi1 1.999 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 1.999 * [taylor]: Taking taylor expansion of phi1 in phi1 1.999 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in phi1 1.999 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 1.999 * [taylor]: Taking taylor expansion of phi2 in phi1 2.000 * [taylor]: Taking taylor expansion of (sin lambda2) in phi1 2.000 * [taylor]: Taking taylor expansion of lambda2 in phi1 2.000 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi2) (sin lambda2))) in phi2 2.000 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 2.000 * [taylor]: Taking taylor expansion of lambda1 in phi2 2.000 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in phi2 2.000 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 2.000 * [taylor]: Taking taylor expansion of phi2 in phi2 2.000 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 2.001 * [taylor]: Taking taylor expansion of lambda2 in phi2 2.001 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 2.001 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.001 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.001 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 2.001 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.001 * [taylor]: Taking taylor expansion of 0 in lambda2 2.006 * [taylor]: Taking taylor expansion of 0 in phi2 2.007 * [taylor]: Taking taylor expansion of 0 in lambda1 2.007 * [taylor]: Taking taylor expansion of 0 in lambda2 2.010 * [taylor]: Taking taylor expansion of 0 in lambda1 2.010 * [taylor]: Taking taylor expansion of 0 in lambda2 2.013 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 2.013 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.021 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sin lambda1) (* (cos phi2) (sin lambda2))))) in phi2 2.021 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (* (cos phi2) (sin lambda2)))) in phi2 2.021 * [taylor]: Taking taylor expansion of 1/2 in phi2 2.021 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi2) (sin lambda2))) in phi2 2.021 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 2.021 * [taylor]: Taking taylor expansion of lambda1 in phi2 2.021 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in phi2 2.021 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 2.021 * [taylor]: Taking taylor expansion of phi2 in phi2 2.021 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 2.021 * [taylor]: Taking taylor expansion of lambda2 in phi2 2.021 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sin lambda1) (sin lambda2)))) in lambda1 2.022 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (sin lambda2))) in lambda1 2.022 * [taylor]: Taking taylor expansion of 1/2 in lambda1 2.022 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 2.022 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.022 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.022 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 2.022 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.022 * [taylor]: Taking taylor expansion of 0 in lambda2 2.023 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) in (phi1 phi2 lambda1 lambda2) around 0 2.023 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) in lambda2 2.023 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 2.023 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.023 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.023 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in lambda2 2.023 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 2.023 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.023 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.023 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in lambda2 2.023 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 2.023 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 2.023 * [taylor]: Taking taylor expansion of phi2 in lambda2 2.023 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 2.023 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 2.023 * [taylor]: Taking taylor expansion of phi1 in lambda2 2.023 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) in lambda1 2.023 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 2.023 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.023 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.024 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in lambda1 2.024 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 2.024 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.024 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.024 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in lambda1 2.024 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 2.024 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 2.024 * [taylor]: Taking taylor expansion of phi2 in lambda1 2.024 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 2.024 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 2.024 * [taylor]: Taking taylor expansion of phi1 in lambda1 2.024 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) in phi2 2.024 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi2 2.024 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 2.024 * [taylor]: Taking taylor expansion of lambda1 in phi2 2.024 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in phi2 2.024 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi2 2.024 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 2.024 * [taylor]: Taking taylor expansion of lambda2 in phi2 2.024 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in phi2 2.024 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 2.024 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.025 * [taylor]: Taking taylor expansion of phi2 in phi2 2.025 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 2.025 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.025 * [taylor]: Taking taylor expansion of phi1 in phi2 2.025 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) in phi1 2.025 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi1 2.025 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 2.025 * [taylor]: Taking taylor expansion of lambda1 in phi1 2.025 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in phi1 2.025 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi1 2.025 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 2.025 * [taylor]: Taking taylor expansion of lambda2 in phi1 2.025 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in phi1 2.025 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 2.025 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.025 * [taylor]: Taking taylor expansion of phi2 in phi1 2.025 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 2.025 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.025 * [taylor]: Taking taylor expansion of phi1 in phi1 2.026 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) in phi1 2.026 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi1 2.026 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 2.026 * [taylor]: Taking taylor expansion of lambda1 in phi1 2.026 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in phi1 2.026 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi1 2.026 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 2.026 * [taylor]: Taking taylor expansion of lambda2 in phi1 2.026 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in phi1 2.026 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 2.026 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.026 * [taylor]: Taking taylor expansion of phi2 in phi1 2.026 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 2.026 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.026 * [taylor]: Taking taylor expansion of phi1 in phi1 2.027 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) in phi2 2.027 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi2 2.027 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 2.027 * [taylor]: Taking taylor expansion of lambda1 in phi2 2.028 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1)))) in phi2 2.028 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 2.028 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.028 * [taylor]: Taking taylor expansion of phi2 in phi2 2.028 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))) in phi2 2.028 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi2 2.028 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 2.028 * [taylor]: Taking taylor expansion of lambda2 in phi2 2.028 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 2.028 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.028 * [taylor]: Taking taylor expansion of phi1 in phi2 2.029 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) in lambda1 2.029 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 2.029 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.029 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.030 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in lambda1 2.030 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 2.030 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.030 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.030 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in lambda1 2.030 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 2.030 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 2.030 * [taylor]: Taking taylor expansion of phi2 in lambda1 2.030 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 2.030 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 2.030 * [taylor]: Taking taylor expansion of phi1 in lambda1 2.031 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) in lambda2 2.031 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 2.031 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.031 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.031 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1)))) in lambda2 2.031 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 2.031 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 2.031 * [taylor]: Taking taylor expansion of phi2 in lambda2 2.032 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))) in lambda2 2.032 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 2.032 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.032 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.032 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 2.032 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 2.032 * [taylor]: Taking taylor expansion of phi1 in lambda2 2.039 * [taylor]: Taking taylor expansion of 0 in phi2 2.039 * [taylor]: Taking taylor expansion of 0 in lambda1 2.039 * [taylor]: Taking taylor expansion of 0 in lambda2 2.044 * [taylor]: Taking taylor expansion of 0 in lambda1 2.045 * [taylor]: Taking taylor expansion of 0 in lambda2 2.050 * [taylor]: Taking taylor expansion of 0 in lambda2 2.063 * [taylor]: Taking taylor expansion of 0 in phi2 2.063 * [taylor]: Taking taylor expansion of 0 in lambda1 2.063 * [taylor]: Taking taylor expansion of 0 in lambda2 2.063 * [taylor]: Taking taylor expansion of 0 in lambda1 2.063 * [taylor]: Taking taylor expansion of 0 in lambda2 2.064 * [approximate]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in (phi1 phi2 lambda1 lambda2) around 0 2.064 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in lambda2 2.064 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 2.064 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 2.064 * [taylor]: Taking taylor expansion of -1 in lambda2 2.064 * [taylor]: Taking taylor expansion of phi1 in lambda2 2.064 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in lambda2 2.064 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 2.064 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.064 * [taylor]: Taking taylor expansion of -1 in lambda2 2.064 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.064 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in lambda2 2.064 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 2.064 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 2.064 * [taylor]: Taking taylor expansion of -1 in lambda2 2.064 * [taylor]: Taking taylor expansion of phi2 in lambda2 2.064 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 2.064 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 2.064 * [taylor]: Taking taylor expansion of -1 in lambda2 2.064 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.065 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in lambda1 2.065 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 2.065 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 2.065 * [taylor]: Taking taylor expansion of -1 in lambda1 2.065 * [taylor]: Taking taylor expansion of phi1 in lambda1 2.065 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in lambda1 2.065 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 2.065 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.065 * [taylor]: Taking taylor expansion of -1 in lambda1 2.065 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.065 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in lambda1 2.065 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 2.066 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 2.066 * [taylor]: Taking taylor expansion of -1 in lambda1 2.066 * [taylor]: Taking taylor expansion of phi2 in lambda1 2.066 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 2.066 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 2.066 * [taylor]: Taking taylor expansion of -1 in lambda1 2.066 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.066 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in phi2 2.066 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 2.066 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.066 * [taylor]: Taking taylor expansion of -1 in phi2 2.066 * [taylor]: Taking taylor expansion of phi1 in phi2 2.066 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in phi2 2.066 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi2 2.066 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 2.066 * [taylor]: Taking taylor expansion of -1 in phi2 2.066 * [taylor]: Taking taylor expansion of lambda1 in phi2 2.066 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in phi2 2.066 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 2.066 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.066 * [taylor]: Taking taylor expansion of -1 in phi2 2.066 * [taylor]: Taking taylor expansion of phi2 in phi2 2.067 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi2 2.067 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 2.067 * [taylor]: Taking taylor expansion of -1 in phi2 2.067 * [taylor]: Taking taylor expansion of lambda2 in phi2 2.067 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in phi1 2.067 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 2.067 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.067 * [taylor]: Taking taylor expansion of -1 in phi1 2.067 * [taylor]: Taking taylor expansion of phi1 in phi1 2.067 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in phi1 2.067 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi1 2.067 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 2.067 * [taylor]: Taking taylor expansion of -1 in phi1 2.067 * [taylor]: Taking taylor expansion of lambda1 in phi1 2.067 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in phi1 2.067 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 2.067 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.067 * [taylor]: Taking taylor expansion of -1 in phi1 2.067 * [taylor]: Taking taylor expansion of phi2 in phi1 2.067 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi1 2.067 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 2.067 * [taylor]: Taking taylor expansion of -1 in phi1 2.067 * [taylor]: Taking taylor expansion of lambda2 in phi1 2.068 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in phi1 2.068 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 2.068 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.068 * [taylor]: Taking taylor expansion of -1 in phi1 2.068 * [taylor]: Taking taylor expansion of phi1 in phi1 2.068 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in phi1 2.068 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi1 2.068 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 2.068 * [taylor]: Taking taylor expansion of -1 in phi1 2.068 * [taylor]: Taking taylor expansion of lambda1 in phi1 2.068 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in phi1 2.068 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 2.068 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.068 * [taylor]: Taking taylor expansion of -1 in phi1 2.068 * [taylor]: Taking taylor expansion of phi2 in phi1 2.068 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi1 2.068 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 2.068 * [taylor]: Taking taylor expansion of -1 in phi1 2.068 * [taylor]: Taking taylor expansion of lambda2 in phi1 2.069 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in phi2 2.069 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 2.069 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.069 * [taylor]: Taking taylor expansion of -1 in phi2 2.069 * [taylor]: Taking taylor expansion of phi1 in phi2 2.070 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in phi2 2.070 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi2 2.070 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 2.070 * [taylor]: Taking taylor expansion of -1 in phi2 2.070 * [taylor]: Taking taylor expansion of lambda1 in phi2 2.070 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in phi2 2.070 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 2.070 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.070 * [taylor]: Taking taylor expansion of -1 in phi2 2.070 * [taylor]: Taking taylor expansion of phi2 in phi2 2.070 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi2 2.070 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 2.070 * [taylor]: Taking taylor expansion of -1 in phi2 2.070 * [taylor]: Taking taylor expansion of lambda2 in phi2 2.071 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in lambda1 2.071 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 2.071 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 2.071 * [taylor]: Taking taylor expansion of -1 in lambda1 2.071 * [taylor]: Taking taylor expansion of phi1 in lambda1 2.071 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in lambda1 2.071 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 2.071 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.071 * [taylor]: Taking taylor expansion of -1 in lambda1 2.071 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.072 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in lambda1 2.072 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 2.072 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 2.072 * [taylor]: Taking taylor expansion of -1 in lambda1 2.072 * [taylor]: Taking taylor expansion of phi2 in lambda1 2.072 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 2.072 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 2.072 * [taylor]: Taking taylor expansion of -1 in lambda1 2.072 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.073 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in lambda2 2.073 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 2.073 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 2.073 * [taylor]: Taking taylor expansion of -1 in lambda2 2.073 * [taylor]: Taking taylor expansion of phi1 in lambda2 2.073 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in lambda2 2.073 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 2.073 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.073 * [taylor]: Taking taylor expansion of -1 in lambda2 2.073 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.074 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in lambda2 2.074 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 2.074 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 2.074 * [taylor]: Taking taylor expansion of -1 in lambda2 2.074 * [taylor]: Taking taylor expansion of phi2 in lambda2 2.074 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 2.074 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 2.074 * [taylor]: Taking taylor expansion of -1 in lambda2 2.074 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.084 * [taylor]: Taking taylor expansion of 0 in phi2 2.084 * [taylor]: Taking taylor expansion of 0 in lambda1 2.084 * [taylor]: Taking taylor expansion of 0 in lambda2 2.090 * [taylor]: Taking taylor expansion of 0 in lambda1 2.090 * [taylor]: Taking taylor expansion of 0 in lambda2 2.095 * [taylor]: Taking taylor expansion of 0 in lambda2 2.109 * [taylor]: Taking taylor expansion of 0 in phi2 2.109 * [taylor]: Taking taylor expansion of 0 in lambda1 2.109 * [taylor]: Taking taylor expansion of 0 in lambda2 2.109 * [taylor]: Taking taylor expansion of 0 in lambda1 2.109 * [taylor]: Taking taylor expansion of 0 in lambda2 2.109 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 2.109 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 2.109 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 2.109 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 2.110 * [taylor]: Taking taylor expansion of phi1 in phi2 2.110 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.110 * [taylor]: Taking taylor expansion of phi2 in phi2 2.110 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 2.110 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 2.110 * [taylor]: Taking taylor expansion of phi1 in phi1 2.110 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 2.110 * [taylor]: Taking taylor expansion of phi2 in phi1 2.110 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 2.110 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 2.110 * [taylor]: Taking taylor expansion of phi1 in phi1 2.110 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 2.110 * [taylor]: Taking taylor expansion of phi2 in phi1 2.110 * [taylor]: Taking taylor expansion of 0 in phi2 2.112 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.112 * [taylor]: Taking taylor expansion of phi2 in phi2 2.115 * [taylor]: Taking taylor expansion of 0 in phi2 2.120 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 2.120 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 2.120 * [taylor]: Taking taylor expansion of 1/6 in phi2 2.120 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.120 * [taylor]: Taking taylor expansion of phi2 in phi2 2.126 * [taylor]: Taking taylor expansion of 0 in phi2 2.126 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 2.126 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 2.126 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 2.126 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.126 * [taylor]: Taking taylor expansion of phi1 in phi2 2.127 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 2.127 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.127 * [taylor]: Taking taylor expansion of phi2 in phi2 2.127 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 2.127 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 2.127 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.127 * [taylor]: Taking taylor expansion of phi1 in phi1 2.127 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 2.127 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.127 * [taylor]: Taking taylor expansion of phi2 in phi1 2.127 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 2.127 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 2.127 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.127 * [taylor]: Taking taylor expansion of phi1 in phi1 2.128 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 2.128 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.128 * [taylor]: Taking taylor expansion of phi2 in phi1 2.128 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 2.128 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 2.128 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.128 * [taylor]: Taking taylor expansion of phi1 in phi2 2.128 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 2.128 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.128 * [taylor]: Taking taylor expansion of phi2 in phi2 2.131 * [taylor]: Taking taylor expansion of 0 in phi2 2.135 * [taylor]: Taking taylor expansion of 0 in phi2 2.141 * [taylor]: Taking taylor expansion of 0 in phi2 2.141 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 2.141 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 2.141 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 2.141 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.141 * [taylor]: Taking taylor expansion of -1 in phi2 2.141 * [taylor]: Taking taylor expansion of phi1 in phi2 2.141 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 2.141 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.141 * [taylor]: Taking taylor expansion of -1 in phi2 2.141 * [taylor]: Taking taylor expansion of phi2 in phi2 2.142 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 2.142 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 2.142 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.142 * [taylor]: Taking taylor expansion of -1 in phi1 2.142 * [taylor]: Taking taylor expansion of phi1 in phi1 2.142 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 2.142 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.142 * [taylor]: Taking taylor expansion of -1 in phi1 2.142 * [taylor]: Taking taylor expansion of phi2 in phi1 2.142 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 2.142 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 2.142 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.142 * [taylor]: Taking taylor expansion of -1 in phi1 2.142 * [taylor]: Taking taylor expansion of phi1 in phi1 2.143 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 2.143 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.143 * [taylor]: Taking taylor expansion of -1 in phi1 2.143 * [taylor]: Taking taylor expansion of phi2 in phi1 2.143 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 2.143 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 2.143 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.143 * [taylor]: Taking taylor expansion of -1 in phi2 2.143 * [taylor]: Taking taylor expansion of phi1 in phi2 2.143 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 2.143 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.143 * [taylor]: Taking taylor expansion of -1 in phi2 2.143 * [taylor]: Taking taylor expansion of phi2 in phi2 2.145 * [taylor]: Taking taylor expansion of 0 in phi2 2.150 * [taylor]: Taking taylor expansion of 0 in phi2 2.155 * [taylor]: Taking taylor expansion of 0 in phi2 2.156 * * * [progress]: simplifying candidates 2.157 * [simplify]: Simplifying using # : (expm1 (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (log1p (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (expm1 (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (log1p (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R) (expm1 (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (log1p (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (+ (+ (log (cos phi1)) (log (cos phi2))) (+ (log (sin lambda1)) (log (sin lambda2)))) (+ (+ (log (cos phi1)) (log (cos phi2))) (log (* (sin lambda1) (sin lambda2)))) (+ (log (* (cos phi1) (cos phi2))) (+ (log (sin lambda1)) (log (sin lambda2)))) (+ (log (* (cos phi1) (cos phi2))) (log (* (sin lambda1) (sin lambda2)))) (log (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (* (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2)))) (* (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))) (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2)))) (* (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2)))) (* (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))) (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2)))) (* (cbrt (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (cbrt (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))) (cbrt (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (* (* (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (sqrt (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (sqrt (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))) (* 2 2) (* (* (cos phi1) (cos phi2)) (sin lambda1)) (* (cos phi2) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (* (sin lambda1) (sin lambda2))) (expm1 (* (sin phi1) (sin phi2))) (log1p (* (sin phi1) (sin phi2))) (- (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 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) 0 (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 2.163 * * [simplify]: iteration 0 : 355 enodes (cost 1357 ) 2.170 * * [simplify]: iteration 1 : 1285 enodes (cost 1141 ) 2.197 * * [simplify]: iteration 2 : 5001 enodes (cost 1141 ) 2.201 * [simplify]: Simplified to: (expm1 (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (log1p (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (expm1 (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (log1p (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R) (expm1 (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (log1p (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (log (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (log (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (log (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (log (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (log (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (pow (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) 3) (pow (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) 3) (pow (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) 3) (pow (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) 3) (* (cbrt (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (cbrt (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))) (cbrt (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (pow (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) 3) (sqrt (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (sqrt (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))) 4 (* (* (cos phi1) (cos phi2)) (sin lambda1)) (* (cos phi2) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (* (sin lambda1) (sin lambda2))) (expm1 (* (sin phi1) (sin phi2))) (log1p (* (sin phi1) (sin 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)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R) 0 (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 2.202 * * * [progress]: adding candidates to table 2.590 * * [progress]: iteration 4 / 4 2.590 * * * [progress]: picking best candidate 2.685 * * * * [pick]: Picked # 2.685 * * * [progress]: localizing error 2.727 * * * [progress]: generating rewritten candidates 2.727 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 2.728 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.730 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 2.731 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.739 * * * [progress]: generating series expansions 2.739 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 2.739 * [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 2.739 * [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 2.740 * [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 2.740 * [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 2.740 * [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 2.741 * [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 2.741 * [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 2.742 * [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 2.742 * [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 2.743 * [taylor]: Taking taylor expansion of 0 in phi2 2.743 * [taylor]: Taking taylor expansion of 0 in lambda1 2.743 * [taylor]: Taking taylor expansion of 0 in lambda2 2.743 * [taylor]: Taking taylor expansion of 0 in lambda1 2.743 * [taylor]: Taking taylor expansion of 0 in lambda2 2.743 * [taylor]: Taking taylor expansion of 0 in lambda2 2.743 * [taylor]: Taking taylor expansion of 0 in phi2 2.743 * [taylor]: Taking taylor expansion of 0 in lambda1 2.743 * [taylor]: Taking taylor expansion of 0 in lambda2 2.743 * [taylor]: Taking taylor expansion of 0 in lambda1 2.743 * [taylor]: Taking taylor expansion of 0 in lambda2 2.744 * [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 2.744 * [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 2.745 * [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 2.745 * [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 2.745 * [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 2.746 * [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 2.747 * [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 2.747 * [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 2.748 * [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 2.749 * [taylor]: Taking taylor expansion of 0 in phi2 2.749 * [taylor]: Taking taylor expansion of 0 in lambda1 2.749 * [taylor]: Taking taylor expansion of 0 in lambda2 2.749 * [taylor]: Taking taylor expansion of 0 in lambda1 2.749 * [taylor]: Taking taylor expansion of 0 in lambda2 2.749 * [taylor]: Taking taylor expansion of 0 in lambda2 2.749 * [taylor]: Taking taylor expansion of 0 in phi2 2.749 * [taylor]: Taking taylor expansion of 0 in lambda1 2.749 * [taylor]: Taking taylor expansion of 0 in lambda2 2.749 * [taylor]: Taking taylor expansion of 0 in lambda1 2.749 * [taylor]: Taking taylor expansion of 0 in lambda2 2.750 * [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 2.750 * [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 2.751 * [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 2.751 * [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 2.752 * [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 2.752 * [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 2.753 * [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 2.753 * [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 2.754 * [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 2.755 * [taylor]: Taking taylor expansion of 0 in phi2 2.755 * [taylor]: Taking taylor expansion of 0 in lambda1 2.755 * [taylor]: Taking taylor expansion of 0 in lambda2 2.755 * [taylor]: Taking taylor expansion of 0 in lambda1 2.755 * [taylor]: Taking taylor expansion of 0 in lambda2 2.755 * [taylor]: Taking taylor expansion of 0 in lambda2 2.755 * [taylor]: Taking taylor expansion of 0 in phi2 2.755 * [taylor]: Taking taylor expansion of 0 in lambda1 2.755 * [taylor]: Taking taylor expansion of 0 in lambda2 2.755 * [taylor]: Taking taylor expansion of 0 in lambda1 2.755 * [taylor]: Taking taylor expansion of 0 in lambda2 2.756 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.757 * [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 2.757 * [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 2.757 * [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 2.757 * [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 2.758 * [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 2.758 * [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 2.758 * [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 2.759 * [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 2.759 * [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 2.760 * [taylor]: Taking taylor expansion of 0 in phi2 2.760 * [taylor]: Taking taylor expansion of 0 in lambda1 2.760 * [taylor]: Taking taylor expansion of 0 in lambda2 2.760 * [taylor]: Taking taylor expansion of 0 in lambda1 2.760 * [taylor]: Taking taylor expansion of 0 in lambda2 2.760 * [taylor]: Taking taylor expansion of 0 in lambda2 2.760 * [taylor]: Taking taylor expansion of 0 in phi2 2.760 * [taylor]: Taking taylor expansion of 0 in lambda1 2.760 * [taylor]: Taking taylor expansion of 0 in lambda2 2.760 * [taylor]: Taking taylor expansion of 0 in lambda1 2.760 * [taylor]: Taking taylor expansion of 0 in lambda2 2.761 * [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 2.761 * [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 2.762 * [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 2.762 * [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 2.763 * [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 2.763 * [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 2.764 * [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 2.764 * [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 2.765 * [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 2.766 * [taylor]: Taking taylor expansion of 0 in phi2 2.766 * [taylor]: Taking taylor expansion of 0 in lambda1 2.766 * [taylor]: Taking taylor expansion of 0 in lambda2 2.766 * [taylor]: Taking taylor expansion of 0 in lambda1 2.766 * [taylor]: Taking taylor expansion of 0 in lambda2 2.766 * [taylor]: Taking taylor expansion of 0 in lambda2 2.766 * [taylor]: Taking taylor expansion of 0 in phi2 2.766 * [taylor]: Taking taylor expansion of 0 in lambda1 2.766 * [taylor]: Taking taylor expansion of 0 in lambda2 2.766 * [taylor]: Taking taylor expansion of 0 in lambda1 2.766 * [taylor]: Taking taylor expansion of 0 in lambda2 2.768 * [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 2.768 * [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 2.768 * [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 2.769 * [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 2.769 * [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 2.770 * [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 2.770 * [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 2.771 * [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 2.771 * [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 2.772 * [taylor]: Taking taylor expansion of 0 in phi2 2.772 * [taylor]: Taking taylor expansion of 0 in lambda1 2.772 * [taylor]: Taking taylor expansion of 0 in lambda2 2.772 * [taylor]: Taking taylor expansion of 0 in lambda1 2.773 * [taylor]: Taking taylor expansion of 0 in lambda2 2.773 * [taylor]: Taking taylor expansion of 0 in lambda2 2.773 * [taylor]: Taking taylor expansion of 0 in phi2 2.773 * [taylor]: Taking taylor expansion of 0 in lambda1 2.773 * [taylor]: Taking taylor expansion of 0 in lambda2 2.773 * [taylor]: Taking taylor expansion of 0 in lambda1 2.773 * [taylor]: Taking taylor expansion of 0 in lambda2 2.773 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 2.774 * [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 2.774 * [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 2.774 * [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 2.775 * [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 2.775 * [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 2.776 * [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 2.776 * [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 2.776 * [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 2.776 * [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 2.777 * [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 2.777 * [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 2.778 * [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 2.778 * [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 2.779 * [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 2.779 * [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 2.780 * [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 2.780 * [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 2.782 * [taylor]: Taking taylor expansion of 0 in phi2 2.782 * [taylor]: Taking taylor expansion of 0 in lambda1 2.782 * [taylor]: Taking taylor expansion of 0 in lambda2 2.783 * [taylor]: Taking taylor expansion of 0 in lambda1 2.783 * [taylor]: Taking taylor expansion of 0 in lambda2 2.784 * [taylor]: Taking taylor expansion of 0 in lambda2 2.786 * [taylor]: Taking taylor expansion of 0 in phi2 2.786 * [taylor]: Taking taylor expansion of 0 in lambda1 2.786 * [taylor]: Taking taylor expansion of 0 in lambda2 2.786 * [taylor]: Taking taylor expansion of 0 in lambda1 2.786 * [taylor]: Taking taylor expansion of 0 in lambda2 2.787 * [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 2.787 * [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 2.787 * [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 2.788 * [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 2.788 * [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 2.789 * [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 2.789 * [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 2.790 * [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 2.790 * [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 2.791 * [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 2.791 * [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 2.793 * [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 2.793 * [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 2.794 * [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 2.794 * [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 2.795 * [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 2.795 * [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 2.797 * [taylor]: Taking taylor expansion of 0 in phi2 2.797 * [taylor]: Taking taylor expansion of 0 in lambda1 2.797 * [taylor]: Taking taylor expansion of 0 in lambda2 2.798 * [taylor]: Taking taylor expansion of 0 in lambda1 2.798 * [taylor]: Taking taylor expansion of 0 in lambda2 2.800 * [taylor]: Taking taylor expansion of 0 in lambda2 2.802 * [taylor]: Taking taylor expansion of 0 in phi2 2.802 * [taylor]: Taking taylor expansion of 0 in lambda1 2.802 * [taylor]: Taking taylor expansion of 0 in lambda2 2.802 * [taylor]: Taking taylor expansion of 0 in lambda1 2.802 * [taylor]: Taking taylor expansion of 0 in lambda2 2.804 * [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 2.804 * [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 2.804 * [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 2.805 * [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 2.805 * [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 2.809 * [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 2.809 * [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 2.810 * [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 2.810 * [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 2.811 * [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 2.811 * [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 2.812 * [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 2.812 * [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 2.813 * [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 2.813 * [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 2.814 * [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 2.814 * [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 2.817 * [taylor]: Taking taylor expansion of 0 in phi2 2.817 * [taylor]: Taking taylor expansion of 0 in lambda1 2.817 * [taylor]: Taking taylor expansion of 0 in lambda2 2.818 * [taylor]: Taking taylor expansion of 0 in lambda1 2.818 * [taylor]: Taking taylor expansion of 0 in lambda2 2.819 * [taylor]: Taking taylor expansion of 0 in lambda2 2.821 * [taylor]: Taking taylor expansion of 0 in phi2 2.822 * [taylor]: Taking taylor expansion of 0 in lambda1 2.822 * [taylor]: Taking taylor expansion of 0 in lambda2 2.822 * [taylor]: Taking taylor expansion of 0 in lambda1 2.822 * [taylor]: Taking taylor expansion of 0 in lambda2 2.822 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.823 * [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 2.823 * [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 2.823 * [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 2.824 * [taylor]: Taking taylor expansion of R in R 2.824 * [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 2.824 * [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 2.824 * [taylor]: Taking taylor expansion of R in lambda2 2.824 * [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 2.824 * [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 2.824 * [taylor]: Taking taylor expansion of R in lambda1 2.824 * [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 2.824 * [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 2.825 * [taylor]: Taking taylor expansion of R in phi2 2.825 * [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 2.825 * [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 2.825 * [taylor]: Taking taylor expansion of R in phi1 2.825 * [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 2.825 * [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 2.826 * [taylor]: Taking taylor expansion of R in phi1 2.826 * [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 2.826 * [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 2.826 * [taylor]: Taking taylor expansion of R in phi2 2.827 * [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 2.827 * [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 2.827 * [taylor]: Taking taylor expansion of R in lambda1 2.828 * [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 2.828 * [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 2.828 * [taylor]: Taking taylor expansion of R in lambda2 2.829 * [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 2.829 * [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 2.829 * [taylor]: Taking taylor expansion of R in R 2.830 * [taylor]: Taking taylor expansion of 0 in phi2 2.830 * [taylor]: Taking taylor expansion of 0 in lambda1 2.830 * [taylor]: Taking taylor expansion of 0 in lambda2 2.830 * [taylor]: Taking taylor expansion of 0 in R 2.830 * [taylor]: Taking taylor expansion of 0 in lambda1 2.830 * [taylor]: Taking taylor expansion of 0 in lambda2 2.830 * [taylor]: Taking taylor expansion of 0 in R 2.831 * [taylor]: Taking taylor expansion of 0 in lambda2 2.831 * [taylor]: Taking taylor expansion of 0 in R 2.831 * [taylor]: Taking taylor expansion of 0 in R 2.833 * [taylor]: Taking taylor expansion of 0 in phi2 2.833 * [taylor]: Taking taylor expansion of 0 in lambda1 2.833 * [taylor]: Taking taylor expansion of 0 in lambda2 2.833 * [taylor]: Taking taylor expansion of 0 in R 2.833 * [taylor]: Taking taylor expansion of 0 in lambda1 2.833 * [taylor]: Taking taylor expansion of 0 in lambda2 2.833 * [taylor]: Taking taylor expansion of 0 in R 2.834 * [taylor]: Taking taylor expansion of 0 in lambda1 2.834 * [taylor]: Taking taylor expansion of 0 in lambda2 2.834 * [taylor]: Taking taylor expansion of 0 in R 2.834 * [taylor]: Taking taylor expansion of 0 in lambda2 2.834 * [taylor]: Taking taylor expansion of 0 in R 2.834 * [taylor]: Taking taylor expansion of 0 in lambda2 2.834 * [taylor]: Taking taylor expansion of 0 in R 2.835 * [taylor]: Taking taylor expansion of 0 in lambda2 2.835 * [taylor]: Taking taylor expansion of 0 in R 2.837 * [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 2.837 * [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 2.837 * [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 2.837 * [taylor]: Taking taylor expansion of R in R 2.838 * [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 2.838 * [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 2.838 * [taylor]: Taking taylor expansion of R in lambda2 2.839 * [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 2.839 * [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 2.839 * [taylor]: Taking taylor expansion of R in lambda1 2.840 * [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 2.840 * [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 2.840 * [taylor]: Taking taylor expansion of R in phi2 2.841 * [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 2.841 * [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 2.841 * [taylor]: Taking taylor expansion of R in phi1 2.842 * [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 2.842 * [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 2.842 * [taylor]: Taking taylor expansion of R in phi1 2.843 * [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 2.843 * [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 2.843 * [taylor]: Taking taylor expansion of R in phi2 2.844 * [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 2.844 * [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 2.844 * [taylor]: Taking taylor expansion of R in lambda1 2.845 * [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 2.845 * [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 2.845 * [taylor]: Taking taylor expansion of R in lambda2 2.846 * [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 2.846 * [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 2.846 * [taylor]: Taking taylor expansion of R in R 2.848 * [taylor]: Taking taylor expansion of 0 in phi2 2.848 * [taylor]: Taking taylor expansion of 0 in lambda1 2.848 * [taylor]: Taking taylor expansion of 0 in lambda2 2.848 * [taylor]: Taking taylor expansion of 0 in R 2.849 * [taylor]: Taking taylor expansion of 0 in lambda1 2.849 * [taylor]: Taking taylor expansion of 0 in lambda2 2.849 * [taylor]: Taking taylor expansion of 0 in R 2.850 * [taylor]: Taking taylor expansion of 0 in lambda2 2.850 * [taylor]: Taking taylor expansion of 0 in R 2.850 * [taylor]: Taking taylor expansion of 0 in R 2.853 * [taylor]: Taking taylor expansion of 0 in phi2 2.853 * [taylor]: Taking taylor expansion of 0 in lambda1 2.853 * [taylor]: Taking taylor expansion of 0 in lambda2 2.853 * [taylor]: Taking taylor expansion of 0 in R 2.853 * [taylor]: Taking taylor expansion of 0 in lambda1 2.853 * [taylor]: Taking taylor expansion of 0 in lambda2 2.853 * [taylor]: Taking taylor expansion of 0 in R 2.853 * [taylor]: Taking taylor expansion of 0 in lambda1 2.853 * [taylor]: Taking taylor expansion of 0 in lambda2 2.853 * [taylor]: Taking taylor expansion of 0 in R 2.853 * [taylor]: Taking taylor expansion of 0 in lambda2 2.853 * [taylor]: Taking taylor expansion of 0 in R 2.853 * [taylor]: Taking taylor expansion of 0 in lambda2 2.853 * [taylor]: Taking taylor expansion of 0 in R 2.854 * [taylor]: Taking taylor expansion of 0 in lambda2 2.854 * [taylor]: Taking taylor expansion of 0 in R 2.854 * [taylor]: Taking taylor expansion of 0 in R 2.854 * [taylor]: Taking taylor expansion of 0 in R 2.854 * [taylor]: Taking taylor expansion of 0 in R 2.855 * [taylor]: Taking taylor expansion of 0 in R 2.858 * [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 2.859 * [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 2.859 * [taylor]: Taking taylor expansion of -1 in R 2.859 * [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 2.859 * [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 2.859 * [taylor]: Taking taylor expansion of R in R 2.860 * [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 2.860 * [taylor]: Taking taylor expansion of -1 in lambda2 2.860 * [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 2.860 * [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 2.860 * [taylor]: Taking taylor expansion of R in lambda2 2.861 * [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 2.861 * [taylor]: Taking taylor expansion of -1 in lambda1 2.861 * [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 2.861 * [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 2.861 * [taylor]: Taking taylor expansion of R in lambda1 2.862 * [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 2.862 * [taylor]: Taking taylor expansion of -1 in phi2 2.862 * [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 2.862 * [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 2.862 * [taylor]: Taking taylor expansion of R in phi2 2.863 * [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 2.863 * [taylor]: Taking taylor expansion of -1 in phi1 2.863 * [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 2.863 * [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 2.863 * [taylor]: Taking taylor expansion of R in phi1 2.864 * [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 2.864 * [taylor]: Taking taylor expansion of -1 in phi1 2.864 * [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 2.864 * [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 2.865 * [taylor]: Taking taylor expansion of R in phi1 2.866 * [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 2.866 * [taylor]: Taking taylor expansion of -1 in phi2 2.866 * [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 2.866 * [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 2.866 * [taylor]: Taking taylor expansion of R in phi2 2.867 * [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 2.867 * [taylor]: Taking taylor expansion of -1 in lambda1 2.867 * [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 2.867 * [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 2.868 * [taylor]: Taking taylor expansion of R in lambda1 2.869 * [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 2.869 * [taylor]: Taking taylor expansion of -1 in lambda2 2.869 * [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 2.869 * [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 2.870 * [taylor]: Taking taylor expansion of R in lambda2 2.871 * [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 2.871 * [taylor]: Taking taylor expansion of -1 in R 2.871 * [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 2.871 * [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 2.871 * [taylor]: Taking taylor expansion of R in R 2.874 * [taylor]: Taking taylor expansion of 0 in phi2 2.874 * [taylor]: Taking taylor expansion of 0 in lambda1 2.875 * [taylor]: Taking taylor expansion of 0 in lambda2 2.875 * [taylor]: Taking taylor expansion of 0 in R 2.876 * [taylor]: Taking taylor expansion of 0 in lambda1 2.876 * [taylor]: Taking taylor expansion of 0 in lambda2 2.876 * [taylor]: Taking taylor expansion of 0 in R 2.878 * [taylor]: Taking taylor expansion of 0 in lambda2 2.878 * [taylor]: Taking taylor expansion of 0 in R 2.879 * [taylor]: Taking taylor expansion of 0 in R 2.883 * [taylor]: Taking taylor expansion of 0 in phi2 2.883 * [taylor]: Taking taylor expansion of 0 in lambda1 2.883 * [taylor]: Taking taylor expansion of 0 in lambda2 2.883 * [taylor]: Taking taylor expansion of 0 in R 2.883 * [taylor]: Taking taylor expansion of 0 in lambda1 2.883 * [taylor]: Taking taylor expansion of 0 in lambda2 2.883 * [taylor]: Taking taylor expansion of 0 in R 2.885 * [taylor]: Taking taylor expansion of 0 in lambda1 2.885 * [taylor]: Taking taylor expansion of 0 in lambda2 2.885 * [taylor]: Taking taylor expansion of 0 in R 2.885 * [taylor]: Taking taylor expansion of 0 in lambda2 2.885 * [taylor]: Taking taylor expansion of 0 in R 2.885 * [taylor]: Taking taylor expansion of 0 in lambda2 2.885 * [taylor]: Taking taylor expansion of 0 in R 2.887 * [taylor]: Taking taylor expansion of 0 in lambda2 2.887 * [taylor]: Taking taylor expansion of 0 in R 2.887 * [taylor]: Taking taylor expansion of 0 in R 2.887 * [taylor]: Taking taylor expansion of 0 in R 2.887 * [taylor]: Taking taylor expansion of 0 in R 2.891 * [taylor]: Taking taylor expansion of 0 in R 2.895 * * * [progress]: simplifying candidates 2.897 * [simplify]: Simplifying using # : (expm1 (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (log1p (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (expm1 (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (log1p (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (log (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))))) (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (log 1) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (/ PI 2))) (log (exp (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))))) (log (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (log (exp 1)) (log (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (exp (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))))) (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (expm1 (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin 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(cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (exp (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (pow (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) 3) (pow (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) 1/2) (pow (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) 1/2) (expm1 (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R)) (log1p (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R)) (* R (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (+ (log R) (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (+ (log R) (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (pow (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) R) (pow (* R (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) 3) (* (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R)) (pow (* R (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) 3) (sqrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R)) (sqrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (cbrt R)) (cbrt R)) (* (sqrt R) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (* R (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (* R (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) R) (* R (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) 3.023 * * * [progress]: adding candidates to table 3.418 * [progress]: [Phase 3 of 3] Extracting. 3.418 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # # # # #) 3.448 * * * [regime-changes]: Trying 7 branch expressions: ((- lambda1 lambda2) (cos (- lambda1 lambda2)) phi2 phi1 lambda2 lambda1 R) 3.448 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (# # # # # # # # # # # # # # # # # # # #) 3.594 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (# # # # # # # # # # # # # # # # # # # #) 3.743 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # # # # # # # # # # # # #) 3.887 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # # # # # # # # # # # # #) 4.033 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # # # # # # # # # # # # # #) 4.177 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # # # # # # # # # # # # #) 4.321 * * * * [regimes]: Trying to branch on R from (# # # # # # # # # # # # # # # # # # # #) 4.463 * * * [regime]: Found split indices: #