9.804 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.249 * * * [progress]: [2/2] Setting up program. 0.254 * [progress]: [Phase 2 of 3] Improving. 0.254 * [simplify]: Simplifying using # : (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.256 * * [simplify]: iteration 0 : 26 enodes (cost 12 ) 0.257 * * [simplify]: iteration 1 : 34 enodes (cost 12 ) 0.259 * * [simplify]: iteration 2 : 36 enodes (cost 12 ) 0.260 * * [simplify]: iteration 3 : 36 enodes (cost 12 ) 0.260 * [simplify]: Simplified to: (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.260 * * [progress]: iteration 1 / 4 0.260 * * * [progress]: picking best candidate 0.264 * * * * [pick]: Picked # 0.264 * * * [progress]: localizing error 0.289 * * * [progress]: generating rewritten candidates 0.289 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 0.293 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.296 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.299 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.310 * * * [progress]: generating series expansions 0.310 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 0.310 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 0.310 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 0.310 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 0.310 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.310 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.311 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.311 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.311 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.311 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.311 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.311 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.311 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.311 * [taylor]: Taking taylor expansion of lambda2 in lambda1 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 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 0.315 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 0.315 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.315 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.319 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 0.319 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 0.319 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.319 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.319 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.319 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.321 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 0.321 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.321 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 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 (/ 1 lambda2) in lambda2 0.321 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.322 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.322 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.322 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.322 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.322 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.322 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.323 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.323 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.323 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.323 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.323 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.323 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.324 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.324 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.324 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.324 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.324 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.324 * [taylor]: Taking taylor expansion of lambda2 in lambda2 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 lambda2 0.325 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 0.325 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.325 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.325 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.325 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.325 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.325 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.326 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.326 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.326 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.326 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.326 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.326 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.327 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.327 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.327 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.327 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.327 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.327 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.328 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.328 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.328 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.328 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.328 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.328 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.329 * [taylor]: Taking taylor expansion of 0 in lambda2 0.329 * [taylor]: Taking taylor expansion of 0 in lambda2 0.329 * [taylor]: Taking taylor expansion of 0 in lambda2 0.329 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.329 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.329 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.329 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.330 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.330 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.330 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.330 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.330 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.331 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos 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 * [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 0.332 * [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 0.332 * [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 0.332 * [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 0.333 * [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 0.333 * [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 0.333 * [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 0.333 * [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 0.334 * [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 0.334 * [taylor]: Taking taylor expansion of 0 in phi2 0.334 * [taylor]: Taking taylor expansion of 0 in lambda1 0.334 * [taylor]: Taking taylor expansion of 0 in lambda2 0.334 * [taylor]: Taking taylor expansion of 0 in lambda1 0.334 * [taylor]: Taking taylor expansion of 0 in lambda2 0.334 * [taylor]: Taking taylor expansion of 0 in lambda2 0.334 * [taylor]: Taking taylor expansion of 0 in phi2 0.334 * [taylor]: Taking taylor expansion of 0 in lambda1 0.334 * [taylor]: Taking taylor expansion of 0 in lambda2 0.335 * [taylor]: Taking taylor expansion of 0 in lambda1 0.335 * [taylor]: Taking taylor expansion of 0 in lambda2 0.335 * [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 0.335 * [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 0.336 * [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 0.336 * [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 0.336 * [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 0.336 * [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 0.337 * [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 0.337 * [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 0.337 * [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 0.338 * [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 lambda1 0.338 * [taylor]: Taking taylor expansion of 0 in lambda2 0.338 * [taylor]: Taking taylor expansion of 0 in lambda2 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 lambda1 0.338 * [taylor]: Taking taylor expansion of 0 in lambda2 0.338 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.339 * [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 0.339 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.339 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.339 * [taylor]: Taking taylor expansion of R in R 0.339 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.339 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.339 * [taylor]: Taking taylor expansion of R in lambda2 0.339 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.339 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.339 * [taylor]: Taking taylor expansion of R in lambda1 0.339 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.339 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.340 * [taylor]: Taking taylor expansion of R in phi2 0.340 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.340 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.340 * [taylor]: Taking taylor expansion of R in phi1 0.340 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.340 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.340 * [taylor]: Taking taylor expansion of R in phi1 0.340 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.340 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.341 * [taylor]: Taking taylor expansion of R in phi2 0.341 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.341 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.341 * [taylor]: Taking taylor expansion of R in lambda1 0.341 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.341 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.341 * [taylor]: Taking taylor expansion of R in lambda2 0.342 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.342 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.342 * [taylor]: Taking taylor expansion of R in R 0.342 * [taylor]: Taking taylor expansion of 0 in phi2 0.342 * [taylor]: Taking taylor expansion of 0 in lambda1 0.342 * [taylor]: Taking taylor expansion of 0 in lambda2 0.342 * [taylor]: Taking taylor expansion of 0 in R 0.342 * [taylor]: Taking taylor expansion of 0 in lambda1 0.342 * [taylor]: Taking taylor expansion of 0 in lambda2 0.343 * [taylor]: Taking taylor expansion of 0 in R 0.343 * [taylor]: Taking taylor expansion of 0 in lambda2 0.343 * [taylor]: Taking taylor expansion of 0 in R 0.343 * [taylor]: Taking taylor expansion of 0 in R 0.344 * [taylor]: Taking taylor expansion of 0 in phi2 0.344 * [taylor]: Taking taylor expansion of 0 in lambda1 0.345 * [taylor]: Taking taylor expansion of 0 in lambda2 0.345 * [taylor]: Taking taylor expansion of 0 in R 0.345 * [taylor]: Taking taylor expansion of 0 in lambda1 0.345 * [taylor]: Taking taylor expansion of 0 in lambda2 0.345 * [taylor]: Taking taylor expansion of 0 in R 0.345 * [taylor]: Taking taylor expansion of 0 in lambda1 0.345 * [taylor]: Taking taylor expansion of 0 in lambda2 0.345 * [taylor]: Taking taylor expansion of 0 in R 0.345 * [taylor]: Taking taylor expansion of 0 in lambda2 0.345 * [taylor]: Taking taylor expansion of 0 in R 0.345 * [taylor]: Taking taylor expansion of 0 in lambda2 0.345 * [taylor]: Taking taylor expansion of 0 in R 0.346 * [taylor]: Taking taylor expansion of 0 in lambda2 0.346 * [taylor]: Taking taylor expansion of 0 in R 0.347 * [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 0.347 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in R 0.347 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in R 0.347 * [taylor]: Taking taylor expansion of R in R 0.347 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda2 0.347 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2 0.348 * [taylor]: Taking taylor expansion of R in lambda2 0.348 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda1 0.348 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1 0.348 * [taylor]: Taking taylor expansion of R in lambda1 0.349 * [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 0.349 * [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 0.349 * [taylor]: Taking taylor expansion of R in phi2 0.349 * [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 0.349 * [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 0.349 * [taylor]: Taking taylor expansion of R in phi1 0.350 * [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 0.350 * [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 0.350 * [taylor]: Taking taylor expansion of R in phi1 0.350 * [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 0.350 * [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 0.351 * [taylor]: Taking taylor expansion of R in phi2 0.351 * [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 0.351 * [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 0.351 * [taylor]: Taking taylor expansion of R in lambda1 0.352 * [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 0.352 * [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 0.352 * [taylor]: Taking taylor expansion of R in lambda2 0.352 * [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 0.352 * [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 0.352 * [taylor]: Taking taylor expansion of R in R 0.353 * [taylor]: Taking taylor expansion of 0 in phi2 0.353 * [taylor]: Taking taylor expansion of 0 in lambda1 0.353 * [taylor]: Taking taylor expansion of 0 in lambda2 0.353 * [taylor]: Taking taylor expansion of 0 in R 0.354 * [taylor]: Taking taylor expansion of 0 in lambda1 0.354 * [taylor]: Taking taylor expansion of 0 in lambda2 0.354 * [taylor]: Taking taylor expansion of 0 in R 0.354 * [taylor]: Taking taylor expansion of 0 in lambda2 0.354 * [taylor]: Taking taylor expansion of 0 in R 0.355 * [taylor]: Taking taylor expansion of 0 in R 0.356 * [taylor]: Taking taylor expansion of 0 in phi2 0.356 * [taylor]: Taking taylor expansion of 0 in lambda1 0.356 * [taylor]: Taking taylor expansion of 0 in lambda2 0.356 * [taylor]: Taking taylor expansion of 0 in R 0.356 * [taylor]: Taking taylor expansion of 0 in lambda1 0.356 * [taylor]: Taking taylor expansion of 0 in lambda2 0.356 * [taylor]: Taking taylor expansion of 0 in R 0.357 * [taylor]: Taking taylor expansion of 0 in lambda1 0.357 * [taylor]: Taking taylor expansion of 0 in lambda2 0.357 * [taylor]: Taking taylor expansion of 0 in R 0.357 * [taylor]: Taking taylor expansion of 0 in lambda2 0.357 * [taylor]: Taking taylor expansion of 0 in R 0.357 * [taylor]: Taking taylor expansion of 0 in lambda2 0.357 * [taylor]: Taking taylor expansion of 0 in R 0.357 * [taylor]: Taking taylor expansion of 0 in lambda2 0.357 * [taylor]: Taking taylor expansion of 0 in R 0.357 * [taylor]: Taking taylor expansion of 0 in R 0.357 * [taylor]: Taking taylor expansion of 0 in R 0.357 * [taylor]: Taking taylor expansion of 0 in R 0.358 * [taylor]: Taking taylor expansion of 0 in R 0.360 * [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 0.360 * [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 0.361 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda2 0.361 * [taylor]: Taking taylor expansion of -1 in lambda2 0.361 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda2 0.361 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 0.361 * [taylor]: Taking taylor expansion of R in lambda2 0.361 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda1 0.361 * [taylor]: Taking taylor expansion of -1 in lambda1 0.361 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda1 0.361 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 0.362 * [taylor]: Taking taylor expansion of R in lambda1 0.362 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi2 0.362 * [taylor]: Taking taylor expansion of -1 in phi2 0.362 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi2 0.362 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 0.362 * [taylor]: Taking taylor expansion of R in phi2 0.363 * [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 0.363 * [taylor]: Taking taylor expansion of -1 in phi1 0.363 * [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 0.363 * [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 0.363 * [taylor]: Taking taylor expansion of R in phi1 0.363 * [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 0.363 * [taylor]: Taking taylor expansion of -1 in phi1 0.363 * [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 0.363 * [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 0.364 * [taylor]: Taking taylor expansion of R in phi1 0.364 * [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 0.364 * [taylor]: Taking taylor expansion of -1 in phi2 0.364 * [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 0.364 * [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 0.364 * [taylor]: Taking taylor expansion of R in phi2 0.365 * [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 0.365 * [taylor]: Taking taylor expansion of -1 in lambda1 0.365 * [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 0.365 * [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 0.365 * [taylor]: Taking taylor expansion of R in lambda1 0.366 * [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 0.366 * [taylor]: Taking taylor expansion of -1 in lambda2 0.366 * [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 0.366 * [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 0.366 * [taylor]: Taking taylor expansion of R in lambda2 0.367 * [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 0.367 * [taylor]: Taking taylor expansion of -1 in R 0.367 * [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 0.367 * [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 0.367 * [taylor]: Taking taylor expansion of R in R 0.369 * [taylor]: Taking taylor expansion of 0 in phi2 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 0.370 * [taylor]: Taking taylor expansion of 0 in lambda1 0.370 * [taylor]: Taking taylor expansion of 0 in lambda2 0.370 * [taylor]: Taking taylor expansion of 0 in R 0.371 * [taylor]: Taking taylor expansion of 0 in lambda2 0.371 * [taylor]: Taking taylor expansion of 0 in R 0.372 * [taylor]: Taking taylor expansion of 0 in R 0.375 * [taylor]: Taking taylor expansion of 0 in phi2 0.375 * [taylor]: Taking taylor expansion of 0 in lambda1 0.375 * [taylor]: Taking taylor expansion of 0 in lambda2 0.375 * [taylor]: Taking taylor expansion of 0 in R 0.375 * [taylor]: Taking taylor expansion of 0 in lambda1 0.375 * [taylor]: Taking taylor expansion of 0 in lambda2 0.375 * [taylor]: Taking taylor expansion of 0 in R 0.377 * [taylor]: Taking taylor expansion of 0 in lambda1 0.377 * [taylor]: Taking taylor expansion of 0 in lambda2 0.377 * [taylor]: Taking taylor expansion of 0 in R 0.377 * [taylor]: Taking taylor expansion of 0 in lambda2 0.377 * [taylor]: Taking taylor expansion of 0 in R 0.377 * [taylor]: Taking taylor expansion of 0 in lambda2 0.377 * [taylor]: Taking taylor expansion of 0 in R 0.378 * [taylor]: Taking taylor expansion of 0 in lambda2 0.378 * [taylor]: Taking taylor expansion of 0 in R 0.378 * [taylor]: Taking taylor expansion of 0 in R 0.378 * [taylor]: Taking taylor expansion of 0 in R 0.378 * [taylor]: Taking taylor expansion of 0 in R 0.379 * [taylor]: Taking taylor expansion of 0 in R 0.382 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.382 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 0.382 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 0.382 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 0.382 * [taylor]: Taking taylor expansion of phi1 in phi2 0.382 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.382 * [taylor]: Taking taylor expansion of phi2 in phi2 0.382 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.382 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.383 * [taylor]: Taking taylor expansion of phi1 in phi1 0.383 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.383 * [taylor]: Taking taylor expansion of phi2 in phi1 0.383 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.383 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.383 * [taylor]: Taking taylor expansion of phi1 in phi1 0.383 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.383 * [taylor]: Taking taylor expansion of phi2 in phi1 0.383 * [taylor]: Taking taylor expansion of 0 in phi2 0.385 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.385 * [taylor]: Taking taylor expansion of phi2 in phi2 0.388 * [taylor]: Taking taylor expansion of 0 in phi2 0.397 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 0.397 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 0.397 * [taylor]: Taking taylor expansion of 1/6 in phi2 0.397 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.397 * [taylor]: Taking taylor expansion of phi2 in phi2 0.403 * [taylor]: Taking taylor expansion of 0 in phi2 0.403 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 0.403 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.403 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.403 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.403 * [taylor]: Taking taylor expansion of phi1 in phi2 0.403 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.403 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.403 * [taylor]: Taking taylor expansion of phi2 in phi2 0.404 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.404 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.404 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.404 * [taylor]: Taking taylor expansion of phi1 in phi1 0.404 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.404 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.404 * [taylor]: Taking taylor expansion of phi2 in phi1 0.404 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.404 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.404 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.404 * [taylor]: Taking taylor expansion of phi1 in phi1 0.405 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.405 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.405 * [taylor]: Taking taylor expansion of phi2 in phi1 0.405 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.405 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.405 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.405 * [taylor]: Taking taylor expansion of phi1 in phi2 0.405 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.405 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.405 * [taylor]: Taking taylor expansion of phi2 in phi2 0.408 * [taylor]: Taking taylor expansion of 0 in phi2 0.412 * [taylor]: Taking taylor expansion of 0 in phi2 0.417 * [taylor]: Taking taylor expansion of 0 in phi2 0.417 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 0.418 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.418 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.418 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.418 * [taylor]: Taking taylor expansion of -1 in phi2 0.418 * [taylor]: Taking taylor expansion of phi1 in phi2 0.418 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.418 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.418 * [taylor]: Taking taylor expansion of -1 in phi2 0.418 * [taylor]: Taking taylor expansion of phi2 in phi2 0.418 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.418 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.418 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.418 * [taylor]: Taking taylor expansion of -1 in phi1 0.418 * [taylor]: Taking taylor expansion of phi1 in phi1 0.418 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.419 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.419 * [taylor]: Taking taylor expansion of -1 in phi1 0.419 * [taylor]: Taking taylor expansion of phi2 in phi1 0.419 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.419 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.419 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.419 * [taylor]: Taking taylor expansion of -1 in phi1 0.419 * [taylor]: Taking taylor expansion of phi1 in phi1 0.419 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.419 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.419 * [taylor]: Taking taylor expansion of -1 in phi1 0.419 * [taylor]: Taking taylor expansion of phi2 in phi1 0.420 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.420 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.420 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.420 * [taylor]: Taking taylor expansion of -1 in phi2 0.420 * [taylor]: Taking taylor expansion of phi1 in phi2 0.420 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.420 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.420 * [taylor]: Taking taylor expansion of -1 in phi2 0.420 * [taylor]: Taking taylor expansion of phi2 in phi2 0.422 * [taylor]: Taking taylor expansion of 0 in phi2 0.426 * [taylor]: Taking taylor expansion of 0 in phi2 0.432 * [taylor]: Taking taylor expansion of 0 in phi2 0.432 * * * [progress]: simplifying candidates 0.433 * [simplify]: Simplifying using # : (* (cos lambda1) (cos (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)) (log (cos (- lambda1 lambda2))) (exp (cos (- lambda1 lambda2))) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 0.437 * * [simplify]: iteration 0 : 200 enodes (cost 661 ) 0.441 * * [simplify]: iteration 1 : 565 enodes (cost 569 ) 0.449 * * [simplify]: iteration 2 : 1775 enodes (cost 569 ) 0.473 * * [simplify]: iteration 3 : 5001 enodes (cost 569 ) 0.475 * [simplify]: Simplified to: (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)) (log (cos (- lambda1 lambda2))) (exp (cos (- lambda1 lambda2))) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))) (pow (cos (- lambda1 lambda2)) 3) (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 0.476 * * * [progress]: adding candidates to table 0.664 * * [progress]: iteration 2 / 4 0.664 * * * [progress]: picking best candidate 0.737 * * * * [pick]: Picked # 0.737 * * * [progress]: localizing error 0.768 * * * [progress]: generating rewritten candidates 0.768 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.772 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 0.777 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.780 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 0.806 * * * [progress]: generating series expansions 0.806 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.807 * [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 0.807 * [taylor]: Taking taylor 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 0.807 * [taylor]: Taking taylor 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 0.808 * [taylor]: Taking taylor 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 0.808 * [taylor]: Taking taylor 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 0.808 * [taylor]: Taking taylor 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 0.809 * [taylor]: Taking taylor 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 0.809 * [taylor]: Taking taylor 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 0.810 * [taylor]: Taking taylor 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 0.810 * [taylor]: Taking taylor expansion of 0 in phi2 0.810 * [taylor]: Taking taylor expansion of 0 in lambda1 0.810 * [taylor]: Taking taylor expansion of 0 in lambda2 0.810 * [taylor]: Taking taylor expansion of 0 in lambda1 0.810 * [taylor]: Taking taylor expansion of 0 in lambda2 0.810 * [taylor]: Taking taylor expansion of 0 in lambda2 0.811 * [taylor]: Taking taylor expansion of 0 in phi2 0.811 * [taylor]: Taking taylor expansion of 0 in lambda1 0.811 * [taylor]: Taking taylor expansion of 0 in lambda2 0.811 * [taylor]: Taking taylor expansion of 0 in lambda1 0.811 * [taylor]: Taking taylor expansion of 0 in lambda2 0.811 * [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 0.811 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.812 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.812 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.813 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.813 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.814 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.814 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.815 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.816 * [taylor]: Taking taylor expansion of 0 in phi2 0.816 * [taylor]: Taking taylor expansion of 0 in lambda1 0.816 * [taylor]: Taking taylor expansion of 0 in lambda2 0.816 * [taylor]: Taking taylor expansion of 0 in lambda1 0.816 * [taylor]: Taking taylor expansion of 0 in lambda2 0.816 * [taylor]: Taking taylor expansion of 0 in lambda2 0.816 * [taylor]: Taking taylor expansion of 0 in phi2 0.816 * [taylor]: Taking taylor expansion of 0 in lambda1 0.816 * [taylor]: Taking taylor expansion of 0 in lambda2 0.816 * [taylor]: Taking taylor expansion of 0 in lambda1 0.816 * [taylor]: Taking taylor expansion of 0 in lambda2 0.817 * [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 0.817 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.818 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.818 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.819 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.819 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.820 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.822 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.823 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.824 * [taylor]: Taking taylor expansion of 0 in phi2 0.824 * [taylor]: Taking taylor expansion of 0 in lambda1 0.824 * [taylor]: Taking taylor expansion of 0 in lambda2 0.824 * [taylor]: Taking taylor expansion of 0 in lambda1 0.824 * [taylor]: Taking taylor expansion of 0 in lambda2 0.824 * [taylor]: Taking taylor expansion of 0 in lambda2 0.824 * [taylor]: Taking taylor expansion of 0 in phi2 0.824 * [taylor]: Taking taylor expansion of 0 in lambda1 0.824 * [taylor]: Taking taylor expansion of 0 in lambda2 0.824 * [taylor]: Taking taylor expansion of 0 in lambda1 0.824 * [taylor]: Taking taylor expansion of 0 in lambda2 0.825 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 0.825 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 0.825 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 0.825 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 0.825 * [taylor]: Taking taylor expansion of phi1 in phi2 0.825 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.825 * [taylor]: Taking taylor expansion of phi2 in phi2 0.825 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.825 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.825 * [taylor]: Taking taylor expansion of phi1 in phi1 0.826 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.826 * [taylor]: Taking taylor expansion of phi2 in phi1 0.826 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.826 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.826 * [taylor]: Taking taylor expansion of phi1 in phi1 0.826 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.826 * [taylor]: Taking taylor expansion of phi2 in phi1 0.826 * [taylor]: Taking taylor expansion of 0 in phi2 0.828 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.828 * [taylor]: Taking taylor expansion of phi2 in phi2 0.831 * [taylor]: Taking taylor expansion of 0 in phi2 0.836 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 0.836 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 0.836 * [taylor]: Taking taylor expansion of 1/6 in phi2 0.836 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.836 * [taylor]: Taking taylor expansion of phi2 in phi2 0.842 * [taylor]: Taking taylor expansion of 0 in phi2 0.842 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 0.842 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.842 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.842 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.842 * [taylor]: Taking taylor expansion of phi1 in phi2 0.842 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.842 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.842 * [taylor]: Taking taylor expansion of phi2 in phi2 0.843 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.843 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.843 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.843 * [taylor]: Taking taylor expansion of phi1 in phi1 0.843 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.843 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.843 * [taylor]: Taking taylor expansion of phi2 in phi1 0.843 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.843 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.843 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.843 * [taylor]: Taking taylor expansion of phi1 in phi1 0.844 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.844 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.844 * [taylor]: Taking taylor expansion of phi2 in phi1 0.844 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.844 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.844 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.844 * [taylor]: Taking taylor expansion of phi1 in phi2 0.844 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.844 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.844 * [taylor]: Taking taylor expansion of phi2 in phi2 0.846 * [taylor]: Taking taylor expansion of 0 in phi2 0.851 * [taylor]: Taking taylor expansion of 0 in phi2 0.856 * [taylor]: Taking taylor expansion of 0 in phi2 0.856 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 0.856 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.856 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.856 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.856 * [taylor]: Taking taylor expansion of -1 in phi2 0.857 * [taylor]: Taking taylor expansion of phi1 in phi2 0.857 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.857 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.857 * [taylor]: Taking taylor expansion of -1 in phi2 0.857 * [taylor]: Taking taylor expansion of phi2 in phi2 0.857 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.857 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.857 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.857 * [taylor]: Taking taylor expansion of -1 in phi1 0.857 * [taylor]: Taking taylor expansion of phi1 in phi1 0.857 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.857 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.857 * [taylor]: Taking taylor expansion of -1 in phi1 0.857 * [taylor]: Taking taylor expansion of phi2 in phi1 0.858 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.858 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.858 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.858 * [taylor]: Taking taylor expansion of -1 in phi1 0.858 * [taylor]: Taking taylor expansion of phi1 in phi1 0.858 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.858 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.858 * [taylor]: Taking taylor expansion of -1 in phi1 0.858 * [taylor]: Taking taylor expansion of phi2 in phi1 0.858 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.858 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.858 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.858 * [taylor]: Taking taylor expansion of -1 in phi2 0.858 * [taylor]: Taking taylor expansion of phi1 in phi2 0.859 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.859 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.859 * [taylor]: Taking taylor expansion of -1 in phi2 0.859 * [taylor]: Taking taylor expansion of phi2 in phi2 0.861 * [taylor]: Taking taylor expansion of 0 in phi2 0.865 * [taylor]: Taking taylor expansion of 0 in phi2 0.871 * [taylor]: Taking taylor expansion of 0 in phi2 0.871 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.871 * [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 0.871 * [taylor]: Taking 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 0.871 * [taylor]: Taking taylor 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 0.872 * [taylor]: Taking taylor expansion of R in R 0.872 * [taylor]: Taking 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 0.872 * [taylor]: Taking taylor 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 0.872 * [taylor]: Taking taylor expansion of R in lambda2 0.872 * [taylor]: Taking 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 0.872 * [taylor]: Taking taylor 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 0.872 * [taylor]: Taking taylor expansion of R in lambda1 0.872 * [taylor]: Taking 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 0.873 * [taylor]: Taking taylor 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 0.873 * [taylor]: Taking taylor expansion of R in phi2 0.873 * [taylor]: Taking 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 0.873 * [taylor]: Taking taylor 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 0.873 * [taylor]: Taking taylor expansion of R in phi1 0.873 * [taylor]: Taking 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 0.873 * [taylor]: Taking taylor 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 0.874 * [taylor]: Taking taylor expansion of R in phi1 0.874 * [taylor]: Taking 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 0.874 * [taylor]: Taking taylor 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 0.874 * [taylor]: Taking taylor expansion of R in phi2 0.875 * [taylor]: Taking 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 0.875 * [taylor]: Taking taylor 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 0.875 * [taylor]: Taking taylor expansion of R in lambda1 0.876 * [taylor]: Taking 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 0.876 * [taylor]: Taking taylor 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 0.876 * [taylor]: Taking taylor expansion of R in lambda2 0.877 * [taylor]: Taking 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 0.877 * [taylor]: Taking taylor 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 0.877 * [taylor]: Taking taylor expansion of R in R 0.878 * [taylor]: Taking taylor expansion of 0 in phi2 0.878 * [taylor]: Taking taylor expansion of 0 in lambda1 0.878 * [taylor]: Taking taylor expansion of 0 in lambda2 0.878 * [taylor]: Taking taylor expansion of 0 in R 0.878 * [taylor]: Taking taylor expansion of 0 in lambda1 0.878 * [taylor]: Taking taylor expansion of 0 in lambda2 0.878 * [taylor]: Taking taylor expansion of 0 in R 0.879 * [taylor]: Taking taylor expansion of 0 in lambda2 0.879 * [taylor]: Taking taylor expansion of 0 in R 0.879 * [taylor]: Taking taylor expansion of 0 in R 0.881 * [taylor]: Taking taylor expansion of 0 in phi2 0.881 * [taylor]: Taking taylor expansion of 0 in lambda1 0.881 * [taylor]: Taking taylor expansion of 0 in lambda2 0.881 * [taylor]: Taking taylor expansion of 0 in R 0.881 * [taylor]: Taking taylor expansion of 0 in lambda1 0.881 * [taylor]: Taking taylor expansion of 0 in lambda2 0.881 * [taylor]: Taking taylor expansion of 0 in R 0.882 * [taylor]: Taking taylor expansion of 0 in lambda1 0.882 * [taylor]: Taking taylor expansion of 0 in lambda2 0.882 * [taylor]: Taking taylor expansion of 0 in R 0.882 * [taylor]: Taking taylor expansion of 0 in lambda2 0.882 * [taylor]: Taking taylor expansion of 0 in R 0.882 * [taylor]: Taking taylor expansion of 0 in lambda2 0.882 * [taylor]: Taking taylor expansion of 0 in R 0.883 * [taylor]: Taking taylor expansion of 0 in lambda2 0.883 * [taylor]: Taking taylor expansion of 0 in R 0.884 * [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 0.884 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 0.884 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.884 * [taylor]: Taking taylor expansion of R in R 0.885 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 0.885 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.885 * [taylor]: Taking taylor expansion of R in lambda2 0.886 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 0.886 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.886 * [taylor]: Taking taylor expansion of R in lambda1 0.887 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 0.887 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.887 * [taylor]: Taking taylor expansion of R in phi2 0.888 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 0.888 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.888 * [taylor]: Taking taylor expansion of R in phi1 0.889 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 0.889 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.889 * [taylor]: Taking taylor expansion of R in phi1 0.890 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 0.890 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.890 * [taylor]: Taking taylor expansion of R in phi2 0.891 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 0.891 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.891 * [taylor]: Taking taylor expansion of R in lambda1 0.892 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 0.892 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.892 * [taylor]: Taking taylor expansion of R in lambda2 0.893 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 0.893 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.893 * [taylor]: Taking taylor expansion of R in R 0.895 * [taylor]: Taking taylor expansion of 0 in phi2 0.895 * [taylor]: Taking taylor expansion of 0 in lambda1 0.895 * [taylor]: Taking taylor expansion of 0 in lambda2 0.895 * [taylor]: Taking taylor expansion of 0 in R 0.896 * [taylor]: Taking taylor expansion of 0 in lambda1 0.896 * [taylor]: Taking taylor expansion of 0 in lambda2 0.896 * [taylor]: Taking taylor expansion of 0 in R 0.896 * [taylor]: Taking taylor expansion of 0 in lambda2 0.897 * [taylor]: Taking taylor expansion of 0 in R 0.897 * [taylor]: Taking taylor expansion of 0 in R 0.899 * [taylor]: Taking taylor expansion of 0 in phi2 0.899 * [taylor]: Taking taylor expansion of 0 in lambda1 0.899 * [taylor]: Taking taylor expansion of 0 in lambda2 0.899 * [taylor]: Taking taylor expansion of 0 in R 0.899 * [taylor]: Taking taylor expansion of 0 in lambda1 0.899 * [taylor]: Taking taylor expansion of 0 in lambda2 0.899 * [taylor]: Taking taylor expansion of 0 in R 0.900 * [taylor]: Taking taylor expansion of 0 in lambda1 0.900 * [taylor]: Taking taylor expansion of 0 in lambda2 0.900 * [taylor]: Taking taylor expansion of 0 in R 0.900 * [taylor]: Taking taylor expansion of 0 in lambda2 0.900 * [taylor]: Taking taylor expansion of 0 in R 0.900 * [taylor]: Taking taylor expansion of 0 in lambda2 0.900 * [taylor]: Taking taylor expansion of 0 in R 0.900 * [taylor]: Taking taylor expansion of 0 in lambda2 0.901 * [taylor]: Taking taylor expansion of 0 in R 0.901 * [taylor]: Taking taylor expansion of 0 in R 0.901 * [taylor]: Taking taylor expansion of 0 in R 0.901 * [taylor]: Taking taylor expansion of 0 in R 0.901 * [taylor]: Taking taylor expansion of 0 in R 0.907 * [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 0.907 * [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 0.908 * [taylor]: Taking taylor expansion of -1 in R 0.908 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 0.908 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.908 * [taylor]: Taking taylor expansion of R in R 0.909 * [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 0.909 * [taylor]: Taking taylor expansion of -1 in lambda2 0.909 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 0.909 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.909 * [taylor]: Taking taylor expansion of R in lambda2 0.910 * [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 0.910 * [taylor]: Taking taylor expansion of -1 in lambda1 0.910 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 0.910 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.910 * [taylor]: Taking taylor expansion of R in lambda1 0.911 * [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 0.911 * [taylor]: Taking taylor expansion of -1 in phi2 0.911 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 0.911 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.911 * [taylor]: Taking taylor expansion of R in phi2 0.912 * [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 0.912 * [taylor]: Taking taylor expansion of -1 in phi1 0.912 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 0.912 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.912 * [taylor]: Taking taylor expansion of R in phi1 0.913 * [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 0.913 * [taylor]: Taking taylor expansion of -1 in phi1 0.913 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 0.913 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.913 * [taylor]: Taking taylor expansion of R in phi1 0.914 * [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 0.914 * [taylor]: Taking taylor expansion of -1 in phi2 0.914 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 0.914 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.915 * [taylor]: Taking taylor expansion of R in phi2 0.916 * [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 0.916 * [taylor]: Taking taylor expansion of -1 in lambda1 0.916 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 0.916 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.917 * [taylor]: Taking taylor expansion of R in lambda1 0.918 * [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 0.918 * [taylor]: Taking taylor expansion of -1 in lambda2 0.918 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 0.918 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.918 * [taylor]: Taking taylor expansion of R in lambda2 0.919 * [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 0.919 * [taylor]: Taking taylor expansion of -1 in R 0.919 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 0.919 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.920 * [taylor]: Taking taylor expansion of R in R 0.923 * [taylor]: Taking taylor expansion of 0 in phi2 0.923 * [taylor]: Taking taylor expansion of 0 in lambda1 0.923 * [taylor]: Taking taylor expansion of 0 in lambda2 0.923 * [taylor]: Taking taylor expansion of 0 in R 0.924 * [taylor]: Taking taylor expansion of 0 in lambda1 0.924 * [taylor]: Taking taylor expansion of 0 in lambda2 0.924 * [taylor]: Taking taylor expansion of 0 in R 0.926 * [taylor]: Taking taylor expansion of 0 in lambda2 0.926 * [taylor]: Taking taylor expansion of 0 in R 0.928 * [taylor]: Taking taylor expansion of 0 in R 0.931 * [taylor]: Taking taylor expansion of 0 in phi2 0.931 * [taylor]: Taking taylor expansion of 0 in lambda1 0.931 * [taylor]: Taking taylor expansion of 0 in lambda2 0.931 * [taylor]: Taking taylor expansion of 0 in R 0.931 * [taylor]: Taking taylor expansion of 0 in lambda1 0.931 * [taylor]: Taking taylor expansion of 0 in lambda2 0.931 * [taylor]: Taking taylor expansion of 0 in R 0.933 * [taylor]: Taking taylor expansion of 0 in lambda1 0.933 * [taylor]: Taking taylor expansion of 0 in lambda2 0.933 * [taylor]: Taking taylor expansion of 0 in R 0.933 * [taylor]: Taking taylor expansion of 0 in lambda2 0.933 * [taylor]: Taking taylor expansion of 0 in R 0.933 * [taylor]: Taking taylor expansion of 0 in lambda2 0.933 * [taylor]: Taking taylor expansion of 0 in R 0.935 * [taylor]: Taking taylor expansion of 0 in lambda2 0.935 * [taylor]: Taking taylor expansion of 0 in R 0.935 * [taylor]: Taking taylor expansion of 0 in R 0.935 * [taylor]: Taking taylor expansion of 0 in R 0.935 * [taylor]: Taking taylor expansion of 0 in R 0.937 * [taylor]: Taking taylor expansion of 0 in R 0.940 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 0.941 * [approximate]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.941 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in lambda2 0.941 * [taylor]: Taking taylor expansion of (cos phi1) in lambda2 0.941 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.941 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in lambda2 0.941 * [taylor]: Taking taylor expansion of (cos phi2) in lambda2 0.941 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.941 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in lambda2 0.941 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda2 0.941 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda2 0.941 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.941 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 0.941 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.941 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 0.941 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 0.941 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.941 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 0.941 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.941 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in lambda1 0.941 * [taylor]: Taking taylor expansion of (cos phi1) in lambda1 0.941 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.941 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in lambda1 0.941 * [taylor]: Taking taylor expansion of (cos phi2) in lambda1 0.941 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.941 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in lambda1 0.941 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 0.941 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 0.941 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.941 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 0.941 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.942 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 0.942 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 0.942 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.942 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 0.942 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.942 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in phi2 0.942 * [taylor]: Taking taylor expansion of (cos phi1) in phi2 0.942 * [taylor]: Taking taylor expansion of phi1 in phi2 0.942 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in phi2 0.942 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 0.942 * [taylor]: Taking taylor expansion of phi2 in phi2 0.942 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in phi2 0.942 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi2 0.942 * [taylor]: Taking taylor expansion of (cos lambda1) in phi2 0.942 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.942 * [taylor]: Taking taylor expansion of (cos lambda2) in phi2 0.942 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.942 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi2 0.942 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 0.942 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.942 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 0.942 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.942 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in phi1 0.942 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 0.942 * [taylor]: Taking taylor expansion of phi1 in phi1 0.942 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in phi1 0.942 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 0.942 * [taylor]: Taking taylor expansion of phi2 in phi1 0.942 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in phi1 0.942 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi1 0.942 * [taylor]: Taking taylor expansion of (cos lambda1) in phi1 0.942 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.942 * [taylor]: Taking taylor expansion of (cos lambda2) in phi1 0.942 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.942 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi1 0.942 * [taylor]: Taking taylor expansion of (sin lambda1) in phi1 0.942 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.942 * [taylor]: Taking taylor expansion of (sin lambda2) in phi1 0.942 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.943 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in phi1 0.943 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 0.943 * [taylor]: Taking taylor expansion of phi1 in phi1 0.943 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in phi1 0.943 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 0.943 * [taylor]: Taking taylor expansion of phi2 in phi1 0.943 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in phi1 0.943 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi1 0.943 * [taylor]: Taking taylor expansion of (cos lambda1) in phi1 0.943 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.943 * [taylor]: Taking taylor expansion of (cos lambda2) in phi1 0.943 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.943 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi1 0.943 * [taylor]: Taking taylor expansion of (sin lambda1) in phi1 0.943 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.943 * [taylor]: Taking taylor expansion of (sin lambda2) in phi1 0.943 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.945 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in phi2 0.945 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 0.945 * [taylor]: Taking taylor expansion of phi2 in phi2 0.945 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in phi2 0.945 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi2 0.945 * [taylor]: Taking taylor expansion of (cos lambda1) in phi2 0.945 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.945 * [taylor]: Taking taylor expansion of (cos lambda2) in phi2 0.945 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.945 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi2 0.945 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 0.945 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.945 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 0.945 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.946 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in lambda1 0.946 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 0.946 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 0.946 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.946 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 0.946 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.946 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 0.946 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 0.946 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.946 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 0.946 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.947 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 0.947 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.956 * [taylor]: Taking taylor expansion of 0 in phi2 0.956 * [taylor]: Taking taylor expansion of 0 in lambda1 0.956 * [taylor]: Taking taylor expansion of 0 in lambda2 0.964 * [taylor]: Taking taylor expansion of 0 in lambda1 0.964 * [taylor]: Taking taylor expansion of 0 in lambda2 0.968 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 0.969 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.992 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* (cos lambda1) (* (cos phi2) (cos lambda2)))) (* 1/2 (* (sin lambda1) (* (cos phi2) (sin lambda2)))))) in phi2 0.992 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (cos lambda1) (* (cos phi2) (cos lambda2)))) (* 1/2 (* (sin lambda1) (* (cos phi2) (sin lambda2))))) in phi2 0.992 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos lambda1) (* (cos phi2) (cos lambda2)))) in phi2 0.992 * [taylor]: Taking taylor expansion of 1/2 in phi2 0.992 * [taylor]: Taking taylor expansion of (* (cos lambda1) (* (cos phi2) (cos lambda2))) in phi2 0.992 * [taylor]: Taking taylor expansion of (cos lambda1) in phi2 0.992 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.992 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos lambda2)) in phi2 0.992 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 0.992 * [taylor]: Taking taylor expansion of phi2 in phi2 0.992 * [taylor]: Taking taylor expansion of (cos lambda2) in phi2 0.992 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.992 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (* (cos phi2) (sin lambda2)))) in phi2 0.993 * [taylor]: Taking taylor expansion of 1/2 in phi2 0.993 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi2) (sin lambda2))) in phi2 0.993 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 0.993 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.993 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in phi2 0.993 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 0.993 * [taylor]: Taking taylor expansion of phi2 in phi2 0.993 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 0.993 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.995 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* (cos lambda1) (cos lambda2))) (* 1/2 (* (sin lambda1) (sin lambda2))))) in lambda1 0.995 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (cos lambda1) (cos lambda2))) (* 1/2 (* (sin lambda1) (sin lambda2)))) in lambda1 0.995 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos lambda1) (cos lambda2))) in lambda1 0.995 * [taylor]: Taking taylor expansion of 1/2 in lambda1 0.995 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 0.995 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 0.995 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.995 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 0.995 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.995 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (sin lambda2))) in lambda1 0.995 * [taylor]: Taking taylor expansion of 1/2 in lambda1 0.995 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 0.995 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 0.995 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.995 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 0.996 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.997 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos lambda2))) in lambda2 0.997 * [taylor]: Taking taylor expansion of (* 1/2 (cos lambda2)) in lambda2 0.997 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.997 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 0.997 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.998 * [taylor]: Taking taylor expansion of 0 in lambda1 0.998 * [taylor]: Taking taylor expansion of 0 in lambda2 1.014 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* (cos lambda1) (cos lambda2))) (* 1/2 (* (sin lambda1) (sin lambda2))))) in lambda1 1.015 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (cos lambda1) (cos lambda2))) (* 1/2 (* (sin lambda1) (sin lambda2)))) in lambda1 1.015 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos lambda1) (cos lambda2))) in lambda1 1.015 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.015 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 1.015 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 1.015 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.015 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 1.015 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.015 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (sin lambda2))) in lambda1 1.015 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.015 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.015 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.015 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.015 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.015 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.016 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos lambda2))) in lambda2 1.016 * [taylor]: Taking taylor expansion of (* 1/2 (cos lambda2)) in lambda2 1.016 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.016 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 1.016 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.018 * [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 1.018 * [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 1.018 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 1.018 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.018 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.019 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in lambda2 1.019 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 1.019 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.019 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.019 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda2 1.019 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.019 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.019 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.019 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.019 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.019 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.019 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.020 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda2 1.020 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda2 1.020 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.020 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.020 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda2 1.020 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.020 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.020 * [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 1.020 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 1.020 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.021 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.021 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in lambda1 1.021 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 1.021 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.021 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.021 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda1 1.021 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.021 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.021 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.021 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.022 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.022 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.022 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.022 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda1 1.022 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda1 1.022 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.022 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.022 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda1 1.022 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.022 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.022 * [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 1.023 * [taylor]: Taking taylor expansion of (cos (/ 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 (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in phi2 1.023 * [taylor]: Taking taylor expansion of (cos (/ 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 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi2 1.023 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in phi2 1.023 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi2 1.023 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.023 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.024 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi2 1.024 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.024 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.024 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi2 1.024 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi2 1.024 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.024 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.024 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi2 1.024 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.024 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.024 * [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 1.024 * [taylor]: Taking taylor expansion of (cos (/ 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 (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in phi1 1.025 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 1.025 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.025 * [taylor]: Taking taylor expansion of phi1 in phi1 1.025 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi1 1.025 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in phi1 1.025 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi1 1.025 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.025 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.025 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi1 1.025 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.025 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.026 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi1 1.026 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi1 1.026 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.026 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.026 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi1 1.026 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.026 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.026 * [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 1.026 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 1.026 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.026 * [taylor]: Taking taylor expansion of phi2 in phi1 1.027 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in phi1 1.027 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 1.027 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.027 * [taylor]: Taking taylor expansion of phi1 in phi1 1.027 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi1 1.027 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in phi1 1.027 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi1 1.027 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.027 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.027 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi1 1.027 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.027 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.028 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi1 1.028 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi1 1.028 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.028 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.028 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi1 1.028 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.028 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.031 * [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 1.031 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 1.031 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.031 * [taylor]: Taking taylor expansion of phi2 in phi2 1.032 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in phi2 1.032 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 1.032 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.032 * [taylor]: Taking taylor expansion of phi1 in phi2 1.032 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi2 1.032 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in phi2 1.032 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi2 1.032 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.032 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.032 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi2 1.032 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.032 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.033 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi2 1.033 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi2 1.033 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.033 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.033 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi2 1.033 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.033 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.036 * [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 1.036 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 1.036 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.036 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.036 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in lambda1 1.036 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 1.036 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.036 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.037 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda1 1.037 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.037 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.037 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.037 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.037 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.037 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.037 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.037 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda1 1.037 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda1 1.038 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.038 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.038 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda1 1.038 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.038 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.041 * [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 1.041 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 1.041 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.041 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.041 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in lambda2 1.042 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 1.042 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.042 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.042 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda2 1.042 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.042 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.042 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.042 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.042 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.042 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.042 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.043 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda2 1.043 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda2 1.043 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.043 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.043 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda2 1.043 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.043 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.062 * [taylor]: Taking taylor expansion of 0 in phi2 1.062 * [taylor]: Taking taylor expansion of 0 in lambda1 1.062 * [taylor]: Taking taylor expansion of 0 in lambda2 1.077 * [taylor]: Taking taylor expansion of 0 in lambda1 1.077 * [taylor]: Taking taylor expansion of 0 in lambda2 1.085 * [taylor]: Taking taylor expansion of 0 in lambda2 1.110 * [taylor]: Taking taylor expansion of 0 in phi2 1.110 * [taylor]: Taking taylor expansion of 0 in lambda1 1.110 * [taylor]: Taking taylor expansion of 0 in lambda2 1.110 * [taylor]: Taking taylor expansion of 0 in lambda1 1.110 * [taylor]: Taking taylor expansion of 0 in lambda2 1.111 * [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 1.111 * [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 1.111 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 1.111 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 1.111 * [taylor]: Taking taylor expansion of -1 in lambda2 1.111 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.111 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in lambda2 1.111 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 1.111 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 1.111 * [taylor]: Taking taylor expansion of -1 in lambda2 1.111 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.111 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in lambda2 1.112 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda2 1.112 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda2 1.112 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.112 * [taylor]: Taking taylor expansion of -1 in lambda2 1.112 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.112 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda2 1.112 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.112 * [taylor]: Taking taylor expansion of -1 in lambda2 1.112 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.112 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.112 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.112 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.112 * [taylor]: Taking taylor expansion of -1 in lambda2 1.112 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.112 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.112 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.112 * [taylor]: Taking taylor expansion of -1 in lambda2 1.112 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.113 * [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 1.113 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 1.113 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 1.113 * [taylor]: Taking taylor expansion of -1 in lambda1 1.113 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.113 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in lambda1 1.113 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 1.113 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 1.113 * [taylor]: Taking taylor expansion of -1 in lambda1 1.113 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.113 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in lambda1 1.113 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda1 1.113 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda1 1.113 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.113 * [taylor]: Taking taylor expansion of -1 in lambda1 1.113 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.113 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda1 1.113 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.113 * [taylor]: Taking taylor expansion of -1 in lambda1 1.113 * [taylor]: Taking taylor expansion of lambda2 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 -1 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 -1 in lambda1 1.114 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.114 * [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 1.114 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 1.114 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.114 * [taylor]: Taking taylor expansion of -1 in phi2 1.114 * [taylor]: Taking taylor expansion of phi1 in phi2 1.114 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in phi2 1.114 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 1.114 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.114 * [taylor]: Taking taylor expansion of -1 in phi2 1.114 * [taylor]: Taking taylor expansion of phi2 in phi2 1.115 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in phi2 1.115 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi2 1.115 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi2 1.115 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 1.115 * [taylor]: Taking taylor expansion of -1 in phi2 1.115 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.115 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi2 1.115 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 1.115 * [taylor]: Taking taylor expansion of -1 in phi2 1.115 * [taylor]: Taking taylor expansion of lambda2 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 1.115 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 1.115 * [taylor]: Taking taylor expansion of -1 in phi2 1.115 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.115 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi2 1.115 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 1.115 * [taylor]: Taking taylor expansion of -1 in phi2 1.115 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.115 * [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 1.115 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 1.115 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.115 * [taylor]: Taking taylor expansion of -1 in phi1 1.115 * [taylor]: Taking taylor expansion of phi1 in phi1 1.116 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) 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 -1 in phi1 1.116 * [taylor]: Taking taylor expansion of phi2 in phi1 1.116 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in phi1 1.116 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi1 1.116 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi1 1.116 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 1.116 * [taylor]: Taking taylor expansion of -1 in phi1 1.116 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.116 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi1 1.116 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 1.116 * [taylor]: Taking taylor expansion of -1 in phi1 1.116 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.116 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in phi1 1.116 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi1 1.116 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 1.116 * [taylor]: Taking taylor expansion of -1 in phi1 1.116 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.116 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi1 1.116 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 1.117 * [taylor]: Taking taylor expansion of -1 in phi1 1.117 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.117 * [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 1.117 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 1.117 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.117 * [taylor]: Taking taylor expansion of -1 in phi1 1.117 * [taylor]: Taking taylor expansion of phi1 in phi1 1.117 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) 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 1.117 * [taylor]: Taking taylor expansion of -1 in phi1 1.117 * [taylor]: Taking taylor expansion of phi2 in phi1 1.117 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in phi1 1.117 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 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 -1 in phi1 1.117 * [taylor]: Taking taylor expansion of 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 -1 in phi1 1.117 * [taylor]: Taking taylor expansion of lambda2 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 -1 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 -1 in phi1 1.118 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.120 * [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 1.120 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 1.120 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.120 * [taylor]: Taking taylor expansion of -1 in phi2 1.120 * [taylor]: Taking taylor expansion of phi1 in phi2 1.120 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in phi2 1.120 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 1.120 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.120 * [taylor]: Taking taylor expansion of -1 in phi2 1.120 * [taylor]: Taking taylor expansion of phi2 in phi2 1.120 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in phi2 1.120 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi2 1.120 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi2 1.120 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 1.120 * [taylor]: Taking taylor expansion of -1 in phi2 1.121 * [taylor]: Taking taylor expansion of 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 -1 in phi2 1.121 * [taylor]: Taking taylor expansion of lambda2 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 -1 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 -1 in phi2 1.121 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.123 * [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 1.123 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 1.123 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 1.123 * [taylor]: Taking taylor expansion of -1 in lambda1 1.123 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.123 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in lambda1 1.123 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 1.123 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 1.123 * [taylor]: Taking taylor expansion of -1 in lambda1 1.123 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.123 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in lambda1 1.123 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda1 1.123 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda1 1.123 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.123 * [taylor]: Taking taylor expansion of -1 in lambda1 1.123 * [taylor]: Taking taylor expansion of 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 -1 in lambda1 1.124 * [taylor]: Taking taylor expansion of lambda2 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 -1 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 -1 in lambda1 1.124 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.126 * [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 1.126 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 1.126 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 1.126 * [taylor]: Taking taylor expansion of -1 in lambda2 1.126 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.126 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in lambda2 1.126 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 1.126 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 1.127 * [taylor]: Taking taylor expansion of -1 in lambda2 1.127 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.127 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in lambda2 1.127 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda2 1.127 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda2 1.127 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.127 * [taylor]: Taking taylor expansion of -1 in lambda2 1.127 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.127 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda2 1.127 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.127 * [taylor]: Taking taylor expansion of -1 in lambda2 1.127 * [taylor]: Taking taylor expansion of lambda2 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 -1 in lambda2 1.128 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.128 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.128 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.128 * [taylor]: Taking taylor expansion of -1 in lambda2 1.128 * [taylor]: Taking taylor expansion of lambda2 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 1.150 * [taylor]: Taking taylor expansion of 0 in lambda1 1.150 * [taylor]: Taking taylor expansion of 0 in lambda2 1.158 * [taylor]: Taking taylor expansion of 0 in lambda2 1.180 * [taylor]: Taking taylor expansion of 0 in phi2 1.180 * [taylor]: Taking taylor expansion of 0 in lambda1 1.180 * [taylor]: Taking taylor expansion of 0 in lambda2 1.180 * [taylor]: Taking taylor expansion of 0 in lambda1 1.180 * [taylor]: Taking taylor expansion of 0 in lambda2 1.180 * * * [progress]: simplifying candidates 1.182 * [simplify]: Simplifying using # : (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (- (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 phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (+ (+ (log (cos phi1)) (log (cos phi2))) (log (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (+ (log (* (cos phi1) (cos phi2))) (log (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (log (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (exp (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))) (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))) (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (sqrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (sqrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (* (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) 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)))) (* (sqrt (* (cos phi1) (cos phi2))) (sqrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sqrt (* (cos phi1) (cos phi2))) (sqrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (sqrt (cos phi1)) (sqrt (cos phi2))) (sqrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (sqrt (cos phi1)) (sqrt (cos phi2))) (sqrt (+ (* (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)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))) (* (* (cos lambda1) (cos 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 phi1) (cos phi2)) 1) (* (* (cos phi1) (cos phi2)) 1) (* (* (cos phi1) (cos phi2)) 1) (* (* (cos phi1) (cos phi2)) 1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (cbrt (* (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) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (sqrt (cos phi1)) (sqrt (cos phi2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (cbrt (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sqrt (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cbrt (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) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (cos phi1) (+ (* (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))))) (* phi2 phi1) (* (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))))))) 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) (- 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))))) 1.189 * * [simplify]: iteration 0 : 561 enodes (cost 1523 ) 1.199 * * [simplify]: iteration 1 : 2395 enodes (cost 1312 ) 1.241 * * [simplify]: iteration 2 : 5002 enodes (cost 1311 ) 1.250 * [simplify]: Simplified to: (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (- (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)) (* (sin lambda1) (sin lambda2)))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (log (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (log (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (log (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (exp (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (pow (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 3) (pow (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 3) (* (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (pow (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 3) (sqrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (sqrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) 2) (+ (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))))) 8 (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (* (+ (* (* (sin lambda1) (sin lambda2)) (- (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2)))) 2) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (* 2 (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sqrt (* (cos phi1) (cos phi2))) (sqrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sqrt (* (cos phi1) (cos phi2))) (sqrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (sqrt (cos phi1)) (sqrt (cos phi2))) (sqrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (sqrt (cos phi1)) (sqrt (cos phi2))) (sqrt (+ (* (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)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (* (cos phi1) (cos phi2)) (sqrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2)) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (cbrt (* (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) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (sqrt (cos phi1)) (sqrt (cos phi2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (cbrt (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sqrt (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (* (cbrt (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) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (* 2 (+ (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2)))))) (* (* (cos phi1) (cos phi2)) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (* (* (cos phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (* (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) (- 1 (+ (* 1/2 (pow phi1 2)) (* 1/2 (pow phi2 2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 1.250 * * * [progress]: adding candidates to table 1.605 * * [progress]: iteration 3 / 4 1.605 * * * [progress]: picking best candidate 1.701 * * * * [pick]: Picked # 1.701 * * * [progress]: localizing error 1.737 * * * [progress]: generating rewritten candidates 1.737 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.740 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 1.745 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.748 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 2 1) 1.754 * * * [progress]: generating series expansions 1.754 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.755 * [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 1.755 * [taylor]: Taking taylor 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 1.755 * [taylor]: Taking taylor 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 1.756 * [taylor]: Taking taylor 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 1.756 * [taylor]: Taking taylor 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 1.756 * [taylor]: Taking taylor 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 1.757 * [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 1.757 * [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 1.758 * [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 lambda2 1.758 * [taylor]: Taking taylor expansion of 0 in phi2 1.758 * [taylor]: Taking taylor expansion of 0 in lambda1 1.758 * [taylor]: Taking taylor expansion of 0 in lambda2 1.758 * [taylor]: Taking taylor expansion of 0 in lambda1 1.758 * [taylor]: Taking taylor expansion of 0 in lambda2 1.758 * [taylor]: Taking taylor expansion of 0 in lambda2 1.758 * [taylor]: Taking taylor expansion of 0 in phi2 1.759 * [taylor]: Taking taylor expansion of 0 in lambda1 1.759 * [taylor]: Taking taylor expansion of 0 in lambda2 1.759 * [taylor]: Taking taylor expansion of 0 in lambda1 1.759 * [taylor]: Taking taylor expansion of 0 in lambda2 1.759 * [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 1.759 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.760 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.760 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.761 * [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 phi1 1.761 * [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 phi1 1.762 * [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 1.762 * [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 1.763 * [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 lambda2 1.764 * [taylor]: Taking taylor expansion of 0 in phi2 1.764 * [taylor]: Taking taylor expansion of 0 in lambda1 1.764 * [taylor]: Taking taylor expansion of 0 in lambda2 1.764 * [taylor]: Taking taylor expansion of 0 in lambda1 1.764 * [taylor]: Taking taylor expansion of 0 in lambda2 1.764 * [taylor]: Taking taylor expansion of 0 in lambda2 1.764 * [taylor]: Taking taylor expansion of 0 in phi2 1.764 * [taylor]: Taking taylor expansion of 0 in lambda1 1.764 * [taylor]: Taking taylor expansion of 0 in lambda2 1.764 * [taylor]: Taking taylor expansion of 0 in lambda1 1.764 * [taylor]: Taking taylor expansion of 0 in lambda2 1.765 * [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 1.765 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.766 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.766 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.767 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.767 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.768 * [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 phi2 1.768 * [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 1.769 * [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 lambda2 1.770 * [taylor]: Taking taylor expansion of 0 in phi2 1.770 * [taylor]: Taking taylor expansion of 0 in lambda1 1.770 * [taylor]: Taking taylor expansion of 0 in lambda2 1.770 * [taylor]: Taking taylor expansion of 0 in lambda1 1.770 * [taylor]: Taking taylor expansion of 0 in lambda2 1.770 * [taylor]: Taking taylor expansion of 0 in lambda2 1.770 * [taylor]: Taking taylor expansion of 0 in phi2 1.770 * [taylor]: Taking taylor expansion of 0 in lambda1 1.770 * [taylor]: Taking taylor expansion of 0 in lambda2 1.770 * [taylor]: Taking taylor expansion of 0 in lambda1 1.770 * [taylor]: Taking taylor expansion of 0 in lambda2 1.771 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 1.771 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 1.771 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 1.771 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 1.771 * [taylor]: Taking taylor expansion of phi1 in phi2 1.771 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.771 * [taylor]: Taking taylor expansion of phi2 in phi2 1.771 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.771 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.771 * [taylor]: Taking taylor expansion of phi1 in phi1 1.771 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.771 * [taylor]: Taking taylor expansion of phi2 in phi1 1.771 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.771 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.771 * [taylor]: Taking taylor expansion of phi1 in phi1 1.771 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.771 * [taylor]: Taking taylor expansion of phi2 in phi1 1.771 * [taylor]: Taking taylor expansion of 0 in phi2 1.774 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.774 * [taylor]: Taking taylor expansion of phi2 in phi2 1.777 * [taylor]: Taking taylor expansion of 0 in phi2 1.782 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 1.782 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 1.782 * [taylor]: Taking taylor expansion of 1/6 in phi2 1.782 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.782 * [taylor]: Taking taylor expansion of phi2 in phi2 1.788 * [taylor]: Taking taylor expansion of 0 in phi2 1.788 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 1.788 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.788 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.788 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.788 * [taylor]: Taking taylor expansion of phi1 in phi2 1.788 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.788 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.788 * [taylor]: Taking taylor expansion of phi2 in phi2 1.789 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.789 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.789 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.789 * [taylor]: Taking taylor expansion of phi1 in phi1 1.789 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.789 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.789 * [taylor]: Taking taylor expansion of phi2 in phi1 1.789 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.789 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.789 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.789 * [taylor]: Taking taylor expansion of phi1 in phi1 1.790 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.790 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.790 * [taylor]: Taking taylor expansion of phi2 in phi1 1.790 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.790 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.790 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.790 * [taylor]: Taking taylor expansion of phi1 in phi2 1.790 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.790 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.790 * [taylor]: Taking taylor expansion of phi2 in phi2 1.792 * [taylor]: Taking taylor expansion of 0 in phi2 1.797 * [taylor]: Taking taylor expansion of 0 in phi2 1.802 * [taylor]: Taking taylor expansion of 0 in phi2 1.803 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 1.803 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.803 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.803 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.803 * [taylor]: Taking taylor expansion of -1 in phi2 1.803 * [taylor]: Taking taylor expansion of phi1 in phi2 1.803 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.803 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.803 * [taylor]: Taking taylor expansion of -1 in phi2 1.803 * [taylor]: Taking taylor expansion of phi2 in phi2 1.803 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.803 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.803 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.803 * [taylor]: Taking taylor expansion of -1 in phi1 1.803 * [taylor]: Taking taylor expansion of phi1 in phi1 1.804 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.804 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.804 * [taylor]: Taking taylor expansion of -1 in phi1 1.804 * [taylor]: Taking taylor expansion of phi2 in phi1 1.804 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.804 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.804 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.804 * [taylor]: Taking taylor expansion of -1 in phi1 1.804 * [taylor]: Taking taylor expansion of phi1 in phi1 1.804 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.804 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.804 * [taylor]: Taking taylor expansion of -1 in phi1 1.804 * [taylor]: Taking taylor expansion of phi2 in phi1 1.805 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.805 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.805 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.805 * [taylor]: Taking taylor expansion of -1 in phi2 1.805 * [taylor]: Taking taylor expansion of phi1 in phi2 1.805 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.805 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.805 * [taylor]: Taking taylor expansion of -1 in phi2 1.805 * [taylor]: Taking taylor expansion of phi2 in phi2 1.807 * [taylor]: Taking taylor expansion of 0 in phi2 1.811 * [taylor]: Taking taylor expansion of 0 in phi2 1.817 * [taylor]: Taking taylor expansion of 0 in phi2 1.817 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.818 * [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 1.818 * [taylor]: Taking 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 1.818 * [taylor]: Taking taylor 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 1.818 * [taylor]: Taking taylor expansion of R in R 1.818 * [taylor]: Taking 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 1.818 * [taylor]: Taking taylor 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 1.819 * [taylor]: Taking taylor expansion of R in lambda2 1.819 * [taylor]: Taking 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 1.819 * [taylor]: Taking taylor 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 1.819 * [taylor]: Taking taylor expansion of R in lambda1 1.819 * [taylor]: Taking 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 1.819 * [taylor]: Taking taylor 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 1.819 * [taylor]: Taking taylor expansion of R in phi2 1.819 * [taylor]: Taking 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 1.819 * [taylor]: Taking taylor 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 1.820 * [taylor]: Taking taylor expansion of R in phi1 1.820 * [taylor]: Taking 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 1.820 * [taylor]: Taking taylor 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 1.820 * [taylor]: Taking taylor expansion of R in phi1 1.821 * [taylor]: Taking 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 1.821 * [taylor]: Taking taylor 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 1.821 * [taylor]: Taking taylor expansion of R in phi2 1.821 * [taylor]: Taking 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 1.821 * [taylor]: Taking taylor 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 1.822 * [taylor]: Taking taylor expansion of R in lambda1 1.822 * [taylor]: Taking 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 1.822 * [taylor]: Taking taylor 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 1.825 * [taylor]: Taking taylor expansion of R in lambda2 1.826 * [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 R 1.826 * [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 R 1.826 * [taylor]: Taking taylor expansion of R in R 1.827 * [taylor]: Taking taylor expansion of 0 in phi2 1.827 * [taylor]: Taking taylor expansion of 0 in lambda1 1.827 * [taylor]: Taking taylor expansion of 0 in lambda2 1.827 * [taylor]: Taking taylor expansion of 0 in R 1.828 * [taylor]: Taking taylor expansion of 0 in lambda1 1.828 * [taylor]: Taking taylor expansion of 0 in lambda2 1.828 * [taylor]: Taking taylor expansion of 0 in R 1.828 * [taylor]: Taking taylor expansion of 0 in lambda2 1.828 * [taylor]: Taking taylor expansion of 0 in R 1.829 * [taylor]: Taking taylor expansion of 0 in R 1.831 * [taylor]: Taking taylor expansion of 0 in phi2 1.831 * [taylor]: Taking taylor expansion of 0 in lambda1 1.831 * [taylor]: Taking taylor expansion of 0 in lambda2 1.831 * [taylor]: Taking taylor expansion of 0 in R 1.831 * [taylor]: Taking taylor expansion of 0 in lambda1 1.831 * [taylor]: Taking taylor expansion of 0 in lambda2 1.831 * [taylor]: Taking taylor expansion of 0 in R 1.831 * [taylor]: Taking taylor expansion of 0 in lambda1 1.831 * [taylor]: Taking taylor expansion of 0 in lambda2 1.831 * [taylor]: Taking taylor expansion of 0 in R 1.831 * [taylor]: Taking taylor expansion of 0 in lambda2 1.831 * [taylor]: Taking taylor expansion of 0 in R 1.831 * [taylor]: Taking taylor expansion of 0 in lambda2 1.832 * [taylor]: Taking taylor expansion of 0 in R 1.832 * [taylor]: Taking taylor expansion of 0 in lambda2 1.832 * [taylor]: Taking taylor expansion of 0 in R 1.834 * [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 1.834 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.834 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.834 * [taylor]: Taking taylor expansion of R in R 1.835 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.835 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.835 * [taylor]: Taking taylor expansion of R in lambda2 1.836 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.836 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.836 * [taylor]: Taking taylor expansion of R in lambda1 1.837 * [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 phi2 1.837 * [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 phi2 1.837 * [taylor]: Taking taylor expansion of R in phi2 1.838 * [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 phi1 1.838 * [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 phi1 1.838 * [taylor]: Taking taylor expansion of R in phi1 1.839 * [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 phi1 1.839 * [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 phi1 1.839 * [taylor]: Taking taylor expansion of R in phi1 1.840 * [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 1.840 * [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 1.840 * [taylor]: Taking taylor expansion of R in phi2 1.841 * [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 lambda1 1.841 * [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 lambda1 1.841 * [taylor]: Taking taylor expansion of R in lambda1 1.842 * [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 lambda2 1.842 * [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 lambda2 1.842 * [taylor]: Taking taylor expansion of R in lambda2 1.843 * [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 R 1.843 * [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 R 1.843 * [taylor]: Taking taylor expansion of R in R 1.845 * [taylor]: Taking taylor expansion of 0 in phi2 1.845 * [taylor]: Taking taylor expansion of 0 in lambda1 1.845 * [taylor]: Taking taylor expansion of 0 in lambda2 1.845 * [taylor]: Taking taylor expansion of 0 in R 1.846 * [taylor]: Taking taylor expansion of 0 in lambda1 1.846 * [taylor]: Taking taylor expansion of 0 in lambda2 1.846 * [taylor]: Taking taylor expansion of 0 in R 1.847 * [taylor]: Taking taylor expansion of 0 in lambda2 1.847 * [taylor]: Taking taylor expansion of 0 in R 1.847 * [taylor]: Taking taylor expansion of 0 in R 1.849 * [taylor]: Taking taylor expansion of 0 in phi2 1.849 * [taylor]: Taking taylor expansion of 0 in lambda1 1.849 * [taylor]: Taking taylor expansion of 0 in lambda2 1.849 * [taylor]: Taking taylor expansion of 0 in R 1.849 * [taylor]: Taking taylor expansion of 0 in lambda1 1.849 * [taylor]: Taking taylor expansion of 0 in lambda2 1.849 * [taylor]: Taking taylor expansion of 0 in R 1.850 * [taylor]: Taking taylor expansion of 0 in lambda1 1.850 * [taylor]: Taking taylor expansion of 0 in lambda2 1.850 * [taylor]: Taking taylor expansion of 0 in R 1.850 * [taylor]: Taking taylor expansion of 0 in lambda2 1.850 * [taylor]: Taking taylor expansion of 0 in R 1.850 * [taylor]: Taking taylor expansion of 0 in lambda2 1.850 * [taylor]: Taking taylor expansion of 0 in R 1.851 * [taylor]: Taking taylor expansion of 0 in lambda2 1.851 * [taylor]: Taking taylor expansion of 0 in R 1.851 * [taylor]: Taking taylor expansion of 0 in R 1.851 * [taylor]: Taking taylor expansion of 0 in R 1.851 * [taylor]: Taking taylor expansion of 0 in R 1.851 * [taylor]: Taking taylor expansion of 0 in R 1.855 * [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 1.855 * [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 1.855 * [taylor]: Taking taylor expansion of -1 in R 1.855 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 1.855 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.855 * [taylor]: Taking taylor expansion of R in R 1.856 * [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 1.856 * [taylor]: Taking taylor expansion of -1 in lambda2 1.856 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 1.856 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.856 * [taylor]: Taking taylor expansion of R in lambda2 1.857 * [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 1.857 * [taylor]: Taking taylor expansion of -1 in lambda1 1.857 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 1.857 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.857 * [taylor]: Taking taylor expansion of R in lambda1 1.858 * [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 1.858 * [taylor]: Taking taylor expansion of -1 in phi2 1.858 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 1.858 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.858 * [taylor]: Taking taylor expansion of R in phi2 1.859 * [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 phi1 1.859 * [taylor]: Taking taylor expansion of -1 in phi1 1.859 * [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 phi1 1.859 * [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 phi1 1.860 * [taylor]: Taking taylor expansion of R in phi1 1.860 * [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 phi1 1.860 * [taylor]: Taking taylor expansion of -1 in phi1 1.860 * [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 phi1 1.860 * [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 phi1 1.861 * [taylor]: Taking taylor expansion of R in phi1 1.862 * [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 1.862 * [taylor]: Taking taylor expansion of -1 in phi2 1.862 * [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 1.862 * [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 1.862 * [taylor]: Taking taylor expansion of R in phi2 1.863 * [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 lambda1 1.863 * [taylor]: Taking taylor expansion of -1 in lambda1 1.863 * [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 lambda1 1.863 * [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 lambda1 1.864 * [taylor]: Taking taylor expansion of R in lambda1 1.865 * [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 1.865 * [taylor]: Taking taylor expansion of -1 in lambda2 1.865 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 1.865 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.866 * [taylor]: Taking taylor expansion of R in lambda2 1.867 * [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 R 1.867 * [taylor]: Taking taylor expansion of -1 in R 1.867 * [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 R 1.867 * [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 R 1.867 * [taylor]: Taking taylor expansion of R in R 1.870 * [taylor]: Taking taylor expansion of 0 in phi2 1.870 * [taylor]: Taking taylor expansion of 0 in lambda1 1.870 * [taylor]: Taking taylor expansion of 0 in lambda2 1.871 * [taylor]: Taking taylor expansion of 0 in R 1.872 * [taylor]: Taking taylor expansion of 0 in lambda1 1.872 * [taylor]: Taking taylor expansion of 0 in lambda2 1.872 * [taylor]: Taking taylor expansion of 0 in R 1.874 * [taylor]: Taking taylor expansion of 0 in lambda2 1.874 * [taylor]: Taking taylor expansion of 0 in R 1.875 * [taylor]: Taking taylor expansion of 0 in R 1.879 * [taylor]: Taking taylor expansion of 0 in phi2 1.879 * [taylor]: Taking taylor expansion of 0 in lambda1 1.879 * [taylor]: Taking taylor expansion of 0 in lambda2 1.879 * [taylor]: Taking taylor expansion of 0 in R 1.879 * [taylor]: Taking taylor expansion of 0 in lambda1 1.879 * [taylor]: Taking taylor expansion of 0 in lambda2 1.879 * [taylor]: Taking taylor expansion of 0 in R 1.881 * [taylor]: Taking taylor expansion of 0 in lambda1 1.881 * [taylor]: Taking taylor expansion of 0 in lambda2 1.881 * [taylor]: Taking taylor expansion of 0 in R 1.881 * [taylor]: Taking taylor expansion of 0 in lambda2 1.881 * [taylor]: Taking taylor expansion of 0 in R 1.881 * [taylor]: Taking taylor expansion of 0 in lambda2 1.881 * [taylor]: Taking taylor expansion of 0 in R 1.883 * [taylor]: Taking taylor expansion of 0 in lambda2 1.883 * [taylor]: Taking taylor expansion of 0 in R 1.883 * [taylor]: Taking taylor expansion of 0 in R 1.883 * [taylor]: Taking taylor expansion of 0 in R 1.883 * [taylor]: Taking taylor expansion of 0 in R 1.885 * [taylor]: Taking taylor expansion of 0 in R 1.888 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 2 1) 1.889 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 1.889 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 1.889 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 1.889 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.889 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.889 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.889 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.889 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.889 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.889 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.889 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.889 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.889 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.889 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.889 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.889 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.889 * [taylor]: Taking taylor expansion of 0 in lambda2 1.891 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.892 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.895 * [taylor]: Taking taylor expansion of 0 in lambda2 1.899 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2 1.899 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 1.900 * [taylor]: Taking taylor expansion of 1/6 in lambda2 1.900 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.900 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.909 * [taylor]: Taking taylor expansion of 0 in lambda2 1.909 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 1.909 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.909 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.909 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.909 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.909 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.909 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.909 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.909 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.909 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.909 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.910 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.910 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.910 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.910 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.910 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.910 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.910 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.910 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.910 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.910 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.910 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.911 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.911 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.911 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.911 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.911 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.911 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.911 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.913 * [taylor]: Taking taylor expansion of 0 in lambda2 1.918 * [taylor]: Taking taylor expansion of 0 in lambda2 1.924 * [taylor]: Taking taylor expansion of 0 in lambda2 1.924 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 1.924 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.924 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.924 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.924 * [taylor]: Taking taylor expansion of -1 in lambda2 1.924 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.924 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.924 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.924 * [taylor]: Taking taylor expansion of -1 in lambda2 1.924 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.925 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.925 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.925 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.925 * [taylor]: Taking taylor expansion of -1 in lambda1 1.925 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.925 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.925 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.925 * [taylor]: Taking taylor expansion of -1 in lambda1 1.925 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.925 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.925 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.925 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.925 * [taylor]: Taking taylor expansion of -1 in lambda1 1.925 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.926 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.926 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.926 * [taylor]: Taking taylor expansion of -1 in lambda1 1.926 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.926 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.926 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.926 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.926 * [taylor]: Taking taylor expansion of -1 in lambda2 1.926 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.926 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.926 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.926 * [taylor]: Taking taylor expansion of -1 in lambda2 1.926 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.929 * [taylor]: Taking taylor expansion of 0 in lambda2 1.933 * [taylor]: Taking taylor expansion of 0 in lambda2 1.939 * [taylor]: Taking taylor expansion of 0 in lambda2 1.940 * * * [progress]: simplifying candidates 1.941 * [simplify]: Simplifying using # : (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) R) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2)) (+ (log (sin lambda1)) (log (sin lambda2))) (log (* (sin lambda1) (sin lambda2))) (exp (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))) (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (* (sin lambda1) (sqrt (sin lambda2))) (* (sin lambda1) 1) (* (cbrt (sin lambda1)) (sin lambda2)) (* (sqrt (sin lambda1)) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin 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))))) (* phi2 phi1) (* (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))))))) 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) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) 1.947 * * [simplify]: iteration 0 : 265 enodes (cost 963 ) 1.951 * * [simplify]: iteration 1 : 883 enodes (cost 808 ) 1.965 * * [simplify]: iteration 2 : 2046 enodes (cost 808 ) 1.988 * * [simplify]: iteration 3 : 3174 enodes (cost 808 ) 2.018 * * [simplify]: iteration 4 : 5001 enodes (cost 808 ) 2.022 * [simplify]: Simplified to: (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (- (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) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) R) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2)) (log (* (sin lambda1) (sin lambda2))) (log (* (sin lambda1) (sin lambda2))) (exp (* (sin lambda1) (sin lambda2))) (pow (* (sin lambda1) (sin lambda2)) 3) (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (pow (* (sin lambda1) (sin lambda2)) 3) (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (* (sin lambda1) (sqrt (sin lambda2))) (sin lambda1) (* (cbrt (sin lambda1)) (sin lambda2)) (* (sqrt (sin lambda1)) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) R) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) 2.022 * * * [progress]: adding candidates to table 2.308 * * [progress]: iteration 4 / 4 2.308 * * * [progress]: picking best candidate 2.406 * * * * [pick]: Picked # 2.406 * * * [progress]: localizing error 2.449 * * * [progress]: generating rewritten candidates 2.449 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 2.452 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.458 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 2.462 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1) 2.469 * * * [progress]: generating series expansions 2.469 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 2.469 * [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 2.469 * [taylor]: Taking taylor 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 2.470 * [taylor]: Taking taylor 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 2.470 * [taylor]: Taking taylor 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 2.471 * [taylor]: Taking taylor 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 2.471 * [taylor]: Taking taylor 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 2.471 * [taylor]: Taking taylor 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 2.472 * [taylor]: Taking taylor 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 2.472 * [taylor]: Taking taylor 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 2.473 * [taylor]: Taking taylor expansion of 0 in phi2 2.473 * [taylor]: Taking taylor expansion of 0 in lambda1 2.473 * [taylor]: Taking taylor expansion of 0 in lambda2 2.473 * [taylor]: Taking taylor expansion of 0 in lambda1 2.473 * [taylor]: Taking taylor expansion of 0 in lambda2 2.473 * [taylor]: Taking taylor expansion of 0 in lambda2 2.473 * [taylor]: Taking taylor expansion of 0 in phi2 2.473 * [taylor]: Taking taylor expansion of 0 in lambda1 2.473 * [taylor]: Taking taylor expansion of 0 in lambda2 2.473 * [taylor]: Taking taylor expansion of 0 in lambda1 2.473 * [taylor]: Taking taylor expansion of 0 in lambda2 2.474 * [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 2.474 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 2.475 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 2.475 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 2.475 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 2.476 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 2.477 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 2.477 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 2.478 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 2.479 * [taylor]: Taking taylor expansion of 0 in phi2 2.479 * [taylor]: Taking taylor expansion of 0 in lambda1 2.479 * [taylor]: Taking taylor expansion of 0 in lambda2 2.479 * [taylor]: Taking taylor expansion of 0 in lambda1 2.479 * [taylor]: Taking taylor expansion of 0 in lambda2 2.479 * [taylor]: Taking taylor expansion of 0 in lambda2 2.479 * [taylor]: Taking taylor expansion of 0 in phi2 2.479 * [taylor]: Taking taylor expansion of 0 in lambda1 2.479 * [taylor]: Taking taylor expansion of 0 in lambda2 2.479 * [taylor]: Taking taylor expansion of 0 in lambda1 2.479 * [taylor]: Taking taylor expansion of 0 in lambda2 2.480 * [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 2.480 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.481 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.481 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.482 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.482 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.483 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.483 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.483 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.485 * [taylor]: Taking taylor expansion of 0 in phi2 2.485 * [taylor]: Taking taylor expansion of 0 in lambda1 2.485 * [taylor]: Taking taylor expansion of 0 in lambda2 2.485 * [taylor]: Taking taylor expansion of 0 in lambda1 2.485 * [taylor]: Taking taylor expansion of 0 in lambda2 2.485 * [taylor]: Taking taylor expansion of 0 in lambda2 2.485 * [taylor]: Taking taylor expansion of 0 in phi2 2.485 * [taylor]: Taking taylor expansion of 0 in lambda1 2.485 * [taylor]: Taking taylor expansion of 0 in lambda2 2.485 * [taylor]: Taking taylor expansion of 0 in lambda1 2.485 * [taylor]: Taking taylor expansion of 0 in lambda2 2.486 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.486 * [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 2.486 * [taylor]: Taking taylor 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 2.486 * [taylor]: Taking taylor 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 2.487 * [taylor]: Taking taylor 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 2.487 * [taylor]: Taking taylor 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 2.488 * [taylor]: Taking taylor 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 2.488 * [taylor]: Taking taylor 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 2.488 * [taylor]: Taking taylor 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 2.489 * [taylor]: Taking taylor 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 2.489 * [taylor]: Taking taylor expansion of 0 in phi2 2.489 * [taylor]: Taking taylor expansion of 0 in lambda1 2.490 * [taylor]: Taking taylor expansion of 0 in lambda2 2.490 * [taylor]: Taking taylor expansion of 0 in lambda1 2.490 * [taylor]: Taking taylor expansion of 0 in lambda2 2.490 * [taylor]: Taking taylor expansion of 0 in lambda2 2.490 * [taylor]: Taking taylor expansion of 0 in phi2 2.490 * [taylor]: Taking taylor expansion of 0 in lambda1 2.490 * [taylor]: Taking taylor expansion of 0 in lambda2 2.490 * [taylor]: Taking taylor expansion of 0 in lambda1 2.490 * [taylor]: Taking taylor expansion of 0 in lambda2 2.491 * [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 2.491 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 2.491 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 2.492 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 2.492 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 2.493 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 2.493 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 2.494 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 2.494 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 2.495 * [taylor]: Taking taylor expansion of 0 in phi2 2.495 * [taylor]: Taking taylor expansion of 0 in lambda1 2.495 * [taylor]: Taking taylor expansion of 0 in lambda2 2.495 * [taylor]: Taking taylor expansion of 0 in lambda1 2.495 * [taylor]: Taking taylor expansion of 0 in lambda2 2.495 * [taylor]: Taking taylor expansion of 0 in lambda2 2.495 * [taylor]: Taking taylor expansion of 0 in phi2 2.495 * [taylor]: Taking taylor expansion of 0 in lambda1 2.495 * [taylor]: Taking taylor expansion of 0 in lambda2 2.496 * [taylor]: Taking taylor expansion of 0 in lambda1 2.496 * [taylor]: Taking taylor expansion of 0 in lambda2 2.497 * [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 2.497 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 2.497 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 2.498 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 2.498 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 2.499 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 2.499 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 2.500 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 2.500 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 2.501 * [taylor]: Taking taylor expansion of 0 in phi2 2.501 * [taylor]: Taking taylor expansion of 0 in lambda1 2.501 * [taylor]: Taking taylor expansion of 0 in lambda2 2.501 * [taylor]: Taking taylor expansion of 0 in lambda1 2.501 * [taylor]: Taking taylor expansion of 0 in lambda2 2.501 * [taylor]: Taking taylor expansion of 0 in lambda2 2.501 * [taylor]: Taking taylor expansion of 0 in phi2 2.502 * [taylor]: Taking taylor expansion of 0 in lambda1 2.502 * [taylor]: Taking taylor expansion of 0 in lambda2 2.502 * [taylor]: Taking taylor expansion of 0 in lambda1 2.502 * [taylor]: Taking taylor expansion of 0 in lambda2 2.502 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 2.503 * [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 2.503 * [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 2.503 * [taylor]: Taking taylor 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 2.503 * [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 2.503 * [taylor]: Taking taylor 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 2.504 * [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 2.504 * [taylor]: Taking taylor 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 2.505 * [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 2.505 * [taylor]: Taking taylor 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 2.506 * [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 2.506 * [taylor]: Taking taylor 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 2.506 * [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 2.507 * [taylor]: Taking taylor 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 2.507 * [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 2.507 * [taylor]: Taking taylor 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 2.508 * [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 2.508 * [taylor]: Taking taylor 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 2.510 * [taylor]: Taking taylor expansion of 0 in phi2 2.510 * [taylor]: Taking taylor expansion of 0 in lambda1 2.511 * [taylor]: Taking taylor expansion of 0 in lambda2 2.511 * [taylor]: Taking taylor expansion of 0 in lambda1 2.511 * [taylor]: Taking taylor expansion of 0 in lambda2 2.512 * [taylor]: Taking taylor expansion of 0 in lambda2 2.515 * [taylor]: Taking taylor expansion of 0 in phi2 2.515 * [taylor]: Taking taylor expansion of 0 in lambda1 2.515 * [taylor]: Taking taylor expansion of 0 in lambda2 2.515 * [taylor]: Taking taylor expansion of 0 in lambda1 2.515 * [taylor]: Taking taylor expansion of 0 in lambda2 2.516 * [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 2.516 * [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 2.516 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 2.517 * [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 2.517 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 2.518 * [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 2.518 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 2.519 * [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 2.519 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 2.520 * [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 2.520 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 2.521 * [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 2.521 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 2.522 * [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 2.522 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 2.523 * [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 2.523 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 2.526 * [taylor]: Taking taylor expansion of 0 in phi2 2.526 * [taylor]: Taking taylor expansion of 0 in lambda1 2.526 * [taylor]: Taking taylor expansion of 0 in lambda2 2.527 * [taylor]: Taking taylor expansion of 0 in lambda1 2.527 * [taylor]: Taking taylor expansion of 0 in lambda2 2.532 * [taylor]: Taking taylor expansion of 0 in lambda2 2.534 * [taylor]: Taking taylor expansion of 0 in phi2 2.534 * [taylor]: Taking taylor expansion of 0 in lambda1 2.534 * [taylor]: Taking taylor expansion of 0 in lambda2 2.534 * [taylor]: Taking taylor expansion of 0 in lambda1 2.534 * [taylor]: Taking taylor expansion of 0 in lambda2 2.536 * [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 2.536 * [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 2.536 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.537 * [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 2.537 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.538 * [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 2.538 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.539 * [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 2.539 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.540 * [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 2.540 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 2.541 * [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 2.541 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 2.542 * [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 2.542 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 2.543 * [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 2.543 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 2.546 * [taylor]: Taking taylor expansion of 0 in phi2 2.546 * [taylor]: Taking taylor expansion of 0 in lambda1 2.546 * [taylor]: Taking taylor expansion of 0 in lambda2 2.547 * [taylor]: Taking taylor expansion of 0 in lambda1 2.547 * [taylor]: Taking taylor expansion of 0 in lambda2 2.548 * [taylor]: Taking taylor expansion of 0 in lambda2 2.550 * [taylor]: Taking taylor expansion of 0 in phi2 2.551 * [taylor]: Taking taylor expansion of 0 in lambda1 2.551 * [taylor]: Taking taylor expansion of 0 in lambda2 2.551 * [taylor]: Taking taylor expansion of 0 in lambda1 2.551 * [taylor]: Taking taylor expansion of 0 in lambda2 2.551 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1) 2.551 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 2.552 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 2.552 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 2.552 * [taylor]: Taking taylor expansion of phi1 in phi2 2.552 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.552 * [taylor]: Taking taylor expansion of phi2 in phi2 2.552 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 2.552 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 2.552 * [taylor]: Taking taylor expansion of phi1 in phi1 2.552 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 2.552 * [taylor]: Taking taylor expansion of phi2 in phi1 2.552 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 2.552 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 2.552 * [taylor]: Taking taylor expansion of phi1 in phi1 2.552 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 2.552 * [taylor]: Taking taylor expansion of phi2 in phi1 2.552 * [taylor]: Taking taylor expansion of 0 in phi2 2.554 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.554 * [taylor]: Taking taylor expansion of phi2 in phi2 2.558 * [taylor]: Taking taylor expansion of 0 in phi2 2.562 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 2.562 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 2.562 * [taylor]: Taking taylor expansion of 1/6 in phi2 2.562 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.562 * [taylor]: Taking taylor expansion of phi2 in phi2 2.569 * [taylor]: Taking taylor expansion of 0 in phi2 2.569 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 2.569 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 2.569 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 2.569 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.569 * [taylor]: Taking taylor expansion of phi1 in phi2 2.569 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 2.569 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.569 * [taylor]: Taking taylor expansion of phi2 in phi2 2.569 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 2.569 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 2.569 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.569 * [taylor]: Taking taylor expansion of phi1 in phi1 2.570 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 2.570 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.570 * [taylor]: Taking taylor expansion of phi2 in phi1 2.570 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 2.570 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 2.570 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.570 * [taylor]: Taking taylor expansion of phi1 in phi1 2.570 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 2.570 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.570 * [taylor]: Taking taylor expansion of phi2 in phi1 2.571 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 2.571 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 2.571 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.571 * [taylor]: Taking taylor expansion of phi1 in phi2 2.571 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 2.571 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.571 * [taylor]: Taking taylor expansion of phi2 in phi2 2.573 * [taylor]: Taking taylor expansion of 0 in phi2 2.578 * [taylor]: Taking taylor expansion of 0 in phi2 2.583 * [taylor]: Taking taylor expansion of 0 in phi2 2.584 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 2.584 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 2.584 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 2.584 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.584 * [taylor]: Taking taylor expansion of -1 in phi2 2.584 * [taylor]: Taking taylor expansion of phi1 in phi2 2.584 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 2.584 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.584 * [taylor]: Taking taylor expansion of -1 in phi2 2.584 * [taylor]: Taking taylor expansion of phi2 in phi2 2.584 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 2.584 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 2.584 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.584 * [taylor]: Taking taylor expansion of -1 in phi1 2.584 * [taylor]: Taking taylor expansion of phi1 in phi1 2.585 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 2.585 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.585 * [taylor]: Taking taylor expansion of -1 in phi1 2.585 * [taylor]: Taking taylor expansion of phi2 in phi1 2.585 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 2.585 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 2.585 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.585 * [taylor]: Taking taylor expansion of -1 in phi1 2.585 * [taylor]: Taking taylor expansion of phi1 in phi1 2.585 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 2.585 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.585 * [taylor]: Taking taylor expansion of -1 in phi1 2.585 * [taylor]: Taking taylor expansion of phi2 in phi1 2.586 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 2.586 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 2.586 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.586 * [taylor]: Taking taylor expansion of -1 in phi2 2.586 * [taylor]: Taking taylor expansion of phi1 in phi2 2.586 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 2.586 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.586 * [taylor]: Taking taylor expansion of -1 in phi2 2.586 * [taylor]: Taking taylor expansion of phi2 in phi2 2.588 * [taylor]: Taking taylor expansion of 0 in phi2 2.592 * [taylor]: Taking taylor expansion of 0 in phi2 2.598 * [taylor]: Taking taylor expansion of 0 in phi2 2.598 * * * [progress]: simplifying candidates 2.599 * [simplify]: Simplifying using # : (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (log (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))))) (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))))) (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))))) (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))))) (log 1) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) (log (exp (/ PI 2))) (log (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) (log (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))))) (log (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))))) (log (exp 1)) (log (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))))) (exp (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))))) (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))))) (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))))) (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))))) (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))))) (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))))) (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))))) (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))))) (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) (exp 1) (exp (/ PI 2)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) (exp (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) (* (* (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) (exp (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 2.605 * * [simplify]: iteration 0 : 189 enodes (cost 1136 ) 2.608 * * [simplify]: iteration 1 : 507 enodes (cost 969 ) 2.617 * * [simplify]: iteration 2 : 1135 enodes (cost 969 ) 2.630 * * [simplify]: iteration 3 : 1933 enodes (cost 969 ) 2.649 * * [simplify]: iteration 4 : 3498 enodes (cost 969 ) 2.692 * * [simplify]: iteration 5 : 5002 enodes (cost 969 ) 2.696 * [simplify]: Simplified to: (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (* 2 (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))))) (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))))) (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))))) (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))))) 0 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) 1 (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))))) (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) E (exp (/ PI 2)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (exp (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) (pow (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) 3) (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) (- (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) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) 1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 2.697 * * * [progress]: adding candidates to table 2.969 * [progress]: [Phase 3 of 3] Extracting. 2.969 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # #) 2.992 * * * [regime-changes]: Trying 7 branch expressions: ((- lambda1 lambda2) (cos (- lambda1 lambda2)) phi2 phi1 lambda2 lambda1 R) 2.992 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (# # # # # # # # # # # # # # # # #) 3.118 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (# # # # # # # # # # # # # # # # #) 3.241 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # # # # # # # # # #) 3.365 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # # # # # # # # # #) 3.512 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # # # # # # # # # # #) 3.635 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # # # # # # # # # #) 3.758 * * * * [regimes]: Trying to branch on R from (# # # # # # # # # # # # # # # # #) 3.880 * * * [regime]: Found split indices: #