11.882 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.253 * * * [progress]: [2/2] Setting up program. 0.257 * [progress]: [Phase 2 of 3] Improving. 0.257 * [simplify]: Simplifying using # : (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.259 * * [simplify]: iteration 0 : 27 enodes (cost 12 ) 0.261 * * [simplify]: iteration 1 : 39 enodes (cost 12 ) 0.262 * * [simplify]: iteration 2 : 44 enodes (cost 12 ) 0.263 * * [simplify]: iteration 3 : 45 enodes (cost 12 ) 0.265 * * [simplify]: iteration 4 : 45 enodes (cost 12 ) 0.265 * [simplify]: Simplified to: (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.265 * * [progress]: iteration 1 / 4 0.265 * * * [progress]: picking best candidate 0.268 * * * * [pick]: Picked # 0.268 * * * [progress]: localizing error 0.291 * * * [progress]: generating rewritten candidates 0.292 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 0.294 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.296 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.298 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.301 * * * [progress]: generating series expansions 0.301 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 0.302 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 0.302 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 0.302 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 0.302 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.302 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.302 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.302 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.302 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.302 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.302 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.302 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.302 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.302 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.303 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.303 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.303 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.305 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 0.306 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 0.306 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.306 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.309 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 0.309 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 0.309 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.309 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.309 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.309 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.311 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 0.311 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.311 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.311 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.311 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.311 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.311 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.312 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.312 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.312 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.312 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.312 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.312 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.313 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.313 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.313 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.313 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.313 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.313 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.313 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.313 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.313 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.313 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.313 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.313 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.314 * [taylor]: Taking taylor expansion of 0 in lambda2 0.314 * [taylor]: Taking taylor expansion of 0 in lambda2 0.314 * [taylor]: Taking taylor expansion of 0 in lambda2 0.315 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 0.315 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.315 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.315 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.315 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.315 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.315 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.315 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.315 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.315 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.315 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.315 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.315 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.316 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.316 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.316 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.316 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.316 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.316 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.317 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.317 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.317 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.317 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.317 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.317 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.318 * [taylor]: Taking taylor expansion of 0 in lambda2 0.318 * [taylor]: Taking taylor expansion of 0 in lambda2 0.318 * [taylor]: Taking taylor expansion of 0 in lambda2 0.318 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.318 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.318 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.318 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.319 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.319 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.319 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.319 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.319 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.320 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.320 * [taylor]: Taking taylor expansion of 0 in phi2 0.320 * [taylor]: Taking taylor expansion of 0 in lambda1 0.320 * [taylor]: Taking taylor expansion of 0 in lambda2 0.320 * [taylor]: Taking taylor expansion of 0 in lambda1 0.320 * [taylor]: Taking taylor expansion of 0 in lambda2 0.320 * [taylor]: Taking taylor expansion of 0 in lambda2 0.320 * [taylor]: Taking taylor expansion of 0 in phi2 0.320 * [taylor]: Taking taylor expansion of 0 in lambda1 0.320 * [taylor]: Taking taylor expansion of 0 in lambda2 0.320 * [taylor]: Taking taylor expansion of 0 in lambda1 0.320 * [taylor]: Taking taylor expansion of 0 in lambda2 0.321 * [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 0.321 * [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 0.321 * [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 0.321 * [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 0.322 * [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 0.322 * [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 0.322 * [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 0.322 * [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 0.323 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2 0.328 * [taylor]: Taking taylor expansion of 0 in phi2 0.328 * [taylor]: Taking taylor expansion of 0 in lambda1 0.328 * [taylor]: Taking taylor expansion of 0 in lambda2 0.328 * [taylor]: Taking taylor expansion of 0 in lambda1 0.328 * [taylor]: Taking taylor expansion of 0 in lambda2 0.328 * [taylor]: Taking taylor expansion of 0 in lambda2 0.328 * [taylor]: Taking taylor expansion of 0 in phi2 0.328 * [taylor]: Taking taylor expansion of 0 in lambda1 0.328 * [taylor]: Taking taylor expansion of 0 in lambda2 0.328 * [taylor]: Taking taylor expansion of 0 in lambda1 0.328 * [taylor]: Taking taylor expansion of 0 in lambda2 0.329 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.329 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 0.329 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 0.329 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 0.329 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 0.330 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 0.330 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 0.331 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 0.331 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 0.332 * [taylor]: Taking taylor expansion of 0 in phi2 0.332 * [taylor]: Taking taylor expansion of 0 in lambda1 0.332 * [taylor]: Taking taylor expansion of 0 in lambda2 0.332 * [taylor]: Taking taylor expansion of 0 in lambda1 0.332 * [taylor]: Taking taylor expansion of 0 in lambda2 0.332 * [taylor]: Taking taylor expansion of 0 in lambda2 0.332 * [taylor]: Taking taylor expansion of 0 in phi2 0.332 * [taylor]: Taking taylor expansion of 0 in lambda1 0.332 * [taylor]: Taking taylor expansion of 0 in lambda2 0.332 * [taylor]: Taking taylor expansion of 0 in lambda1 0.332 * [taylor]: Taking taylor expansion of 0 in lambda2 0.332 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.333 * [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 0.333 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.333 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.333 * [taylor]: Taking taylor expansion of R in R 0.333 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.333 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.333 * [taylor]: Taking taylor expansion of R in lambda2 0.333 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.333 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.333 * [taylor]: Taking taylor expansion of R in lambda1 0.333 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.333 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.333 * [taylor]: Taking taylor expansion of R in phi2 0.333 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.333 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.334 * [taylor]: Taking taylor expansion of R in phi1 0.334 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.334 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.334 * [taylor]: Taking taylor expansion of R in phi1 0.334 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.334 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.334 * [taylor]: Taking taylor expansion of R in phi2 0.334 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.335 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.335 * [taylor]: Taking taylor expansion of R in lambda1 0.335 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.335 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.335 * [taylor]: Taking taylor expansion of R in lambda2 0.335 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.335 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.336 * [taylor]: Taking taylor expansion of R in R 0.336 * [taylor]: Taking taylor expansion of 0 in phi2 0.336 * [taylor]: Taking taylor expansion of 0 in lambda1 0.336 * [taylor]: Taking taylor expansion of 0 in lambda2 0.336 * [taylor]: Taking taylor expansion of 0 in R 0.336 * [taylor]: Taking taylor expansion of 0 in lambda1 0.336 * [taylor]: Taking taylor expansion of 0 in lambda2 0.336 * [taylor]: Taking taylor expansion of 0 in R 0.336 * [taylor]: Taking taylor expansion of 0 in lambda2 0.337 * [taylor]: Taking taylor expansion of 0 in R 0.337 * [taylor]: Taking taylor expansion of 0 in R 0.338 * [taylor]: Taking taylor expansion of 0 in phi2 0.338 * [taylor]: Taking taylor expansion of 0 in lambda1 0.338 * [taylor]: Taking taylor expansion of 0 in lambda2 0.338 * [taylor]: Taking taylor expansion of 0 in R 0.338 * [taylor]: Taking taylor expansion of 0 in lambda1 0.338 * [taylor]: Taking taylor expansion of 0 in lambda2 0.338 * [taylor]: Taking taylor expansion of 0 in R 0.339 * [taylor]: Taking taylor expansion of 0 in lambda1 0.339 * [taylor]: Taking taylor expansion of 0 in lambda2 0.339 * [taylor]: Taking taylor expansion of 0 in R 0.339 * [taylor]: Taking taylor expansion of 0 in lambda2 0.339 * [taylor]: Taking taylor expansion of 0 in R 0.339 * [taylor]: Taking taylor expansion of 0 in lambda2 0.339 * [taylor]: Taking taylor expansion of 0 in R 0.340 * [taylor]: Taking taylor expansion of 0 in lambda2 0.340 * [taylor]: Taking taylor expansion of 0 in R 0.341 * [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 0.341 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in R 0.341 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in R 0.341 * [taylor]: Taking taylor expansion of R in R 0.341 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda2 0.341 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2 0.342 * [taylor]: Taking taylor expansion of R in lambda2 0.342 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda1 0.342 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1 0.342 * [taylor]: Taking taylor expansion of R in lambda1 0.342 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi2 0.343 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2 0.343 * [taylor]: Taking taylor expansion of R in phi2 0.343 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi1 0.343 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1 0.343 * [taylor]: Taking taylor expansion of R in phi1 0.344 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi1 0.344 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1 0.344 * [taylor]: Taking taylor expansion of R in phi1 0.344 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi2 0.344 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2 0.345 * [taylor]: Taking taylor expansion of R in phi2 0.345 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda1 0.345 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1 0.345 * [taylor]: Taking taylor expansion of R in lambda1 0.345 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda2 0.345 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2 0.346 * [taylor]: Taking taylor expansion of R in lambda2 0.346 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in R 0.346 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in R 0.346 * [taylor]: Taking taylor expansion of R in R 0.347 * [taylor]: Taking taylor expansion of 0 in phi2 0.347 * [taylor]: Taking taylor expansion of 0 in lambda1 0.347 * [taylor]: Taking taylor expansion of 0 in lambda2 0.347 * [taylor]: Taking taylor expansion of 0 in R 0.348 * [taylor]: Taking taylor expansion of 0 in lambda1 0.348 * [taylor]: Taking taylor expansion of 0 in lambda2 0.348 * [taylor]: Taking taylor expansion of 0 in R 0.348 * [taylor]: Taking taylor expansion of 0 in lambda2 0.348 * [taylor]: Taking taylor expansion of 0 in R 0.348 * [taylor]: Taking taylor expansion of 0 in R 0.350 * [taylor]: Taking taylor expansion of 0 in phi2 0.350 * [taylor]: Taking taylor expansion of 0 in lambda1 0.350 * [taylor]: Taking taylor expansion of 0 in lambda2 0.350 * [taylor]: Taking taylor expansion of 0 in R 0.350 * [taylor]: Taking taylor expansion of 0 in lambda1 0.350 * [taylor]: Taking taylor expansion of 0 in lambda2 0.350 * [taylor]: Taking taylor expansion of 0 in R 0.350 * [taylor]: Taking taylor expansion of 0 in lambda1 0.350 * [taylor]: Taking taylor expansion of 0 in lambda2 0.350 * [taylor]: Taking taylor expansion of 0 in R 0.350 * [taylor]: Taking taylor expansion of 0 in lambda2 0.350 * [taylor]: Taking taylor expansion of 0 in R 0.350 * [taylor]: Taking taylor expansion of 0 in lambda2 0.350 * [taylor]: Taking taylor expansion of 0 in R 0.351 * [taylor]: Taking taylor expansion of 0 in lambda2 0.351 * [taylor]: Taking taylor expansion of 0 in R 0.351 * [taylor]: Taking taylor expansion of 0 in R 0.351 * [taylor]: Taking taylor expansion of 0 in R 0.351 * [taylor]: Taking taylor expansion of 0 in R 0.351 * [taylor]: Taking taylor expansion of 0 in R 0.354 * [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 0.354 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in R 0.354 * [taylor]: Taking taylor expansion of -1 in R 0.354 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in R 0.354 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in R 0.354 * [taylor]: Taking taylor expansion of R in R 0.354 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda2 0.354 * [taylor]: Taking taylor expansion of -1 in lambda2 0.354 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda2 0.354 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 0.354 * [taylor]: Taking taylor expansion of R in lambda2 0.355 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda1 0.355 * [taylor]: Taking taylor expansion of -1 in lambda1 0.355 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda1 0.355 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 0.355 * [taylor]: Taking taylor expansion of R in lambda1 0.355 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi2 0.355 * [taylor]: Taking taylor expansion of -1 in phi2 0.355 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi2 0.355 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 0.356 * [taylor]: Taking taylor expansion of R in phi2 0.356 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi1 0.356 * [taylor]: Taking taylor expansion of -1 in phi1 0.356 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi1 0.356 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 0.356 * [taylor]: Taking taylor expansion of R in phi1 0.357 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi1 0.357 * [taylor]: Taking taylor expansion of -1 in phi1 0.357 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi1 0.357 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 0.357 * [taylor]: Taking taylor expansion of R in phi1 0.358 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi2 0.358 * [taylor]: Taking taylor expansion of -1 in phi2 0.358 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi2 0.358 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 0.358 * [taylor]: Taking taylor expansion of R in phi2 0.358 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda1 0.358 * [taylor]: Taking taylor expansion of -1 in lambda1 0.358 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda1 0.358 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 0.359 * [taylor]: Taking taylor expansion of R in lambda1 0.359 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda2 0.359 * [taylor]: Taking taylor expansion of -1 in lambda2 0.359 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda2 0.359 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 0.360 * [taylor]: Taking taylor expansion of R in lambda2 0.360 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in R 0.360 * [taylor]: Taking taylor expansion of -1 in R 0.360 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in R 0.360 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in R 0.361 * [taylor]: Taking taylor expansion of R in R 0.362 * [taylor]: Taking taylor expansion of 0 in phi2 0.362 * [taylor]: Taking taylor expansion of 0 in lambda1 0.362 * [taylor]: Taking taylor expansion of 0 in lambda2 0.362 * [taylor]: Taking taylor expansion of 0 in R 0.363 * [taylor]: Taking taylor expansion of 0 in lambda1 0.363 * [taylor]: Taking taylor expansion of 0 in lambda2 0.363 * [taylor]: Taking taylor expansion of 0 in R 0.364 * [taylor]: Taking taylor expansion of 0 in lambda2 0.364 * [taylor]: Taking taylor expansion of 0 in R 0.365 * [taylor]: Taking taylor expansion of 0 in R 0.368 * [taylor]: Taking taylor expansion of 0 in phi2 0.368 * [taylor]: Taking taylor expansion of 0 in lambda1 0.368 * [taylor]: Taking taylor expansion of 0 in lambda2 0.368 * [taylor]: Taking taylor expansion of 0 in R 0.368 * [taylor]: Taking taylor expansion of 0 in lambda1 0.368 * [taylor]: Taking taylor expansion of 0 in lambda2 0.368 * [taylor]: Taking taylor expansion of 0 in R 0.369 * [taylor]: Taking taylor expansion of 0 in lambda1 0.369 * [taylor]: Taking taylor expansion of 0 in lambda2 0.369 * [taylor]: Taking taylor expansion of 0 in R 0.369 * [taylor]: Taking taylor expansion of 0 in lambda2 0.369 * [taylor]: Taking taylor expansion of 0 in R 0.369 * [taylor]: Taking taylor expansion of 0 in lambda2 0.369 * [taylor]: Taking taylor expansion of 0 in R 0.371 * [taylor]: Taking taylor expansion of 0 in lambda2 0.371 * [taylor]: Taking taylor expansion of 0 in R 0.371 * [taylor]: Taking taylor expansion of 0 in R 0.371 * [taylor]: Taking taylor expansion of 0 in R 0.371 * [taylor]: Taking taylor expansion of 0 in R 0.372 * [taylor]: Taking taylor expansion of 0 in R 0.375 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.375 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 0.375 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 0.375 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 0.375 * [taylor]: Taking taylor expansion of phi1 in phi2 0.375 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.375 * [taylor]: Taking taylor expansion of phi2 in phi2 0.375 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.375 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.375 * [taylor]: Taking taylor expansion of phi1 in phi1 0.375 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.375 * [taylor]: Taking taylor expansion of phi2 in phi1 0.375 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.375 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.375 * [taylor]: Taking taylor expansion of phi1 in phi1 0.375 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.375 * [taylor]: Taking taylor expansion of phi2 in phi1 0.375 * [taylor]: Taking taylor expansion of 0 in phi2 0.378 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.378 * [taylor]: Taking taylor expansion of phi2 in phi2 0.380 * [taylor]: Taking taylor expansion of 0 in phi2 0.385 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 0.385 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 0.385 * [taylor]: Taking taylor expansion of 1/6 in phi2 0.385 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.385 * [taylor]: Taking taylor expansion of phi2 in phi2 0.390 * [taylor]: Taking taylor expansion of 0 in phi2 0.391 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 0.391 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.391 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.391 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.391 * [taylor]: Taking taylor expansion of phi1 in phi2 0.391 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.391 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.391 * [taylor]: Taking taylor expansion of phi2 in phi2 0.391 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.391 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.391 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.391 * [taylor]: Taking taylor expansion of phi1 in phi1 0.391 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.392 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.392 * [taylor]: Taking taylor expansion of phi2 in phi1 0.392 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.392 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.392 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.392 * [taylor]: Taking taylor expansion of phi1 in phi1 0.392 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.392 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.392 * [taylor]: Taking taylor expansion of phi2 in phi1 0.392 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.392 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.392 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.392 * [taylor]: Taking taylor expansion of phi1 in phi2 0.392 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.392 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.392 * [taylor]: Taking taylor expansion of phi2 in phi2 0.395 * [taylor]: Taking taylor expansion of 0 in phi2 0.399 * [taylor]: Taking taylor expansion of 0 in phi2 0.404 * [taylor]: Taking taylor expansion of 0 in phi2 0.404 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 0.404 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.404 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.404 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.404 * [taylor]: Taking taylor expansion of -1 in phi2 0.404 * [taylor]: Taking taylor expansion of phi1 in phi2 0.404 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.404 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.404 * [taylor]: Taking taylor expansion of -1 in phi2 0.404 * [taylor]: Taking taylor expansion of phi2 in phi2 0.404 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.405 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.405 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.405 * [taylor]: Taking taylor expansion of -1 in phi1 0.405 * [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 -1 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 phi1 0.405 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.405 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.405 * [taylor]: Taking taylor expansion of -1 in phi1 0.405 * [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 -1 in phi1 0.405 * [taylor]: Taking taylor expansion of phi2 in phi1 0.406 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.406 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.406 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.406 * [taylor]: Taking taylor expansion of -1 in phi2 0.406 * [taylor]: Taking taylor expansion of phi1 in phi2 0.406 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.406 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.406 * [taylor]: Taking taylor expansion of -1 in phi2 0.406 * [taylor]: Taking taylor expansion of phi2 in phi2 0.408 * [taylor]: Taking taylor expansion of 0 in phi2 0.416 * [taylor]: Taking taylor expansion of 0 in phi2 0.421 * [taylor]: Taking taylor expansion of 0 in phi2 0.421 * * * [progress]: simplifying candidates 0.421 * [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)) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (- (cos (- phi1 phi2)) (cos (+ phi1 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)) 0.424 * * [simplify]: iteration 0 : 86 enodes (cost 122 ) 0.426 * * [simplify]: iteration 1 : 133 enodes (cost 122 ) 0.428 * * [simplify]: iteration 2 : 260 enodes (cost 121 ) 0.432 * * [simplify]: iteration 3 : 684 enodes (cost 120 ) 0.455 * * [simplify]: iteration 4 : 4497 enodes (cost 120 ) 0.691 * * [simplify]: iteration 5 : 5001 enodes (cost 120 ) 0.692 * [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)) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (fma lambda1 (- lambda2 (* 1/2 lambda1)) 1) (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)) 0.692 * * * [progress]: adding candidates to table 0.731 * * [progress]: iteration 2 / 4 0.731 * * * [progress]: picking best candidate 0.743 * * * * [pick]: Picked # 0.743 * * * [progress]: localizing error 0.773 * * * [progress]: generating rewritten candidates 0.773 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.775 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.777 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2 2) 0.780 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.783 * * * [progress]: generating series expansions 0.783 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.784 * [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 0.784 * [taylor]: Taking taylor 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 0.785 * [taylor]: Taking taylor 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 0.785 * [taylor]: Taking taylor 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 0.785 * [taylor]: Taking taylor 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 0.786 * [taylor]: Taking taylor 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 0.786 * [taylor]: Taking taylor 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 0.786 * [taylor]: Taking taylor 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 0.787 * [taylor]: Taking taylor 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 0.788 * [taylor]: Taking taylor expansion of 0 in phi2 0.788 * [taylor]: Taking taylor expansion of 0 in lambda1 0.788 * [taylor]: Taking taylor expansion of 0 in lambda2 0.788 * [taylor]: Taking taylor expansion of 0 in lambda1 0.788 * [taylor]: Taking taylor expansion of 0 in lambda2 0.788 * [taylor]: Taking taylor expansion of 0 in lambda2 0.788 * [taylor]: Taking taylor expansion of 0 in phi2 0.788 * [taylor]: Taking taylor expansion of 0 in lambda1 0.788 * [taylor]: Taking taylor expansion of 0 in lambda2 0.788 * [taylor]: Taking taylor expansion of 0 in lambda1 0.788 * [taylor]: Taking taylor expansion of 0 in lambda2 0.789 * [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 0.789 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 0.789 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 0.790 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 0.790 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 0.791 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 0.791 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 0.792 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.792 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.793 * [taylor]: Taking taylor expansion of 0 in phi2 0.793 * [taylor]: Taking taylor expansion of 0 in lambda1 0.793 * [taylor]: Taking taylor expansion of 0 in lambda2 0.793 * [taylor]: Taking taylor expansion of 0 in lambda1 0.793 * [taylor]: Taking taylor expansion of 0 in lambda2 0.793 * [taylor]: Taking taylor expansion of 0 in lambda2 0.794 * [taylor]: Taking taylor expansion of 0 in phi2 0.794 * [taylor]: Taking taylor expansion of 0 in lambda1 0.794 * [taylor]: Taking taylor expansion of 0 in lambda2 0.794 * [taylor]: Taking taylor expansion of 0 in lambda1 0.794 * [taylor]: Taking taylor expansion of 0 in lambda2 0.795 * [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 0.795 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.795 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.796 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.796 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.797 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.797 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.798 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.798 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.799 * [taylor]: Taking taylor expansion of 0 in phi2 0.799 * [taylor]: Taking taylor expansion of 0 in lambda1 0.799 * [taylor]: Taking taylor expansion of 0 in lambda2 0.799 * [taylor]: Taking taylor expansion of 0 in lambda1 0.799 * [taylor]: Taking taylor expansion of 0 in lambda2 0.799 * [taylor]: Taking taylor expansion of 0 in lambda2 0.799 * [taylor]: Taking taylor expansion of 0 in phi2 0.799 * [taylor]: Taking taylor expansion of 0 in lambda1 0.799 * [taylor]: Taking taylor expansion of 0 in lambda2 0.800 * [taylor]: Taking taylor expansion of 0 in lambda1 0.800 * [taylor]: Taking taylor expansion of 0 in lambda2 0.800 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.801 * [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 0.801 * [taylor]: Taking 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 0.801 * [taylor]: Taking taylor 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 0.801 * [taylor]: Taking taylor expansion of R in R 0.801 * [taylor]: Taking 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 0.801 * [taylor]: Taking taylor 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 0.802 * [taylor]: Taking taylor expansion of R in lambda2 0.802 * [taylor]: Taking 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 0.802 * [taylor]: Taking taylor 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 0.802 * [taylor]: Taking taylor expansion of R in lambda1 0.802 * [taylor]: Taking 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 0.802 * [taylor]: Taking taylor 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 0.802 * [taylor]: Taking taylor expansion of R in phi2 0.802 * [taylor]: Taking 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 0.802 * [taylor]: Taking taylor 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 0.803 * [taylor]: Taking taylor expansion of R in phi1 0.803 * [taylor]: Taking 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 0.803 * [taylor]: Taking taylor 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 0.803 * [taylor]: Taking taylor expansion of R in phi1 0.804 * [taylor]: Taking 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 0.804 * [taylor]: Taking taylor 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 0.804 * [taylor]: Taking taylor expansion of R in phi2 0.804 * [taylor]: Taking 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 0.804 * [taylor]: Taking taylor 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 0.805 * [taylor]: Taking taylor expansion of R in lambda1 0.805 * [taylor]: Taking 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 0.805 * [taylor]: Taking taylor 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 0.806 * [taylor]: Taking taylor expansion of R in lambda2 0.806 * [taylor]: Taking 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 0.806 * [taylor]: Taking taylor 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 0.806 * [taylor]: Taking taylor expansion of R in R 0.807 * [taylor]: Taking taylor expansion of 0 in phi2 0.807 * [taylor]: Taking taylor expansion of 0 in lambda1 0.807 * [taylor]: Taking taylor expansion of 0 in lambda2 0.807 * [taylor]: Taking taylor expansion of 0 in R 0.808 * [taylor]: Taking taylor expansion of 0 in lambda1 0.808 * [taylor]: Taking taylor expansion of 0 in lambda2 0.808 * [taylor]: Taking taylor expansion of 0 in R 0.808 * [taylor]: Taking taylor expansion of 0 in lambda2 0.808 * [taylor]: Taking taylor expansion of 0 in R 0.809 * [taylor]: Taking taylor expansion of 0 in R 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 R 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 R 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 R 0.811 * [taylor]: Taking taylor expansion of 0 in lambda2 0.811 * [taylor]: Taking taylor expansion of 0 in R 0.811 * [taylor]: Taking taylor expansion of 0 in lambda2 0.812 * [taylor]: Taking taylor expansion of 0 in R 0.812 * [taylor]: Taking taylor expansion of 0 in lambda2 0.812 * [taylor]: Taking taylor expansion of 0 in R 0.813 * [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 0.814 * [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)))))))) R) in R 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 R 0.814 * [taylor]: Taking taylor expansion of R in R 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)))))))) R) in lambda2 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 0.815 * [taylor]: Taking taylor expansion of R in lambda2 0.816 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 0.816 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.816 * [taylor]: Taking taylor expansion of R in lambda1 0.817 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 0.817 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.817 * [taylor]: Taking taylor expansion of R in phi2 0.818 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 0.818 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.818 * [taylor]: Taking taylor expansion of R in phi1 0.819 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 0.819 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.819 * [taylor]: Taking taylor expansion of R in phi1 0.820 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 0.820 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.820 * [taylor]: Taking taylor expansion of R in phi2 0.821 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 0.821 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.821 * [taylor]: Taking taylor expansion of R in lambda1 0.822 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 0.822 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.822 * [taylor]: Taking taylor expansion of R in lambda2 0.823 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 0.823 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.823 * [taylor]: Taking taylor expansion of R in R 0.825 * [taylor]: Taking taylor expansion of 0 in phi2 0.825 * [taylor]: Taking taylor expansion of 0 in lambda1 0.825 * [taylor]: Taking taylor expansion of 0 in lambda2 0.825 * [taylor]: Taking taylor expansion of 0 in R 0.826 * [taylor]: Taking taylor expansion of 0 in lambda1 0.826 * [taylor]: Taking taylor expansion of 0 in lambda2 0.826 * [taylor]: Taking taylor expansion of 0 in R 0.826 * [taylor]: Taking taylor expansion of 0 in lambda2 0.826 * [taylor]: Taking taylor expansion of 0 in R 0.827 * [taylor]: Taking taylor expansion of 0 in R 0.829 * [taylor]: Taking taylor expansion of 0 in phi2 0.829 * [taylor]: Taking taylor expansion of 0 in lambda1 0.829 * [taylor]: Taking taylor expansion of 0 in lambda2 0.829 * [taylor]: Taking taylor expansion of 0 in R 0.829 * [taylor]: Taking taylor expansion of 0 in lambda1 0.829 * [taylor]: Taking taylor expansion of 0 in lambda2 0.829 * [taylor]: Taking taylor expansion of 0 in R 0.830 * [taylor]: Taking taylor expansion of 0 in lambda1 0.830 * [taylor]: Taking taylor expansion of 0 in lambda2 0.830 * [taylor]: Taking taylor expansion of 0 in R 0.830 * [taylor]: Taking taylor expansion of 0 in lambda2 0.830 * [taylor]: Taking taylor expansion of 0 in R 0.830 * [taylor]: Taking taylor expansion of 0 in lambda2 0.830 * [taylor]: Taking taylor expansion of 0 in R 0.833 * [taylor]: Taking taylor expansion of 0 in lambda2 0.833 * [taylor]: Taking taylor expansion of 0 in R 0.833 * [taylor]: Taking taylor expansion of 0 in R 0.833 * [taylor]: Taking taylor expansion of 0 in R 0.833 * [taylor]: Taking taylor expansion of 0 in R 0.834 * [taylor]: Taking taylor expansion of 0 in R 0.837 * [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 0.837 * [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 0.837 * [taylor]: Taking taylor expansion of -1 in R 0.837 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 0.837 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.838 * [taylor]: Taking taylor expansion of R in R 0.838 * [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 0.838 * [taylor]: Taking taylor expansion of -1 in lambda2 0.838 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 0.838 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.839 * [taylor]: Taking taylor expansion of R in lambda2 0.839 * [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 0.839 * [taylor]: Taking taylor expansion of -1 in lambda1 0.839 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 0.839 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.840 * [taylor]: Taking taylor expansion of R in lambda1 0.840 * [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 0.840 * [taylor]: Taking taylor expansion of -1 in phi2 0.840 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 0.840 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.841 * [taylor]: Taking taylor expansion of R in phi2 0.841 * [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 0.841 * [taylor]: Taking taylor expansion of -1 in phi1 0.841 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 0.841 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.842 * [taylor]: Taking taylor expansion of R in phi1 0.843 * [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 0.843 * [taylor]: Taking taylor expansion of -1 in phi1 0.843 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 0.843 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.843 * [taylor]: Taking taylor expansion of R in phi1 0.844 * [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 0.844 * [taylor]: Taking taylor expansion of -1 in phi2 0.844 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 0.844 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.845 * [taylor]: Taking taylor expansion of R in phi2 0.846 * [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 0.846 * [taylor]: Taking taylor expansion of -1 in lambda1 0.846 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 0.846 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.846 * [taylor]: Taking taylor expansion of R in lambda1 0.848 * [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 0.848 * [taylor]: Taking taylor expansion of -1 in lambda2 0.848 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 0.848 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.848 * [taylor]: Taking taylor expansion of R in lambda2 0.849 * [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 0.849 * [taylor]: Taking taylor expansion of -1 in R 0.849 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 0.849 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.850 * [taylor]: Taking taylor expansion of R in R 0.853 * [taylor]: Taking taylor expansion of 0 in phi2 0.853 * [taylor]: Taking taylor expansion of 0 in lambda1 0.853 * [taylor]: Taking taylor expansion of 0 in lambda2 0.853 * [taylor]: Taking taylor expansion of 0 in R 0.854 * [taylor]: Taking taylor expansion of 0 in lambda1 0.854 * [taylor]: Taking taylor expansion of 0 in lambda2 0.855 * [taylor]: Taking taylor expansion of 0 in R 0.856 * [taylor]: Taking taylor expansion of 0 in lambda2 0.856 * [taylor]: Taking taylor expansion of 0 in R 0.857 * [taylor]: Taking taylor expansion of 0 in R 0.861 * [taylor]: Taking taylor expansion of 0 in phi2 0.861 * [taylor]: Taking taylor expansion of 0 in lambda1 0.861 * [taylor]: Taking taylor expansion of 0 in lambda2 0.861 * [taylor]: Taking taylor expansion of 0 in R 0.861 * [taylor]: Taking taylor expansion of 0 in lambda1 0.861 * [taylor]: Taking taylor expansion of 0 in lambda2 0.861 * [taylor]: Taking taylor expansion of 0 in R 0.863 * [taylor]: Taking taylor expansion of 0 in lambda1 0.863 * [taylor]: Taking taylor expansion of 0 in lambda2 0.863 * [taylor]: Taking taylor expansion of 0 in R 0.863 * [taylor]: Taking taylor expansion of 0 in lambda2 0.863 * [taylor]: Taking taylor expansion of 0 in R 0.863 * [taylor]: Taking taylor expansion of 0 in lambda2 0.863 * [taylor]: Taking taylor expansion of 0 in R 0.865 * [taylor]: Taking taylor expansion of 0 in lambda2 0.865 * [taylor]: Taking taylor expansion of 0 in R 0.865 * [taylor]: Taking taylor expansion of 0 in R 0.865 * [taylor]: Taking taylor expansion of 0 in R 0.865 * [taylor]: Taking taylor expansion of 0 in R 0.867 * [taylor]: Taking taylor expansion of 0 in R 0.870 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2 2) 0.870 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 0.870 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 0.870 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 0.870 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.870 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 0.870 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.870 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 0.870 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 0.870 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.871 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 0.871 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.871 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 0.871 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 0.871 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.871 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 0.871 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.871 * [taylor]: Taking taylor expansion of 0 in lambda2 0.873 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 0.873 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.876 * [taylor]: Taking taylor expansion of 0 in lambda2 0.880 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2 0.880 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 0.880 * [taylor]: Taking taylor expansion of 1/6 in lambda2 0.880 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 0.880 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.886 * [taylor]: Taking taylor expansion of 0 in lambda2 0.886 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 0.886 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 0.886 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 0.886 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.886 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.886 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 0.886 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.886 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.887 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 0.887 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 0.887 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.887 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.887 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 0.887 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.887 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.887 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 0.887 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 0.887 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.887 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.887 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 0.887 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.887 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.888 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 0.888 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 0.888 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.888 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.888 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 0.888 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.888 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.890 * [taylor]: Taking taylor expansion of 0 in lambda2 0.894 * [taylor]: Taking taylor expansion of 0 in lambda2 0.899 * [taylor]: Taking taylor expansion of 0 in lambda2 0.899 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 0.899 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 0.899 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 0.899 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 0.899 * [taylor]: Taking taylor expansion of -1 in lambda2 0.899 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.900 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 0.900 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 0.900 * [taylor]: Taking taylor expansion of -1 in lambda2 0.900 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.900 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 0.900 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 0.900 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 0.900 * [taylor]: Taking taylor expansion of -1 in lambda1 0.900 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.900 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 0.900 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 0.900 * [taylor]: Taking taylor expansion of -1 in lambda1 0.900 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.900 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 0.900 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 0.900 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 0.900 * [taylor]: Taking taylor expansion of -1 in lambda1 0.901 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.901 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 0.901 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 0.901 * [taylor]: Taking taylor expansion of -1 in lambda1 0.901 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.901 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 0.901 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 0.901 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 0.901 * [taylor]: Taking taylor expansion of -1 in lambda2 0.901 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.901 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 0.901 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 0.901 * [taylor]: Taking taylor expansion of -1 in lambda2 0.901 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.903 * [taylor]: Taking taylor expansion of 0 in lambda2 0.907 * [taylor]: Taking taylor expansion of 0 in lambda2 0.916 * [taylor]: Taking taylor expansion of 0 in lambda2 0.916 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.916 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 0.916 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 0.916 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 0.916 * [taylor]: Taking taylor expansion of phi1 in phi2 0.916 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.916 * [taylor]: Taking taylor expansion of phi2 in phi2 0.916 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.916 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.916 * [taylor]: Taking taylor expansion of phi1 in phi1 0.916 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.916 * [taylor]: Taking taylor expansion of phi2 in phi1 0.916 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.916 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.916 * [taylor]: Taking taylor expansion of phi1 in phi1 0.916 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.916 * [taylor]: Taking taylor expansion of phi2 in phi1 0.917 * [taylor]: Taking taylor expansion of 0 in phi2 0.919 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.919 * [taylor]: Taking taylor expansion of phi2 in phi2 0.921 * [taylor]: Taking taylor expansion of 0 in phi2 0.925 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 0.925 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 0.926 * [taylor]: Taking taylor expansion of 1/6 in phi2 0.926 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.926 * [taylor]: Taking taylor expansion of phi2 in phi2 0.931 * [taylor]: Taking taylor expansion of 0 in phi2 0.931 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 0.931 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.931 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.931 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.931 * [taylor]: Taking taylor expansion of phi1 in phi2 0.931 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.931 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.931 * [taylor]: Taking taylor expansion of phi2 in phi2 0.932 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.932 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.932 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.932 * [taylor]: Taking taylor expansion of phi1 in phi1 0.932 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.932 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.932 * [taylor]: Taking taylor expansion of phi2 in phi1 0.932 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.932 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.932 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.932 * [taylor]: Taking taylor expansion of phi1 in phi1 0.932 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.933 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.933 * [taylor]: Taking taylor expansion of phi2 in phi1 0.933 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.933 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.933 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.933 * [taylor]: Taking taylor expansion of phi1 in phi2 0.933 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.933 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.933 * [taylor]: Taking taylor expansion of phi2 in phi2 0.935 * [taylor]: Taking taylor expansion of 0 in phi2 0.939 * [taylor]: Taking taylor expansion of 0 in phi2 0.944 * [taylor]: Taking taylor expansion of 0 in phi2 0.944 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 0.944 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.944 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.944 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.944 * [taylor]: Taking taylor expansion of -1 in phi2 0.944 * [taylor]: Taking taylor expansion of phi1 in phi2 0.945 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.945 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.945 * [taylor]: Taking taylor expansion of -1 in phi2 0.945 * [taylor]: Taking taylor expansion of phi2 in phi2 0.945 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.945 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.945 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.945 * [taylor]: Taking taylor expansion of -1 in phi1 0.945 * [taylor]: Taking taylor expansion of phi1 in phi1 0.945 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.945 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.945 * [taylor]: Taking taylor expansion of -1 in phi1 0.945 * [taylor]: Taking taylor expansion of phi2 in phi1 0.945 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.945 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.945 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.945 * [taylor]: Taking taylor expansion of -1 in phi1 0.945 * [taylor]: Taking taylor expansion of phi1 in phi1 0.946 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.946 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.946 * [taylor]: Taking taylor expansion of -1 in phi1 0.946 * [taylor]: Taking taylor expansion of phi2 in phi1 0.946 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.946 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.946 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.946 * [taylor]: Taking taylor expansion of -1 in phi2 0.946 * [taylor]: Taking taylor expansion of phi1 in phi2 0.946 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.946 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.946 * [taylor]: Taking taylor expansion of -1 in phi2 0.946 * [taylor]: Taking taylor expansion of phi2 in phi2 0.948 * [taylor]: Taking taylor expansion of 0 in phi2 0.952 * [taylor]: Taking taylor expansion of 0 in phi2 0.957 * [taylor]: Taking taylor expansion of 0 in phi2 0.958 * * * [progress]: simplifying candidates 0.958 * [simplify]: Simplifying using # : (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 0.961 * * [simplify]: iteration 0 : 103 enodes (cost 164 ) 0.963 * * [simplify]: iteration 1 : 215 enodes (cost 164 ) 0.967 * * [simplify]: iteration 2 : 443 enodes (cost 164 ) 0.971 * * [simplify]: iteration 3 : 500 enodes (cost 164 ) 0.975 * * [simplify]: iteration 4 : 506 enodes (cost 164 ) 0.979 * * [simplify]: iteration 5 : 506 enodes (cost 164 ) 0.980 * [simplify]: Simplified to: (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) (* (acos (+ (* (sin 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)) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 0.980 * * * [progress]: adding candidates to table 1.030 * * [progress]: iteration 3 / 4 1.030 * * * [progress]: picking best candidate 1.035 * * * * [pick]: Picked # 1.035 * * * [progress]: localizing error 1.068 * * * [progress]: generating rewritten candidates 1.068 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.072 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.074 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.078 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 2 2 2) 1.085 * * * [progress]: generating series expansions 1.085 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.086 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.086 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2 1.086 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 1.086 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.086 * [taylor]: Taking taylor expansion of PI in lambda2 1.086 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.086 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1 1.086 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 1.086 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.086 * [taylor]: Taking taylor expansion of PI in lambda1 1.086 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.087 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2 1.087 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 1.087 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.087 * [taylor]: Taking taylor expansion of PI in phi2 1.087 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.087 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1 1.087 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 1.087 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.087 * [taylor]: Taking taylor expansion of PI in phi1 1.087 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.087 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1 1.087 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 1.087 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.087 * [taylor]: Taking taylor expansion of PI in phi1 1.087 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.089 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2 1.089 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 1.089 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.089 * [taylor]: Taking taylor expansion of PI in phi2 1.089 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.091 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1 1.091 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 1.091 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.091 * [taylor]: Taking taylor expansion of PI in lambda1 1.091 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.093 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2 1.093 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 1.093 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.093 * [taylor]: Taking taylor expansion of PI in lambda2 1.093 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.096 * [taylor]: Taking taylor expansion of 0 in phi2 1.096 * [taylor]: Taking taylor expansion of 0 in lambda1 1.096 * [taylor]: Taking taylor expansion of 0 in lambda2 1.097 * [taylor]: Taking taylor expansion of 0 in lambda1 1.097 * [taylor]: Taking taylor expansion of 0 in lambda2 1.098 * [taylor]: Taking taylor expansion of 0 in lambda2 1.100 * [taylor]: Taking taylor expansion of 0 in phi2 1.100 * [taylor]: Taking taylor expansion of 0 in lambda1 1.100 * [taylor]: Taking taylor expansion of 0 in lambda2 1.100 * [taylor]: Taking taylor expansion of 0 in lambda1 1.100 * [taylor]: Taking taylor expansion of 0 in lambda2 1.102 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.102 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2 1.102 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 1.102 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.102 * [taylor]: Taking taylor expansion of PI in lambda2 1.102 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.102 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1 1.102 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 1.102 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.102 * [taylor]: Taking taylor expansion of PI in lambda1 1.102 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.103 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2 1.103 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 1.103 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.103 * [taylor]: Taking taylor expansion of PI in phi2 1.103 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.103 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1 1.103 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 1.103 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.103 * [taylor]: Taking taylor expansion of PI in phi1 1.103 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.104 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1 1.104 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 1.104 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.104 * [taylor]: Taking taylor expansion of PI in phi1 1.104 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.106 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2 1.106 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 1.106 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.106 * [taylor]: Taking taylor expansion of PI in phi2 1.106 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.108 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1 1.108 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 1.108 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.108 * [taylor]: Taking taylor expansion of PI in lambda1 1.108 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.110 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2 1.110 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 1.110 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.110 * [taylor]: Taking taylor expansion of PI in lambda2 1.110 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.114 * [taylor]: Taking taylor expansion of 0 in phi2 1.114 * [taylor]: Taking taylor expansion of 0 in lambda1 1.114 * [taylor]: Taking taylor expansion of 0 in lambda2 1.115 * [taylor]: Taking taylor expansion of 0 in lambda1 1.115 * [taylor]: Taking taylor expansion of 0 in lambda2 1.116 * [taylor]: Taking taylor expansion of 0 in lambda2 1.118 * [taylor]: Taking taylor expansion of 0 in phi2 1.118 * [taylor]: Taking taylor expansion of 0 in lambda1 1.118 * [taylor]: Taking taylor expansion of 0 in lambda2 1.118 * [taylor]: Taking taylor expansion of 0 in lambda1 1.118 * [taylor]: Taking taylor expansion of 0 in lambda2 1.120 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.120 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2 1.120 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 1.120 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.120 * [taylor]: Taking taylor expansion of PI in lambda2 1.120 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.120 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda1 1.120 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 1.120 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.120 * [taylor]: Taking taylor expansion of PI in lambda1 1.120 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.121 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2 1.121 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 1.121 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.121 * [taylor]: Taking taylor expansion of PI in phi2 1.121 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.121 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi1 1.121 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 1.121 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.121 * [taylor]: Taking taylor expansion of PI in phi1 1.121 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.122 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi1 1.122 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 1.122 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.122 * [taylor]: Taking taylor expansion of PI in phi1 1.122 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.124 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2 1.124 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 1.124 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.124 * [taylor]: Taking taylor expansion of PI in phi2 1.124 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.126 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda1 1.126 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 1.126 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.126 * [taylor]: Taking taylor expansion of PI in lambda1 1.126 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.128 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2 1.129 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 1.129 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.129 * [taylor]: Taking taylor expansion of PI in lambda2 1.129 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.132 * [taylor]: Taking taylor expansion of 0 in phi2 1.132 * [taylor]: Taking taylor expansion of 0 in lambda1 1.132 * [taylor]: Taking taylor expansion of 0 in lambda2 1.133 * [taylor]: Taking taylor expansion of 0 in lambda1 1.133 * [taylor]: Taking taylor expansion of 0 in lambda2 1.134 * [taylor]: Taking taylor expansion of 0 in lambda2 1.136 * [taylor]: Taking taylor expansion of 0 in phi2 1.136 * [taylor]: Taking taylor expansion of 0 in lambda1 1.136 * [taylor]: Taking taylor expansion of 0 in lambda2 1.136 * [taylor]: Taking taylor expansion of 0 in lambda1 1.136 * [taylor]: Taking taylor expansion of 0 in lambda2 1.137 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.137 * [approximate]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.137 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.138 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.138 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.139 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.139 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.139 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.140 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.140 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.141 * [taylor]: Taking taylor expansion of 0 in phi2 1.141 * [taylor]: Taking taylor expansion of 0 in lambda1 1.141 * [taylor]: Taking taylor expansion of 0 in lambda2 1.141 * [taylor]: Taking taylor expansion of 0 in lambda1 1.141 * [taylor]: Taking taylor expansion of 0 in lambda2 1.141 * [taylor]: Taking taylor expansion of 0 in lambda2 1.141 * [taylor]: Taking taylor expansion of 0 in phi2 1.141 * [taylor]: Taking taylor expansion of 0 in lambda1 1.141 * [taylor]: Taking taylor expansion of 0 in lambda2 1.141 * [taylor]: Taking taylor expansion of 0 in lambda1 1.141 * [taylor]: Taking taylor expansion of 0 in lambda2 1.142 * [approximate]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.142 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.142 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.143 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.143 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.144 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.145 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.145 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.145 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.147 * [taylor]: Taking taylor expansion of 0 in phi2 1.147 * [taylor]: Taking taylor expansion of 0 in lambda1 1.147 * [taylor]: Taking taylor expansion of 0 in lambda2 1.147 * [taylor]: Taking taylor expansion of 0 in lambda1 1.147 * [taylor]: Taking taylor expansion of 0 in lambda2 1.147 * [taylor]: Taking taylor expansion of 0 in lambda2 1.147 * [taylor]: Taking taylor expansion of 0 in phi2 1.147 * [taylor]: Taking taylor expansion of 0 in lambda1 1.147 * [taylor]: Taking taylor expansion of 0 in lambda2 1.147 * [taylor]: Taking taylor expansion of 0 in lambda1 1.147 * [taylor]: Taking taylor expansion of 0 in lambda2 1.148 * [approximate]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 1.148 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.148 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.149 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.149 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.150 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.150 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.151 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.151 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.152 * [taylor]: Taking taylor expansion of 0 in phi2 1.152 * [taylor]: Taking taylor expansion of 0 in lambda1 1.152 * [taylor]: Taking taylor expansion of 0 in lambda2 1.152 * [taylor]: Taking taylor expansion of 0 in lambda1 1.152 * [taylor]: Taking taylor expansion of 0 in lambda2 1.153 * [taylor]: Taking taylor expansion of 0 in lambda2 1.153 * [taylor]: Taking taylor expansion of 0 in phi2 1.153 * [taylor]: Taking taylor expansion of 0 in lambda1 1.153 * [taylor]: Taking taylor expansion of 0 in lambda2 1.153 * [taylor]: Taking taylor expansion of 0 in lambda1 1.153 * [taylor]: Taking taylor expansion of 0 in lambda2 1.153 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.154 * [approximate]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 1.154 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) R) in R 1.154 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in R 1.154 * [taylor]: Taking taylor expansion of (* 1/2 PI) in R 1.154 * [taylor]: Taking taylor expansion of 1/2 in R 1.154 * [taylor]: Taking taylor expansion of PI in R 1.154 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 1.155 * [taylor]: Taking taylor expansion of R in R 1.155 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) R) in lambda2 1.155 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2 1.155 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 1.155 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.155 * [taylor]: Taking taylor expansion of PI in lambda2 1.155 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.155 * [taylor]: Taking taylor expansion of R in lambda2 1.155 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) R) in lambda1 1.155 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1 1.155 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 1.155 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.155 * [taylor]: Taking taylor expansion of PI in lambda1 1.155 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.156 * [taylor]: Taking taylor expansion of R in lambda1 1.156 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) R) in phi2 1.156 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2 1.156 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 1.156 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.156 * [taylor]: Taking taylor expansion of PI in phi2 1.156 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.156 * [taylor]: Taking taylor expansion of R in phi2 1.156 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) R) in phi1 1.156 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1 1.156 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 1.156 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.156 * [taylor]: Taking taylor expansion of PI in phi1 1.156 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.157 * [taylor]: Taking taylor expansion of R in phi1 1.157 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) R) in phi1 1.157 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1 1.157 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 1.157 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.157 * [taylor]: Taking taylor expansion of PI in phi1 1.157 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.157 * [taylor]: Taking taylor expansion of R in phi1 1.159 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) R) in phi2 1.159 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2 1.159 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 1.159 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.159 * [taylor]: Taking taylor expansion of PI in phi2 1.159 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.160 * [taylor]: Taking taylor expansion of R in phi2 1.165 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) R) in lambda1 1.165 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1 1.165 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 1.165 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.165 * [taylor]: Taking taylor expansion of PI in lambda1 1.165 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.165 * [taylor]: Taking taylor expansion of R in lambda1 1.167 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) R) in lambda2 1.167 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2 1.167 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 1.167 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.167 * [taylor]: Taking taylor expansion of PI in lambda2 1.167 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.168 * [taylor]: Taking taylor expansion of R in lambda2 1.170 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) R) in R 1.170 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in R 1.170 * [taylor]: Taking taylor expansion of (* 1/2 PI) in R 1.170 * [taylor]: Taking taylor expansion of 1/2 in R 1.170 * [taylor]: Taking taylor expansion of PI in R 1.170 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 1.170 * [taylor]: Taking taylor expansion of R in R 1.174 * [taylor]: Taking taylor expansion of 0 in phi2 1.174 * [taylor]: Taking taylor expansion of 0 in lambda1 1.174 * [taylor]: Taking taylor expansion of 0 in lambda2 1.174 * [taylor]: Taking taylor expansion of 0 in R 1.176 * [taylor]: Taking taylor expansion of 0 in lambda1 1.176 * [taylor]: Taking taylor expansion of 0 in lambda2 1.176 * [taylor]: Taking taylor expansion of 0 in R 1.177 * [taylor]: Taking taylor expansion of 0 in lambda2 1.177 * [taylor]: Taking taylor expansion of 0 in R 1.179 * [taylor]: Taking taylor expansion of 0 in R 1.183 * [taylor]: Taking taylor expansion of 0 in phi2 1.183 * [taylor]: Taking taylor expansion of 0 in lambda1 1.183 * [taylor]: Taking taylor expansion of 0 in lambda2 1.183 * [taylor]: Taking taylor expansion of 0 in R 1.183 * [taylor]: Taking taylor expansion of 0 in lambda1 1.183 * [taylor]: Taking taylor expansion of 0 in lambda2 1.183 * [taylor]: Taking taylor expansion of 0 in R 1.185 * [taylor]: Taking taylor expansion of 0 in lambda1 1.185 * [taylor]: Taking taylor expansion of 0 in lambda2 1.185 * [taylor]: Taking taylor expansion of 0 in R 1.185 * [taylor]: Taking taylor expansion of 0 in lambda2 1.185 * [taylor]: Taking taylor expansion of 0 in R 1.185 * [taylor]: Taking taylor expansion of 0 in lambda2 1.185 * [taylor]: Taking taylor expansion of 0 in R 1.187 * [taylor]: Taking taylor expansion of 0 in lambda2 1.187 * [taylor]: Taking taylor expansion of 0 in R 1.189 * [approximate]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 1.189 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) R) in R 1.189 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in R 1.189 * [taylor]: Taking taylor expansion of (* 1/2 PI) in R 1.189 * [taylor]: Taking taylor expansion of 1/2 in R 1.189 * [taylor]: Taking taylor expansion of PI in R 1.189 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 1.190 * [taylor]: Taking taylor expansion of R in R 1.192 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) R) in lambda2 1.192 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2 1.192 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 1.192 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.192 * [taylor]: Taking taylor expansion of PI in lambda2 1.192 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.193 * [taylor]: Taking taylor expansion of R in lambda2 1.196 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) R) in lambda1 1.196 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1 1.196 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 1.196 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.196 * [taylor]: Taking taylor expansion of PI in lambda1 1.196 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.196 * [taylor]: Taking taylor expansion of R in lambda1 1.199 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) R) in phi2 1.199 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2 1.199 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 1.199 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.199 * [taylor]: Taking taylor expansion of PI in phi2 1.199 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.199 * [taylor]: Taking taylor expansion of R in phi2 1.202 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) R) in phi1 1.202 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1 1.202 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 1.202 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.202 * [taylor]: Taking taylor expansion of PI in phi1 1.202 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.202 * [taylor]: Taking taylor expansion of R in phi1 1.205 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) R) in phi1 1.205 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1 1.205 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 1.205 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.205 * [taylor]: Taking taylor expansion of PI in phi1 1.205 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.205 * [taylor]: Taking taylor expansion of R in phi1 1.208 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) R) in phi2 1.208 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2 1.208 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 1.208 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.208 * [taylor]: Taking taylor expansion of PI in phi2 1.208 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.208 * [taylor]: Taking taylor expansion of R in phi2 1.211 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) R) in lambda1 1.211 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1 1.211 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 1.211 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.211 * [taylor]: Taking taylor expansion of PI in lambda1 1.211 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.211 * [taylor]: Taking taylor expansion of R in lambda1 1.214 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) R) in lambda2 1.214 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2 1.214 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 1.214 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.214 * [taylor]: Taking taylor expansion of PI in lambda2 1.214 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.214 * [taylor]: Taking taylor expansion of R in lambda2 1.217 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) R) in R 1.217 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in R 1.217 * [taylor]: Taking taylor expansion of (* 1/2 PI) in R 1.217 * [taylor]: Taking taylor expansion of 1/2 in R 1.217 * [taylor]: Taking taylor expansion of PI in R 1.217 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 1.217 * [taylor]: Taking taylor expansion of R in R 1.222 * [taylor]: Taking taylor expansion of 0 in phi2 1.222 * [taylor]: Taking taylor expansion of 0 in lambda1 1.223 * [taylor]: Taking taylor expansion of 0 in lambda2 1.223 * [taylor]: Taking taylor expansion of 0 in R 1.224 * [taylor]: Taking taylor expansion of 0 in lambda1 1.224 * [taylor]: Taking taylor expansion of 0 in lambda2 1.224 * [taylor]: Taking taylor expansion of 0 in R 1.226 * [taylor]: Taking taylor expansion of 0 in lambda2 1.226 * [taylor]: Taking taylor expansion of 0 in R 1.228 * [taylor]: Taking taylor expansion of 0 in R 1.232 * [taylor]: Taking taylor expansion of 0 in phi2 1.232 * [taylor]: Taking taylor expansion of 0 in lambda1 1.232 * [taylor]: Taking taylor expansion of 0 in lambda2 1.232 * [taylor]: Taking taylor expansion of 0 in R 1.232 * [taylor]: Taking taylor expansion of 0 in lambda1 1.232 * [taylor]: Taking taylor expansion of 0 in lambda2 1.232 * [taylor]: Taking taylor expansion of 0 in R 1.234 * [taylor]: Taking taylor expansion of 0 in lambda1 1.234 * [taylor]: Taking taylor expansion of 0 in lambda2 1.234 * [taylor]: Taking taylor expansion of 0 in R 1.234 * [taylor]: Taking taylor expansion of 0 in lambda2 1.234 * [taylor]: Taking taylor expansion of 0 in R 1.234 * [taylor]: Taking taylor expansion of 0 in lambda2 1.234 * [taylor]: Taking taylor expansion of 0 in R 1.236 * [taylor]: Taking taylor expansion of 0 in lambda2 1.236 * [taylor]: Taking taylor expansion of 0 in R 1.236 * [taylor]: Taking taylor expansion of 0 in R 1.236 * [taylor]: Taking taylor expansion of 0 in R 1.236 * [taylor]: Taking taylor expansion of 0 in R 1.238 * [taylor]: Taking taylor expansion of 0 in R 1.246 * [approximate]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 1.246 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R)) in R 1.246 * [taylor]: Taking taylor expansion of -1 in R 1.246 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R) in R 1.247 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in R 1.247 * [taylor]: Taking taylor expansion of (* 1/2 PI) in R 1.247 * [taylor]: Taking taylor expansion of 1/2 in R 1.247 * [taylor]: Taking taylor expansion of PI in R 1.247 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 1.247 * [taylor]: Taking taylor expansion of R in R 1.250 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R)) in lambda2 1.250 * [taylor]: Taking taylor expansion of -1 in lambda2 1.250 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R) in lambda2 1.250 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2 1.250 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 1.250 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.250 * [taylor]: Taking taylor expansion of PI in lambda2 1.250 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.250 * [taylor]: Taking taylor expansion of R in lambda2 1.253 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R)) in lambda1 1.253 * [taylor]: Taking taylor expansion of -1 in lambda1 1.253 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R) in lambda1 1.253 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda1 1.253 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 1.253 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.253 * [taylor]: Taking taylor expansion of PI in lambda1 1.253 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.253 * [taylor]: Taking taylor expansion of R in lambda1 1.256 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R)) in phi2 1.256 * [taylor]: Taking taylor expansion of -1 in phi2 1.256 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R) in phi2 1.256 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2 1.256 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 1.256 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.256 * [taylor]: Taking taylor expansion of PI in phi2 1.256 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.256 * [taylor]: Taking taylor expansion of R in phi2 1.259 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R)) in phi1 1.259 * [taylor]: Taking taylor expansion of -1 in phi1 1.259 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R) in phi1 1.259 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi1 1.259 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 1.259 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.259 * [taylor]: Taking taylor expansion of PI in phi1 1.259 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.259 * [taylor]: Taking taylor expansion of R in phi1 1.262 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R)) in phi1 1.262 * [taylor]: Taking taylor expansion of -1 in phi1 1.262 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R) in phi1 1.262 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi1 1.262 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 1.262 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.262 * [taylor]: Taking taylor expansion of PI in phi1 1.262 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.262 * [taylor]: Taking taylor expansion of R in phi1 1.266 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R)) in phi2 1.266 * [taylor]: Taking taylor expansion of -1 in phi2 1.266 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R) in phi2 1.266 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2 1.266 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 1.266 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.266 * [taylor]: Taking taylor expansion of PI in phi2 1.266 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.266 * [taylor]: Taking taylor expansion of R in phi2 1.270 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R)) in lambda1 1.270 * [taylor]: Taking taylor expansion of -1 in lambda1 1.270 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R) in lambda1 1.270 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda1 1.270 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 1.270 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.270 * [taylor]: Taking taylor expansion of PI in lambda1 1.270 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.270 * [taylor]: Taking taylor expansion of R in lambda1 1.274 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R)) in lambda2 1.274 * [taylor]: Taking taylor expansion of -1 in lambda2 1.274 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R) in lambda2 1.274 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2 1.274 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 1.274 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.274 * [taylor]: Taking taylor expansion of PI in lambda2 1.274 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.274 * [taylor]: Taking taylor expansion of R in lambda2 1.278 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R)) in R 1.278 * [taylor]: Taking taylor expansion of -1 in R 1.278 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R) in R 1.278 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in R 1.278 * [taylor]: Taking taylor expansion of (* 1/2 PI) in R 1.278 * [taylor]: Taking taylor expansion of 1/2 in R 1.278 * [taylor]: Taking taylor expansion of PI in R 1.278 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 1.278 * [taylor]: Taking taylor expansion of R in R 1.285 * [taylor]: Taking taylor expansion of 0 in phi2 1.285 * [taylor]: Taking taylor expansion of 0 in lambda1 1.285 * [taylor]: Taking taylor expansion of 0 in lambda2 1.285 * [taylor]: Taking taylor expansion of 0 in R 1.288 * [taylor]: Taking taylor expansion of 0 in lambda1 1.288 * [taylor]: Taking taylor expansion of 0 in lambda2 1.288 * [taylor]: Taking taylor expansion of 0 in R 1.291 * [taylor]: Taking taylor expansion of 0 in lambda2 1.291 * [taylor]: Taking taylor expansion of 0 in R 1.294 * [taylor]: Taking taylor expansion of 0 in R 1.301 * [taylor]: Taking taylor expansion of 0 in phi2 1.301 * [taylor]: Taking taylor expansion of 0 in lambda1 1.301 * [taylor]: Taking taylor expansion of 0 in lambda2 1.301 * [taylor]: Taking taylor expansion of 0 in R 1.301 * [taylor]: Taking taylor expansion of 0 in lambda1 1.301 * [taylor]: Taking taylor expansion of 0 in lambda2 1.301 * [taylor]: Taking taylor expansion of 0 in R 1.304 * [taylor]: Taking taylor expansion of 0 in lambda1 1.304 * [taylor]: Taking taylor expansion of 0 in lambda2 1.304 * [taylor]: Taking taylor expansion of 0 in R 1.304 * [taylor]: Taking taylor expansion of 0 in lambda2 1.304 * [taylor]: Taking taylor expansion of 0 in R 1.304 * [taylor]: Taking taylor expansion of 0 in lambda2 1.305 * [taylor]: Taking taylor expansion of 0 in R 1.308 * [taylor]: Taking taylor expansion of 0 in lambda2 1.308 * [taylor]: Taking taylor expansion of 0 in R 1.308 * [taylor]: Taking taylor expansion of 0 in R 1.308 * [taylor]: Taking taylor expansion of 0 in R 1.308 * [taylor]: Taking taylor expansion of 0 in R 1.311 * [taylor]: Taking taylor expansion of 0 in R 1.317 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 2 2 2) 1.317 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 1.317 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 1.317 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 1.317 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.317 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.317 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.317 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.317 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.317 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.317 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.317 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.317 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.317 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.317 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.317 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.317 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.317 * [taylor]: Taking taylor expansion of 0 in lambda2 1.319 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.319 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.322 * [taylor]: Taking taylor expansion of 0 in lambda2 1.329 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2 1.329 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 1.329 * [taylor]: Taking taylor expansion of 1/6 in lambda2 1.329 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.329 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.335 * [taylor]: Taking taylor expansion of 0 in lambda2 1.335 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 1.335 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.335 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.335 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.335 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.335 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.335 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.335 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.336 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.336 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.336 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.336 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.336 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.336 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.336 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.336 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.336 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.336 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.336 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.337 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.337 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.337 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.337 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.337 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.337 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.337 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.337 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.337 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.337 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.339 * [taylor]: Taking taylor expansion of 0 in lambda2 1.343 * [taylor]: Taking taylor expansion of 0 in lambda2 1.348 * [taylor]: Taking taylor expansion of 0 in lambda2 1.348 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 1.348 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.348 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.348 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.348 * [taylor]: Taking taylor expansion of -1 in lambda2 1.348 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.348 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.348 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.348 * [taylor]: Taking taylor expansion of -1 in lambda2 1.348 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.349 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.349 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.349 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.349 * [taylor]: Taking taylor expansion of -1 in lambda1 1.349 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.349 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.349 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.349 * [taylor]: Taking taylor expansion of -1 in lambda1 1.349 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.349 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.349 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.349 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.349 * [taylor]: Taking taylor expansion of -1 in lambda1 1.349 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.350 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.350 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.350 * [taylor]: Taking taylor expansion of -1 in lambda1 1.350 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.350 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.350 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.350 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.350 * [taylor]: Taking taylor expansion of -1 in lambda2 1.350 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.350 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.350 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.350 * [taylor]: Taking taylor expansion of -1 in lambda2 1.350 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.352 * [taylor]: Taking taylor expansion of 0 in lambda2 1.356 * [taylor]: Taking taylor expansion of 0 in lambda2 1.361 * [taylor]: Taking taylor expansion of 0 in lambda2 1.362 * * * [progress]: simplifying candidates 1.362 * [simplify]: Simplifying using # : (- (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (- (pow (/ PI 2) 3) (pow (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (- (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (+ (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (- (/ PI 2) (/ PI 2)) (- (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (- (pow (/ PI 2) 3) (pow (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3)) R) (* (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) (- (* 1/2 PI) (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) R) (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) R) (* (- (* 1/2 PI) (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) R) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) 1.366 * * [simplify]: iteration 0 : 152 enodes (cost 448 ) 1.369 * * [simplify]: iteration 1 : 344 enodes (cost 435 ) 1.375 * * [simplify]: iteration 2 : 807 enodes (cost 429 ) 1.383 * * [simplify]: iteration 3 : 1443 enodes (cost 426 ) 1.404 * * [simplify]: iteration 4 : 3657 enodes (cost 424 ) 1.467 * * [simplify]: iteration 5 : 5001 enodes (cost 412 ) 1.470 * [simplify]: Simplified to: (- (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (- (pow (/ PI 2) 3) (pow (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3)) (fma PI (/ PI 4) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (+ (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (/ PI 2)))) (- (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (fma PI (/ PI 4) (- (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (+ (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 0 (- (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (- (pow (/ PI 2) 3) (pow (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3)) R) (* (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (fma PI 1/2 (- (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (fma PI 1/2 (- (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (fma PI 1/2 (- (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (fma PI (* 1/2 R) (- (* R (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (fma PI (* 1/2 R) (- (* R (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (fma PI (* 1/2 R) (- (* R (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) 1.470 * * * [progress]: adding candidates to table 1.568 * * [progress]: iteration 4 / 4 1.568 * * * [progress]: picking best candidate 1.603 * * * * [pick]: Picked # 1.603 * * * [progress]: localizing error 1.642 * * * [progress]: generating rewritten candidates 1.642 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.643 * * * * [progress]: [ 2 / 4 ] rewriting at (2 3 1 2) 1.645 * * * * [progress]: [ 3 / 4 ] rewriting at (2 3 1) 1.649 * * * * [progress]: [ 4 / 4 ] rewriting at (2 3 1 2 1 2 2 2) 1.652 * * * [progress]: generating series expansions 1.652 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.653 * [approximate]: Taking taylor expansion of (fma PI (* 1/2 R) (- (* R (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))))) in (R phi1 phi2 lambda1 lambda2) around 0 1.653 * [taylor]: Taking taylor expansion of (fma PI (* 1/2 R) (- (* R (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))))) in lambda2 1.653 * [taylor]: Rewrote expression to (+ (* PI (* 1/2 R)) (- (* R (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))))) 1.653 * [taylor]: Taking taylor expansion of (* PI (* 1/2 R)) in lambda2 1.653 * [taylor]: Taking taylor expansion of PI in lambda2 1.653 * [taylor]: Taking taylor expansion of (* 1/2 R) in lambda2 1.653 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.653 * [taylor]: Taking taylor expansion of R in lambda2 1.653 * [taylor]: Taking taylor expansion of (- (* R (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))))) in lambda2 1.653 * [taylor]: Taking taylor expansion of (* R (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2 1.653 * [taylor]: Taking taylor expansion of R in lambda2 1.653 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.653 * [taylor]: Taking taylor expansion of (fma PI (* 1/2 R) (- (* R (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))))) in lambda1 1.653 * [taylor]: Rewrote expression to (+ (* PI (* 1/2 R)) (- (* R (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))))) 1.653 * [taylor]: Taking taylor expansion of (* PI (* 1/2 R)) in lambda1 1.653 * [taylor]: Taking taylor expansion of PI in lambda1 1.653 * [taylor]: Taking taylor expansion of (* 1/2 R) in lambda1 1.653 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.653 * [taylor]: Taking taylor expansion of R in lambda1 1.653 * [taylor]: Taking taylor expansion of (- (* R (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))))) in lambda1 1.653 * [taylor]: Taking taylor expansion of (* R (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1 1.653 * [taylor]: Taking taylor expansion of R in lambda1 1.653 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.654 * [taylor]: Taking taylor expansion of (fma PI (* 1/2 R) (- (* R (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))))) in phi2 1.654 * [taylor]: Rewrote expression to (+ (* PI (* 1/2 R)) (- (* R (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))))) 1.654 * [taylor]: Taking taylor expansion of (* PI (* 1/2 R)) in phi2 1.654 * [taylor]: Taking taylor expansion of PI in phi2 1.654 * [taylor]: Taking taylor expansion of (* 1/2 R) in phi2 1.654 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.654 * [taylor]: Taking taylor expansion of R in phi2 1.654 * [taylor]: Taking taylor expansion of (- (* R (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))))) in phi2 1.654 * [taylor]: Taking taylor expansion of (* R (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2 1.654 * [taylor]: Taking taylor expansion of R in phi2 1.654 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.654 * [taylor]: Taking taylor expansion of (fma PI (* 1/2 R) (- (* R (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))))) in phi1 1.655 * [taylor]: Rewrote expression to (+ (* PI (* 1/2 R)) (- (* R (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))))) 1.655 * [taylor]: Taking taylor expansion of (* PI (* 1/2 R)) in phi1 1.655 * [taylor]: Taking taylor expansion of PI in phi1 1.655 * [taylor]: Taking taylor expansion of (* 1/2 R) in phi1 1.655 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.655 * [taylor]: Taking taylor expansion of R in phi1 1.655 * [taylor]: Taking taylor expansion of (- (* R (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))))) in phi1 1.655 * [taylor]: Taking taylor expansion of (* R (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1 1.655 * [taylor]: Taking taylor expansion of R in phi1 1.655 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.655 * [taylor]: Taking taylor expansion of (fma PI (* 1/2 R) (- (* R (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))))) in R 1.655 * [taylor]: Rewrote expression to (+ (* PI (* 1/2 R)) (- (* R (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))))) 1.655 * [taylor]: Taking taylor expansion of (* PI (* 1/2 R)) in R 1.655 * [taylor]: Taking taylor expansion of PI in R 1.655 * [taylor]: Taking taylor expansion of (* 1/2 R) in R 1.655 * [taylor]: Taking taylor expansion of 1/2 in R 1.655 * [taylor]: Taking taylor expansion of R in R 1.655 * [taylor]: Taking taylor expansion of (- (* R (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))))) in R 1.655 * [taylor]: Taking taylor expansion of (* R (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in R 1.655 * [taylor]: Taking taylor expansion of R in R 1.655 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 1.656 * [taylor]: Taking taylor expansion of (fma PI (* 1/2 R) (- (* R (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))))) in R 1.656 * [taylor]: Rewrote expression to (+ (* PI (* 1/2 R)) (- (* R (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))))) 1.656 * [taylor]: Taking taylor expansion of (* PI (* 1/2 R)) in R 1.656 * [taylor]: Taking taylor expansion of PI in R 1.656 * [taylor]: Taking taylor expansion of (* 1/2 R) in R 1.656 * [taylor]: Taking taylor expansion of 1/2 in R 1.656 * [taylor]: Taking taylor expansion of R in R 1.656 * [taylor]: Taking taylor expansion of (- (* R (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))))) in R 1.656 * [taylor]: Taking taylor expansion of (* R (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in R 1.656 * [taylor]: Taking taylor expansion of R in R 1.656 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 1.658 * [taylor]: Taking taylor expansion of 0 in phi1 1.658 * [taylor]: Taking taylor expansion of 0 in phi2 1.658 * [taylor]: Taking taylor expansion of 0 in lambda1 1.658 * [taylor]: Taking taylor expansion of 0 in lambda2 1.661 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1 1.661 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 1.661 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.661 * [taylor]: Taking taylor expansion of PI in phi1 1.661 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.663 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2 1.663 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 1.663 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.663 * [taylor]: Taking taylor expansion of PI in phi2 1.663 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.665 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1 1.665 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 1.665 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.665 * [taylor]: Taking taylor expansion of PI in lambda1 1.665 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.666 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2 1.666 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 1.666 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.666 * [taylor]: Taking taylor expansion of PI in lambda2 1.666 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.669 * [taylor]: Taking taylor expansion of 0 in phi2 1.669 * [taylor]: Taking taylor expansion of 0 in lambda1 1.669 * [taylor]: Taking taylor expansion of 0 in lambda2 1.669 * [taylor]: Taking taylor expansion of 0 in lambda1 1.669 * [taylor]: Taking taylor expansion of 0 in lambda2 1.669 * [taylor]: Taking taylor expansion of 0 in lambda2 1.672 * [taylor]: Taking taylor expansion of 0 in phi1 1.672 * [taylor]: Taking taylor expansion of 0 in phi2 1.672 * [taylor]: Taking taylor expansion of 0 in lambda1 1.672 * [taylor]: Taking taylor expansion of 0 in lambda2 1.673 * [taylor]: Taking taylor expansion of 0 in phi2 1.673 * [taylor]: Taking taylor expansion of 0 in lambda1 1.673 * [taylor]: Taking taylor expansion of 0 in lambda2 1.674 * [approximate]: Taking taylor expansion of (fma PI (/ 1/2 R) (- (/ (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R))) in (R phi1 phi2 lambda1 lambda2) around 0 1.674 * [taylor]: Taking taylor expansion of (fma PI (/ 1/2 R) (- (/ (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R))) in lambda2 1.674 * [taylor]: Rewrote expression to (+ (* PI (/ 1/2 R)) (- (/ (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R))) 1.674 * [taylor]: Taking taylor expansion of (* PI (/ 1/2 R)) in lambda2 1.674 * [taylor]: Taking taylor expansion of PI in lambda2 1.674 * [taylor]: Taking taylor expansion of (/ 1/2 R) in lambda2 1.674 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.674 * [taylor]: Taking taylor expansion of R in lambda2 1.674 * [taylor]: Taking taylor expansion of (- (/ (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R)) in lambda2 1.674 * [taylor]: Taking taylor expansion of (/ (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 1.674 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.675 * [taylor]: Taking taylor expansion of R in lambda2 1.675 * [taylor]: Taking taylor expansion of (fma PI (/ 1/2 R) (- (/ (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R))) in lambda1 1.675 * [taylor]: Rewrote expression to (+ (* PI (/ 1/2 R)) (- (/ (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R))) 1.675 * [taylor]: Taking taylor expansion of (* PI (/ 1/2 R)) in lambda1 1.675 * [taylor]: Taking taylor expansion of PI in lambda1 1.676 * [taylor]: Taking taylor expansion of (/ 1/2 R) in lambda1 1.676 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.676 * [taylor]: Taking taylor expansion of R in lambda1 1.676 * [taylor]: Taking taylor expansion of (- (/ (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R)) in lambda1 1.676 * [taylor]: Taking taylor expansion of (/ (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 1.676 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.676 * [taylor]: Taking taylor expansion of R in lambda1 1.677 * [taylor]: Taking taylor expansion of (fma PI (/ 1/2 R) (- (/ (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R))) in phi2 1.677 * [taylor]: Rewrote expression to (+ (* PI (/ 1/2 R)) (- (/ (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R))) 1.677 * [taylor]: Taking taylor expansion of (* PI (/ 1/2 R)) in phi2 1.677 * [taylor]: Taking taylor expansion of PI in phi2 1.677 * [taylor]: Taking taylor expansion of (/ 1/2 R) in phi2 1.677 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.677 * [taylor]: Taking taylor expansion of R in phi2 1.677 * [taylor]: Taking taylor expansion of (- (/ (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R)) in phi2 1.677 * [taylor]: Taking taylor expansion of (/ (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 1.677 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.677 * [taylor]: Taking taylor expansion of R in phi2 1.678 * [taylor]: Taking taylor expansion of (fma PI (/ 1/2 R) (- (/ (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R))) in phi1 1.678 * [taylor]: Rewrote expression to (+ (* PI (/ 1/2 R)) (- (/ (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R))) 1.678 * [taylor]: Taking taylor expansion of (* PI (/ 1/2 R)) in phi1 1.678 * [taylor]: Taking taylor expansion of PI in phi1 1.678 * [taylor]: Taking taylor expansion of (/ 1/2 R) in phi1 1.678 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.678 * [taylor]: Taking taylor expansion of R in phi1 1.678 * [taylor]: Taking taylor expansion of (- (/ (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R)) in phi1 1.678 * [taylor]: Taking taylor expansion of (/ (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 1.678 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.679 * [taylor]: Taking taylor expansion of R in phi1 1.679 * [taylor]: Taking taylor expansion of (fma PI (/ 1/2 R) (- (/ (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R))) in R 1.679 * [taylor]: Rewrote expression to (+ (* PI (/ 1/2 R)) (- (/ (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R))) 1.679 * [taylor]: Taking taylor expansion of (* PI (/ 1/2 R)) in R 1.679 * [taylor]: Taking taylor expansion of PI in R 1.679 * [taylor]: Taking taylor expansion of (/ 1/2 R) in R 1.679 * [taylor]: Taking taylor expansion of 1/2 in R 1.679 * [taylor]: Taking taylor expansion of R in R 1.680 * [taylor]: Taking taylor expansion of (- (/ (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R)) in R 1.680 * [taylor]: Taking taylor expansion of (/ (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 1.680 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 1.680 * [taylor]: Taking taylor expansion of R in R 1.681 * [taylor]: Taking taylor expansion of (fma PI (/ 1/2 R) (- (/ (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R))) in R 1.681 * [taylor]: Rewrote expression to (+ (* PI (/ 1/2 R)) (- (/ (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R))) 1.681 * [taylor]: Taking taylor expansion of (* PI (/ 1/2 R)) in R 1.681 * [taylor]: Taking taylor expansion of PI in R 1.681 * [taylor]: Taking taylor expansion of (/ 1/2 R) in R 1.681 * [taylor]: Taking taylor expansion of 1/2 in R 1.681 * [taylor]: Taking taylor expansion of R in R 1.681 * [taylor]: Taking taylor expansion of (- (/ (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R)) in R 1.681 * [taylor]: Taking taylor expansion of (/ (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 1.681 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 1.682 * [taylor]: Taking taylor expansion of R in R 1.684 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1 1.684 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 1.684 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.684 * [taylor]: Taking taylor expansion of PI in phi1 1.684 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.686 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2 1.686 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 1.686 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.686 * [taylor]: Taking taylor expansion of PI in phi2 1.686 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.688 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1 1.688 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 1.688 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.688 * [taylor]: Taking taylor expansion of PI in lambda1 1.688 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.690 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2 1.690 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 1.690 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.690 * [taylor]: Taking taylor expansion of PI in lambda2 1.690 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.696 * [taylor]: Taking taylor expansion of 0 in phi1 1.696 * [taylor]: Taking taylor expansion of 0 in phi2 1.696 * [taylor]: Taking taylor expansion of 0 in lambda1 1.696 * [taylor]: Taking taylor expansion of 0 in lambda2 1.696 * [taylor]: Taking taylor expansion of 0 in phi2 1.697 * [taylor]: Taking taylor expansion of 0 in lambda1 1.697 * [taylor]: Taking taylor expansion of 0 in lambda2 1.697 * [taylor]: Taking taylor expansion of 0 in lambda1 1.697 * [taylor]: Taking taylor expansion of 0 in lambda2 1.698 * [taylor]: Taking taylor expansion of 0 in lambda2 1.702 * [taylor]: Taking taylor expansion of 0 in phi1 1.702 * [taylor]: Taking taylor expansion of 0 in phi2 1.702 * [taylor]: Taking taylor expansion of 0 in lambda1 1.702 * [taylor]: Taking taylor expansion of 0 in lambda2 1.704 * [approximate]: Taking taylor expansion of (fma PI (/ -1/2 R) (/ (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in (R phi1 phi2 lambda1 lambda2) around 0 1.704 * [taylor]: Taking taylor expansion of (fma PI (/ -1/2 R) (/ (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 1.704 * [taylor]: Rewrote expression to (+ (* PI (/ -1/2 R)) (/ (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) 1.704 * [taylor]: Taking taylor expansion of (* PI (/ -1/2 R)) in lambda2 1.704 * [taylor]: Taking taylor expansion of PI in lambda2 1.704 * [taylor]: Taking taylor expansion of (/ -1/2 R) in lambda2 1.704 * [taylor]: Taking taylor expansion of -1/2 in lambda2 1.704 * [taylor]: Taking taylor expansion of R in lambda2 1.704 * [taylor]: Taking taylor expansion of (/ (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 1.704 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.704 * [taylor]: Taking taylor expansion of R in lambda2 1.705 * [taylor]: Taking taylor expansion of (fma PI (/ -1/2 R) (/ (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 1.705 * [taylor]: Rewrote expression to (+ (* PI (/ -1/2 R)) (/ (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) 1.705 * [taylor]: Taking taylor expansion of (* PI (/ -1/2 R)) in lambda1 1.705 * [taylor]: Taking taylor expansion of PI in lambda1 1.705 * [taylor]: Taking taylor expansion of (/ -1/2 R) in lambda1 1.705 * [taylor]: Taking taylor expansion of -1/2 in lambda1 1.705 * [taylor]: Taking taylor expansion of R in lambda1 1.705 * [taylor]: Taking taylor expansion of (/ (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 1.705 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.706 * [taylor]: Taking taylor expansion of R in lambda1 1.706 * [taylor]: Taking taylor expansion of (fma PI (/ -1/2 R) (/ (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 1.706 * [taylor]: Rewrote expression to (+ (* PI (/ -1/2 R)) (/ (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) 1.706 * [taylor]: Taking taylor expansion of (* PI (/ -1/2 R)) in phi2 1.706 * [taylor]: Taking taylor expansion of PI in phi2 1.706 * [taylor]: Taking taylor expansion of (/ -1/2 R) in phi2 1.706 * [taylor]: Taking taylor expansion of -1/2 in phi2 1.706 * [taylor]: Taking taylor expansion of R in phi2 1.706 * [taylor]: Taking taylor expansion of (/ (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 1.706 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.707 * [taylor]: Taking taylor expansion of R in phi2 1.707 * [taylor]: Taking taylor expansion of (fma PI (/ -1/2 R) (/ (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 1.708 * [taylor]: Rewrote expression to (+ (* PI (/ -1/2 R)) (/ (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) 1.708 * [taylor]: Taking taylor expansion of (* PI (/ -1/2 R)) in phi1 1.708 * [taylor]: Taking taylor expansion of PI in phi1 1.708 * [taylor]: Taking taylor expansion of (/ -1/2 R) in phi1 1.708 * [taylor]: Taking taylor expansion of -1/2 in phi1 1.708 * [taylor]: Taking taylor expansion of R in phi1 1.708 * [taylor]: Taking taylor expansion of (/ (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 1.708 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.708 * [taylor]: Taking taylor expansion of R in phi1 1.709 * [taylor]: Taking taylor expansion of (fma PI (/ -1/2 R) (/ (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 1.709 * [taylor]: Rewrote expression to (+ (* PI (/ -1/2 R)) (/ (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) 1.709 * [taylor]: Taking taylor expansion of (* PI (/ -1/2 R)) in R 1.709 * [taylor]: Taking taylor expansion of PI in R 1.709 * [taylor]: Taking taylor expansion of (/ -1/2 R) in R 1.709 * [taylor]: Taking taylor expansion of -1/2 in R 1.709 * [taylor]: Taking taylor expansion of R in R 1.709 * [taylor]: Taking taylor expansion of (/ (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 1.709 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 1.710 * [taylor]: Taking taylor expansion of R in R 1.710 * [taylor]: Taking taylor expansion of (fma PI (/ -1/2 R) (/ (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 1.710 * [taylor]: Rewrote expression to (+ (* PI (/ -1/2 R)) (/ (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) 1.710 * [taylor]: Taking taylor expansion of (* PI (/ -1/2 R)) in R 1.710 * [taylor]: Taking taylor expansion of PI in R 1.710 * [taylor]: Taking taylor expansion of (/ -1/2 R) in R 1.710 * [taylor]: Taking taylor expansion of -1/2 in R 1.710 * [taylor]: Taking taylor expansion of R in R 1.711 * [taylor]: Taking taylor expansion of (/ (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 1.711 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 1.711 * [taylor]: Taking taylor expansion of R in R 1.713 * [taylor]: Taking taylor expansion of (- (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) (* 1/2 PI)) in phi1 1.713 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.713 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 1.713 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.713 * [taylor]: Taking taylor expansion of PI in phi1 1.715 * [taylor]: Taking taylor expansion of (- (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) (* 1/2 PI)) in phi2 1.715 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.716 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 1.716 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.716 * [taylor]: Taking taylor expansion of PI in phi2 1.718 * [taylor]: Taking taylor expansion of (- (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) (* 1/2 PI)) in lambda1 1.718 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.719 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 1.719 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.719 * [taylor]: Taking taylor expansion of PI in lambda1 1.721 * [taylor]: Taking taylor expansion of (- (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) (* 1/2 PI)) in lambda2 1.721 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.721 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 1.721 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.721 * [taylor]: Taking taylor expansion of PI in lambda2 1.730 * [taylor]: Taking taylor expansion of 0 in phi1 1.730 * [taylor]: Taking taylor expansion of 0 in phi2 1.730 * [taylor]: Taking taylor expansion of 0 in lambda1 1.730 * [taylor]: Taking taylor expansion of 0 in lambda2 1.731 * [taylor]: Taking taylor expansion of 0 in phi2 1.731 * [taylor]: Taking taylor expansion of 0 in lambda1 1.731 * [taylor]: Taking taylor expansion of 0 in lambda2 1.732 * [taylor]: Taking taylor expansion of 0 in lambda1 1.732 * [taylor]: Taking taylor expansion of 0 in lambda2 1.733 * [taylor]: Taking taylor expansion of 0 in lambda2 1.736 * [taylor]: Taking taylor expansion of 0 in phi1 1.736 * [taylor]: Taking taylor expansion of 0 in phi2 1.736 * [taylor]: Taking taylor expansion of 0 in lambda1 1.736 * [taylor]: Taking taylor expansion of 0 in lambda2 1.737 * * * * [progress]: [ 2 / 4 ] generating series at (2 3 1 2) 1.738 * [approximate]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.738 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.738 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.738 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.739 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.739 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.740 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.740 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.740 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.741 * [taylor]: Taking taylor expansion of 0 in phi2 1.741 * [taylor]: Taking taylor expansion of 0 in lambda1 1.741 * [taylor]: Taking taylor expansion of 0 in lambda2 1.741 * [taylor]: Taking taylor expansion of 0 in lambda1 1.741 * [taylor]: Taking taylor expansion of 0 in lambda2 1.741 * [taylor]: Taking taylor expansion of 0 in lambda2 1.741 * [taylor]: Taking taylor expansion of 0 in phi2 1.741 * [taylor]: Taking taylor expansion of 0 in lambda1 1.741 * [taylor]: Taking taylor expansion of 0 in lambda2 1.741 * [taylor]: Taking taylor expansion of 0 in lambda1 1.741 * [taylor]: Taking taylor expansion of 0 in lambda2 1.742 * [approximate]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.742 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.743 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.743 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.744 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.744 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.744 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.745 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.745 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.746 * [taylor]: Taking taylor expansion of 0 in phi2 1.746 * [taylor]: Taking taylor expansion of 0 in lambda1 1.747 * [taylor]: Taking taylor expansion of 0 in lambda2 1.747 * [taylor]: Taking taylor expansion of 0 in lambda1 1.747 * [taylor]: Taking taylor expansion of 0 in lambda2 1.747 * [taylor]: Taking taylor expansion of 0 in lambda2 1.747 * [taylor]: Taking taylor expansion of 0 in phi2 1.747 * [taylor]: Taking taylor expansion of 0 in lambda1 1.747 * [taylor]: Taking taylor expansion of 0 in lambda2 1.747 * [taylor]: Taking taylor expansion of 0 in lambda1 1.747 * [taylor]: Taking taylor expansion of 0 in lambda2 1.748 * [approximate]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 1.748 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.748 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.749 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.749 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.750 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.750 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.751 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.751 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.752 * [taylor]: Taking taylor expansion of 0 in phi2 1.752 * [taylor]: Taking taylor expansion of 0 in lambda1 1.752 * [taylor]: Taking taylor expansion of 0 in lambda2 1.752 * [taylor]: Taking taylor expansion of 0 in lambda1 1.752 * [taylor]: Taking taylor expansion of 0 in lambda2 1.752 * [taylor]: Taking taylor expansion of 0 in lambda2 1.753 * [taylor]: Taking taylor expansion of 0 in phi2 1.753 * [taylor]: Taking taylor expansion of 0 in lambda1 1.753 * [taylor]: Taking taylor expansion of 0 in lambda2 1.753 * [taylor]: Taking taylor expansion of 0 in lambda1 1.753 * [taylor]: Taking taylor expansion of 0 in lambda2 1.753 * * * * [progress]: [ 3 / 4 ] generating series at (2 3 1) 1.754 * [approximate]: Taking taylor expansion of (* (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in (R phi1 phi2 lambda1 lambda2) around 0 1.754 * [taylor]: Taking taylor expansion of (* (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2 1.754 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.754 * [taylor]: Taking taylor expansion of R in lambda2 1.754 * [taylor]: Taking taylor expansion of (* (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1 1.754 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.754 * [taylor]: Taking taylor expansion of R in lambda1 1.754 * [taylor]: Taking taylor expansion of (* (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2 1.754 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.755 * [taylor]: Taking taylor expansion of R in phi2 1.755 * [taylor]: Taking taylor expansion of (* (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1 1.755 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.755 * [taylor]: Taking taylor expansion of R in phi1 1.755 * [taylor]: Taking taylor expansion of (* (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R 1.755 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 1.756 * [taylor]: Taking taylor expansion of R in R 1.756 * [taylor]: Taking taylor expansion of (* (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R 1.756 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 1.756 * [taylor]: Taking taylor expansion of R in R 1.756 * [taylor]: Taking taylor expansion of 0 in phi1 1.756 * [taylor]: Taking taylor expansion of 0 in phi2 1.756 * [taylor]: Taking taylor expansion of 0 in lambda1 1.756 * [taylor]: Taking taylor expansion of 0 in lambda2 1.757 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.758 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.758 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.758 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.759 * [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 * [taylor]: Taking taylor expansion of 0 in lambda2 1.760 * [taylor]: Taking taylor expansion of 0 in phi1 1.760 * [taylor]: Taking taylor expansion of 0 in phi2 1.760 * [taylor]: Taking taylor expansion of 0 in lambda1 1.760 * [taylor]: Taking taylor expansion of 0 in lambda2 1.760 * [taylor]: Taking taylor expansion of 0 in phi2 1.760 * [taylor]: Taking taylor expansion of 0 in lambda1 1.760 * [taylor]: Taking taylor expansion of 0 in lambda2 1.761 * [approximate]: Taking taylor expansion of (/ (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in (R phi1 phi2 lambda1 lambda2) around 0 1.761 * [taylor]: Taking taylor expansion of (/ (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 1.761 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.762 * [taylor]: Taking taylor expansion of R in lambda2 1.762 * [taylor]: Taking taylor expansion of (/ (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 1.762 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.763 * [taylor]: Taking taylor expansion of R in lambda1 1.763 * [taylor]: Taking taylor expansion of (/ (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 1.763 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.764 * [taylor]: Taking taylor expansion of R in phi2 1.764 * [taylor]: Taking taylor expansion of (/ (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 1.764 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.765 * [taylor]: Taking taylor expansion of R in phi1 1.765 * [taylor]: Taking taylor expansion of (/ (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 1.765 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 1.766 * [taylor]: Taking taylor expansion of R in R 1.766 * [taylor]: Taking taylor expansion of (/ (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 1.766 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 1.767 * [taylor]: Taking taylor expansion of R in R 1.767 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.768 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.768 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.769 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.771 * [taylor]: Taking taylor expansion of 0 in phi1 1.771 * [taylor]: Taking taylor expansion of 0 in phi2 1.771 * [taylor]: Taking taylor expansion of 0 in lambda1 1.771 * [taylor]: Taking taylor expansion of 0 in lambda2 1.771 * [taylor]: Taking taylor expansion of 0 in phi2 1.771 * [taylor]: Taking taylor expansion of 0 in lambda1 1.771 * [taylor]: Taking taylor expansion of 0 in lambda2 1.771 * [taylor]: Taking taylor expansion of 0 in lambda1 1.771 * [taylor]: Taking taylor expansion of 0 in lambda2 1.771 * [taylor]: Taking taylor expansion of 0 in lambda2 1.773 * [taylor]: Taking taylor expansion of 0 in phi1 1.773 * [taylor]: Taking taylor expansion of 0 in phi2 1.773 * [taylor]: Taking taylor expansion of 0 in lambda1 1.773 * [taylor]: Taking taylor expansion of 0 in lambda2 1.774 * [approximate]: Taking taylor expansion of (* -1 (/ (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in (R phi1 phi2 lambda1 lambda2) around 0 1.774 * [taylor]: Taking taylor expansion of (* -1 (/ (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 1.774 * [taylor]: Taking taylor expansion of -1 in lambda2 1.774 * [taylor]: Taking taylor expansion of (/ (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 1.774 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.775 * [taylor]: Taking taylor expansion of R in lambda2 1.775 * [taylor]: Taking taylor expansion of (* -1 (/ (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 1.775 * [taylor]: Taking taylor expansion of -1 in lambda1 1.775 * [taylor]: Taking taylor expansion of (/ (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 1.775 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.776 * [taylor]: Taking taylor expansion of R in lambda1 1.776 * [taylor]: Taking taylor expansion of (* -1 (/ (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 1.776 * [taylor]: Taking taylor expansion of -1 in phi2 1.776 * [taylor]: Taking taylor expansion of (/ (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 1.776 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.777 * [taylor]: Taking taylor expansion of R in phi2 1.777 * [taylor]: Taking taylor expansion of (* -1 (/ (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 1.777 * [taylor]: Taking taylor expansion of -1 in phi1 1.777 * [taylor]: Taking taylor expansion of (/ (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 1.777 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.778 * [taylor]: Taking taylor expansion of R in phi1 1.778 * [taylor]: Taking taylor expansion of (* -1 (/ (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 1.778 * [taylor]: Taking taylor expansion of -1 in R 1.778 * [taylor]: Taking taylor expansion of (/ (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 1.778 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 1.779 * [taylor]: Taking taylor expansion of R in R 1.779 * [taylor]: Taking taylor expansion of (* -1 (/ (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 1.779 * [taylor]: Taking taylor expansion of -1 in R 1.779 * [taylor]: Taking taylor expansion of (/ (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 1.779 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 1.780 * [taylor]: Taking taylor expansion of R in R 1.781 * [taylor]: Taking taylor expansion of (* -1 (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi1 1.781 * [taylor]: Taking taylor expansion of -1 in phi1 1.781 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.782 * [taylor]: Taking taylor expansion of (* -1 (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2 1.782 * [taylor]: Taking taylor expansion of -1 in phi2 1.782 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.783 * [taylor]: Taking taylor expansion of (* -1 (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda1 1.783 * [taylor]: Taking taylor expansion of -1 in lambda1 1.783 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.784 * [taylor]: Taking taylor expansion of (* -1 (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2 1.784 * [taylor]: Taking taylor expansion of -1 in lambda2 1.784 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.787 * [taylor]: Taking taylor expansion of 0 in phi1 1.787 * [taylor]: Taking taylor expansion of 0 in phi2 1.787 * [taylor]: Taking taylor expansion of 0 in lambda1 1.787 * [taylor]: Taking taylor expansion of 0 in lambda2 1.788 * [taylor]: Taking taylor expansion of 0 in phi2 1.788 * [taylor]: Taking taylor expansion of 0 in lambda1 1.788 * [taylor]: Taking taylor expansion of 0 in lambda2 1.789 * [taylor]: Taking taylor expansion of 0 in lambda1 1.789 * [taylor]: Taking taylor expansion of 0 in lambda2 1.790 * [taylor]: Taking taylor expansion of 0 in lambda2 1.793 * [taylor]: Taking taylor expansion of 0 in phi1 1.793 * [taylor]: Taking taylor expansion of 0 in phi2 1.793 * [taylor]: Taking taylor expansion of 0 in lambda1 1.793 * [taylor]: Taking taylor expansion of 0 in lambda2 1.794 * * * * [progress]: [ 4 / 4 ] generating series at (2 3 1 2 1 2 2 2) 1.794 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 1.794 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 1.794 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 1.794 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.794 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.794 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.794 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.794 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.794 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.794 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.794 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.794 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.794 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.794 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.794 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.794 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.795 * [taylor]: Taking taylor expansion of 0 in lambda2 1.797 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.797 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.799 * [taylor]: Taking taylor expansion of 0 in lambda2 1.807 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2 1.807 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 1.807 * [taylor]: Taking taylor expansion of 1/6 in lambda2 1.807 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.807 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.813 * [taylor]: Taking taylor expansion of 0 in lambda2 1.813 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 1.813 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.813 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.813 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.813 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.813 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.813 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.813 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.814 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.814 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.814 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.814 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.814 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.814 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.814 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.814 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.814 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.814 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.814 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.815 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.815 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.815 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.815 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.815 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.815 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.815 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.815 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.815 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.815 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.817 * [taylor]: Taking taylor expansion of 0 in lambda2 1.821 * [taylor]: Taking taylor expansion of 0 in lambda2 1.826 * [taylor]: Taking taylor expansion of 0 in lambda2 1.826 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 1.826 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.826 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.826 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.826 * [taylor]: Taking taylor expansion of -1 in lambda2 1.826 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.827 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.827 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.827 * [taylor]: Taking taylor expansion of -1 in lambda2 1.827 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.827 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.827 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.827 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.827 * [taylor]: Taking taylor expansion of -1 in lambda1 1.827 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.827 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.827 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.827 * [taylor]: Taking taylor expansion of -1 in lambda1 1.827 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.827 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.827 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.827 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.827 * [taylor]: Taking taylor expansion of -1 in lambda1 1.827 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.828 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.828 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.828 * [taylor]: Taking taylor expansion of -1 in lambda1 1.828 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.828 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.828 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.828 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.828 * [taylor]: Taking taylor expansion of -1 in lambda2 1.828 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.828 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.828 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.828 * [taylor]: Taking taylor expansion of -1 in lambda2 1.828 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.830 * [taylor]: Taking taylor expansion of 0 in lambda2 1.834 * [taylor]: Taking taylor expansion of 0 in lambda2 1.839 * [taylor]: Taking taylor expansion of 0 in lambda2 1.840 * * * [progress]: simplifying candidates 1.840 * [simplify]: Simplifying using # : (* PI (* 1/2 R)) (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) R) (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) R) (* -1 (* (- (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* 1/2 PI)) R)) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* R (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) (* R (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) (* R (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) 1.843 * * [simplify]: iteration 0 : 116 enodes (cost 224 ) 1.845 * * [simplify]: iteration 1 : 272 enodes (cost 224 ) 1.850 * * [simplify]: iteration 2 : 619 enodes (cost 224 ) 1.856 * * [simplify]: iteration 3 : 858 enodes (cost 223 ) 1.864 * * [simplify]: iteration 4 : 1280 enodes (cost 223 ) 1.876 * * [simplify]: iteration 5 : 2203 enodes (cost 223 ) 1.886 * * [simplify]: iteration 6 : 2431 enodes (cost 223 ) 1.899 * * [simplify]: iteration 7 : 2657 enodes (cost 223 ) 1.913 * * [simplify]: iteration 8 : 3002 enodes (cost 223 ) 1.939 * * [simplify]: iteration 9 : 5002 enodes (cost 223 ) 1.940 * [simplify]: Simplified to: (* PI (* 1/2 R)) (* 1/2 PI) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) R) (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) R) (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) R) (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* R (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (* R (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (* R (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) 1.941 * * * [progress]: adding candidates to table 1.994 * [progress]: [Phase 3 of 3] Extracting. 1.994 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 2.008 * * * [regime-changes]: Trying 5 branch expressions: (phi2 phi1 lambda2 lambda1 R) 2.008 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # #) 2.081 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # #) 2.149 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # # #) 2.220 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # #) 2.290 * * * * [regimes]: Trying to branch on R from (# # # # # # # # #) 2.360 * * * [regime]: Found split indices: #