11.106 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.259 * * * [progress]: [2/2] Setting up program. 0.263 * [progress]: [Phase 2 of 3] Improving. 0.263 * [simplify]: Simplifying using # : (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.264 * * [simplify]: iteration 0 : 17 enodes (cost 19 ) 0.266 * * [simplify]: iteration 1 : 26 enodes (cost 19 ) 0.268 * * [simplify]: iteration 2 : 33 enodes (cost 19 ) 0.272 * * [simplify]: iteration done : 33 enodes (cost 19 ) 0.272 * [simplify]: Simplified to: (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.272 * * [progress]: iteration 1 / 4 0.272 * * * [progress]: picking best candidate 0.276 * * * * [pick]: Picked # 0.276 * * * [progress]: localizing error 0.300 * * * [progress]: generating rewritten candidates 0.300 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 0.304 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.305 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.308 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.313 * * * [progress]: generating series expansions 0.313 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 0.313 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 0.313 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 0.313 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 0.313 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.313 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.314 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.314 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.314 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.314 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.314 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.314 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.314 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.314 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.315 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.315 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.315 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.317 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 0.317 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 0.317 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.317 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.321 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 0.321 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 0.321 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.321 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.321 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.321 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.323 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 0.323 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.323 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.323 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.323 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.323 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.323 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.324 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.324 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.324 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.324 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.324 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.324 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.324 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.325 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.325 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.325 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.325 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.325 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.325 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.325 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.325 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.325 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.325 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.325 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.326 * [taylor]: Taking taylor expansion of 0 in lambda2 0.326 * [taylor]: Taking taylor expansion of 0 in lambda2 0.326 * [taylor]: Taking taylor expansion of 0 in lambda2 0.326 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 0.326 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.327 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.327 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.327 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.327 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.327 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.327 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.327 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.327 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.327 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.327 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.327 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.328 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.328 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.328 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.328 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.328 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.328 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.329 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.329 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.329 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.329 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.329 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.329 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.330 * [taylor]: Taking taylor expansion of 0 in lambda2 0.330 * [taylor]: Taking taylor expansion of 0 in lambda2 0.330 * [taylor]: Taking taylor expansion of 0 in lambda2 0.330 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.330 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.330 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.331 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.331 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.331 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.331 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.331 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.335 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.335 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 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 lambda1 0.336 * [taylor]: Taking taylor expansion of 0 in lambda2 0.336 * [taylor]: Taking taylor expansion of 0 in lambda2 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 lambda1 0.336 * [taylor]: Taking taylor expansion of 0 in lambda2 0.337 * [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 0.337 * [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 0.337 * [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 0.337 * [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 0.337 * [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 0.338 * [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 0.338 * [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 0.338 * [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 0.339 * [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 0.339 * [taylor]: Taking taylor expansion of 0 in phi2 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 lambda1 0.339 * [taylor]: Taking taylor expansion of 0 in lambda2 0.339 * [taylor]: Taking taylor expansion of 0 in lambda2 0.339 * [taylor]: Taking taylor expansion of 0 in phi2 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 lambda1 0.339 * [taylor]: Taking taylor expansion of 0 in lambda2 0.340 * [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 0.340 * [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 0.340 * [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 0.341 * [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 0.341 * [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 0.341 * [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 0.341 * [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 0.342 * [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 0.342 * [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 0.343 * [taylor]: Taking taylor expansion of 0 in phi2 0.343 * [taylor]: Taking taylor expansion of 0 in lambda1 0.343 * [taylor]: Taking taylor expansion of 0 in lambda2 0.343 * [taylor]: Taking taylor expansion of 0 in lambda1 0.343 * [taylor]: Taking taylor expansion of 0 in lambda2 0.343 * [taylor]: Taking taylor expansion of 0 in lambda2 0.343 * [taylor]: Taking taylor expansion of 0 in phi2 0.343 * [taylor]: Taking taylor expansion of 0 in lambda1 0.343 * [taylor]: Taking taylor expansion of 0 in lambda2 0.343 * [taylor]: Taking taylor expansion of 0 in lambda1 0.343 * [taylor]: Taking taylor expansion of 0 in lambda2 0.343 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.344 * [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 0.344 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.344 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.344 * [taylor]: Taking taylor expansion of R in R 0.344 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.344 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.344 * [taylor]: Taking taylor expansion of R in lambda2 0.344 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.344 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.344 * [taylor]: Taking taylor expansion of R in lambda1 0.344 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.344 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.345 * [taylor]: Taking taylor expansion of R in phi2 0.345 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.345 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.345 * [taylor]: Taking taylor expansion of R in phi1 0.345 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.345 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.345 * [taylor]: Taking taylor expansion of R in phi1 0.345 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.345 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.345 * [taylor]: Taking taylor expansion of R in phi2 0.346 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.346 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.346 * [taylor]: Taking taylor expansion of R in lambda1 0.346 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.346 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.346 * [taylor]: Taking taylor expansion of R in lambda2 0.346 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.346 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.347 * [taylor]: Taking taylor expansion of R in R 0.347 * [taylor]: Taking taylor expansion of 0 in phi2 0.347 * [taylor]: Taking taylor expansion of 0 in lambda1 0.347 * [taylor]: Taking taylor expansion of 0 in lambda2 0.347 * [taylor]: Taking taylor expansion of 0 in R 0.347 * [taylor]: Taking taylor expansion of 0 in lambda1 0.347 * [taylor]: Taking taylor expansion of 0 in lambda2 0.347 * [taylor]: Taking taylor expansion of 0 in R 0.348 * [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 0.349 * [taylor]: Taking taylor expansion of 0 in phi2 0.349 * [taylor]: Taking taylor expansion of 0 in lambda1 0.349 * [taylor]: Taking taylor expansion of 0 in lambda2 0.349 * [taylor]: Taking taylor expansion of 0 in R 0.349 * [taylor]: Taking taylor expansion of 0 in lambda1 0.350 * [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 0.352 * [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 0.352 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in R 0.352 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in R 0.352 * [taylor]: Taking taylor expansion of R in R 0.352 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda2 0.352 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2 0.352 * [taylor]: Taking taylor expansion of R in lambda2 0.353 * [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 0.353 * [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 0.353 * [taylor]: Taking taylor expansion of R in lambda1 0.353 * [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 0.353 * [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 0.354 * [taylor]: Taking taylor expansion of R in phi2 0.354 * [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 0.354 * [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 0.354 * [taylor]: Taking taylor expansion of R in phi1 0.354 * [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 0.354 * [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 0.355 * [taylor]: Taking taylor expansion of R in phi1 0.355 * [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 0.355 * [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 0.355 * [taylor]: Taking taylor expansion of R in phi2 0.356 * [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 0.356 * [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 0.356 * [taylor]: Taking taylor expansion of R in lambda1 0.356 * [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 0.356 * [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 0.357 * [taylor]: Taking taylor expansion of R in lambda2 0.357 * [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 0.357 * [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 0.357 * [taylor]: Taking taylor expansion of R in R 0.358 * [taylor]: Taking taylor expansion of 0 in phi2 0.358 * [taylor]: Taking taylor expansion of 0 in lambda1 0.358 * [taylor]: Taking taylor expansion of 0 in lambda2 0.358 * [taylor]: Taking taylor expansion of 0 in R 0.358 * [taylor]: Taking taylor expansion of 0 in lambda1 0.358 * [taylor]: Taking taylor expansion of 0 in lambda2 0.359 * [taylor]: Taking taylor expansion of 0 in R 0.359 * [taylor]: Taking taylor expansion of 0 in lambda2 0.359 * [taylor]: Taking taylor expansion of 0 in R 0.359 * [taylor]: Taking taylor expansion of 0 in R 0.361 * [taylor]: Taking taylor expansion of 0 in phi2 0.361 * [taylor]: Taking taylor expansion of 0 in lambda1 0.361 * [taylor]: Taking taylor expansion of 0 in lambda2 0.361 * [taylor]: Taking taylor expansion of 0 in R 0.361 * [taylor]: Taking taylor expansion of 0 in lambda1 0.361 * [taylor]: Taking taylor expansion of 0 in lambda2 0.361 * [taylor]: Taking taylor expansion of 0 in R 0.361 * [taylor]: Taking taylor expansion of 0 in lambda1 0.361 * [taylor]: Taking taylor expansion of 0 in lambda2 0.361 * [taylor]: Taking taylor expansion of 0 in R 0.361 * [taylor]: Taking taylor expansion of 0 in lambda2 0.361 * [taylor]: Taking taylor expansion of 0 in R 0.361 * [taylor]: Taking taylor expansion of 0 in lambda2 0.361 * [taylor]: Taking taylor expansion of 0 in R 0.362 * [taylor]: Taking taylor expansion of 0 in lambda2 0.362 * [taylor]: Taking taylor expansion of 0 in R 0.362 * [taylor]: Taking taylor expansion of 0 in R 0.362 * [taylor]: Taking taylor expansion of 0 in R 0.362 * [taylor]: Taking taylor expansion of 0 in R 0.362 * [taylor]: Taking taylor expansion of 0 in R 0.365 * [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 0.365 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in R 0.365 * [taylor]: Taking taylor expansion of -1 in R 0.365 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in R 0.365 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in R 0.365 * [taylor]: Taking taylor expansion of R in R 0.365 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda2 0.366 * [taylor]: Taking taylor expansion of -1 in lambda2 0.366 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda2 0.366 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 0.366 * [taylor]: Taking taylor expansion of R in lambda2 0.366 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda1 0.366 * [taylor]: Taking taylor expansion of -1 in lambda1 0.366 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda1 0.366 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 0.366 * [taylor]: Taking taylor expansion of R in lambda1 0.367 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi2 0.367 * [taylor]: Taking taylor expansion of -1 in phi2 0.367 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi2 0.367 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 0.367 * [taylor]: Taking taylor expansion of R in phi2 0.367 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi1 0.367 * [taylor]: Taking taylor expansion of -1 in phi1 0.367 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi1 0.367 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 0.368 * [taylor]: Taking taylor expansion of R in phi1 0.368 * [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 0.368 * [taylor]: Taking taylor expansion of -1 in phi1 0.368 * [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 0.368 * [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 0.368 * [taylor]: Taking taylor expansion of R in phi1 0.369 * [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 0.369 * [taylor]: Taking taylor expansion of -1 in phi2 0.369 * [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 0.369 * [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 0.369 * [taylor]: Taking taylor expansion of R in phi2 0.370 * [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 0.370 * [taylor]: Taking taylor expansion of -1 in lambda1 0.370 * [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 0.370 * [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 0.370 * [taylor]: Taking taylor expansion of R in lambda1 0.371 * [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 0.371 * [taylor]: Taking taylor expansion of -1 in lambda2 0.371 * [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 0.371 * [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 0.371 * [taylor]: Taking taylor expansion of R in lambda2 0.371 * [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 0.371 * [taylor]: Taking taylor expansion of -1 in R 0.371 * [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 0.371 * [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 0.372 * [taylor]: Taking taylor expansion of R in R 0.374 * [taylor]: Taking taylor expansion of 0 in phi2 0.374 * [taylor]: Taking taylor expansion of 0 in lambda1 0.374 * [taylor]: Taking taylor expansion of 0 in lambda2 0.374 * [taylor]: Taking taylor expansion of 0 in R 0.375 * [taylor]: Taking taylor expansion of 0 in lambda1 0.375 * [taylor]: Taking taylor expansion of 0 in lambda2 0.375 * [taylor]: Taking taylor expansion of 0 in R 0.376 * [taylor]: Taking taylor expansion of 0 in lambda2 0.376 * [taylor]: Taking taylor expansion of 0 in R 0.377 * [taylor]: Taking taylor expansion of 0 in R 0.379 * [taylor]: Taking taylor expansion of 0 in phi2 0.379 * [taylor]: Taking taylor expansion of 0 in lambda1 0.379 * [taylor]: Taking taylor expansion of 0 in lambda2 0.379 * [taylor]: Taking taylor expansion of 0 in R 0.379 * [taylor]: Taking taylor expansion of 0 in lambda1 0.379 * [taylor]: Taking taylor expansion of 0 in lambda2 0.379 * [taylor]: Taking taylor expansion of 0 in R 0.381 * [taylor]: Taking taylor expansion of 0 in lambda1 0.381 * [taylor]: Taking taylor expansion of 0 in lambda2 0.381 * [taylor]: Taking taylor expansion of 0 in R 0.381 * [taylor]: Taking taylor expansion of 0 in lambda2 0.381 * [taylor]: Taking taylor expansion of 0 in R 0.381 * [taylor]: Taking taylor expansion of 0 in lambda2 0.381 * [taylor]: Taking taylor expansion of 0 in R 0.382 * [taylor]: Taking taylor expansion of 0 in lambda2 0.382 * [taylor]: Taking taylor expansion of 0 in R 0.382 * [taylor]: Taking taylor expansion of 0 in R 0.382 * [taylor]: Taking taylor expansion of 0 in R 0.382 * [taylor]: Taking taylor expansion of 0 in R 0.383 * [taylor]: Taking taylor expansion of 0 in R 0.386 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.386 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 0.386 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 0.386 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 0.386 * [taylor]: Taking taylor expansion of phi1 in phi2 0.386 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.386 * [taylor]: Taking taylor expansion of phi2 in phi2 0.386 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.386 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.386 * [taylor]: Taking taylor expansion of phi1 in phi1 0.386 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.386 * [taylor]: Taking taylor expansion of phi2 in phi1 0.387 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.387 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.387 * [taylor]: Taking taylor expansion of phi1 in phi1 0.387 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.387 * [taylor]: Taking taylor expansion of phi2 in phi1 0.387 * [taylor]: Taking taylor expansion of 0 in phi2 0.389 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.389 * [taylor]: Taking taylor expansion of phi2 in phi2 0.392 * [taylor]: Taking taylor expansion of 0 in phi2 0.397 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 0.397 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 0.397 * [taylor]: Taking taylor expansion of 1/6 in phi2 0.397 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.397 * [taylor]: Taking taylor expansion of phi2 in phi2 0.403 * [taylor]: Taking taylor expansion of 0 in phi2 0.403 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 0.403 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.403 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.403 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.403 * [taylor]: Taking taylor expansion of phi1 in phi2 0.403 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.403 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.403 * [taylor]: Taking taylor expansion of phi2 in phi2 0.403 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.403 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.403 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.403 * [taylor]: Taking taylor expansion of phi1 in phi1 0.404 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.404 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.404 * [taylor]: Taking taylor expansion of phi2 in phi1 0.404 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.404 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.404 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.404 * [taylor]: Taking taylor expansion of phi1 in phi1 0.404 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.404 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.404 * [taylor]: Taking taylor expansion of phi2 in phi1 0.404 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in 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 phi1 in phi2 0.405 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.405 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.405 * [taylor]: Taking taylor expansion of phi2 in phi2 0.407 * [taylor]: Taking taylor expansion of 0 in phi2 0.411 * [taylor]: Taking taylor expansion of 0 in phi2 0.416 * [taylor]: Taking taylor expansion of 0 in phi2 0.417 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 0.417 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.417 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.417 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.417 * [taylor]: Taking taylor expansion of -1 in phi2 0.417 * [taylor]: Taking taylor expansion of phi1 in phi2 0.417 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.417 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.417 * [taylor]: Taking taylor expansion of -1 in phi2 0.417 * [taylor]: Taking taylor expansion of phi2 in phi2 0.417 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.417 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.417 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.417 * [taylor]: Taking taylor expansion of -1 in phi1 0.417 * [taylor]: Taking taylor expansion of phi1 in phi1 0.418 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.418 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.418 * [taylor]: Taking taylor expansion of -1 in phi1 0.418 * [taylor]: Taking taylor expansion of phi2 in phi1 0.418 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.418 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.418 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.418 * [taylor]: Taking taylor expansion of -1 in phi1 0.418 * [taylor]: Taking taylor expansion of phi1 in phi1 0.418 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.418 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.418 * [taylor]: Taking taylor expansion of -1 in phi1 0.418 * [taylor]: Taking taylor expansion of phi2 in phi1 0.418 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.418 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.418 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.419 * [taylor]: Taking taylor expansion of -1 in phi2 0.419 * [taylor]: Taking taylor expansion of phi1 in phi2 0.419 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.419 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.419 * [taylor]: Taking taylor expansion of -1 in phi2 0.419 * [taylor]: Taking taylor expansion of phi2 in phi2 0.424 * [taylor]: Taking taylor expansion of 0 in phi2 0.428 * [taylor]: Taking taylor expansion of 0 in phi2 0.433 * [taylor]: Taking taylor expansion of 0 in phi2 0.434 * * * [progress]: simplifying candidates 0.434 * [simplify]: Simplifying using # : (* (cos lambda1) (cos (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)) (log (cos (- lambda1 lambda2))) (exp (cos (- lambda1 lambda2))) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 0.438 * * [simplify]: iteration 0 : 111 enodes (cost 1035 ) 0.452 * * [simplify]: iteration 1 : 199 enodes (cost 1027 ) 0.484 * * [simplify]: iteration 2 : 435 enodes (cost 889 ) 0.587 * * [simplify]: iteration 3 : 826 enodes (cost 887 ) 0.787 * * [simplify]: iteration 4 : 1180 enodes (cost 887 ) 1.103 * * [simplify]: iteration 5 : 2201 enodes (cost 887 ) 1.903 * * [simplify]: iteration done : 5001 enodes (cost 887 ) 1.904 * [simplify]: Simplified to: (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)) (log (cos (- lambda1 lambda2))) (exp (cos (- lambda1 lambda2))) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))) (pow (cos (- lambda1 lambda2)) 3) (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (+ (* 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)) 1.904 * * * [progress]: adding candidates to table 2.151 * * [progress]: iteration 2 / 4 2.151 * * * [progress]: picking best candidate 2.212 * * * * [pick]: Picked # 2.212 * * * [progress]: localizing error 2.250 * * * [progress]: generating rewritten candidates 2.250 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 2.251 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 2.254 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 2.258 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 2.285 * * * [progress]: generating series expansions 2.285 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 2.285 * [approximate]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.285 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 2.286 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 2.286 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 2.287 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 2.287 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 2.287 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 2.288 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 2.288 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 2.289 * [taylor]: Taking taylor expansion of 0 in phi2 2.289 * [taylor]: Taking taylor expansion of 0 in lambda1 2.289 * [taylor]: Taking taylor expansion of 0 in lambda2 2.289 * [taylor]: Taking taylor expansion of 0 in lambda1 2.289 * [taylor]: Taking taylor expansion of 0 in lambda2 2.289 * [taylor]: Taking taylor expansion of 0 in lambda2 2.289 * [taylor]: Taking taylor expansion of 0 in phi2 2.289 * [taylor]: Taking taylor expansion of 0 in lambda1 2.289 * [taylor]: Taking taylor expansion of 0 in lambda2 2.289 * [taylor]: Taking taylor expansion of 0 in lambda1 2.289 * [taylor]: Taking taylor expansion of 0 in lambda2 2.290 * [approximate]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.290 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 2.291 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 2.291 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 2.292 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 2.292 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 2.293 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 2.293 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 2.294 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 2.295 * [taylor]: Taking taylor expansion of 0 in phi2 2.295 * [taylor]: Taking taylor expansion of 0 in lambda1 2.295 * [taylor]: Taking taylor expansion of 0 in lambda2 2.295 * [taylor]: Taking taylor expansion of 0 in lambda1 2.295 * [taylor]: Taking taylor expansion of 0 in lambda2 2.295 * [taylor]: Taking taylor expansion of 0 in lambda2 2.295 * [taylor]: Taking taylor expansion of 0 in phi2 2.295 * [taylor]: Taking taylor expansion of 0 in lambda1 2.295 * [taylor]: Taking taylor expansion of 0 in lambda2 2.295 * [taylor]: Taking taylor expansion of 0 in lambda1 2.295 * [taylor]: Taking taylor expansion of 0 in lambda2 2.296 * [approximate]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.297 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.297 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.298 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.298 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.298 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.299 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.300 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.300 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.301 * [taylor]: Taking taylor expansion of 0 in phi2 2.301 * [taylor]: Taking taylor expansion of 0 in lambda1 2.301 * [taylor]: Taking taylor expansion of 0 in lambda2 2.301 * [taylor]: Taking taylor expansion of 0 in lambda1 2.301 * [taylor]: Taking taylor expansion of 0 in lambda2 2.301 * [taylor]: Taking taylor expansion of 0 in lambda2 2.301 * [taylor]: Taking taylor expansion of 0 in phi2 2.301 * [taylor]: Taking taylor expansion of 0 in lambda1 2.301 * [taylor]: Taking taylor expansion of 0 in lambda2 2.301 * [taylor]: Taking taylor expansion of 0 in lambda1 2.301 * [taylor]: Taking taylor expansion of 0 in lambda2 2.302 * * * * [progress]: [ 2 / 4 ] generating series at (2) 2.302 * [approximate]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 2.302 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in R 2.303 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in R 2.303 * [taylor]: Taking taylor expansion of R in R 2.303 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in lambda2 2.303 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 2.303 * [taylor]: Taking taylor expansion of R in lambda2 2.303 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in lambda1 2.303 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 2.304 * [taylor]: Taking taylor expansion of R in lambda1 2.304 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in phi2 2.304 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 2.304 * [taylor]: Taking taylor expansion of R in phi2 2.304 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in phi1 2.304 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 2.305 * [taylor]: Taking taylor expansion of R in phi1 2.305 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in phi1 2.305 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 2.305 * [taylor]: Taking taylor expansion of R in phi1 2.305 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in phi2 2.305 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 2.306 * [taylor]: Taking taylor expansion of R in phi2 2.306 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in lambda1 2.306 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 2.307 * [taylor]: Taking taylor expansion of R in lambda1 2.307 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in lambda2 2.307 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 2.307 * [taylor]: Taking taylor expansion of R in lambda2 2.308 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in R 2.308 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in R 2.308 * [taylor]: Taking taylor expansion of R in R 2.309 * [taylor]: Taking taylor expansion of 0 in phi2 2.309 * [taylor]: Taking taylor expansion of 0 in lambda1 2.309 * [taylor]: Taking taylor expansion of 0 in lambda2 2.309 * [taylor]: Taking taylor expansion of 0 in R 2.309 * [taylor]: Taking taylor expansion of 0 in lambda1 2.309 * [taylor]: Taking taylor expansion of 0 in lambda2 2.309 * [taylor]: Taking taylor expansion of 0 in R 2.310 * [taylor]: Taking taylor expansion of 0 in lambda2 2.310 * [taylor]: Taking taylor expansion of 0 in R 2.310 * [taylor]: Taking taylor expansion of 0 in R 2.312 * [taylor]: Taking taylor expansion of 0 in phi2 2.312 * [taylor]: Taking taylor expansion of 0 in lambda1 2.312 * [taylor]: Taking taylor expansion of 0 in lambda2 2.312 * [taylor]: Taking taylor expansion of 0 in R 2.312 * [taylor]: Taking taylor expansion of 0 in lambda1 2.312 * [taylor]: Taking taylor expansion of 0 in lambda2 2.312 * [taylor]: Taking taylor expansion of 0 in R 2.313 * [taylor]: Taking taylor expansion of 0 in lambda1 2.313 * [taylor]: Taking taylor expansion of 0 in lambda2 2.313 * [taylor]: Taking taylor expansion of 0 in R 2.313 * [taylor]: Taking taylor expansion of 0 in lambda2 2.313 * [taylor]: Taking taylor expansion of 0 in R 2.313 * [taylor]: Taking taylor expansion of 0 in lambda2 2.313 * [taylor]: Taking taylor expansion of 0 in R 2.314 * [taylor]: Taking taylor expansion of 0 in lambda2 2.314 * [taylor]: Taking taylor expansion of 0 in R 2.315 * [approximate]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 2.315 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in R 2.315 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in R 2.316 * [taylor]: Taking taylor expansion of R in R 2.316 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda2 2.316 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 2.317 * [taylor]: Taking taylor expansion of R in lambda2 2.317 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda1 2.317 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 2.318 * [taylor]: Taking taylor expansion of R in lambda1 2.318 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi2 2.318 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 2.319 * [taylor]: Taking taylor expansion of R in phi2 2.319 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi1 2.320 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 2.320 * [taylor]: Taking taylor expansion of R in phi1 2.321 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi1 2.321 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 2.321 * [taylor]: Taking taylor expansion of R in phi1 2.322 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi2 2.322 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 2.322 * [taylor]: Taking taylor expansion of R in phi2 2.323 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda1 2.323 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 2.323 * [taylor]: Taking taylor expansion of R in lambda1 2.324 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda2 2.324 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 2.324 * [taylor]: Taking taylor expansion of R in lambda2 2.325 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in R 2.325 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in R 2.325 * [taylor]: Taking taylor expansion of R in R 2.327 * [taylor]: Taking taylor expansion of 0 in phi2 2.327 * [taylor]: Taking taylor expansion of 0 in lambda1 2.327 * [taylor]: Taking taylor expansion of 0 in lambda2 2.327 * [taylor]: Taking taylor expansion of 0 in R 2.328 * [taylor]: Taking taylor expansion of 0 in lambda1 2.328 * [taylor]: Taking taylor expansion of 0 in lambda2 2.328 * [taylor]: Taking taylor expansion of 0 in R 2.329 * [taylor]: Taking taylor expansion of 0 in lambda2 2.329 * [taylor]: Taking taylor expansion of 0 in R 2.329 * [taylor]: Taking taylor expansion of 0 in R 2.331 * [taylor]: Taking taylor expansion of 0 in phi2 2.331 * [taylor]: Taking taylor expansion of 0 in lambda1 2.331 * [taylor]: Taking taylor expansion of 0 in lambda2 2.331 * [taylor]: Taking taylor expansion of 0 in R 2.331 * [taylor]: Taking taylor expansion of 0 in lambda1 2.331 * [taylor]: Taking taylor expansion of 0 in lambda2 2.331 * [taylor]: Taking taylor expansion of 0 in R 2.332 * [taylor]: Taking taylor expansion of 0 in lambda1 2.332 * [taylor]: Taking taylor expansion of 0 in lambda2 2.332 * [taylor]: Taking taylor expansion of 0 in R 2.332 * [taylor]: Taking taylor expansion of 0 in lambda2 2.332 * [taylor]: Taking taylor expansion of 0 in R 2.332 * [taylor]: Taking taylor expansion of 0 in lambda2 2.332 * [taylor]: Taking taylor expansion of 0 in R 2.333 * [taylor]: Taking taylor expansion of 0 in lambda2 2.333 * [taylor]: Taking taylor expansion of 0 in R 2.333 * [taylor]: Taking taylor expansion of 0 in R 2.333 * [taylor]: Taking taylor expansion of 0 in R 2.333 * [taylor]: Taking taylor expansion of 0 in R 2.334 * [taylor]: Taking taylor expansion of 0 in R 2.341 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 2.341 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in R 2.342 * [taylor]: Taking taylor expansion of -1 in R 2.342 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in R 2.342 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in R 2.342 * [taylor]: Taking taylor expansion of R in R 2.343 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda2 2.343 * [taylor]: Taking taylor expansion of -1 in lambda2 2.343 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda2 2.343 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.343 * [taylor]: Taking taylor expansion of R in lambda2 2.344 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda1 2.344 * [taylor]: Taking taylor expansion of -1 in lambda1 2.344 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda1 2.344 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.344 * [taylor]: Taking taylor expansion of R in lambda1 2.345 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi2 2.345 * [taylor]: Taking taylor expansion of -1 in phi2 2.345 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi2 2.345 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.345 * [taylor]: Taking taylor expansion of R in phi2 2.346 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi1 2.346 * [taylor]: Taking taylor expansion of -1 in phi1 2.346 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi1 2.346 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.346 * [taylor]: Taking taylor expansion of R in phi1 2.347 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi1 2.347 * [taylor]: Taking taylor expansion of -1 in phi1 2.347 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi1 2.347 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.348 * [taylor]: Taking taylor expansion of R in phi1 2.349 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi2 2.349 * [taylor]: Taking taylor expansion of -1 in phi2 2.349 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi2 2.349 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.349 * [taylor]: Taking taylor expansion of R in phi2 2.350 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda1 2.350 * [taylor]: Taking taylor expansion of -1 in lambda1 2.350 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda1 2.350 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.351 * [taylor]: Taking taylor expansion of R in lambda1 2.352 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda2 2.352 * [taylor]: Taking taylor expansion of -1 in lambda2 2.352 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda2 2.352 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.352 * [taylor]: Taking taylor expansion of R in lambda2 2.354 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in R 2.354 * [taylor]: Taking taylor expansion of -1 in R 2.354 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in R 2.354 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in R 2.354 * [taylor]: Taking taylor expansion of R in R 2.358 * [taylor]: Taking taylor expansion of 0 in phi2 2.358 * [taylor]: Taking taylor expansion of 0 in lambda1 2.358 * [taylor]: Taking taylor expansion of 0 in lambda2 2.358 * [taylor]: Taking taylor expansion of 0 in R 2.359 * [taylor]: Taking taylor expansion of 0 in lambda1 2.359 * [taylor]: Taking taylor expansion of 0 in lambda2 2.359 * [taylor]: Taking taylor expansion of 0 in R 2.361 * [taylor]: Taking taylor expansion of 0 in lambda2 2.361 * [taylor]: Taking taylor expansion of 0 in R 2.362 * [taylor]: Taking taylor expansion of 0 in R 2.366 * [taylor]: Taking taylor expansion of 0 in phi2 2.366 * [taylor]: Taking taylor expansion of 0 in lambda1 2.366 * [taylor]: Taking taylor expansion of 0 in lambda2 2.366 * [taylor]: Taking taylor expansion of 0 in R 2.366 * [taylor]: Taking taylor expansion of 0 in lambda1 2.366 * [taylor]: Taking taylor expansion of 0 in lambda2 2.366 * [taylor]: Taking taylor expansion of 0 in R 2.368 * [taylor]: Taking taylor expansion of 0 in lambda1 2.368 * [taylor]: Taking taylor expansion of 0 in lambda2 2.368 * [taylor]: Taking taylor expansion of 0 in R 2.368 * [taylor]: Taking taylor expansion of 0 in lambda2 2.368 * [taylor]: Taking taylor expansion of 0 in R 2.368 * [taylor]: Taking taylor expansion of 0 in lambda2 2.368 * [taylor]: Taking taylor expansion of 0 in R 2.370 * [taylor]: Taking taylor expansion of 0 in lambda2 2.370 * [taylor]: Taking taylor expansion of 0 in R 2.370 * [taylor]: Taking taylor expansion of 0 in R 2.370 * [taylor]: Taking taylor expansion of 0 in R 2.370 * [taylor]: Taking taylor expansion of 0 in R 2.372 * [taylor]: Taking taylor expansion of 0 in R 2.375 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 2.376 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 2.376 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 2.376 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 2.376 * [taylor]: Taking taylor expansion of phi1 in phi2 2.376 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.376 * [taylor]: Taking taylor expansion of phi2 in phi2 2.376 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 2.376 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 2.376 * [taylor]: Taking taylor expansion of phi1 in phi1 2.376 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 2.376 * [taylor]: Taking taylor expansion of phi2 in phi1 2.376 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 2.376 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 2.376 * [taylor]: Taking taylor expansion of phi1 in phi1 2.376 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 2.376 * [taylor]: Taking taylor expansion of phi2 in phi1 2.376 * [taylor]: Taking taylor expansion of 0 in phi2 2.378 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.378 * [taylor]: Taking taylor expansion of phi2 in phi2 2.381 * [taylor]: Taking taylor expansion of 0 in phi2 2.386 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 2.386 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 2.386 * [taylor]: Taking taylor expansion of 1/6 in phi2 2.386 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.386 * [taylor]: Taking taylor expansion of phi2 in phi2 2.391 * [taylor]: Taking taylor expansion of 0 in phi2 2.392 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 2.392 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 2.392 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 2.392 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.392 * [taylor]: Taking taylor expansion of phi1 in phi2 2.392 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 2.392 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.392 * [taylor]: Taking taylor expansion of phi2 in phi2 2.392 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 2.392 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 2.392 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.392 * [taylor]: Taking taylor expansion of phi1 in phi1 2.392 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 2.392 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.392 * [taylor]: Taking taylor expansion of phi2 in phi1 2.393 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 2.393 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 2.393 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.393 * [taylor]: Taking taylor expansion of phi1 in phi1 2.393 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 2.393 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.393 * [taylor]: Taking taylor expansion of phi2 in phi1 2.393 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 2.393 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 2.393 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.393 * [taylor]: Taking taylor expansion of phi1 in phi2 2.393 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 2.393 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.393 * [taylor]: Taking taylor expansion of phi2 in phi2 2.396 * [taylor]: Taking taylor expansion of 0 in phi2 2.400 * [taylor]: Taking taylor expansion of 0 in phi2 2.405 * [taylor]: Taking taylor expansion of 0 in phi2 2.406 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 2.406 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 2.406 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 2.406 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.406 * [taylor]: Taking taylor expansion of -1 in phi2 2.406 * [taylor]: Taking taylor expansion of phi1 in phi2 2.406 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 2.406 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.406 * [taylor]: Taking taylor expansion of -1 in phi2 2.406 * [taylor]: Taking taylor expansion of phi2 in phi2 2.406 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 2.406 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 2.406 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.406 * [taylor]: Taking taylor expansion of -1 in phi1 2.406 * [taylor]: Taking taylor expansion of phi1 in phi1 2.407 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 2.407 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.407 * [taylor]: Taking taylor expansion of -1 in phi1 2.407 * [taylor]: Taking taylor expansion of phi2 in phi1 2.407 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 2.407 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 2.407 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.407 * [taylor]: Taking taylor expansion of -1 in phi1 2.407 * [taylor]: Taking taylor expansion of phi1 in phi1 2.407 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 2.407 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.407 * [taylor]: Taking taylor expansion of -1 in phi1 2.407 * [taylor]: Taking taylor expansion of phi2 in phi1 2.407 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 2.407 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 2.407 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.407 * [taylor]: Taking taylor expansion of -1 in phi2 2.408 * [taylor]: Taking taylor expansion of phi1 in phi2 2.408 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 2.408 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.408 * [taylor]: Taking taylor expansion of -1 in phi2 2.408 * [taylor]: Taking taylor expansion of phi2 in phi2 2.410 * [taylor]: Taking taylor expansion of 0 in phi2 2.414 * [taylor]: Taking taylor expansion of 0 in phi2 2.419 * [taylor]: Taking taylor expansion of 0 in phi2 2.419 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 2.419 * [approximate]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) in (phi1 phi2 lambda1 lambda2) around 0 2.420 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) in lambda2 2.420 * [taylor]: Taking taylor expansion of (cos phi1) in lambda2 2.420 * [taylor]: Taking taylor expansion of phi1 in lambda2 2.420 * [taylor]: Taking taylor expansion of (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) in lambda2 2.420 * [taylor]: Taking taylor expansion of (cos phi2) in lambda2 2.420 * [taylor]: Taking taylor expansion of phi2 in lambda2 2.420 * [taylor]: Taking taylor expansion of (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))) in lambda2 2.420 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda2 2.420 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda2 2.420 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.420 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 2.420 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.420 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda2 2.420 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 2.420 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.420 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 2.420 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 2.420 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.420 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) in lambda1 2.420 * [taylor]: Taking taylor expansion of (cos phi1) in lambda1 2.420 * [taylor]: Taking taylor expansion of phi1 in lambda1 2.421 * [taylor]: Taking taylor expansion of (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) in lambda1 2.421 * [taylor]: Taking taylor expansion of (cos phi2) in lambda1 2.421 * [taylor]: Taking taylor expansion of phi2 in lambda1 2.421 * [taylor]: Taking taylor expansion of (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))) in lambda1 2.421 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 2.421 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 2.421 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.421 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 2.421 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.421 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 2.421 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.421 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.421 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 2.421 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 2.421 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.421 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) in phi2 2.421 * [taylor]: Taking taylor expansion of (cos phi1) in phi2 2.421 * [taylor]: Taking taylor expansion of phi1 in phi2 2.421 * [taylor]: Taking taylor expansion of (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) in phi2 2.421 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 2.421 * [taylor]: Taking taylor expansion of phi2 in phi2 2.421 * [taylor]: Taking taylor expansion of (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))) in phi2 2.421 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi2 2.421 * [taylor]: Taking taylor expansion of (cos lambda1) in phi2 2.421 * [taylor]: Taking taylor expansion of lambda1 in phi2 2.421 * [taylor]: Taking taylor expansion of (cos lambda2) in phi2 2.421 * [taylor]: Taking taylor expansion of lambda2 in phi2 2.421 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in phi2 2.421 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 2.421 * [taylor]: Taking taylor expansion of lambda1 in phi2 2.421 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in phi2 2.421 * [taylor]: Taking taylor expansion of (- lambda2) in phi2 2.421 * [taylor]: Taking taylor expansion of lambda2 in phi2 2.421 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) in phi1 2.421 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 2.421 * [taylor]: Taking taylor expansion of phi1 in phi1 2.421 * [taylor]: Taking taylor expansion of (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) in phi1 2.421 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 2.421 * [taylor]: Taking taylor expansion of phi2 in phi1 2.422 * [taylor]: Taking taylor expansion of (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))) in phi1 2.422 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi1 2.422 * [taylor]: Taking taylor expansion of (cos lambda1) in phi1 2.422 * [taylor]: Taking taylor expansion of lambda1 in phi1 2.422 * [taylor]: Taking taylor expansion of (cos lambda2) in phi1 2.422 * [taylor]: Taking taylor expansion of lambda2 in phi1 2.422 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in phi1 2.422 * [taylor]: Taking taylor expansion of (sin lambda1) in phi1 2.422 * [taylor]: Taking taylor expansion of lambda1 in phi1 2.422 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in phi1 2.422 * [taylor]: Taking taylor expansion of (- lambda2) in phi1 2.422 * [taylor]: Taking taylor expansion of lambda2 in phi1 2.422 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) in phi1 2.422 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 2.422 * [taylor]: Taking taylor expansion of phi1 in phi1 2.422 * [taylor]: Taking taylor expansion of (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) in phi1 2.422 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 2.422 * [taylor]: Taking taylor expansion of phi2 in phi1 2.425 * [taylor]: Taking taylor expansion of (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))) in phi1 2.425 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi1 2.425 * [taylor]: Taking taylor expansion of (cos lambda1) in phi1 2.425 * [taylor]: Taking taylor expansion of lambda1 in phi1 2.425 * [taylor]: Taking taylor expansion of (cos lambda2) in phi1 2.425 * [taylor]: Taking taylor expansion of lambda2 in phi1 2.425 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in phi1 2.425 * [taylor]: Taking taylor expansion of (sin lambda1) in phi1 2.425 * [taylor]: Taking taylor expansion of lambda1 in phi1 2.425 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in phi1 2.425 * [taylor]: Taking taylor expansion of (- lambda2) in phi1 2.425 * [taylor]: Taking taylor expansion of lambda2 in phi1 2.427 * [taylor]: Taking taylor expansion of (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) in phi2 2.427 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 2.427 * [taylor]: Taking taylor expansion of phi2 in phi2 2.427 * [taylor]: Taking taylor expansion of (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))) in phi2 2.427 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi2 2.428 * [taylor]: Taking taylor expansion of (cos lambda1) in phi2 2.428 * [taylor]: Taking taylor expansion of lambda1 in phi2 2.428 * [taylor]: Taking taylor expansion of (cos lambda2) in phi2 2.428 * [taylor]: Taking taylor expansion of lambda2 in phi2 2.428 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in phi2 2.428 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 2.428 * [taylor]: Taking taylor expansion of lambda1 in phi2 2.428 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in phi2 2.428 * [taylor]: Taking taylor expansion of (- lambda2) in phi2 2.428 * [taylor]: Taking taylor expansion of lambda2 in phi2 2.429 * [taylor]: Taking taylor expansion of (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))) in lambda1 2.429 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 2.429 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 2.429 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.429 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 2.429 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.429 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 2.429 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.429 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.429 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 2.429 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 2.429 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.430 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 2.430 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.439 * [taylor]: Taking taylor expansion of 0 in phi2 2.439 * [taylor]: Taking taylor expansion of 0 in lambda1 2.439 * [taylor]: Taking taylor expansion of 0 in lambda2 2.447 * [taylor]: Taking taylor expansion of 0 in lambda1 2.447 * [taylor]: Taking taylor expansion of 0 in lambda2 2.451 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 2.451 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 2.451 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 2.451 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.465 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sin lambda1) (* (cos phi2) (sin (- lambda2))))) (* 1/2 (* (cos lambda1) (* (cos phi2) (cos lambda2))))) in phi2 2.465 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (* (cos phi2) (sin (- lambda2))))) in phi2 2.465 * [taylor]: Taking taylor expansion of 1/2 in phi2 2.465 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi2) (sin (- lambda2)))) in phi2 2.465 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 2.465 * [taylor]: Taking taylor expansion of lambda1 in phi2 2.465 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin (- lambda2))) in phi2 2.465 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 2.465 * [taylor]: Taking taylor expansion of phi2 in phi2 2.465 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in phi2 2.465 * [taylor]: Taking taylor expansion of (- lambda2) in phi2 2.465 * [taylor]: Taking taylor expansion of lambda2 in phi2 2.465 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos lambda1) (* (cos phi2) (cos lambda2)))) in phi2 2.466 * [taylor]: Taking taylor expansion of 1/2 in phi2 2.466 * [taylor]: Taking taylor expansion of (* (cos lambda1) (* (cos phi2) (cos lambda2))) in phi2 2.466 * [taylor]: Taking taylor expansion of (cos lambda1) in phi2 2.466 * [taylor]: Taking taylor expansion of lambda1 in phi2 2.466 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos lambda2)) in phi2 2.466 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 2.466 * [taylor]: Taking taylor expansion of phi2 in phi2 2.466 * [taylor]: Taking taylor expansion of (cos lambda2) in phi2 2.466 * [taylor]: Taking taylor expansion of lambda2 in phi2 2.467 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sin lambda1) (sin (- lambda2)))) (* 1/2 (* (cos lambda1) (cos lambda2)))) in lambda1 2.467 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (sin (- lambda2)))) in lambda1 2.467 * [taylor]: Taking taylor expansion of 1/2 in lambda1 2.467 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 2.467 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.467 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.467 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 2.467 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 2.467 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.467 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos lambda1) (cos lambda2))) in lambda1 2.467 * [taylor]: Taking taylor expansion of 1/2 in lambda1 2.467 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 2.467 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 2.467 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.467 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 2.467 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.468 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos lambda2))) in lambda2 2.468 * [taylor]: Taking taylor expansion of (* 1/2 (cos lambda2)) in lambda2 2.468 * [taylor]: Taking taylor expansion of 1/2 in lambda2 2.468 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 2.468 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.469 * [taylor]: Taking taylor expansion of 0 in lambda1 2.469 * [taylor]: Taking taylor expansion of 0 in lambda2 2.479 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sin lambda1) (sin (- lambda2)))) (* 1/2 (* (cos lambda1) (cos lambda2)))) in lambda1 2.479 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (sin (- lambda2)))) in lambda1 2.479 * [taylor]: Taking taylor expansion of 1/2 in lambda1 2.479 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 2.479 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.479 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.479 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 2.479 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 2.479 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.479 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos lambda1) (cos lambda2))) in lambda1 2.479 * [taylor]: Taking taylor expansion of 1/2 in lambda1 2.479 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 2.479 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 2.479 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.479 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 2.479 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.480 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos lambda2))) in lambda2 2.480 * [taylor]: Taking taylor expansion of (* 1/2 (cos lambda2)) in lambda2 2.480 * [taylor]: Taking taylor expansion of 1/2 in lambda2 2.480 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 2.480 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.481 * [approximate]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.481 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))))) in lambda2 2.482 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 2.482 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 2.482 * [taylor]: Taking taylor expansion of phi2 in lambda2 2.482 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))) in lambda2 2.482 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 2.482 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 2.482 * [taylor]: Taking taylor expansion of phi1 in lambda2 2.482 * [taylor]: Taking taylor expansion of (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))) in lambda2 2.482 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda2 2.482 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda2 2.482 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.482 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.482 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda2 2.482 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.482 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.482 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda2 2.482 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 2.482 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.482 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.482 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 2.482 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 2.483 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.483 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.483 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))))) in lambda1 2.483 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 2.483 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 2.483 * [taylor]: Taking taylor expansion of phi2 in lambda1 2.483 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))) in lambda1 2.483 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 2.483 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 2.483 * [taylor]: Taking taylor expansion of phi1 in lambda1 2.483 * [taylor]: Taking taylor expansion of (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))) in lambda1 2.483 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda1 2.483 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda1 2.483 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.483 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.484 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda1 2.484 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.484 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.484 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 2.484 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 2.484 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.484 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.484 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 2.484 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 2.484 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.484 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.485 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))))) in phi2 2.485 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 2.485 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.485 * [taylor]: Taking taylor expansion of phi2 in phi2 2.485 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))) in phi2 2.485 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 2.485 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.485 * [taylor]: Taking taylor expansion of phi1 in phi2 2.485 * [taylor]: Taking taylor expansion of (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))) in phi2 2.485 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi2 2.485 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi2 2.485 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 2.485 * [taylor]: Taking taylor expansion of lambda2 in phi2 2.485 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi2 2.485 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 2.485 * [taylor]: Taking taylor expansion of lambda1 in phi2 2.485 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in phi2 2.486 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi2 2.486 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 2.486 * [taylor]: Taking taylor expansion of lambda1 in phi2 2.486 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in phi2 2.486 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in phi2 2.486 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 2.486 * [taylor]: Taking taylor expansion of lambda2 in phi2 2.486 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))))) in phi1 2.486 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 2.486 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.486 * [taylor]: Taking taylor expansion of phi2 in phi1 2.486 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))) in phi1 2.486 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 2.486 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.486 * [taylor]: Taking taylor expansion of phi1 in phi1 2.486 * [taylor]: Taking taylor expansion of (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))) in phi1 2.486 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi1 2.486 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi1 2.486 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 2.486 * [taylor]: Taking taylor expansion of lambda2 in phi1 2.487 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi1 2.487 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 2.487 * [taylor]: Taking taylor expansion of lambda1 in phi1 2.487 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in phi1 2.487 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi1 2.487 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 2.487 * [taylor]: Taking taylor expansion of lambda1 in phi1 2.487 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in phi1 2.487 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in phi1 2.487 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 2.487 * [taylor]: Taking taylor expansion of lambda2 in phi1 2.487 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))))) in phi1 2.487 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 2.487 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.487 * [taylor]: Taking taylor expansion of phi2 in phi1 2.487 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))) in phi1 2.487 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 2.487 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.487 * [taylor]: Taking taylor expansion of phi1 in phi1 2.488 * [taylor]: Taking taylor expansion of (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))) in phi1 2.488 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi1 2.488 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi1 2.488 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 2.488 * [taylor]: Taking taylor expansion of lambda2 in phi1 2.488 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi1 2.488 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 2.488 * [taylor]: Taking taylor expansion of lambda1 in phi1 2.488 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in phi1 2.488 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi1 2.488 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 2.488 * [taylor]: Taking taylor expansion of lambda1 in phi1 2.488 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in phi1 2.488 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in phi1 2.488 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 2.488 * [taylor]: Taking taylor expansion of lambda2 in phi1 2.490 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))))) in phi2 2.490 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 2.490 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.490 * [taylor]: Taking taylor expansion of phi2 in phi2 2.491 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))) in phi2 2.491 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 2.491 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.491 * [taylor]: Taking taylor expansion of phi1 in phi2 2.491 * [taylor]: Taking taylor expansion of (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))) in phi2 2.491 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi2 2.491 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi2 2.491 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 2.491 * [taylor]: Taking taylor expansion of lambda2 in phi2 2.491 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi2 2.491 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 2.491 * [taylor]: Taking taylor expansion of lambda1 in phi2 2.491 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in phi2 2.491 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi2 2.491 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 2.491 * [taylor]: Taking taylor expansion of lambda1 in phi2 2.491 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in phi2 2.491 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in phi2 2.491 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 2.491 * [taylor]: Taking taylor expansion of lambda2 in phi2 2.494 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))))) in lambda1 2.494 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 2.494 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 2.494 * [taylor]: Taking taylor expansion of phi2 in lambda1 2.494 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))) in lambda1 2.494 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 2.494 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 2.494 * [taylor]: Taking taylor expansion of phi1 in lambda1 2.494 * [taylor]: Taking taylor expansion of (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))) in lambda1 2.494 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda1 2.494 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda1 2.494 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.494 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.494 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda1 2.494 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.494 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.495 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 2.495 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 2.495 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.495 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.495 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 2.495 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 2.495 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.495 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.497 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))))) in lambda2 2.497 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 2.497 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 2.497 * [taylor]: Taking taylor expansion of phi2 in lambda2 2.497 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))) in lambda2 2.497 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 2.497 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 2.497 * [taylor]: Taking taylor expansion of phi1 in lambda2 2.498 * [taylor]: Taking taylor expansion of (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))) in lambda2 2.498 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda2 2.498 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda2 2.498 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.498 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.498 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda2 2.498 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.498 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.498 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda2 2.498 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 2.498 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.498 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.498 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 2.498 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 2.498 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.498 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.511 * [taylor]: Taking taylor expansion of 0 in phi2 2.511 * [taylor]: Taking taylor expansion of 0 in lambda1 2.511 * [taylor]: Taking taylor expansion of 0 in lambda2 2.525 * [taylor]: Taking taylor expansion of 0 in lambda1 2.525 * [taylor]: Taking taylor expansion of 0 in lambda2 2.533 * [taylor]: Taking taylor expansion of 0 in lambda2 2.554 * [taylor]: Taking taylor expansion of 0 in phi2 2.554 * [taylor]: Taking taylor expansion of 0 in lambda1 2.554 * [taylor]: Taking taylor expansion of 0 in lambda2 2.554 * [taylor]: Taking taylor expansion of 0 in lambda1 2.554 * [taylor]: Taking taylor expansion of 0 in lambda2 2.555 * [approximate]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2)))) in (phi1 phi2 lambda1 lambda2) around 0 2.555 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2)))) in lambda2 2.555 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 2.555 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 2.555 * [taylor]: Taking taylor expansion of -1 in lambda2 2.555 * [taylor]: Taking taylor expansion of phi1 in lambda2 2.555 * [taylor]: Taking taylor expansion of (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2))) in lambda2 2.555 * [taylor]: Taking taylor expansion of (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) in lambda2 2.555 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda2 2.555 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda2 2.555 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.555 * [taylor]: Taking taylor expansion of -1 in lambda2 2.555 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.555 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda2 2.555 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 2.555 * [taylor]: Taking taylor expansion of -1 in lambda2 2.555 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.556 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 2.556 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 2.556 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.556 * [taylor]: Taking taylor expansion of -1 in lambda2 2.556 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.556 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 2.556 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.556 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.556 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 2.556 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 2.556 * [taylor]: Taking taylor expansion of -1 in lambda2 2.556 * [taylor]: Taking taylor expansion of phi2 in lambda2 2.556 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2)))) in lambda1 2.556 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 2.556 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 2.556 * [taylor]: Taking taylor expansion of -1 in lambda1 2.556 * [taylor]: Taking taylor expansion of phi1 in lambda1 2.557 * [taylor]: Taking taylor expansion of (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2))) in lambda1 2.557 * [taylor]: Taking taylor expansion of (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) in lambda1 2.557 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda1 2.557 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda1 2.557 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.557 * [taylor]: Taking taylor expansion of -1 in lambda1 2.557 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.557 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda1 2.557 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 2.557 * [taylor]: Taking taylor expansion of -1 in lambda1 2.557 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.557 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 2.557 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 2.557 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.557 * [taylor]: Taking taylor expansion of -1 in lambda1 2.557 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.558 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 2.558 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.558 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.558 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 2.558 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 2.558 * [taylor]: Taking taylor expansion of -1 in lambda1 2.558 * [taylor]: Taking taylor expansion of phi2 in lambda1 2.558 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2)))) in phi2 2.558 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 2.558 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.558 * [taylor]: Taking taylor expansion of -1 in phi2 2.558 * [taylor]: Taking taylor expansion of phi1 in phi2 2.558 * [taylor]: Taking taylor expansion of (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2))) in phi2 2.558 * [taylor]: Taking taylor expansion of (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) in phi2 2.558 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi2 2.558 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi2 2.558 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 2.558 * [taylor]: Taking taylor expansion of -1 in phi2 2.558 * [taylor]: Taking taylor expansion of lambda1 in phi2 2.558 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi2 2.558 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 2.558 * [taylor]: Taking taylor expansion of -1 in phi2 2.558 * [taylor]: Taking taylor expansion of lambda2 in phi2 2.558 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in phi2 2.558 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi2 2.558 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 2.558 * [taylor]: Taking taylor expansion of -1 in phi2 2.558 * [taylor]: Taking taylor expansion of lambda1 in phi2 2.558 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi2 2.558 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 2.558 * [taylor]: Taking taylor expansion of lambda2 in phi2 2.559 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 2.559 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.559 * [taylor]: Taking taylor expansion of -1 in phi2 2.559 * [taylor]: Taking taylor expansion of phi2 in phi2 2.559 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2)))) in phi1 2.559 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 2.559 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.559 * [taylor]: Taking taylor expansion of -1 in phi1 2.559 * [taylor]: Taking taylor expansion of phi1 in phi1 2.559 * [taylor]: Taking taylor expansion of (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2))) in phi1 2.559 * [taylor]: Taking taylor expansion of (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) in phi1 2.559 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi1 2.559 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi1 2.559 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 2.559 * [taylor]: Taking taylor expansion of -1 in phi1 2.559 * [taylor]: Taking taylor expansion of lambda1 in phi1 2.560 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi1 2.560 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 2.560 * [taylor]: Taking taylor expansion of -1 in phi1 2.560 * [taylor]: Taking taylor expansion of lambda2 in phi1 2.560 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in phi1 2.560 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi1 2.560 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 2.560 * [taylor]: Taking taylor expansion of -1 in phi1 2.560 * [taylor]: Taking taylor expansion of lambda1 in phi1 2.560 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi1 2.560 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 2.560 * [taylor]: Taking taylor expansion of lambda2 in phi1 2.560 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 2.560 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.560 * [taylor]: Taking taylor expansion of -1 in phi1 2.560 * [taylor]: Taking taylor expansion of phi2 in phi1 2.560 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2)))) in phi1 2.560 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 2.560 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.560 * [taylor]: Taking taylor expansion of -1 in phi1 2.560 * [taylor]: Taking taylor expansion of phi1 in phi1 2.560 * [taylor]: Taking taylor expansion of (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2))) in phi1 2.561 * [taylor]: Taking taylor expansion of (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) in phi1 2.561 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi1 2.561 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi1 2.561 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 2.561 * [taylor]: Taking taylor expansion of -1 in phi1 2.561 * [taylor]: Taking taylor expansion of lambda1 in phi1 2.561 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi1 2.561 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 2.561 * [taylor]: Taking taylor expansion of -1 in phi1 2.561 * [taylor]: Taking taylor expansion of lambda2 in phi1 2.561 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in phi1 2.561 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi1 2.561 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 2.561 * [taylor]: Taking taylor expansion of -1 in phi1 2.561 * [taylor]: Taking taylor expansion of lambda1 in phi1 2.561 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi1 2.561 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 2.561 * [taylor]: Taking taylor expansion of lambda2 in phi1 2.561 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 2.561 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.561 * [taylor]: Taking taylor expansion of -1 in phi1 2.561 * [taylor]: Taking taylor expansion of phi2 in phi1 2.563 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2)))) in phi2 2.563 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 2.563 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.563 * [taylor]: Taking taylor expansion of -1 in phi2 2.563 * [taylor]: Taking taylor expansion of phi1 in phi2 2.563 * [taylor]: Taking taylor expansion of (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2))) in phi2 2.564 * [taylor]: Taking taylor expansion of (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) in phi2 2.564 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi2 2.564 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi2 2.564 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 2.564 * [taylor]: Taking taylor expansion of -1 in phi2 2.564 * [taylor]: Taking taylor expansion of lambda1 in phi2 2.564 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi2 2.564 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 2.564 * [taylor]: Taking taylor expansion of -1 in phi2 2.564 * [taylor]: Taking taylor expansion of lambda2 in phi2 2.564 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in phi2 2.564 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi2 2.564 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 2.564 * [taylor]: Taking taylor expansion of -1 in phi2 2.564 * [taylor]: Taking taylor expansion of lambda1 in phi2 2.564 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi2 2.564 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 2.564 * [taylor]: Taking taylor expansion of lambda2 in phi2 2.564 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 2.564 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.564 * [taylor]: Taking taylor expansion of -1 in phi2 2.564 * [taylor]: Taking taylor expansion of phi2 in phi2 2.566 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2)))) in lambda1 2.566 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 2.566 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 2.567 * [taylor]: Taking taylor expansion of -1 in lambda1 2.567 * [taylor]: Taking taylor expansion of phi1 in lambda1 2.567 * [taylor]: Taking taylor expansion of (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2))) in lambda1 2.567 * [taylor]: Taking taylor expansion of (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) in lambda1 2.567 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda1 2.567 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda1 2.567 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.567 * [taylor]: Taking taylor expansion of -1 in lambda1 2.567 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.567 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda1 2.567 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 2.567 * [taylor]: Taking taylor expansion of -1 in lambda1 2.567 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.567 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 2.567 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 2.567 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.567 * [taylor]: Taking taylor expansion of -1 in lambda1 2.567 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.568 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 2.568 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.568 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.568 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 2.568 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 2.568 * [taylor]: Taking taylor expansion of -1 in lambda1 2.568 * [taylor]: Taking taylor expansion of phi2 in lambda1 2.570 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2)))) in lambda2 2.570 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 2.570 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 2.570 * [taylor]: Taking taylor expansion of -1 in lambda2 2.570 * [taylor]: Taking taylor expansion of phi1 in lambda2 2.570 * [taylor]: Taking taylor expansion of (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2))) in lambda2 2.570 * [taylor]: Taking taylor expansion of (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) in lambda2 2.570 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda2 2.570 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda2 2.570 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.570 * [taylor]: Taking taylor expansion of -1 in lambda2 2.570 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.570 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda2 2.570 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 2.570 * [taylor]: Taking taylor expansion of -1 in lambda2 2.570 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.571 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 2.571 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 2.571 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.571 * [taylor]: Taking taylor expansion of -1 in lambda2 2.571 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.571 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 2.571 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.571 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.571 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 2.571 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 2.571 * [taylor]: Taking taylor expansion of -1 in lambda2 2.571 * [taylor]: Taking taylor expansion of phi2 in lambda2 2.583 * [taylor]: Taking taylor expansion of 0 in phi2 2.583 * [taylor]: Taking taylor expansion of 0 in lambda1 2.583 * [taylor]: Taking taylor expansion of 0 in lambda2 2.592 * [taylor]: Taking taylor expansion of 0 in lambda1 2.592 * [taylor]: Taking taylor expansion of 0 in lambda2 2.600 * [taylor]: Taking taylor expansion of 0 in lambda2 2.625 * [taylor]: Taking taylor expansion of 0 in phi2 2.625 * [taylor]: Taking taylor expansion of 0 in lambda1 2.625 * [taylor]: Taking taylor expansion of 0 in lambda2 2.625 * [taylor]: Taking taylor expansion of 0 in lambda1 2.625 * [taylor]: Taking taylor expansion of 0 in lambda2 2.626 * * * [progress]: simplifying candidates 2.627 * [simplify]: Simplifying using # : (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) (+ (+ (log (cos phi1)) (log (cos phi2))) (log (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) (+ (log (* (cos phi1) (cos phi2))) (log (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) (log (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) (exp (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) (* (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))) (* (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) (* (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))) (* (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) (* (cbrt (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) (cbrt (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (cbrt (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) (* (* (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) (sqrt (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) (sqrt (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (- (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) (- (cos (- lambda1 (- lambda2))) (cos (+ lambda1 (- lambda2)))))) (* 2 2) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (- (* (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) 2) (* 2 (- (cos (- lambda1 (- lambda2))) (cos (+ lambda1 (- lambda2))))))) (* 2 (* 2 2)) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (- (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin (- lambda2))) 3))) (* 2 (+ (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (+ (* (* (sin lambda1) (sin (- lambda2))) (* (sin lambda1) (sin (- lambda2)))) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin (- lambda2))) (* (sin lambda1) (sin (- lambda2)))))) (* 2 (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (- (* (sin lambda1) (sin (- lambda2))))) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (- (* (sin lambda1) (sin (- lambda2))))) (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (- (* (sin lambda1) (sin (- lambda2)))) (* (cos phi1) (cos phi2))) (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (- (* (sin lambda1) (sin (- lambda2)))) (* (cos phi1) (cos phi2))) (* (* (cos phi1) (cos phi2)) (* (cbrt (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) (cbrt (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (* (* (cos phi1) (cos phi2)) (sqrt (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) (* (* (cos phi1) (cos phi2)) 1) (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) (* (* (cos phi1) (cos phi2)) (- (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) (- (cos (- lambda1 (- lambda2))) (cos (+ lambda1 (- lambda2)))))) (* (* (cos phi1) (cos phi2)) (- (* (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) 2) (* 2 (- (cos (- lambda1 (- lambda2))) (cos (+ lambda1 (- lambda2))))))) (* (* (cos phi1) (cos phi2)) (- (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin (- lambda2))) 3))) (* (* (cos phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin (- lambda2))) (* (sin lambda1) (sin (- lambda2)))))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (- 1 (+ (* 1/2 (pow phi1 2)) (* 1/2 (pow phi2 2)))) (* (cos phi1) (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) (* (cos phi1) (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (* -1 lambda2)))) (cos phi2))) 2.634 * * [simplify]: iteration 0 : 195 enodes (cost 2211 ) 2.671 * * [simplify]: iteration 1 : 489 enodes (cost 2178 ) 2.969 * * [simplify]: iteration 2 : 1719 enodes (cost 1781 ) 3.494 * * [simplify]: iteration done : 5001 enodes (cost 1779 ) 3.495 * [simplify]: Simplified to: (/ PI 2) (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))) (log (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (* (cbrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (cbrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) (cbrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (pow (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))) 3) (sqrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (sqrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (* R (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (log (* R (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) (log (* R (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) (pow (exp R) (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (pow (* R (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) 3) (* (cbrt (* R (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) (cbrt (* R (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))))) (cbrt (* R (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) (pow (* R (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) 3) (sqrt (* R (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) (sqrt (* R (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) (* (sqrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (sqrt R)) (* (sqrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (sqrt R)) (* (cbrt R) (* (cbrt R) (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) (* (sqrt R) (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))) (* (cbrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) R) (* R (sqrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) (* R (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (log (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (pow (exp (cos phi1)) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (pow (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) 3) (pow (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) 3) (* (cbrt (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (cbrt (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (pow (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) 3) (sqrt (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (- (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) (- (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))))) 4 (* (* 2 (- (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) (- (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))))) (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2)))) 8 (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (- (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin (- lambda2))) 3))) (* (+ (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (sin lambda1) (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (sin (- lambda2))))) 2) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda1)) (* (sin lambda2) (sin lambda2))))) (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) 2) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (cos phi2) (* (cos phi1) (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* (cos phi1) (cos phi2)) (sqrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (cos phi1) (cos phi2)) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (- (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) (- (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))))) (* (cos phi2) (* (cos phi1) (* 2 (- (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) (- (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))))))) (* (* (cos phi1) (cos phi2)) (- (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin (- lambda2))) 3))) (* (cos phi1) (* (cos phi2) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda1)) (* (sin lambda2) (sin lambda2)))))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))) (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))) (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))) (* R (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (* R (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (* R (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (- 1 (* 1/2 (+ (pow phi1 2) (pow phi2 2)))) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) 3.496 * * * [progress]: adding candidates to table 3.895 * * [progress]: iteration 3 / 4 3.895 * * * [progress]: picking best candidate 3.987 * * * * [pick]: Picked # 3.987 * * * [progress]: localizing error 4.025 * * * [progress]: generating rewritten candidates 4.025 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 4.026 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 4.028 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 4.030 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 4.037 * * * [progress]: generating series expansions 4.037 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 4.038 * [approximate]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 4.038 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 4.038 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 4.039 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 4.039 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 4.039 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 4.040 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) in phi2 4.040 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) in lambda1 4.040 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) in lambda2 4.041 * [taylor]: Taking taylor expansion of 0 in phi2 4.041 * [taylor]: Taking taylor expansion of 0 in lambda1 4.041 * [taylor]: Taking taylor expansion of 0 in lambda2 4.041 * [taylor]: Taking taylor expansion of 0 in lambda1 4.041 * [taylor]: Taking taylor expansion of 0 in lambda2 4.041 * [taylor]: Taking taylor expansion of 0 in lambda2 4.041 * [taylor]: Taking taylor expansion of 0 in phi2 4.041 * [taylor]: Taking taylor expansion of 0 in lambda1 4.041 * [taylor]: Taking taylor expansion of 0 in lambda2 4.041 * [taylor]: Taking taylor expansion of 0 in lambda1 4.041 * [taylor]: Taking taylor expansion of 0 in lambda2 4.042 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 4.042 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 4.043 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 4.043 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 4.044 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 4.044 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 4.045 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 4.045 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 4.046 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 4.047 * [taylor]: Taking taylor expansion of 0 in phi2 4.047 * [taylor]: Taking taylor expansion of 0 in lambda1 4.047 * [taylor]: Taking taylor expansion of 0 in lambda2 4.047 * [taylor]: Taking taylor expansion of 0 in lambda1 4.047 * [taylor]: Taking taylor expansion of 0 in lambda2 4.047 * [taylor]: Taking taylor expansion of 0 in lambda2 4.047 * [taylor]: Taking taylor expansion of 0 in phi2 4.047 * [taylor]: Taking taylor expansion of 0 in lambda1 4.047 * [taylor]: Taking taylor expansion of 0 in lambda2 4.047 * [taylor]: Taking taylor expansion of 0 in lambda1 4.047 * [taylor]: Taking taylor expansion of 0 in lambda2 4.048 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 4.048 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 4.048 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 4.049 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 4.049 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 4.050 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 4.050 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 4.051 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 4.051 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 4.052 * [taylor]: Taking taylor expansion of 0 in phi2 4.052 * [taylor]: Taking taylor expansion of 0 in lambda1 4.053 * [taylor]: Taking taylor expansion of 0 in lambda2 4.053 * [taylor]: Taking taylor expansion of 0 in lambda1 4.053 * [taylor]: Taking taylor expansion of 0 in lambda2 4.053 * [taylor]: Taking taylor expansion of 0 in lambda2 4.053 * [taylor]: Taking taylor expansion of 0 in phi2 4.053 * [taylor]: Taking taylor expansion of 0 in lambda1 4.053 * [taylor]: Taking taylor expansion of 0 in lambda2 4.053 * [taylor]: Taking taylor expansion of 0 in lambda1 4.053 * [taylor]: Taking taylor expansion of 0 in lambda2 4.053 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 4.054 * [approximate]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 4.054 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 4.054 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 4.055 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 4.055 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 4.055 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 4.056 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) in phi2 4.056 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) in lambda1 4.056 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) in lambda2 4.057 * [taylor]: Taking taylor expansion of 0 in phi2 4.057 * [taylor]: Taking taylor expansion of 0 in lambda1 4.057 * [taylor]: Taking taylor expansion of 0 in lambda2 4.057 * [taylor]: Taking taylor expansion of 0 in lambda1 4.057 * [taylor]: Taking taylor expansion of 0 in lambda2 4.057 * [taylor]: Taking taylor expansion of 0 in lambda2 4.057 * [taylor]: Taking taylor expansion of 0 in phi2 4.057 * [taylor]: Taking taylor expansion of 0 in lambda1 4.057 * [taylor]: Taking taylor expansion of 0 in lambda2 4.057 * [taylor]: Taking taylor expansion of 0 in lambda1 4.057 * [taylor]: Taking taylor expansion of 0 in lambda2 4.058 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 4.058 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 4.059 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 4.059 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 4.060 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 4.060 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 4.061 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 4.061 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 4.062 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 4.063 * [taylor]: Taking taylor expansion of 0 in phi2 4.063 * [taylor]: Taking taylor expansion of 0 in lambda1 4.063 * [taylor]: Taking taylor expansion of 0 in lambda2 4.063 * [taylor]: Taking taylor expansion of 0 in lambda1 4.063 * [taylor]: Taking taylor expansion of 0 in lambda2 4.063 * [taylor]: Taking taylor expansion of 0 in lambda2 4.063 * [taylor]: Taking taylor expansion of 0 in phi2 4.063 * [taylor]: Taking taylor expansion of 0 in lambda1 4.063 * [taylor]: Taking taylor expansion of 0 in lambda2 4.063 * [taylor]: Taking taylor expansion of 0 in lambda1 4.063 * [taylor]: Taking taylor expansion of 0 in lambda2 4.064 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 4.064 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 4.065 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 4.065 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 4.066 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 4.066 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 4.067 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 4.067 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 4.068 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 4.069 * [taylor]: Taking taylor expansion of 0 in phi2 4.069 * [taylor]: Taking taylor expansion of 0 in lambda1 4.069 * [taylor]: Taking taylor expansion of 0 in lambda2 4.069 * [taylor]: Taking taylor expansion of 0 in lambda1 4.069 * [taylor]: Taking taylor expansion of 0 in lambda2 4.069 * [taylor]: Taking taylor expansion of 0 in lambda2 4.069 * [taylor]: Taking taylor expansion of 0 in phi2 4.069 * [taylor]: Taking taylor expansion of 0 in lambda1 4.069 * [taylor]: Taking taylor expansion of 0 in lambda2 4.069 * [taylor]: Taking taylor expansion of 0 in lambda1 4.069 * [taylor]: Taking taylor expansion of 0 in lambda2 4.070 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 4.070 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 4.070 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2 4.070 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 4.071 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1 4.071 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 4.072 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2 4.072 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 4.072 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1 4.072 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 4.073 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1 4.073 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 4.074 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))))))) in phi2 4.074 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) in phi2 4.075 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))))))) in lambda1 4.075 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) in lambda1 4.075 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))))))) in lambda2 4.075 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) in lambda2 4.078 * [taylor]: Taking taylor expansion of 0 in phi2 4.078 * [taylor]: Taking taylor expansion of 0 in lambda1 4.078 * [taylor]: Taking taylor expansion of 0 in lambda2 4.079 * [taylor]: Taking taylor expansion of 0 in lambda1 4.079 * [taylor]: Taking taylor expansion of 0 in lambda2 4.080 * [taylor]: Taking taylor expansion of 0 in lambda2 4.082 * [taylor]: Taking taylor expansion of 0 in phi2 4.082 * [taylor]: Taking taylor expansion of 0 in lambda1 4.082 * [taylor]: Taking taylor expansion of 0 in lambda2 4.082 * [taylor]: Taking taylor expansion of 0 in lambda1 4.082 * [taylor]: Taking taylor expansion of 0 in lambda2 4.083 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in (phi1 phi2 lambda1 lambda2) around 0 4.083 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2 4.083 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 4.084 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1 4.084 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 4.085 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2 4.085 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 4.086 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1 4.086 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 4.087 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1 4.087 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 4.088 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2 4.088 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 4.089 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1 4.089 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 4.090 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2 4.090 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 4.093 * [taylor]: Taking taylor expansion of 0 in phi2 4.093 * [taylor]: Taking taylor expansion of 0 in lambda1 4.093 * [taylor]: Taking taylor expansion of 0 in lambda2 4.094 * [taylor]: Taking taylor expansion of 0 in lambda1 4.094 * [taylor]: Taking taylor expansion of 0 in lambda2 4.095 * [taylor]: Taking taylor expansion of 0 in lambda2 4.097 * [taylor]: Taking taylor expansion of 0 in phi2 4.097 * [taylor]: Taking taylor expansion of 0 in lambda1 4.097 * [taylor]: Taking taylor expansion of 0 in lambda2 4.097 * [taylor]: Taking taylor expansion of 0 in lambda1 4.097 * [taylor]: Taking taylor expansion of 0 in lambda2 4.098 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 4.098 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2 4.098 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 4.099 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda1 4.099 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 4.100 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2 4.100 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 4.101 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi1 4.101 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 4.102 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi1 4.102 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 4.103 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2 4.103 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 4.106 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda1 4.107 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 4.107 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2 4.108 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 4.110 * [taylor]: Taking taylor expansion of 0 in phi2 4.110 * [taylor]: Taking taylor expansion of 0 in lambda1 4.110 * [taylor]: Taking taylor expansion of 0 in lambda2 4.111 * [taylor]: Taking taylor expansion of 0 in lambda1 4.111 * [taylor]: Taking taylor expansion of 0 in lambda2 4.112 * [taylor]: Taking taylor expansion of 0 in lambda2 4.115 * [taylor]: Taking taylor expansion of 0 in phi2 4.115 * [taylor]: Taking taylor expansion of 0 in lambda1 4.115 * [taylor]: Taking taylor expansion of 0 in lambda2 4.115 * [taylor]: Taking taylor expansion of 0 in lambda1 4.115 * [taylor]: Taking taylor expansion of 0 in lambda2 4.116 * * * * [progress]: [ 4 / 4 ] generating series at (2) 4.116 * [approximate]: Taking taylor expansion of (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 4.116 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) in R 4.116 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R 4.117 * [taylor]: Taking taylor expansion of R in R 4.117 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) in lambda2 4.117 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 4.117 * [taylor]: Taking taylor expansion of R in lambda2 4.117 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) in lambda1 4.117 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 4.117 * [taylor]: Taking taylor expansion of R in lambda1 4.117 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) in phi2 4.117 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 4.118 * [taylor]: Taking taylor expansion of R in phi2 4.118 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) in phi1 4.118 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 4.118 * [taylor]: Taking taylor expansion of R in phi1 4.118 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) in phi1 4.118 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 4.119 * [taylor]: Taking taylor expansion of R in phi1 4.119 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) R) in phi2 4.119 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) in phi2 4.119 * [taylor]: Taking taylor expansion of R in phi2 4.120 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) R) in lambda1 4.120 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) in lambda1 4.120 * [taylor]: Taking taylor expansion of R in lambda1 4.120 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) R) in lambda2 4.120 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) in lambda2 4.121 * [taylor]: Taking taylor expansion of R in lambda2 4.121 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) R) in R 4.121 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) in R 4.121 * [taylor]: Taking taylor expansion of R in R 4.122 * [taylor]: Taking taylor expansion of 0 in phi2 4.122 * [taylor]: Taking taylor expansion of 0 in lambda1 4.122 * [taylor]: Taking taylor expansion of 0 in lambda2 4.122 * [taylor]: Taking taylor expansion of 0 in R 4.123 * [taylor]: Taking taylor expansion of 0 in lambda1 4.123 * [taylor]: Taking taylor expansion of 0 in lambda2 4.123 * [taylor]: Taking taylor expansion of 0 in R 4.123 * [taylor]: Taking taylor expansion of 0 in lambda2 4.123 * [taylor]: Taking taylor expansion of 0 in R 4.124 * [taylor]: Taking taylor expansion of 0 in R 4.126 * [taylor]: Taking taylor expansion of 0 in phi2 4.126 * [taylor]: Taking taylor expansion of 0 in lambda1 4.126 * [taylor]: Taking taylor expansion of 0 in lambda2 4.126 * [taylor]: Taking taylor expansion of 0 in R 4.126 * [taylor]: Taking taylor expansion of 0 in lambda1 4.126 * [taylor]: Taking taylor expansion of 0 in lambda2 4.126 * [taylor]: Taking taylor expansion of 0 in R 4.126 * [taylor]: Taking taylor expansion of 0 in lambda1 4.126 * [taylor]: Taking taylor expansion of 0 in lambda2 4.126 * [taylor]: Taking taylor expansion of 0 in R 4.126 * [taylor]: Taking taylor expansion of 0 in lambda2 4.126 * [taylor]: Taking taylor expansion of 0 in R 4.126 * [taylor]: Taking taylor expansion of 0 in lambda2 4.127 * [taylor]: Taking taylor expansion of 0 in R 4.127 * [taylor]: Taking taylor expansion of 0 in lambda2 4.127 * [taylor]: Taking taylor expansion of 0 in R 4.129 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 4.129 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 4.129 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 4.129 * [taylor]: Taking taylor expansion of R in R 4.130 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 4.130 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 4.130 * [taylor]: Taking taylor expansion of R in lambda2 4.131 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 4.131 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 4.131 * [taylor]: Taking taylor expansion of R in lambda1 4.132 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 4.132 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 4.132 * [taylor]: Taking taylor expansion of R in phi2 4.133 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 4.133 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 4.133 * [taylor]: Taking taylor expansion of R in phi1 4.134 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 4.134 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 4.134 * [taylor]: Taking taylor expansion of R in phi1 4.135 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 4.135 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 4.135 * [taylor]: Taking taylor expansion of R in phi2 4.136 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 4.136 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 4.137 * [taylor]: Taking taylor expansion of R in lambda1 4.137 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 4.137 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 4.138 * [taylor]: Taking taylor expansion of R in lambda2 4.138 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 4.138 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 4.139 * [taylor]: Taking taylor expansion of R in R 4.140 * [taylor]: Taking taylor expansion of 0 in phi2 4.140 * [taylor]: Taking taylor expansion of 0 in lambda1 4.140 * [taylor]: Taking taylor expansion of 0 in lambda2 4.140 * [taylor]: Taking taylor expansion of 0 in R 4.141 * [taylor]: Taking taylor expansion of 0 in lambda1 4.141 * [taylor]: Taking taylor expansion of 0 in lambda2 4.141 * [taylor]: Taking taylor expansion of 0 in R 4.142 * [taylor]: Taking taylor expansion of 0 in lambda2 4.142 * [taylor]: Taking taylor expansion of 0 in R 4.142 * [taylor]: Taking taylor expansion of 0 in R 4.144 * [taylor]: Taking taylor expansion of 0 in phi2 4.144 * [taylor]: Taking taylor expansion of 0 in lambda1 4.144 * [taylor]: Taking taylor expansion of 0 in lambda2 4.144 * [taylor]: Taking taylor expansion of 0 in R 4.144 * [taylor]: Taking taylor expansion of 0 in lambda1 4.144 * [taylor]: Taking taylor expansion of 0 in lambda2 4.144 * [taylor]: Taking taylor expansion of 0 in R 4.145 * [taylor]: Taking taylor expansion of 0 in lambda1 4.145 * [taylor]: Taking taylor expansion of 0 in lambda2 4.145 * [taylor]: Taking taylor expansion of 0 in R 4.145 * [taylor]: Taking taylor expansion of 0 in lambda2 4.145 * [taylor]: Taking taylor expansion of 0 in R 4.145 * [taylor]: Taking taylor expansion of 0 in lambda2 4.145 * [taylor]: Taking taylor expansion of 0 in R 4.146 * [taylor]: Taking taylor expansion of 0 in lambda2 4.146 * [taylor]: Taking taylor expansion of 0 in R 4.146 * [taylor]: Taking taylor expansion of 0 in R 4.146 * [taylor]: Taking taylor expansion of 0 in R 4.146 * [taylor]: Taking taylor expansion of 0 in R 4.147 * [taylor]: Taking taylor expansion of 0 in R 4.150 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 4.150 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 4.150 * [taylor]: Taking taylor expansion of -1 in R 4.150 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 4.150 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 4.151 * [taylor]: Taking taylor expansion of R in R 4.151 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 4.151 * [taylor]: Taking taylor expansion of -1 in lambda2 4.151 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 4.151 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 4.152 * [taylor]: Taking taylor expansion of R in lambda2 4.152 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 4.152 * [taylor]: Taking taylor expansion of -1 in lambda1 4.152 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 4.152 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 4.153 * [taylor]: Taking taylor expansion of R in lambda1 4.153 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 4.153 * [taylor]: Taking taylor expansion of -1 in phi2 4.153 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 4.153 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 4.154 * [taylor]: Taking taylor expansion of R in phi2 4.154 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 4.154 * [taylor]: Taking taylor expansion of -1 in phi1 4.154 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 4.154 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 4.155 * [taylor]: Taking taylor expansion of R in phi1 4.155 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 4.155 * [taylor]: Taking taylor expansion of -1 in phi1 4.155 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 4.155 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 4.156 * [taylor]: Taking taylor expansion of R in phi1 4.157 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 4.157 * [taylor]: Taking taylor expansion of -1 in phi2 4.157 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 4.157 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 4.157 * [taylor]: Taking taylor expansion of R in phi2 4.158 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 4.158 * [taylor]: Taking taylor expansion of -1 in lambda1 4.158 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 4.158 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 4.159 * [taylor]: Taking taylor expansion of R in lambda1 4.160 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 4.160 * [taylor]: Taking taylor expansion of -1 in lambda2 4.160 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 4.160 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 4.161 * [taylor]: Taking taylor expansion of R in lambda2 4.162 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 4.162 * [taylor]: Taking taylor expansion of -1 in R 4.162 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 4.162 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 4.162 * [taylor]: Taking taylor expansion of R in R 4.165 * [taylor]: Taking taylor expansion of 0 in phi2 4.165 * [taylor]: Taking taylor expansion of 0 in lambda1 4.165 * [taylor]: Taking taylor expansion of 0 in lambda2 4.165 * [taylor]: Taking taylor expansion of 0 in R 4.167 * [taylor]: Taking taylor expansion of 0 in lambda1 4.167 * [taylor]: Taking taylor expansion of 0 in lambda2 4.167 * [taylor]: Taking taylor expansion of 0 in R 4.169 * [taylor]: Taking taylor expansion of 0 in lambda2 4.169 * [taylor]: Taking taylor expansion of 0 in R 4.170 * [taylor]: Taking taylor expansion of 0 in R 4.174 * [taylor]: Taking taylor expansion of 0 in phi2 4.174 * [taylor]: Taking taylor expansion of 0 in lambda1 4.174 * [taylor]: Taking taylor expansion of 0 in lambda2 4.174 * [taylor]: Taking taylor expansion of 0 in R 4.174 * [taylor]: Taking taylor expansion of 0 in lambda1 4.174 * [taylor]: Taking taylor expansion of 0 in lambda2 4.174 * [taylor]: Taking taylor expansion of 0 in R 4.176 * [taylor]: Taking taylor expansion of 0 in lambda1 4.176 * [taylor]: Taking taylor expansion of 0 in lambda2 4.176 * [taylor]: Taking taylor expansion of 0 in R 4.176 * [taylor]: Taking taylor expansion of 0 in lambda2 4.176 * [taylor]: Taking taylor expansion of 0 in R 4.176 * [taylor]: Taking taylor expansion of 0 in lambda2 4.176 * [taylor]: Taking taylor expansion of 0 in R 4.178 * [taylor]: Taking taylor expansion of 0 in lambda2 4.178 * [taylor]: Taking taylor expansion of 0 in R 4.178 * [taylor]: Taking taylor expansion of 0 in R 4.178 * [taylor]: Taking taylor expansion of 0 in R 4.178 * [taylor]: Taking taylor expansion of 0 in R 4.179 * [taylor]: Taking taylor expansion of 0 in R 4.183 * * * [progress]: simplifying candidates 4.186 * [simplify]: Simplifying using # : (/ PI 2) (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))) (log (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (* (cbrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (cbrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) (cbrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (* (* (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))) (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (sqrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (sqrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (log (* (cbrt (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) (cbrt (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))))) (log (cbrt (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))))) (log (sqrt (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))))) (log (sqrt (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))))) (log 1) (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) (log (exp (/ PI 2))) (log (exp (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) (log (exp (* (cbrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (cbrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))))) (log (exp (sqrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))))) (log (exp 1)) (log (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))))) (exp (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))))) (* (cbrt (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))))) (cbrt (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))))) (cbrt (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))))) (* (* (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))))) (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))))) (sqrt (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))))) (sqrt (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))))) (exp (* (cbrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (cbrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))))) (exp (sqrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) (exp 1) (exp (/ PI 2)) (exp (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) (exp (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) (* (cbrt (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) (cbrt (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))))) (cbrt (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) (* (* (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) (sqrt (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) (sqrt (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) (* (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) R) (+ (log (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))))) (log R)) (log (* (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) R)) (exp (* (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) R)) (* (* (* (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))))) (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))))) (* (* R R) R)) (* (cbrt (* (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) R)) (cbrt (* (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) R))) (cbrt (* (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) R)) (* (* (* (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) R) (* (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) R)) (* (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) R)) (sqrt (* (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) R)) (sqrt (* (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) R)) (* (sqrt (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))))) (sqrt R)) (* (sqrt (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))))) (sqrt R)) (* (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) (* (cbrt R) (cbrt R))) (* (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) (sqrt R)) (* (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) 1) (* (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) R) (* (log (exp (* (cbrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (cbrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))))) R) (* (log (exp (sqrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))))) R) (* (log (exp 1)) R) (* (cbrt (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))))) R) (* (sqrt (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))))) R) (* (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) R) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos 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 lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (exp (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) (exp (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos 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) 4.192 * * [simplify]: iteration 0 : 107 enodes (cost 2374 ) 4.206 * * [simplify]: iteration 1 : 183 enodes (cost 2277 ) 4.242 * * [simplify]: iteration 2 : 355 enodes (cost 2025 ) 4.313 * * [simplify]: iteration 3 : 535 enodes (cost 2025 ) 4.437 * * [simplify]: iteration 4 : 731 enodes (cost 1929 ) 4.614 * * [simplify]: iteration 5 : 1397 enodes (cost 1927 ) 5.594 * * [simplify]: iteration 6 : 4428 enodes (cost 1927 ) 6.800 * * [simplify]: iteration done : 5000 enodes (cost 1927 ) 6.800 * [simplify]: Simplified to: (/ PI 2) (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))) (log (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (* (cbrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (cbrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) (cbrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (pow (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))) 3) (sqrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (sqrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (* 2 (log (cbrt (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))))) (log (cbrt (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))))) (/ (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))) 2) (/ (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))) 2) 0 (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))) (/ PI 2) (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))) (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))) (* (cbrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (cbrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) (sqrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) 1 (log (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (* (cbrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (cbrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) (cbrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (pow (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))) 3) (sqrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (sqrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (exp (* (cbrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (cbrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))))) (exp (sqrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) E (sqrt (exp PI)) (exp (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))) (exp (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) (* (cbrt (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) (cbrt (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))))) (cbrt (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) (pow (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) 3) (sqrt (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) (sqrt (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) (* (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))) R) (log (* R (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) (log (* R (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) (exp (* R (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) (pow (* R (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) 3) (* (cbrt (* R (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) (cbrt (* R (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))))) (cbrt (* R (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) (pow (* R (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) 3) (sqrt (* R (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) (sqrt (* R (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) (* (sqrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (sqrt R)) (* (sqrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (sqrt R)) (* (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))) (sqrt R)) (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))) (* (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))) R) (* (* (cbrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (cbrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) R) (* R (sqrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) R (* (cbrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) R) (* R (sqrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) (* (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))) R) (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))) (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))) (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))) (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))) (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))) (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))) (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (* (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))) R) (* (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))) R) (* (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))) R) 6.801 * * * [progress]: adding candidates to table 7.088 * * [progress]: iteration 4 / 4 7.088 * * * [progress]: picking best candidate 7.194 * * * * [pick]: Picked # 7.194 * * * [progress]: localizing error 7.229 * * * [progress]: generating rewritten candidates 7.229 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 7.239 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 7.240 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 7.275 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 2) 7.281 * * * [progress]: generating series expansions 7.281 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 7.282 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 7.282 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2 7.282 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 7.282 * [taylor]: Taking taylor expansion of 1/2 in lambda2 7.282 * [taylor]: Taking taylor expansion of PI in lambda2 7.282 * [taylor]: Taking taylor expansion of (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 7.282 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1 7.282 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 7.282 * [taylor]: Taking taylor expansion of 1/2 in lambda1 7.282 * [taylor]: Taking taylor expansion of PI in lambda1 7.282 * [taylor]: Taking taylor expansion of (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 7.283 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2 7.283 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 7.283 * [taylor]: Taking taylor expansion of 1/2 in phi2 7.283 * [taylor]: Taking taylor expansion of PI in phi2 7.283 * [taylor]: Taking taylor expansion of (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 7.283 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1 7.283 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 7.283 * [taylor]: Taking taylor expansion of 1/2 in phi1 7.283 * [taylor]: Taking taylor expansion of PI in phi1 7.283 * [taylor]: Taking taylor expansion of (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 7.283 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1 7.283 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 7.283 * [taylor]: Taking taylor expansion of 1/2 in phi1 7.283 * [taylor]: Taking taylor expansion of PI in phi1 7.283 * [taylor]: Taking taylor expansion of (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 7.285 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))))))) in phi2 7.285 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 7.285 * [taylor]: Taking taylor expansion of 1/2 in phi2 7.285 * [taylor]: Taking taylor expansion of PI in phi2 7.285 * [taylor]: Taking taylor expansion of (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) in phi2 7.287 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))))))) in lambda1 7.287 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 7.287 * [taylor]: Taking taylor expansion of 1/2 in lambda1 7.287 * [taylor]: Taking taylor expansion of PI in lambda1 7.287 * [taylor]: Taking taylor expansion of (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) in lambda1 7.289 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))))))) in lambda2 7.289 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 7.289 * [taylor]: Taking taylor expansion of 1/2 in lambda2 7.289 * [taylor]: Taking taylor expansion of PI in lambda2 7.289 * [taylor]: Taking taylor expansion of (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) in lambda2 7.292 * [taylor]: Taking taylor expansion of 0 in phi2 7.292 * [taylor]: Taking taylor expansion of 0 in lambda1 7.292 * [taylor]: Taking taylor expansion of 0 in lambda2 7.293 * [taylor]: Taking taylor expansion of 0 in lambda1 7.293 * [taylor]: Taking taylor expansion of 0 in lambda2 7.294 * [taylor]: Taking taylor expansion of 0 in lambda2 7.296 * [taylor]: Taking taylor expansion of 0 in phi2 7.296 * [taylor]: Taking taylor expansion of 0 in lambda1 7.296 * [taylor]: Taking taylor expansion of 0 in lambda2 7.296 * [taylor]: Taking taylor expansion of 0 in lambda1 7.296 * [taylor]: Taking taylor expansion of 0 in lambda2 7.298 * [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 7.298 * [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 7.298 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 7.298 * [taylor]: Taking taylor expansion of 1/2 in lambda2 7.298 * [taylor]: Taking taylor expansion of PI in lambda2 7.298 * [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 7.298 * [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 7.298 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 7.298 * [taylor]: Taking taylor expansion of 1/2 in lambda1 7.298 * [taylor]: Taking taylor expansion of PI in lambda1 7.298 * [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 7.299 * [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 7.299 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 7.299 * [taylor]: Taking taylor expansion of 1/2 in phi2 7.299 * [taylor]: Taking taylor expansion of PI in phi2 7.299 * [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 7.299 * [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 7.299 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 7.299 * [taylor]: Taking taylor expansion of 1/2 in phi1 7.299 * [taylor]: Taking taylor expansion of PI in phi1 7.299 * [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 7.300 * [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 7.300 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 7.300 * [taylor]: Taking taylor expansion of 1/2 in phi1 7.300 * [taylor]: Taking taylor expansion of PI in phi1 7.300 * [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 7.302 * [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 7.302 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 7.302 * [taylor]: Taking taylor expansion of 1/2 in phi2 7.302 * [taylor]: Taking taylor expansion of PI in phi2 7.302 * [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 7.304 * [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 7.304 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 7.304 * [taylor]: Taking taylor expansion of 1/2 in lambda1 7.304 * [taylor]: Taking taylor expansion of PI in lambda1 7.304 * [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 7.307 * [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 7.307 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 7.307 * [taylor]: Taking taylor expansion of 1/2 in lambda2 7.307 * [taylor]: Taking taylor expansion of PI in lambda2 7.307 * [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 7.311 * [taylor]: Taking taylor expansion of 0 in phi2 7.311 * [taylor]: Taking taylor expansion of 0 in lambda1 7.311 * [taylor]: Taking taylor expansion of 0 in lambda2 7.311 * [taylor]: Taking taylor expansion of 0 in lambda1 7.311 * [taylor]: Taking taylor expansion of 0 in lambda2 7.312 * [taylor]: Taking taylor expansion of 0 in lambda2 7.314 * [taylor]: Taking taylor expansion of 0 in phi2 7.314 * [taylor]: Taking taylor expansion of 0 in lambda1 7.314 * [taylor]: Taking taylor expansion of 0 in lambda2 7.314 * [taylor]: Taking taylor expansion of 0 in lambda1 7.314 * [taylor]: Taking taylor expansion of 0 in lambda2 7.316 * [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 7.316 * [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 7.316 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 7.316 * [taylor]: Taking taylor expansion of 1/2 in lambda2 7.316 * [taylor]: Taking taylor expansion of PI in lambda2 7.316 * [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 7.317 * [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 7.317 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 7.317 * [taylor]: Taking taylor expansion of 1/2 in lambda1 7.317 * [taylor]: Taking taylor expansion of PI in lambda1 7.317 * [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 7.317 * [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 7.318 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 7.318 * [taylor]: Taking taylor expansion of 1/2 in phi2 7.318 * [taylor]: Taking taylor expansion of PI in phi2 7.318 * [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 7.318 * [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 7.318 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 7.318 * [taylor]: Taking taylor expansion of 1/2 in phi1 7.318 * [taylor]: Taking taylor expansion of PI in phi1 7.318 * [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 7.319 * [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 7.319 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 7.319 * [taylor]: Taking taylor expansion of 1/2 in phi1 7.319 * [taylor]: Taking taylor expansion of PI in phi1 7.319 * [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 7.321 * [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 7.321 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 7.321 * [taylor]: Taking taylor expansion of 1/2 in phi2 7.321 * [taylor]: Taking taylor expansion of PI in phi2 7.321 * [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 7.323 * [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 7.323 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 7.323 * [taylor]: Taking taylor expansion of 1/2 in lambda1 7.323 * [taylor]: Taking taylor expansion of PI in lambda1 7.323 * [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 7.325 * [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 7.325 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 7.325 * [taylor]: Taking taylor expansion of 1/2 in lambda2 7.325 * [taylor]: Taking taylor expansion of PI in lambda2 7.325 * [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 7.329 * [taylor]: Taking taylor expansion of 0 in phi2 7.329 * [taylor]: Taking taylor expansion of 0 in lambda1 7.329 * [taylor]: Taking taylor expansion of 0 in lambda2 7.330 * [taylor]: Taking taylor expansion of 0 in lambda1 7.330 * [taylor]: Taking taylor expansion of 0 in lambda2 7.331 * [taylor]: Taking taylor expansion of 0 in lambda2 7.333 * [taylor]: Taking taylor expansion of 0 in phi2 7.333 * [taylor]: Taking taylor expansion of 0 in lambda1 7.333 * [taylor]: Taking taylor expansion of 0 in lambda2 7.333 * [taylor]: Taking taylor expansion of 0 in lambda1 7.333 * [taylor]: Taking taylor expansion of 0 in lambda2 7.334 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 7.335 * [approximate]: Taking taylor expansion of (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 7.335 * [taylor]: Taking taylor expansion of (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 7.335 * [taylor]: Taking taylor expansion of (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 7.335 * [taylor]: Taking taylor expansion of (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 7.336 * [taylor]: Taking taylor expansion of (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 7.336 * [taylor]: Taking taylor expansion of (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 7.336 * [taylor]: Taking taylor expansion of (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) in phi2 7.337 * [taylor]: Taking taylor expansion of (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) in lambda1 7.337 * [taylor]: Taking taylor expansion of (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) in lambda2 7.338 * [taylor]: Taking taylor expansion of 0 in phi2 7.338 * [taylor]: Taking taylor expansion of 0 in lambda1 7.338 * [taylor]: Taking taylor expansion of 0 in lambda2 7.338 * [taylor]: Taking taylor expansion of 0 in lambda1 7.338 * [taylor]: Taking taylor expansion of 0 in lambda2 7.338 * [taylor]: Taking taylor expansion of 0 in lambda2 7.338 * [taylor]: Taking taylor expansion of 0 in phi2 7.338 * [taylor]: Taking taylor expansion of 0 in lambda1 7.338 * [taylor]: Taking taylor expansion of 0 in lambda2 7.338 * [taylor]: Taking taylor expansion of 0 in lambda1 7.338 * [taylor]: Taking taylor expansion of 0 in lambda2 7.339 * [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 7.339 * [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 7.339 * [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 7.340 * [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 7.340 * [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 7.341 * [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 7.341 * [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 7.342 * [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 7.342 * [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 7.343 * [taylor]: Taking taylor expansion of 0 in phi2 7.343 * [taylor]: Taking taylor expansion of 0 in lambda1 7.343 * [taylor]: Taking taylor expansion of 0 in lambda2 7.343 * [taylor]: Taking taylor expansion of 0 in lambda1 7.343 * [taylor]: Taking taylor expansion of 0 in lambda2 7.343 * [taylor]: Taking taylor expansion of 0 in lambda2 7.343 * [taylor]: Taking taylor expansion of 0 in phi2 7.343 * [taylor]: Taking taylor expansion of 0 in lambda1 7.343 * [taylor]: Taking taylor expansion of 0 in lambda2 7.343 * [taylor]: Taking taylor expansion of 0 in lambda1 7.343 * [taylor]: Taking taylor expansion of 0 in lambda2 7.345 * [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 7.345 * [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 7.345 * [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 7.346 * [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 7.346 * [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 7.347 * [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 7.347 * [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 7.348 * [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 7.348 * [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 7.349 * [taylor]: Taking taylor expansion of 0 in phi2 7.349 * [taylor]: Taking taylor expansion of 0 in lambda1 7.349 * [taylor]: Taking taylor expansion of 0 in lambda2 7.349 * [taylor]: Taking taylor expansion of 0 in lambda1 7.349 * [taylor]: Taking taylor expansion of 0 in lambda2 7.350 * [taylor]: Taking taylor expansion of 0 in lambda2 7.350 * [taylor]: Taking taylor expansion of 0 in phi2 7.350 * [taylor]: Taking taylor expansion of 0 in lambda1 7.350 * [taylor]: Taking taylor expansion of 0 in lambda2 7.350 * [taylor]: Taking taylor expansion of 0 in lambda1 7.350 * [taylor]: Taking taylor expansion of 0 in lambda2 7.350 * * * * [progress]: [ 3 / 4 ] generating series at (2) 7.351 * [approximate]: Taking taylor expansion of (* (- (* 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) in (phi1 phi2 lambda1 lambda2 R) around 0 7.351 * [taylor]: Taking taylor expansion of (* (- (* 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) in R 7.351 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in R 7.351 * [taylor]: Taking taylor expansion of (* 1/2 PI) in R 7.351 * [taylor]: Taking taylor expansion of 1/2 in R 7.351 * [taylor]: Taking taylor expansion of PI in R 7.351 * [taylor]: Taking taylor expansion of (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R 7.352 * [taylor]: Taking taylor expansion of R in R 7.352 * [taylor]: Taking taylor expansion of (* (- (* 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) in lambda2 7.352 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2 7.352 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 7.352 * [taylor]: Taking taylor expansion of 1/2 in lambda2 7.352 * [taylor]: Taking taylor expansion of PI in lambda2 7.352 * [taylor]: Taking taylor expansion of (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 7.352 * [taylor]: Taking taylor expansion of R in lambda2 7.352 * [taylor]: Taking taylor expansion of (* (- (* 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) in lambda1 7.352 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1 7.352 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 7.352 * [taylor]: Taking taylor expansion of 1/2 in lambda1 7.352 * [taylor]: Taking taylor expansion of PI in lambda1 7.352 * [taylor]: Taking taylor expansion of (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 7.353 * [taylor]: Taking taylor expansion of R in lambda1 7.353 * [taylor]: Taking taylor expansion of (* (- (* 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) in phi2 7.353 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2 7.353 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 7.353 * [taylor]: Taking taylor expansion of 1/2 in phi2 7.353 * [taylor]: Taking taylor expansion of PI in phi2 7.353 * [taylor]: Taking taylor expansion of (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 7.353 * [taylor]: Taking taylor expansion of R in phi2 7.353 * [taylor]: Taking taylor expansion of (* (- (* 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) in phi1 7.353 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1 7.353 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 7.353 * [taylor]: Taking taylor expansion of 1/2 in phi1 7.353 * [taylor]: Taking taylor expansion of PI in phi1 7.353 * [taylor]: Taking taylor expansion of (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 7.354 * [taylor]: Taking taylor expansion of R in phi1 7.354 * [taylor]: Taking taylor expansion of (* (- (* 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) in phi1 7.354 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1 7.354 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 7.354 * [taylor]: Taking taylor expansion of 1/2 in phi1 7.354 * [taylor]: Taking taylor expansion of PI in phi1 7.354 * [taylor]: Taking taylor expansion of (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 7.354 * [taylor]: Taking taylor expansion of R in phi1 7.359 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))))))) R) in phi2 7.359 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))))))) in phi2 7.359 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 7.359 * [taylor]: Taking taylor expansion of 1/2 in phi2 7.359 * [taylor]: Taking taylor expansion of PI in phi2 7.359 * [taylor]: Taking taylor expansion of (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) in phi2 7.359 * [taylor]: Taking taylor expansion of R in phi2 7.361 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))))))) R) in lambda1 7.361 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))))))) in lambda1 7.361 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 7.361 * [taylor]: Taking taylor expansion of 1/2 in lambda1 7.361 * [taylor]: Taking taylor expansion of PI in lambda1 7.361 * [taylor]: Taking taylor expansion of (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) in lambda1 7.362 * [taylor]: Taking taylor expansion of R in lambda1 7.364 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))))))) R) in lambda2 7.364 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))))))) in lambda2 7.364 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 7.364 * [taylor]: Taking taylor expansion of 1/2 in lambda2 7.364 * [taylor]: Taking taylor expansion of PI in lambda2 7.364 * [taylor]: Taking taylor expansion of (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) in lambda2 7.364 * [taylor]: Taking taylor expansion of R in lambda2 7.366 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))))))) R) in R 7.366 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))))))) in R 7.366 * [taylor]: Taking taylor expansion of (* 1/2 PI) in R 7.366 * [taylor]: Taking taylor expansion of 1/2 in R 7.366 * [taylor]: Taking taylor expansion of PI in R 7.366 * [taylor]: Taking taylor expansion of (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) in R 7.367 * [taylor]: Taking taylor expansion of R in R 7.370 * [taylor]: Taking taylor expansion of 0 in phi2 7.370 * [taylor]: Taking taylor expansion of 0 in lambda1 7.370 * [taylor]: Taking taylor expansion of 0 in lambda2 7.370 * [taylor]: Taking taylor expansion of 0 in R 7.372 * [taylor]: Taking taylor expansion of 0 in lambda1 7.372 * [taylor]: Taking taylor expansion of 0 in lambda2 7.372 * [taylor]: Taking taylor expansion of 0 in R 7.374 * [taylor]: Taking taylor expansion of 0 in lambda2 7.374 * [taylor]: Taking taylor expansion of 0 in R 7.375 * [taylor]: Taking taylor expansion of 0 in R 7.380 * [taylor]: Taking taylor expansion of 0 in phi2 7.380 * [taylor]: Taking taylor expansion of 0 in lambda1 7.380 * [taylor]: Taking taylor expansion of 0 in lambda2 7.380 * [taylor]: Taking taylor expansion of 0 in R 7.380 * [taylor]: Taking taylor expansion of 0 in lambda1 7.380 * [taylor]: Taking taylor expansion of 0 in lambda2 7.380 * [taylor]: Taking taylor expansion of 0 in R 7.382 * [taylor]: Taking taylor expansion of 0 in lambda1 7.382 * [taylor]: Taking taylor expansion of 0 in lambda2 7.382 * [taylor]: Taking taylor expansion of 0 in R 7.382 * [taylor]: Taking taylor expansion of 0 in lambda2 7.382 * [taylor]: Taking taylor expansion of 0 in R 7.382 * [taylor]: Taking taylor expansion of 0 in lambda2 7.382 * [taylor]: Taking taylor expansion of 0 in R 7.384 * [taylor]: Taking taylor expansion of 0 in lambda2 7.384 * [taylor]: Taking taylor expansion of 0 in R 7.386 * [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 7.386 * [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 7.386 * [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 7.386 * [taylor]: Taking taylor expansion of (* 1/2 PI) in R 7.386 * [taylor]: Taking taylor expansion of 1/2 in R 7.386 * [taylor]: Taking taylor expansion of PI in R 7.386 * [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 7.387 * [taylor]: Taking taylor expansion of R in R 7.389 * [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 7.389 * [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 7.389 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 7.389 * [taylor]: Taking taylor expansion of 1/2 in lambda2 7.389 * [taylor]: Taking taylor expansion of PI in lambda2 7.389 * [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 7.390 * [taylor]: Taking taylor expansion of R in lambda2 7.392 * [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 7.392 * [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 7.392 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 7.392 * [taylor]: Taking taylor expansion of 1/2 in lambda1 7.392 * [taylor]: Taking taylor expansion of PI in lambda1 7.392 * [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 7.393 * [taylor]: Taking taylor expansion of R in lambda1 7.395 * [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 7.395 * [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 7.395 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 7.395 * [taylor]: Taking taylor expansion of 1/2 in phi2 7.395 * [taylor]: Taking taylor expansion of PI in phi2 7.395 * [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 7.396 * [taylor]: Taking taylor expansion of R in phi2 7.398 * [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 7.398 * [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 7.398 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 7.398 * [taylor]: Taking taylor expansion of 1/2 in phi1 7.398 * [taylor]: Taking taylor expansion of PI in phi1 7.398 * [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 7.399 * [taylor]: Taking taylor expansion of R in phi1 7.401 * [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 7.401 * [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 7.401 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 7.402 * [taylor]: Taking taylor expansion of 1/2 in phi1 7.402 * [taylor]: Taking taylor expansion of PI in phi1 7.402 * [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 7.402 * [taylor]: Taking taylor expansion of R in phi1 7.405 * [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 7.405 * [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 7.405 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 7.405 * [taylor]: Taking taylor expansion of 1/2 in phi2 7.405 * [taylor]: Taking taylor expansion of PI in phi2 7.405 * [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 7.405 * [taylor]: Taking taylor expansion of R in phi2 7.408 * [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 7.408 * [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 7.408 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 7.408 * [taylor]: Taking taylor expansion of 1/2 in lambda1 7.408 * [taylor]: Taking taylor expansion of PI in lambda1 7.408 * [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 7.408 * [taylor]: Taking taylor expansion of R in lambda1 7.411 * [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 7.411 * [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 7.411 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 7.411 * [taylor]: Taking taylor expansion of 1/2 in lambda2 7.411 * [taylor]: Taking taylor expansion of PI in lambda2 7.411 * [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 7.411 * [taylor]: Taking taylor expansion of R in lambda2 7.414 * [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 7.414 * [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 7.414 * [taylor]: Taking taylor expansion of (* 1/2 PI) in R 7.414 * [taylor]: Taking taylor expansion of 1/2 in R 7.414 * [taylor]: Taking taylor expansion of PI in R 7.414 * [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 7.414 * [taylor]: Taking taylor expansion of R in R 7.420 * [taylor]: Taking taylor expansion of 0 in phi2 7.420 * [taylor]: Taking taylor expansion of 0 in lambda1 7.420 * [taylor]: Taking taylor expansion of 0 in lambda2 7.420 * [taylor]: Taking taylor expansion of 0 in R 7.422 * [taylor]: Taking taylor expansion of 0 in lambda1 7.422 * [taylor]: Taking taylor expansion of 0 in lambda2 7.422 * [taylor]: Taking taylor expansion of 0 in R 7.423 * [taylor]: Taking taylor expansion of 0 in lambda2 7.424 * [taylor]: Taking taylor expansion of 0 in R 7.425 * [taylor]: Taking taylor expansion of 0 in R 7.430 * [taylor]: Taking taylor expansion of 0 in phi2 7.430 * [taylor]: Taking taylor expansion of 0 in lambda1 7.430 * [taylor]: Taking taylor expansion of 0 in lambda2 7.430 * [taylor]: Taking taylor expansion of 0 in R 7.430 * [taylor]: Taking taylor expansion of 0 in lambda1 7.430 * [taylor]: Taking taylor expansion of 0 in lambda2 7.430 * [taylor]: Taking taylor expansion of 0 in R 7.432 * [taylor]: Taking taylor expansion of 0 in lambda1 7.432 * [taylor]: Taking taylor expansion of 0 in lambda2 7.432 * [taylor]: Taking taylor expansion of 0 in R 7.432 * [taylor]: Taking taylor expansion of 0 in lambda2 7.432 * [taylor]: Taking taylor expansion of 0 in R 7.432 * [taylor]: Taking taylor expansion of 0 in lambda2 7.432 * [taylor]: Taking taylor expansion of 0 in R 7.434 * [taylor]: Taking taylor expansion of 0 in lambda2 7.434 * [taylor]: Taking taylor expansion of 0 in R 7.434 * [taylor]: Taking taylor expansion of 0 in R 7.434 * [taylor]: Taking taylor expansion of 0 in R 7.434 * [taylor]: Taking taylor expansion of 0 in R 7.436 * [taylor]: Taking taylor expansion of 0 in R 7.443 * [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 7.443 * [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 7.443 * [taylor]: Taking taylor expansion of -1 in R 7.444 * [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 7.444 * [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 7.444 * [taylor]: Taking taylor expansion of (* 1/2 PI) in R 7.444 * [taylor]: Taking taylor expansion of 1/2 in R 7.444 * [taylor]: Taking taylor expansion of PI in R 7.444 * [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 7.444 * [taylor]: Taking taylor expansion of R in R 7.447 * [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 7.447 * [taylor]: Taking taylor expansion of -1 in lambda2 7.447 * [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 7.447 * [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 7.447 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 7.447 * [taylor]: Taking taylor expansion of 1/2 in lambda2 7.447 * [taylor]: Taking taylor expansion of PI in lambda2 7.447 * [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 7.447 * [taylor]: Taking taylor expansion of R in lambda2 7.450 * [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 7.450 * [taylor]: Taking taylor expansion of -1 in lambda1 7.450 * [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 7.450 * [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 7.450 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 7.450 * [taylor]: Taking taylor expansion of 1/2 in lambda1 7.450 * [taylor]: Taking taylor expansion of PI in lambda1 7.450 * [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 7.451 * [taylor]: Taking taylor expansion of R in lambda1 7.453 * [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 7.453 * [taylor]: Taking taylor expansion of -1 in phi2 7.453 * [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 7.453 * [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 7.453 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 7.453 * [taylor]: Taking taylor expansion of 1/2 in phi2 7.453 * [taylor]: Taking taylor expansion of PI in phi2 7.453 * [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 7.454 * [taylor]: Taking taylor expansion of R in phi2 7.456 * [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 7.456 * [taylor]: Taking taylor expansion of -1 in phi1 7.456 * [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 7.456 * [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 7.456 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 7.456 * [taylor]: Taking taylor expansion of 1/2 in phi1 7.456 * [taylor]: Taking taylor expansion of PI in phi1 7.456 * [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 7.457 * [taylor]: Taking taylor expansion of R in phi1 7.459 * [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 7.459 * [taylor]: Taking taylor expansion of -1 in phi1 7.459 * [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 7.459 * [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 7.459 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 7.459 * [taylor]: Taking taylor expansion of 1/2 in phi1 7.459 * [taylor]: Taking taylor expansion of PI in phi1 7.459 * [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 7.460 * [taylor]: Taking taylor expansion of R in phi1 7.463 * [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 7.463 * [taylor]: Taking taylor expansion of -1 in phi2 7.463 * [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 7.463 * [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 7.463 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 7.463 * [taylor]: Taking taylor expansion of 1/2 in phi2 7.463 * [taylor]: Taking taylor expansion of PI in phi2 7.463 * [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 7.464 * [taylor]: Taking taylor expansion of R in phi2 7.467 * [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 7.467 * [taylor]: Taking taylor expansion of -1 in lambda1 7.467 * [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 7.468 * [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 7.468 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 7.468 * [taylor]: Taking taylor expansion of 1/2 in lambda1 7.468 * [taylor]: Taking taylor expansion of PI in lambda1 7.468 * [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 7.468 * [taylor]: Taking taylor expansion of R in lambda1 7.471 * [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 7.471 * [taylor]: Taking taylor expansion of -1 in lambda2 7.471 * [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 7.471 * [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 7.471 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 7.472 * [taylor]: Taking taylor expansion of 1/2 in lambda2 7.472 * [taylor]: Taking taylor expansion of PI in lambda2 7.472 * [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 7.472 * [taylor]: Taking taylor expansion of R in lambda2 7.475 * [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 7.475 * [taylor]: Taking taylor expansion of -1 in R 7.475 * [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 7.475 * [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 7.475 * [taylor]: Taking taylor expansion of (* 1/2 PI) in R 7.475 * [taylor]: Taking taylor expansion of 1/2 in R 7.475 * [taylor]: Taking taylor expansion of PI in R 7.475 * [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 7.476 * [taylor]: Taking taylor expansion of R in R 7.483 * [taylor]: Taking taylor expansion of 0 in phi2 7.483 * [taylor]: Taking taylor expansion of 0 in lambda1 7.483 * [taylor]: Taking taylor expansion of 0 in lambda2 7.483 * [taylor]: Taking taylor expansion of 0 in R 7.486 * [taylor]: Taking taylor expansion of 0 in lambda1 7.486 * [taylor]: Taking taylor expansion of 0 in lambda2 7.486 * [taylor]: Taking taylor expansion of 0 in R 7.489 * [taylor]: Taking taylor expansion of 0 in lambda2 7.489 * [taylor]: Taking taylor expansion of 0 in R 7.492 * [taylor]: Taking taylor expansion of 0 in R 7.499 * [taylor]: Taking taylor expansion of 0 in phi2 7.499 * [taylor]: Taking taylor expansion of 0 in lambda1 7.499 * [taylor]: Taking taylor expansion of 0 in lambda2 7.499 * [taylor]: Taking taylor expansion of 0 in R 7.499 * [taylor]: Taking taylor expansion of 0 in lambda1 7.499 * [taylor]: Taking taylor expansion of 0 in lambda2 7.499 * [taylor]: Taking taylor expansion of 0 in R 7.503 * [taylor]: Taking taylor expansion of 0 in lambda1 7.503 * [taylor]: Taking taylor expansion of 0 in lambda2 7.503 * [taylor]: Taking taylor expansion of 0 in R 7.503 * [taylor]: Taking taylor expansion of 0 in lambda2 7.503 * [taylor]: Taking taylor expansion of 0 in R 7.503 * [taylor]: Taking taylor expansion of 0 in lambda2 7.503 * [taylor]: Taking taylor expansion of 0 in R 7.506 * [taylor]: Taking taylor expansion of 0 in lambda2 7.506 * [taylor]: Taking taylor expansion of 0 in R 7.506 * [taylor]: Taking taylor expansion of 0 in R 7.506 * [taylor]: Taking taylor expansion of 0 in R 7.506 * [taylor]: Taking taylor expansion of 0 in R 7.510 * [taylor]: Taking taylor expansion of 0 in R 7.515 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 2) 7.515 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 7.515 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 7.515 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 7.515 * [taylor]: Taking taylor expansion of phi1 in phi2 7.515 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 7.515 * [taylor]: Taking taylor expansion of phi2 in phi2 7.515 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 7.515 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 7.515 * [taylor]: Taking taylor expansion of phi1 in phi1 7.515 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 7.515 * [taylor]: Taking taylor expansion of phi2 in phi1 7.516 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 7.516 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 7.516 * [taylor]: Taking taylor expansion of phi1 in phi1 7.516 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 7.516 * [taylor]: Taking taylor expansion of phi2 in phi1 7.516 * [taylor]: Taking taylor expansion of 0 in phi2 7.518 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 7.518 * [taylor]: Taking taylor expansion of phi2 in phi2 7.523 * [taylor]: Taking taylor expansion of 0 in phi2 7.528 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 7.528 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 7.528 * [taylor]: Taking taylor expansion of 1/6 in phi2 7.528 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 7.528 * [taylor]: Taking taylor expansion of phi2 in phi2 7.534 * [taylor]: Taking taylor expansion of 0 in phi2 7.534 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 7.534 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 7.534 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 7.534 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 7.534 * [taylor]: Taking taylor expansion of phi1 in phi2 7.534 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 7.534 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 7.534 * [taylor]: Taking taylor expansion of phi2 in phi2 7.534 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 7.534 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 7.534 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 7.535 * [taylor]: Taking taylor expansion of phi1 in phi1 7.535 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 7.535 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 7.535 * [taylor]: Taking taylor expansion of phi2 in phi1 7.535 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 7.535 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 7.535 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 7.535 * [taylor]: Taking taylor expansion of phi1 in phi1 7.535 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 7.535 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 7.535 * [taylor]: Taking taylor expansion of phi2 in phi1 7.536 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 7.536 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 7.536 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 7.536 * [taylor]: Taking taylor expansion of phi1 in phi2 7.536 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 7.536 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 7.536 * [taylor]: Taking taylor expansion of phi2 in phi2 7.538 * [taylor]: Taking taylor expansion of 0 in phi2 7.542 * [taylor]: Taking taylor expansion of 0 in phi2 7.547 * [taylor]: Taking taylor expansion of 0 in phi2 7.547 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 7.547 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 7.547 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 7.547 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 7.547 * [taylor]: Taking taylor expansion of -1 in phi2 7.548 * [taylor]: Taking taylor expansion of phi1 in phi2 7.548 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 7.548 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 7.548 * [taylor]: Taking taylor expansion of -1 in phi2 7.548 * [taylor]: Taking taylor expansion of phi2 in phi2 7.548 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 7.548 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 7.548 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 7.548 * [taylor]: Taking taylor expansion of -1 in phi1 7.548 * [taylor]: Taking taylor expansion of phi1 in phi1 7.548 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 7.548 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 7.548 * [taylor]: Taking taylor expansion of -1 in phi1 7.548 * [taylor]: Taking taylor expansion of phi2 in phi1 7.549 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 7.549 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 7.549 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 7.549 * [taylor]: Taking taylor expansion of -1 in phi1 7.549 * [taylor]: Taking taylor expansion of phi1 in phi1 7.549 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 7.549 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 7.549 * [taylor]: Taking taylor expansion of -1 in phi1 7.549 * [taylor]: Taking taylor expansion of phi2 in phi1 7.549 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 7.549 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 7.549 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 7.549 * [taylor]: Taking taylor expansion of -1 in phi2 7.549 * [taylor]: Taking taylor expansion of phi1 in phi2 7.549 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 7.549 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 7.549 * [taylor]: Taking taylor expansion of -1 in phi2 7.550 * [taylor]: Taking taylor expansion of phi2 in phi2 7.552 * [taylor]: Taking taylor expansion of 0 in phi2 7.556 * [taylor]: Taking taylor expansion of 0 in phi2 7.561 * [taylor]: Taking taylor expansion of 0 in phi2 7.561 * * * [progress]: simplifying candidates 7.562 * [simplify]: Simplifying using # : (/ (exp (/ PI 2)) (exp (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) (log (- (/ PI 2) (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) (exp (- (/ PI 2) (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) (* (cbrt (- (/ PI 2) (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) (cbrt (- (/ PI 2) (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))))) (cbrt (- (/ PI 2) (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) (* (* (- (/ PI 2) (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (- (/ PI 2) (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) (- (/ PI 2) (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) (sqrt (- (/ PI 2) (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) (sqrt (- (/ PI 2) (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) (- (pow (/ PI 2) 3) (pow (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))) (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (* (/ PI 2) (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))))) (- (asin (+ (* 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(* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 7.568 * * [simplify]: iteration 0 : 144 enodes (cost 2372 ) 7.591 * * [simplify]: iteration 1 : 289 enodes (cost 2286 ) 7.638 * * [simplify]: iteration 2 : 697 enodes (cost 2036 ) 7.869 * * [simplify]: iteration 3 : 1707 enodes (cost 2030 ) 8.591 * * [simplify]: iteration 4 : 3648 enodes (cost 2030 ) 9.548 * * [simplify]: iteration done : 5001 enodes (cost 2030 ) 9.548 * [simplify]: Simplified to: (exp (- (/ PI 2) (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) (log (- (/ PI 2) (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) (exp (- (/ PI 2) (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos 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lambda2))))) (* (sin phi1) (sin phi2)))) 3) (sqrt (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (sqrt (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (* (- (/ PI 2) (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) R) (log (* (- (/ PI 2) (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) R)) (log (* (- (/ PI 2) (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) R)) (exp (* (- (/ PI 2) (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) R)) (pow (* (- (/ PI 2) (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) R) 3) (* (cbrt (* (- (/ PI 2) (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) R)) (cbrt (* (- (/ PI 2) (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) R))) (cbrt (* (- (/ PI 2) (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) R)) (pow (* (- (/ PI 2) (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) R) 3) (sqrt (* (- (/ PI 2) (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) R)) (sqrt (* (- (/ PI 2) (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) R)) (* (sqrt (- (/ PI 2) (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) (sqrt R)) (* (sqrt (- (/ PI 2) (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) (sqrt R)) (* (- (/ PI 2) (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (* (cbrt R) (cbrt R))) (* (- (/ PI 2) (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (sqrt R)) (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (* (cbrt (- (/ PI 2) (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) R) (* (sqrt (- (/ PI 2) (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) R) (* (- (/ PI 2) (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) R) (* (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) R) (* (- (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) R) (* (- (/ PI 2) (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) R) (* (- (pow (/ PI 2) 3) (pow (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))) 3)) R) (* (- (/ (* PI PI) 4) (* (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))) (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))) (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))) (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2)))) (* (- (/ PI 2) (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) R) (* (- (/ PI 2) (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) R) (* (- (/ PI 2) (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (sin phi2))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 9.549 * * * [progress]: adding candidates to table 9.923 * [progress]: [Phase 3 of 3] Extracting. 9.923 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # # #) 9.952 * * * [regime-changes]: Trying 5 branch expressions: (phi2 phi1 lambda2 lambda1 R) 9.952 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # # # # # # # # # # #) 10.083 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # # # # # # # # # # #) 10.216 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # # # # # # # # # # # #) 10.344 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # # # # # # # # # # #) 10.472 * * * * [regimes]: Trying to branch on R from (# # # # # # # # # # # # # # # # # #) 10.600 * * * [regime]: Found split indices: #