9.988 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.253 * * * [progress]: [2/2] Setting up program. 0.258 * [progress]: [Phase 2 of 3] Improving. 0.258 * [simplify]: Simplifying using # : (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.260 * * [simplify]: iteration 0 : 26 enodes (cost 12 ) 0.261 * * [simplify]: iteration 1 : 34 enodes (cost 12 ) 0.263 * * [simplify]: iteration 2 : 36 enodes (cost 12 ) 0.264 * * [simplify]: iteration 3 : 36 enodes (cost 12 ) 0.264 * [simplify]: Simplified to: (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.264 * * [progress]: iteration 1 / 4 0.264 * * * [progress]: picking best candidate 0.268 * * * * [pick]: Picked # 0.268 * * * [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 2) 0.316 * * * [progress]: generating series expansions 0.316 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 0.316 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 0.316 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 0.316 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 0.316 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.316 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.317 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.317 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.317 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.317 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.317 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.317 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.317 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.317 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.318 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.318 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.318 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.321 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 0.321 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 0.321 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.321 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.324 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 0.324 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 0.324 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.324 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.324 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.324 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.327 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 0.327 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.327 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 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 (/ 1 lambda2) in lambda2 0.327 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.328 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.328 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.328 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.328 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.328 * [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 (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.328 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 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 (/ 1 lambda2) in lambda1 0.329 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.329 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.329 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.329 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.329 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.329 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.329 * [taylor]: Taking taylor expansion of lambda2 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 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 0.330 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.330 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.330 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.330 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.331 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.331 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.331 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.331 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.331 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.331 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.331 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.331 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.332 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.332 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.332 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.332 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.332 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.332 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.333 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.333 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.333 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.333 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.333 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.333 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.334 * [taylor]: Taking taylor expansion of 0 in lambda2 0.334 * [taylor]: Taking taylor expansion of 0 in lambda2 0.334 * [taylor]: Taking taylor expansion of 0 in lambda2 0.334 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.334 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.334 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.334 * [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 phi2 0.335 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.335 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.335 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.335 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.336 * [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 0.338 * [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 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 0.342 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in 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 0.344 * [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 0.353 * [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 0.355 * [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 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))))))) 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 0.359 * [taylor]: Taking taylor expansion of 0 in lambda1 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 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 0.362 * [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 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 0.366 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda2 0.366 * [taylor]: Taking taylor expansion of -1 in lambda2 0.366 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda2 0.366 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 0.366 * [taylor]: Taking taylor expansion of R in lambda2 0.366 * [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 0.372 * [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 0.372 * [taylor]: Taking taylor expansion of -1 in R 0.372 * [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 0.372 * [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 0.379 * [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 0.380 * [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 0.382 * [taylor]: Taking taylor expansion of 0 in lambda2 0.382 * [taylor]: Taking taylor expansion of 0 in R 0.383 * [taylor]: Taking taylor expansion of 0 in R 0.386 * [taylor]: Taking taylor expansion of 0 in phi2 0.386 * [taylor]: Taking taylor expansion of 0 in lambda1 0.386 * [taylor]: Taking taylor expansion of 0 in lambda2 0.386 * [taylor]: Taking taylor expansion of 0 in R 0.386 * [taylor]: Taking taylor expansion of 0 in lambda1 0.386 * [taylor]: Taking taylor expansion of 0 in lambda2 0.386 * [taylor]: Taking taylor expansion of 0 in R 0.387 * [taylor]: Taking taylor expansion of 0 in lambda1 0.387 * [taylor]: Taking taylor expansion of 0 in lambda2 0.387 * [taylor]: Taking taylor expansion of 0 in R 0.387 * [taylor]: Taking taylor expansion of 0 in lambda2 0.387 * [taylor]: Taking taylor expansion of 0 in R 0.387 * [taylor]: Taking taylor expansion of 0 in lambda2 0.387 * [taylor]: Taking taylor expansion of 0 in R 0.388 * [taylor]: Taking taylor expansion of 0 in lambda2 0.388 * [taylor]: Taking taylor expansion of 0 in R 0.388 * [taylor]: Taking taylor expansion of 0 in R 0.388 * [taylor]: Taking taylor expansion of 0 in R 0.388 * [taylor]: Taking taylor expansion of 0 in R 0.390 * [taylor]: Taking taylor expansion of 0 in R 0.393 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 0.393 * [approximate]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))) in (phi1 phi2 lambda1 lambda2) around 0 0.393 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))) in lambda2 0.393 * [taylor]: Taking taylor expansion of (cos phi1) in lambda2 0.393 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.393 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos (- lambda1 lambda2))) in lambda2 0.393 * [taylor]: Taking taylor expansion of (cos phi2) in lambda2 0.393 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.393 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 0.393 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 0.393 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.393 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.393 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))) in lambda1 0.393 * [taylor]: Taking taylor expansion of (cos phi1) in lambda1 0.393 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.393 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos (- lambda1 lambda2))) in lambda1 0.393 * [taylor]: Taking taylor expansion of (cos phi2) in lambda1 0.393 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.393 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.393 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.393 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.394 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.394 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))) in phi2 0.394 * [taylor]: Taking taylor expansion of (cos phi1) in phi2 0.394 * [taylor]: Taking taylor expansion of phi1 in phi2 0.394 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos (- lambda1 lambda2))) in phi2 0.394 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 0.394 * [taylor]: Taking taylor expansion of phi2 in phi2 0.394 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi2 0.394 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi2 0.394 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.394 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.394 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))) in phi1 0.394 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 0.394 * [taylor]: Taking taylor expansion of phi1 in phi1 0.394 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos (- lambda1 lambda2))) in phi1 0.394 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 0.394 * [taylor]: Taking taylor expansion of phi2 in phi1 0.394 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi1 0.394 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi1 0.394 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.394 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.394 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))) in phi1 0.394 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 0.394 * [taylor]: Taking taylor expansion of phi1 in phi1 0.394 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos (- lambda1 lambda2))) in phi1 0.394 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 0.394 * [taylor]: Taking taylor expansion of phi2 in phi1 0.394 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi1 0.394 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi1 0.394 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.394 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.395 * [taylor]: Taking taylor expansion of (* (cos (- lambda1 lambda2)) (cos phi2)) in phi2 0.395 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi2 0.395 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi2 0.395 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.395 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.395 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 0.395 * [taylor]: Taking taylor expansion of phi2 in phi2 0.396 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.396 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.396 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.396 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.396 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.396 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.396 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.401 * [taylor]: Taking taylor expansion of 0 in phi2 0.401 * [taylor]: Taking taylor expansion of 0 in lambda1 0.401 * [taylor]: Taking taylor expansion of 0 in lambda2 0.404 * [taylor]: Taking taylor expansion of 0 in lambda1 0.404 * [taylor]: Taking taylor expansion of 0 in lambda2 0.406 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 0.406 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 0.406 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.406 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.413 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (cos (- lambda1 lambda2)) (cos phi2)))) in phi2 0.413 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos (- lambda1 lambda2)) (cos phi2))) in phi2 0.413 * [taylor]: Taking taylor expansion of 1/2 in phi2 0.413 * [taylor]: Taking taylor expansion of (* (cos (- lambda1 lambda2)) (cos phi2)) in phi2 0.413 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi2 0.413 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi2 0.413 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.413 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.413 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 0.413 * [taylor]: Taking taylor expansion of phi2 in phi2 0.414 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda1 lambda2)))) in lambda1 0.414 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda1 lambda2))) in lambda1 0.414 * [taylor]: Taking taylor expansion of 1/2 in lambda1 0.414 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.414 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.414 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.414 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.415 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 0.415 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 0.415 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.415 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.415 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.415 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.416 * [taylor]: Taking taylor expansion of 0 in lambda1 0.416 * [taylor]: Taking taylor expansion of 0 in lambda2 0.419 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda1 lambda2)))) in lambda1 0.419 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda1 lambda2))) in lambda1 0.419 * [taylor]: Taking taylor expansion of 1/2 in lambda1 0.419 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.419 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.419 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.420 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.420 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 0.420 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 0.420 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.420 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.420 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.420 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.422 * [approximate]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in (phi1 phi2 lambda1 lambda2) around 0 0.422 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in lambda2 0.422 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.422 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.422 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.422 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.422 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.422 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.423 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in lambda2 0.423 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 0.423 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 0.423 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.423 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 0.423 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 0.423 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.423 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in lambda1 0.423 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.423 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.423 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.423 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.424 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.424 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.424 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in lambda1 0.424 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 0.424 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 0.424 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.424 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 0.424 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 0.424 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.424 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in phi2 0.424 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in phi2 0.424 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2 0.424 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 0.424 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.424 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 0.424 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.425 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in phi2 0.425 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 0.425 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.425 * [taylor]: Taking taylor expansion of phi2 in phi2 0.425 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 0.425 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.425 * [taylor]: Taking taylor expansion of phi1 in phi2 0.425 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in phi1 0.425 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in phi1 0.425 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1 0.425 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 0.425 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.425 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 0.425 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.425 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in phi1 0.425 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 0.425 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.425 * [taylor]: Taking taylor expansion of phi2 in phi1 0.426 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 0.426 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.426 * [taylor]: Taking taylor expansion of phi1 in phi1 0.426 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in phi1 0.426 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in phi1 0.426 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1 0.426 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 0.426 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.426 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 0.426 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.426 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in phi1 0.426 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 0.426 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.426 * [taylor]: Taking taylor expansion of phi2 in phi1 0.426 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 0.426 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.426 * [taylor]: Taking taylor expansion of phi1 in phi1 0.428 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) in phi2 0.428 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 0.428 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.428 * [taylor]: Taking taylor expansion of phi1 in phi2 0.428 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2)))) in phi2 0.428 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 0.428 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.428 * [taylor]: Taking taylor expansion of phi2 in phi2 0.428 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in phi2 0.428 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2 0.428 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 0.428 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.428 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 0.428 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.430 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in lambda1 0.430 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.430 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.430 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.430 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.430 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.430 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.430 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in lambda1 0.430 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 0.431 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 0.431 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.431 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 0.431 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 0.431 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.432 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) in lambda2 0.432 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 0.432 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 0.432 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.432 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2)))) in lambda2 0.432 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 0.432 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 0.432 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.432 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.432 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.432 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.432 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.432 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.432 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.439 * [taylor]: Taking taylor expansion of 0 in phi2 0.439 * [taylor]: Taking taylor expansion of 0 in lambda1 0.439 * [taylor]: Taking taylor expansion of 0 in lambda2 0.443 * [taylor]: Taking taylor expansion of 0 in lambda1 0.444 * [taylor]: Taking taylor expansion of 0 in lambda2 0.447 * [taylor]: Taking taylor expansion of 0 in lambda2 0.457 * [taylor]: Taking taylor expansion of 0 in phi2 0.457 * [taylor]: Taking taylor expansion of 0 in lambda1 0.457 * [taylor]: Taking taylor expansion of 0 in lambda2 0.457 * [taylor]: Taking taylor expansion of 0 in lambda1 0.457 * [taylor]: Taking taylor expansion of 0 in lambda2 0.458 * [approximate]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in (phi1 phi2 lambda1 lambda2) around 0 0.458 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda2 0.458 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 0.458 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 0.458 * [taylor]: Taking taylor expansion of -1 in lambda2 0.458 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.458 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda2 0.458 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 0.458 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 0.458 * [taylor]: Taking taylor expansion of -1 in lambda2 0.458 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.458 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.458 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.458 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.458 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.459 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.459 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.459 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda1 0.459 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 0.459 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 0.459 * [taylor]: Taking taylor expansion of -1 in lambda1 0.459 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.459 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda1 0.459 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 0.459 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 0.459 * [taylor]: Taking taylor expansion of -1 in lambda1 0.459 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.459 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.459 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.459 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.459 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.459 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.459 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.460 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi2 0.460 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 0.460 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.460 * [taylor]: Taking taylor expansion of -1 in phi2 0.460 * [taylor]: Taking taylor expansion of phi1 in phi2 0.460 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in phi2 0.460 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 0.460 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.460 * [taylor]: Taking taylor expansion of -1 in phi2 0.460 * [taylor]: Taking taylor expansion of phi2 in phi2 0.461 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in phi2 0.461 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi2 0.461 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 0.461 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.461 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 0.461 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.461 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi1 0.461 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 0.461 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.461 * [taylor]: Taking taylor expansion of -1 in phi1 0.461 * [taylor]: Taking taylor expansion of phi1 in phi1 0.461 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in phi1 0.461 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 0.462 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.462 * [taylor]: Taking taylor expansion of -1 in phi1 0.462 * [taylor]: Taking taylor expansion of phi2 in phi1 0.462 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in phi1 0.462 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi1 0.462 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 0.462 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.462 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 0.462 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.462 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi1 0.462 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 0.462 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.462 * [taylor]: Taking taylor expansion of -1 in phi1 0.462 * [taylor]: Taking taylor expansion of phi1 in phi1 0.462 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in phi1 0.462 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 0.462 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.462 * [taylor]: Taking taylor expansion of -1 in phi1 0.462 * [taylor]: Taking taylor expansion of phi2 in phi1 0.463 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in phi1 0.463 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi1 0.463 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 0.463 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.463 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 0.463 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.464 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi2 0.464 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 0.464 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.464 * [taylor]: Taking taylor expansion of -1 in phi2 0.464 * [taylor]: Taking taylor expansion of phi1 in phi2 0.464 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in phi2 0.464 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 0.464 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.464 * [taylor]: Taking taylor expansion of -1 in phi2 0.464 * [taylor]: Taking taylor expansion of phi2 in phi2 0.465 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in phi2 0.465 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi2 0.465 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 0.465 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.465 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 0.465 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.466 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda1 0.466 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 0.466 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 0.466 * [taylor]: Taking taylor expansion of -1 in lambda1 0.466 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.466 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda1 0.466 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 0.466 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 0.466 * [taylor]: Taking taylor expansion of -1 in lambda1 0.466 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.466 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.466 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.466 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.466 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.466 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.466 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.468 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda2 0.468 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 0.468 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 0.468 * [taylor]: Taking taylor expansion of -1 in lambda2 0.468 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.468 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda2 0.468 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 0.468 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 0.468 * [taylor]: Taking taylor expansion of -1 in lambda2 0.468 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.468 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.468 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.468 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.468 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.469 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.469 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.480 * [taylor]: Taking taylor expansion of 0 in phi2 0.480 * [taylor]: Taking taylor expansion of 0 in lambda1 0.480 * [taylor]: Taking taylor expansion of 0 in lambda2 0.484 * [taylor]: Taking taylor expansion of 0 in lambda1 0.484 * [taylor]: Taking taylor expansion of 0 in lambda2 0.489 * [taylor]: Taking taylor expansion of 0 in lambda2 0.499 * [taylor]: Taking taylor expansion of 0 in phi2 0.499 * [taylor]: Taking taylor expansion of 0 in lambda1 0.499 * [taylor]: Taking taylor expansion of 0 in lambda2 0.499 * [taylor]: Taking taylor expansion of 0 in lambda1 0.499 * [taylor]: Taking taylor expansion of 0 in lambda2 0.499 * * * [progress]: simplifying candidates 0.500 * [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) (cos phi2)) (cos (- lambda1 lambda2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))) (+ (+ (log (cos phi1)) (log (cos phi2))) (log (cos (- lambda1 lambda2)))) (+ (log (* (cos phi1) (cos phi2))) (log (cos (- lambda1 lambda2)))) (log (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (exp (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (* (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2)))) (* (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2)))) (* (cbrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (cbrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (cbrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (* (* (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (sqrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (sqrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))) (* (* (cos phi1) (cos phi2)) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2))))) (* (* (cos phi1) (cos phi2)) (sqrt (cos (- lambda1 lambda2)))) (* (* (cos phi1) (cos phi2)) 1) (* (cos phi2) (cos (- lambda1 lambda2))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (cos (- lambda1 lambda2))) (- (+ 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) (- 1 (+ (* 1/2 (pow phi1 2)) (* 1/2 (pow phi2 2)))) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 0.505 * * [simplify]: iteration 0 : 264 enodes (cost 773 ) 0.510 * * [simplify]: iteration 1 : 1022 enodes (cost 656 ) 0.532 * * [simplify]: iteration 2 : 4705 enodes (cost 656 ) 0.605 * * [simplify]: iteration 3 : 5002 enodes (cost 656 ) 0.608 * [simplify]: Simplified to: (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)) (log (cos (- lambda1 lambda2))) (exp (cos (- lambda1 lambda2))) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))) (pow (cos (- lambda1 lambda2)) 3) (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (log (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (log (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (log (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (exp (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (pow (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3) (pow (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3) (* (cbrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (cbrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (cbrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (pow (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3) (sqrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (sqrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2))))) (* (* (cos phi1) (cos phi2)) (sqrt (cos (- lambda1 lambda2)))) (* (cos phi1) (cos phi2)) (* (cos phi2) (cos (- lambda1 lambda2))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (cos (- lambda1 lambda2))) (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (- 1 (+ (* 1/2 (pow phi1 2)) (* 1/2 (pow phi2 2)))) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 0.608 * * * [progress]: adding candidates to table 0.893 * * [progress]: iteration 2 / 4 0.893 * * * [progress]: picking best candidate 0.965 * * * * [pick]: Picked # 0.965 * * * [progress]: localizing error 0.998 * * * [progress]: generating rewritten candidates 0.998 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.000 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 2) 1.008 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.014 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 2) 1.021 * * * [progress]: generating series expansions 1.021 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.022 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.022 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.022 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.022 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.023 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.023 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.024 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.024 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.024 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.025 * [taylor]: Taking taylor expansion of 0 in phi2 1.025 * [taylor]: Taking taylor expansion of 0 in lambda1 1.025 * [taylor]: Taking taylor expansion of 0 in lambda2 1.025 * [taylor]: Taking taylor expansion of 0 in lambda1 1.025 * [taylor]: Taking taylor expansion of 0 in lambda2 1.025 * [taylor]: Taking taylor expansion of 0 in lambda2 1.025 * [taylor]: Taking taylor expansion of 0 in phi2 1.025 * [taylor]: Taking taylor expansion of 0 in lambda1 1.025 * [taylor]: Taking taylor expansion of 0 in lambda2 1.025 * [taylor]: Taking taylor expansion of 0 in lambda1 1.025 * [taylor]: Taking taylor expansion of 0 in lambda2 1.026 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.026 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.027 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.027 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.028 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.028 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.029 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.029 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.030 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.031 * [taylor]: Taking taylor expansion of 0 in phi2 1.031 * [taylor]: Taking taylor expansion of 0 in lambda1 1.031 * [taylor]: Taking taylor expansion of 0 in lambda2 1.031 * [taylor]: Taking taylor expansion of 0 in lambda1 1.031 * [taylor]: Taking taylor expansion of 0 in lambda2 1.031 * [taylor]: Taking taylor expansion of 0 in lambda2 1.031 * [taylor]: Taking taylor expansion of 0 in phi2 1.031 * [taylor]: Taking taylor expansion of 0 in lambda1 1.031 * [taylor]: Taking taylor expansion of 0 in lambda2 1.031 * [taylor]: Taking taylor expansion of 0 in lambda1 1.031 * [taylor]: Taking taylor expansion of 0 in lambda2 1.032 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 1.032 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.033 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.033 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.034 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.034 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.035 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.035 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.036 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.037 * [taylor]: Taking taylor expansion of 0 in phi2 1.037 * [taylor]: Taking taylor expansion of 0 in lambda1 1.037 * [taylor]: Taking taylor expansion of 0 in lambda2 1.037 * [taylor]: Taking taylor expansion of 0 in lambda1 1.037 * [taylor]: Taking taylor expansion of 0 in lambda2 1.037 * [taylor]: Taking taylor expansion of 0 in lambda2 1.037 * [taylor]: Taking taylor expansion of 0 in phi2 1.037 * [taylor]: Taking taylor expansion of 0 in lambda1 1.037 * [taylor]: Taking taylor expansion of 0 in lambda2 1.037 * [taylor]: Taking taylor expansion of 0 in lambda1 1.037 * [taylor]: Taking taylor expansion of 0 in lambda2 1.038 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 2) 1.038 * [approximate]: Taking taylor expansion of (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) in (phi1 phi2 lambda1 lambda2) around 0 1.038 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) in lambda2 1.038 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 1.038 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.038 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (sin lambda2))) in lambda2 1.038 * [taylor]: Taking taylor expansion of (cos phi1) in lambda2 1.038 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.038 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in lambda2 1.038 * [taylor]: Taking taylor expansion of (cos phi2) in lambda2 1.038 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.038 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.038 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.038 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) in lambda1 1.038 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.038 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.038 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (sin lambda2))) in lambda1 1.038 * [taylor]: Taking taylor expansion of (cos phi1) in lambda1 1.038 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.038 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in lambda1 1.038 * [taylor]: Taking taylor expansion of (cos phi2) in lambda1 1.038 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.038 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.038 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.038 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) in phi2 1.038 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 1.038 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.038 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (sin lambda2))) in phi2 1.038 * [taylor]: Taking taylor expansion of (cos phi1) in phi2 1.038 * [taylor]: Taking taylor expansion of phi1 in phi2 1.038 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in phi2 1.038 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 1.038 * [taylor]: Taking taylor expansion of phi2 in phi2 1.038 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 1.038 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.039 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) in phi1 1.039 * [taylor]: Taking taylor expansion of (sin lambda1) in phi1 1.039 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.039 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (sin lambda2))) in phi1 1.039 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 1.039 * [taylor]: Taking taylor expansion of phi1 in phi1 1.039 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in phi1 1.039 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 1.039 * [taylor]: Taking taylor expansion of phi2 in phi1 1.039 * [taylor]: Taking taylor expansion of (sin lambda2) in phi1 1.039 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.039 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) in phi1 1.039 * [taylor]: Taking taylor expansion of (sin lambda1) in phi1 1.039 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.039 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (sin lambda2))) in phi1 1.039 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 1.039 * [taylor]: Taking taylor expansion of phi1 in phi1 1.039 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in phi1 1.039 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 1.039 * [taylor]: Taking taylor expansion of phi2 in phi1 1.039 * [taylor]: Taking taylor expansion of (sin lambda2) in phi1 1.039 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.040 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi2) (sin lambda2))) in phi2 1.040 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 1.040 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.040 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in phi2 1.040 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 1.040 * [taylor]: Taking taylor expansion of phi2 in phi2 1.040 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 1.040 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.041 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.041 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.041 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.041 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.041 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.041 * [taylor]: Taking taylor expansion of 0 in lambda2 1.046 * [taylor]: Taking taylor expansion of 0 in phi2 1.046 * [taylor]: Taking taylor expansion of 0 in lambda1 1.046 * [taylor]: Taking taylor expansion of 0 in lambda2 1.049 * [taylor]: Taking taylor expansion of 0 in lambda1 1.050 * [taylor]: Taking taylor expansion of 0 in lambda2 1.052 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.052 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.059 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sin lambda1) (* (cos phi2) (sin lambda2))))) in phi2 1.059 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (* (cos phi2) (sin lambda2)))) in phi2 1.059 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.059 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi2) (sin lambda2))) in phi2 1.060 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 1.060 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.060 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in phi2 1.060 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 1.060 * [taylor]: Taking taylor expansion of phi2 in phi2 1.060 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 1.060 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.060 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sin lambda1) (sin lambda2)))) in lambda1 1.060 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (sin lambda2))) in lambda1 1.060 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.060 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.060 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.060 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.060 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.060 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.061 * [taylor]: Taking taylor expansion of 0 in lambda2 1.061 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) in (phi1 phi2 lambda1 lambda2) around 0 1.061 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) in lambda2 1.061 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.061 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.061 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.061 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in lambda2 1.061 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.061 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.061 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.061 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in lambda2 1.062 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 1.062 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.062 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.062 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 1.062 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.062 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.062 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) in lambda1 1.062 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.062 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.062 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.062 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in lambda1 1.062 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.062 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.062 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.062 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in lambda1 1.062 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 1.062 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.062 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.062 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 1.062 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.062 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.062 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) in phi2 1.062 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi2 1.063 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.063 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.063 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in phi2 1.063 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi2 1.063 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.063 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.063 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in phi2 1.063 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 1.063 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.063 * [taylor]: Taking taylor expansion of phi2 in phi2 1.063 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 1.063 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.063 * [taylor]: Taking taylor expansion of phi1 in phi2 1.063 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) in phi1 1.063 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi1 1.063 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.063 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.063 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in phi1 1.063 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi1 1.063 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.063 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.063 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in phi1 1.063 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 1.063 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.064 * [taylor]: Taking taylor expansion of phi2 in phi1 1.064 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 1.064 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.064 * [taylor]: Taking taylor expansion of phi1 in phi1 1.064 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) in phi1 1.064 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi1 1.064 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.064 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.064 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in phi1 1.064 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi1 1.064 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.064 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.064 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in phi1 1.064 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 1.064 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.064 * [taylor]: Taking taylor expansion of phi2 in phi1 1.064 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 1.064 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.064 * [taylor]: Taking taylor expansion of phi1 in phi1 1.066 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) in phi2 1.066 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi2 1.066 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.066 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.066 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1)))) in phi2 1.066 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 1.066 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.066 * [taylor]: Taking taylor expansion of phi2 in phi2 1.066 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))) in phi2 1.066 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi2 1.066 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.066 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.066 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 1.066 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.066 * [taylor]: Taking taylor expansion of phi1 in phi2 1.067 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) in lambda1 1.067 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.067 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.067 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.067 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in lambda1 1.067 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.067 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.067 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.068 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in lambda1 1.068 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 1.068 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.068 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.068 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 1.068 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.068 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.069 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) in lambda2 1.069 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.069 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.069 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.069 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1)))) in lambda2 1.069 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 1.069 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.069 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.069 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))) in lambda2 1.069 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.069 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.069 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.069 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 1.070 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.070 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.076 * [taylor]: Taking taylor expansion of 0 in phi2 1.076 * [taylor]: Taking taylor expansion of 0 in lambda1 1.076 * [taylor]: Taking taylor expansion of 0 in lambda2 1.081 * [taylor]: Taking taylor expansion of 0 in lambda1 1.081 * [taylor]: Taking taylor expansion of 0 in lambda2 1.086 * [taylor]: Taking taylor expansion of 0 in lambda2 1.103 * [taylor]: Taking taylor expansion of 0 in phi2 1.103 * [taylor]: Taking taylor expansion of 0 in lambda1 1.103 * [taylor]: Taking taylor expansion of 0 in lambda2 1.103 * [taylor]: Taking taylor expansion of 0 in lambda1 1.103 * [taylor]: Taking taylor expansion of 0 in lambda2 1.103 * [approximate]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in (phi1 phi2 lambda1 lambda2) around 0 1.103 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in lambda2 1.103 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 1.103 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 1.103 * [taylor]: Taking taylor expansion of -1 in lambda2 1.103 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.103 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in lambda2 1.103 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.103 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.103 * [taylor]: Taking taylor expansion of -1 in lambda2 1.103 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.104 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in lambda2 1.104 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 1.104 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 1.104 * [taylor]: Taking taylor expansion of -1 in lambda2 1.104 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.104 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.104 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.104 * [taylor]: Taking taylor expansion of -1 in lambda2 1.104 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.104 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in lambda1 1.104 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 1.104 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 1.104 * [taylor]: Taking taylor expansion of -1 in lambda1 1.104 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.104 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in lambda1 1.104 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.104 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.104 * [taylor]: Taking taylor expansion of -1 in lambda1 1.104 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.105 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in lambda1 1.105 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 1.105 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 1.105 * [taylor]: Taking taylor expansion of -1 in lambda1 1.105 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.105 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.105 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.105 * [taylor]: Taking taylor expansion of -1 in lambda1 1.105 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.105 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in phi2 1.105 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 1.105 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.105 * [taylor]: Taking taylor expansion of -1 in phi2 1.105 * [taylor]: Taking taylor expansion of phi1 in phi2 1.105 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in phi2 1.105 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi2 1.105 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 1.105 * [taylor]: Taking taylor expansion of -1 in phi2 1.105 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.105 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in phi2 1.105 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 1.105 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.105 * [taylor]: Taking taylor expansion of -1 in phi2 1.105 * [taylor]: Taking taylor expansion of phi2 in phi2 1.106 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi2 1.106 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 1.106 * [taylor]: Taking taylor expansion of -1 in phi2 1.106 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.106 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in phi1 1.106 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 1.106 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.106 * [taylor]: Taking taylor expansion of -1 in phi1 1.106 * [taylor]: Taking taylor expansion of phi1 in phi1 1.106 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in phi1 1.106 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi1 1.106 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 1.106 * [taylor]: Taking taylor expansion of -1 in phi1 1.106 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.106 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in phi1 1.106 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 1.106 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.106 * [taylor]: Taking taylor expansion of -1 in phi1 1.106 * [taylor]: Taking taylor expansion of phi2 in phi1 1.106 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi1 1.106 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 1.106 * [taylor]: Taking taylor expansion of -1 in phi1 1.106 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.107 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in phi1 1.107 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 1.107 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.107 * [taylor]: Taking taylor expansion of -1 in phi1 1.107 * [taylor]: Taking taylor expansion of phi1 in phi1 1.107 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in phi1 1.107 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi1 1.107 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 1.107 * [taylor]: Taking taylor expansion of -1 in phi1 1.107 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.107 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in phi1 1.107 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 1.107 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.107 * [taylor]: Taking taylor expansion of -1 in phi1 1.107 * [taylor]: Taking taylor expansion of phi2 in phi1 1.107 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi1 1.107 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 1.107 * [taylor]: Taking taylor expansion of -1 in phi1 1.107 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.108 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in phi2 1.108 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 1.108 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.108 * [taylor]: Taking taylor expansion of -1 in phi2 1.108 * [taylor]: Taking taylor expansion of phi1 in phi2 1.109 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in phi2 1.109 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi2 1.109 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 1.109 * [taylor]: Taking taylor expansion of -1 in phi2 1.109 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.109 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in phi2 1.109 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 1.109 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.109 * [taylor]: Taking taylor expansion of -1 in phi2 1.109 * [taylor]: Taking taylor expansion of phi2 in phi2 1.109 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi2 1.109 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 1.109 * [taylor]: Taking taylor expansion of -1 in phi2 1.109 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.110 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in lambda1 1.110 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 1.110 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 1.110 * [taylor]: Taking taylor expansion of -1 in lambda1 1.110 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.110 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in lambda1 1.110 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.110 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.110 * [taylor]: Taking taylor expansion of -1 in lambda1 1.110 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.111 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in lambda1 1.111 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 1.111 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 1.111 * [taylor]: Taking taylor expansion of -1 in lambda1 1.111 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.111 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.111 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.111 * [taylor]: Taking taylor expansion of -1 in lambda1 1.111 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.112 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in lambda2 1.112 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 1.112 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 1.112 * [taylor]: Taking taylor expansion of -1 in lambda2 1.112 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.112 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in lambda2 1.112 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.112 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.112 * [taylor]: Taking taylor expansion of -1 in lambda2 1.112 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.112 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in lambda2 1.112 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 1.112 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 1.112 * [taylor]: Taking taylor expansion of -1 in lambda2 1.112 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.112 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.112 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.112 * [taylor]: Taking taylor expansion of -1 in lambda2 1.112 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.119 * [taylor]: Taking taylor expansion of 0 in phi2 1.119 * [taylor]: Taking taylor expansion of 0 in lambda1 1.119 * [taylor]: Taking taylor expansion of 0 in lambda2 1.124 * [taylor]: Taking taylor expansion of 0 in lambda1 1.124 * [taylor]: Taking taylor expansion of 0 in lambda2 1.130 * [taylor]: Taking taylor expansion of 0 in lambda2 1.142 * [taylor]: Taking taylor expansion of 0 in phi2 1.142 * [taylor]: Taking taylor expansion of 0 in lambda1 1.142 * [taylor]: Taking taylor expansion of 0 in lambda2 1.142 * [taylor]: Taking taylor expansion of 0 in lambda1 1.142 * [taylor]: Taking taylor expansion of 0 in lambda2 1.143 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.143 * [approximate]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 1.143 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R 1.143 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 1.143 * [taylor]: Taking taylor expansion of R in R 1.143 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2 1.144 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.144 * [taylor]: Taking taylor expansion of R in lambda2 1.144 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1 1.144 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.144 * [taylor]: Taking taylor expansion of R in lambda1 1.144 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2 1.144 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.145 * [taylor]: Taking taylor expansion of R in phi2 1.145 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1 1.145 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.145 * [taylor]: Taking taylor expansion of R in phi1 1.145 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1 1.145 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.145 * [taylor]: Taking taylor expansion of R in phi1 1.146 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2 1.146 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.146 * [taylor]: Taking taylor expansion of R in phi2 1.147 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1 1.147 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.147 * [taylor]: Taking taylor expansion of R in lambda1 1.147 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2 1.147 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.148 * [taylor]: Taking taylor expansion of R in lambda2 1.148 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R 1.148 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 1.149 * [taylor]: Taking taylor expansion of R in R 1.149 * [taylor]: Taking taylor expansion of 0 in phi2 1.149 * [taylor]: Taking taylor expansion of 0 in lambda1 1.149 * [taylor]: Taking taylor expansion of 0 in lambda2 1.149 * [taylor]: Taking taylor expansion of 0 in R 1.150 * [taylor]: Taking taylor expansion of 0 in lambda1 1.150 * [taylor]: Taking taylor expansion of 0 in lambda2 1.150 * [taylor]: Taking taylor expansion of 0 in R 1.150 * [taylor]: Taking taylor expansion of 0 in lambda2 1.150 * [taylor]: Taking taylor expansion of 0 in R 1.151 * [taylor]: Taking taylor expansion of 0 in R 1.152 * [taylor]: Taking taylor expansion of 0 in phi2 1.152 * [taylor]: Taking taylor expansion of 0 in lambda1 1.153 * [taylor]: Taking taylor expansion of 0 in lambda2 1.153 * [taylor]: Taking taylor expansion of 0 in R 1.153 * [taylor]: Taking taylor expansion of 0 in lambda1 1.153 * [taylor]: Taking taylor expansion of 0 in lambda2 1.153 * [taylor]: Taking taylor expansion of 0 in R 1.153 * [taylor]: Taking taylor expansion of 0 in lambda1 1.153 * [taylor]: Taking taylor expansion of 0 in lambda2 1.153 * [taylor]: Taking taylor expansion of 0 in R 1.153 * [taylor]: Taking taylor expansion of 0 in lambda2 1.153 * [taylor]: Taking taylor expansion of 0 in R 1.153 * [taylor]: Taking taylor expansion of 0 in lambda2 1.153 * [taylor]: Taking taylor expansion of 0 in R 1.154 * [taylor]: Taking taylor expansion of 0 in lambda2 1.154 * [taylor]: Taking taylor expansion of 0 in R 1.155 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 1.156 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 1.156 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 1.156 * [taylor]: Taking taylor expansion of R in R 1.157 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 1.157 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.157 * [taylor]: Taking taylor expansion of R in lambda2 1.158 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 1.158 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.158 * [taylor]: Taking taylor expansion of R in lambda1 1.159 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 1.159 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.159 * [taylor]: Taking taylor expansion of R in phi2 1.160 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 1.160 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.160 * [taylor]: Taking taylor expansion of R in phi1 1.161 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 1.161 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.161 * [taylor]: Taking taylor expansion of R in phi1 1.162 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 1.162 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.162 * [taylor]: Taking taylor expansion of R in phi2 1.163 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 1.163 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.163 * [taylor]: Taking taylor expansion of R in lambda1 1.164 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 1.164 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.164 * [taylor]: Taking taylor expansion of R in lambda2 1.165 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 1.165 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 1.165 * [taylor]: Taking taylor expansion of R in R 1.167 * [taylor]: Taking taylor expansion of 0 in phi2 1.167 * [taylor]: Taking taylor expansion of 0 in lambda1 1.167 * [taylor]: Taking taylor expansion of 0 in lambda2 1.167 * [taylor]: Taking taylor expansion of 0 in R 1.168 * [taylor]: Taking taylor expansion of 0 in lambda1 1.168 * [taylor]: Taking taylor expansion of 0 in lambda2 1.168 * [taylor]: Taking taylor expansion of 0 in R 1.168 * [taylor]: Taking taylor expansion of 0 in lambda2 1.168 * [taylor]: Taking taylor expansion of 0 in R 1.169 * [taylor]: Taking taylor expansion of 0 in R 1.171 * [taylor]: Taking taylor expansion of 0 in phi2 1.171 * [taylor]: Taking taylor expansion of 0 in lambda1 1.171 * [taylor]: Taking taylor expansion of 0 in lambda2 1.171 * [taylor]: Taking taylor expansion of 0 in R 1.171 * [taylor]: Taking taylor expansion of 0 in lambda1 1.171 * [taylor]: Taking taylor expansion of 0 in lambda2 1.171 * [taylor]: Taking taylor expansion of 0 in R 1.171 * [taylor]: Taking taylor expansion of 0 in lambda1 1.171 * [taylor]: Taking taylor expansion of 0 in lambda2 1.171 * [taylor]: Taking taylor expansion of 0 in R 1.171 * [taylor]: Taking taylor expansion of 0 in lambda2 1.171 * [taylor]: Taking taylor expansion of 0 in R 1.172 * [taylor]: Taking taylor expansion of 0 in lambda2 1.172 * [taylor]: Taking taylor expansion of 0 in R 1.172 * [taylor]: Taking taylor expansion of 0 in lambda2 1.172 * [taylor]: Taking taylor expansion of 0 in R 1.172 * [taylor]: Taking taylor expansion of 0 in R 1.172 * [taylor]: Taking taylor expansion of 0 in R 1.172 * [taylor]: Taking taylor expansion of 0 in R 1.173 * [taylor]: Taking taylor expansion of 0 in R 1.176 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 1.176 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 1.176 * [taylor]: Taking taylor expansion of -1 in R 1.176 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 1.176 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 1.177 * [taylor]: Taking taylor expansion of R in R 1.177 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 1.177 * [taylor]: Taking taylor expansion of -1 in lambda2 1.177 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 1.177 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.178 * [taylor]: Taking taylor expansion of R in lambda2 1.178 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 1.178 * [taylor]: Taking taylor expansion of -1 in lambda1 1.178 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 1.178 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.179 * [taylor]: Taking taylor expansion of R in lambda1 1.179 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 1.179 * [taylor]: Taking taylor expansion of -1 in phi2 1.179 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 1.179 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.180 * [taylor]: Taking taylor expansion of R in phi2 1.180 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 1.180 * [taylor]: Taking taylor expansion of -1 in phi1 1.180 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 1.180 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.181 * [taylor]: Taking taylor expansion of R in phi1 1.181 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 1.181 * [taylor]: Taking taylor expansion of -1 in phi1 1.181 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 1.181 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.185 * [taylor]: Taking taylor expansion of R in phi1 1.186 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 1.186 * [taylor]: Taking taylor expansion of -1 in phi2 1.186 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 1.186 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.186 * [taylor]: Taking taylor expansion of R in phi2 1.187 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 1.187 * [taylor]: Taking taylor expansion of -1 in lambda1 1.187 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 1.187 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.188 * [taylor]: Taking taylor expansion of R in lambda1 1.189 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 1.189 * [taylor]: Taking taylor expansion of -1 in lambda2 1.189 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 1.189 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.189 * [taylor]: Taking taylor expansion of R in lambda2 1.190 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 1.190 * [taylor]: Taking taylor expansion of -1 in R 1.191 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 1.191 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 1.191 * [taylor]: Taking taylor expansion of R in R 1.194 * [taylor]: Taking taylor expansion of 0 in phi2 1.194 * [taylor]: Taking taylor expansion of 0 in lambda1 1.194 * [taylor]: Taking taylor expansion of 0 in lambda2 1.194 * [taylor]: Taking taylor expansion of 0 in R 1.196 * [taylor]: Taking taylor expansion of 0 in lambda1 1.196 * [taylor]: Taking taylor expansion of 0 in lambda2 1.196 * [taylor]: Taking taylor expansion of 0 in R 1.197 * [taylor]: Taking taylor expansion of 0 in lambda2 1.197 * [taylor]: Taking taylor expansion of 0 in R 1.199 * [taylor]: Taking taylor expansion of 0 in R 1.202 * [taylor]: Taking taylor expansion of 0 in phi2 1.202 * [taylor]: Taking taylor expansion of 0 in lambda1 1.202 * [taylor]: Taking taylor expansion of 0 in lambda2 1.202 * [taylor]: Taking taylor expansion of 0 in R 1.202 * [taylor]: Taking taylor expansion of 0 in lambda1 1.202 * [taylor]: Taking taylor expansion of 0 in lambda2 1.202 * [taylor]: Taking taylor expansion of 0 in R 1.204 * [taylor]: Taking taylor expansion of 0 in lambda1 1.204 * [taylor]: Taking taylor expansion of 0 in lambda2 1.204 * [taylor]: Taking taylor expansion of 0 in R 1.204 * [taylor]: Taking taylor expansion of 0 in lambda2 1.204 * [taylor]: Taking taylor expansion of 0 in R 1.204 * [taylor]: Taking taylor expansion of 0 in lambda2 1.204 * [taylor]: Taking taylor expansion of 0 in R 1.206 * [taylor]: Taking taylor expansion of 0 in lambda2 1.206 * [taylor]: Taking taylor expansion of 0 in R 1.206 * [taylor]: Taking taylor expansion of 0 in R 1.206 * [taylor]: Taking taylor expansion of 0 in R 1.206 * [taylor]: Taking taylor expansion of 0 in R 1.208 * [taylor]: Taking taylor expansion of 0 in R 1.211 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 2) 1.211 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 1.211 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 1.212 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 1.212 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.212 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.212 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.212 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.212 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.212 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.212 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.212 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.212 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.212 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.212 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.212 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.212 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.212 * [taylor]: Taking taylor expansion of 0 in lambda2 1.214 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.214 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.217 * [taylor]: Taking taylor expansion of 0 in lambda2 1.221 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2 1.221 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 1.221 * [taylor]: Taking taylor expansion of 1/6 in lambda2 1.221 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.221 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.227 * [taylor]: Taking taylor expansion of 0 in lambda2 1.227 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 1.227 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.227 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.227 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.227 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.228 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.228 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.228 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.228 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.228 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.228 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.228 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.228 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.228 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.228 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.228 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.228 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.228 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.228 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.229 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.229 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.229 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.229 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.229 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.229 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.229 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.229 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.229 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.229 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.231 * [taylor]: Taking taylor expansion of 0 in lambda2 1.235 * [taylor]: Taking taylor expansion of 0 in lambda2 1.241 * [taylor]: Taking taylor expansion of 0 in lambda2 1.241 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 1.241 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.241 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.241 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.241 * [taylor]: Taking taylor expansion of -1 in lambda2 1.241 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.241 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.241 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.241 * [taylor]: Taking taylor expansion of -1 in lambda2 1.241 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.241 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.241 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.241 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.241 * [taylor]: Taking taylor expansion of -1 in lambda1 1.241 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.242 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.242 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.242 * [taylor]: Taking taylor expansion of -1 in lambda1 1.242 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.242 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.242 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.242 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.242 * [taylor]: Taking taylor expansion of -1 in lambda1 1.242 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.242 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.242 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.242 * [taylor]: Taking taylor expansion of -1 in lambda1 1.242 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.243 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.243 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.243 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.243 * [taylor]: Taking taylor expansion of -1 in lambda2 1.243 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.243 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.243 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.243 * [taylor]: Taking taylor expansion of -1 in lambda2 1.243 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.245 * [taylor]: Taking taylor expansion of 0 in lambda2 1.249 * [taylor]: Taking taylor expansion of 0 in lambda2 1.254 * [taylor]: Taking taylor expansion of 0 in lambda2 1.254 * * * [progress]: simplifying candidates 1.256 * [simplify]: Simplifying using # : (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (+ (+ (log (cos phi1)) (log (cos phi2))) (+ (log (sin lambda1)) (log (sin lambda2)))) (+ (+ (log (cos phi1)) (log (cos phi2))) (log (* (sin lambda1) (sin lambda2)))) (+ (log (* (cos phi1) (cos phi2))) (+ (log (sin lambda1)) (log (sin lambda2)))) (+ (log (* (cos phi1) (cos phi2))) (log (* (sin lambda1) (sin lambda2)))) (log (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (* (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2)))) (* (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))) (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2)))) (* (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2)))) (* (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))) (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2)))) (* (cbrt (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (cbrt (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))) (cbrt (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (* (* (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (sqrt (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (sqrt (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))) (* 2 2) (* (* (cos phi1) (cos phi2)) (sin lambda1)) (* (cos phi2) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (* (sin lambda1) (sin lambda2))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2)) (+ (log (sin lambda1)) (log (sin lambda2))) (log (* (sin lambda1) (sin lambda2))) (exp (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))) (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (* (sin lambda1) (sqrt (sin lambda2))) (* (sin lambda1) 1) (* (cbrt (sin lambda1)) (sin lambda2)) (* (sqrt (sin lambda1)) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 0 (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin 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))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) 1.261 * * [simplify]: iteration 0 : 311 enodes (cost 1247 ) 1.267 * * [simplify]: iteration 1 : 1196 enodes (cost 1031 ) 1.291 * * [simplify]: iteration 2 : 5002 enodes (cost 1031 ) 1.299 * [simplify]: Simplified to: (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (log (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (log (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (log (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (log (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (log (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (pow (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) 3) (pow (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) 3) (pow (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) 3) (pow (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) 3) (* (cbrt (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (cbrt (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))) (cbrt (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (pow (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) 3) (sqrt (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (sqrt (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))) 4 (* (* (cos phi1) (cos phi2)) (sin lambda1)) (* (cos phi2) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (* (sin lambda1) (sin lambda2))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2)) (log (* (sin lambda1) (sin lambda2))) (log (* (sin lambda1) (sin lambda2))) (exp (* (sin lambda1) (sin lambda2))) (pow (* (sin lambda1) (sin lambda2)) 3) (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (pow (* (sin lambda1) (sin lambda2)) 3) (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (* (sin lambda1) (sqrt (sin lambda2))) (sin lambda1) (* (cbrt (sin lambda1)) (sin lambda2)) (* (sqrt (sin lambda1)) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) 0 (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) 1.299 * * * [progress]: adding candidates to table 1.631 * * [progress]: iteration 3 / 4 1.632 * * * [progress]: picking best candidate 1.738 * * * * [pick]: Picked # 1.738 * * * [progress]: localizing error 1.778 * * * [progress]: generating rewritten candidates 1.778 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.779 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.782 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2 2 2) 1.787 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 1.793 * * * [progress]: generating series expansions 1.793 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.794 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.794 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.794 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.795 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.795 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.795 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.796 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.796 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.796 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.797 * [taylor]: Taking taylor expansion of 0 in phi2 1.797 * [taylor]: Taking taylor expansion of 0 in lambda1 1.797 * [taylor]: Taking taylor expansion of 0 in lambda2 1.797 * [taylor]: Taking taylor expansion of 0 in lambda1 1.797 * [taylor]: Taking taylor expansion of 0 in lambda2 1.797 * [taylor]: Taking taylor expansion of 0 in lambda2 1.797 * [taylor]: Taking taylor expansion of 0 in phi2 1.797 * [taylor]: Taking taylor expansion of 0 in lambda1 1.797 * [taylor]: Taking taylor expansion of 0 in lambda2 1.797 * [taylor]: Taking taylor expansion of 0 in lambda1 1.797 * [taylor]: Taking taylor expansion of 0 in lambda2 1.798 * [approximate]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.798 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda2 1.799 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda1 1.799 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi2 1.800 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi1 1.800 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi1 1.801 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi2 1.801 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda1 1.802 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda2 1.803 * [taylor]: Taking taylor expansion of 0 in phi2 1.803 * [taylor]: Taking taylor expansion of 0 in lambda1 1.803 * [taylor]: Taking taylor expansion of 0 in lambda2 1.803 * [taylor]: Taking taylor expansion of 0 in lambda1 1.803 * [taylor]: Taking taylor expansion of 0 in lambda2 1.803 * [taylor]: Taking taylor expansion of 0 in lambda2 1.803 * [taylor]: Taking taylor expansion of 0 in phi2 1.803 * [taylor]: Taking taylor expansion of 0 in lambda1 1.803 * [taylor]: Taking taylor expansion of 0 in lambda2 1.803 * [taylor]: Taking taylor expansion of 0 in lambda1 1.803 * [taylor]: Taking taylor expansion of 0 in lambda2 1.804 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 1.804 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.805 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.805 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.806 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.806 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.807 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.807 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.808 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.809 * [taylor]: Taking taylor expansion of 0 in phi2 1.809 * [taylor]: Taking taylor expansion of 0 in lambda1 1.809 * [taylor]: Taking taylor expansion of 0 in lambda2 1.809 * [taylor]: Taking taylor expansion of 0 in lambda1 1.809 * [taylor]: Taking taylor expansion of 0 in lambda2 1.809 * [taylor]: Taking taylor expansion of 0 in lambda2 1.809 * [taylor]: Taking taylor expansion of 0 in phi2 1.809 * [taylor]: Taking taylor expansion of 0 in lambda1 1.809 * [taylor]: Taking taylor expansion of 0 in lambda2 1.809 * [taylor]: Taking taylor expansion of 0 in lambda1 1.809 * [taylor]: Taking taylor expansion of 0 in lambda2 1.810 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.810 * [approximate]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 1.810 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R 1.810 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 1.811 * [taylor]: Taking taylor expansion of R in R 1.811 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2 1.811 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.811 * [taylor]: Taking taylor expansion of R in lambda2 1.811 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1 1.811 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.812 * [taylor]: Taking taylor expansion of R in lambda1 1.812 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2 1.812 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.812 * [taylor]: Taking taylor expansion of R in phi2 1.812 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1 1.812 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.812 * [taylor]: Taking taylor expansion of R in phi1 1.812 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1 1.812 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.813 * [taylor]: Taking taylor expansion of R in phi1 1.813 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2 1.813 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.814 * [taylor]: Taking taylor expansion of R in phi2 1.814 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1 1.814 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.815 * [taylor]: Taking taylor expansion of R in lambda1 1.815 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2 1.815 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.815 * [taylor]: Taking taylor expansion of R in lambda2 1.816 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R 1.816 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 1.816 * [taylor]: Taking taylor expansion of R in R 1.817 * [taylor]: Taking taylor expansion of 0 in phi2 1.817 * [taylor]: Taking taylor expansion of 0 in lambda1 1.817 * [taylor]: Taking taylor expansion of 0 in lambda2 1.817 * [taylor]: Taking taylor expansion of 0 in R 1.817 * [taylor]: Taking taylor expansion of 0 in lambda1 1.817 * [taylor]: Taking taylor expansion of 0 in lambda2 1.817 * [taylor]: Taking taylor expansion of 0 in R 1.818 * [taylor]: Taking taylor expansion of 0 in lambda2 1.818 * [taylor]: Taking taylor expansion of 0 in R 1.818 * [taylor]: Taking taylor expansion of 0 in R 1.820 * [taylor]: Taking taylor expansion of 0 in phi2 1.820 * [taylor]: Taking taylor expansion of 0 in lambda1 1.820 * [taylor]: Taking taylor expansion of 0 in lambda2 1.820 * [taylor]: Taking taylor expansion of 0 in R 1.820 * [taylor]: Taking taylor expansion of 0 in lambda1 1.820 * [taylor]: Taking taylor expansion of 0 in lambda2 1.820 * [taylor]: Taking taylor expansion of 0 in R 1.821 * [taylor]: Taking taylor expansion of 0 in lambda1 1.821 * [taylor]: Taking taylor expansion of 0 in lambda2 1.821 * [taylor]: Taking taylor expansion of 0 in R 1.821 * [taylor]: Taking taylor expansion of 0 in lambda2 1.821 * [taylor]: Taking taylor expansion of 0 in R 1.821 * [taylor]: Taking taylor expansion of 0 in lambda2 1.821 * [taylor]: Taking taylor expansion of 0 in R 1.822 * [taylor]: Taking taylor expansion of 0 in lambda2 1.822 * [taylor]: Taking taylor expansion of 0 in R 1.823 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 1.824 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in R 1.824 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in R 1.824 * [taylor]: Taking taylor expansion of R in R 1.825 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in lambda2 1.825 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda2 1.825 * [taylor]: Taking taylor expansion of R in lambda2 1.826 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in lambda1 1.826 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda1 1.826 * [taylor]: Taking taylor expansion of R in lambda1 1.827 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in phi2 1.827 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi2 1.827 * [taylor]: Taking taylor expansion of R in phi2 1.828 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in phi1 1.828 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi1 1.828 * [taylor]: Taking taylor expansion of R in phi1 1.829 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in phi1 1.829 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi1 1.829 * [taylor]: Taking taylor expansion of R in phi1 1.830 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in phi2 1.830 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi2 1.830 * [taylor]: Taking taylor expansion of R in phi2 1.831 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in lambda1 1.831 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda1 1.831 * [taylor]: Taking taylor expansion of R in lambda1 1.832 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in lambda2 1.832 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda2 1.832 * [taylor]: Taking taylor expansion of R in lambda2 1.833 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in R 1.833 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in R 1.833 * [taylor]: Taking taylor expansion of R in R 1.835 * [taylor]: Taking taylor expansion of 0 in phi2 1.835 * [taylor]: Taking taylor expansion of 0 in lambda1 1.835 * [taylor]: Taking taylor expansion of 0 in lambda2 1.835 * [taylor]: Taking taylor expansion of 0 in R 1.836 * [taylor]: Taking taylor expansion of 0 in lambda1 1.836 * [taylor]: Taking taylor expansion of 0 in lambda2 1.836 * [taylor]: Taking taylor expansion of 0 in R 1.836 * [taylor]: Taking taylor expansion of 0 in lambda2 1.836 * [taylor]: Taking taylor expansion of 0 in R 1.837 * [taylor]: Taking taylor expansion of 0 in R 1.843 * [taylor]: Taking taylor expansion of 0 in phi2 1.843 * [taylor]: Taking taylor expansion of 0 in lambda1 1.843 * [taylor]: Taking taylor expansion of 0 in lambda2 1.843 * [taylor]: Taking taylor expansion of 0 in R 1.843 * [taylor]: Taking taylor expansion of 0 in lambda1 1.843 * [taylor]: Taking taylor expansion of 0 in lambda2 1.843 * [taylor]: Taking taylor expansion of 0 in R 1.844 * [taylor]: Taking taylor expansion of 0 in lambda1 1.844 * [taylor]: Taking taylor expansion of 0 in lambda2 1.844 * [taylor]: Taking taylor expansion of 0 in R 1.844 * [taylor]: Taking taylor expansion of 0 in lambda2 1.844 * [taylor]: Taking taylor expansion of 0 in R 1.844 * [taylor]: Taking taylor expansion of 0 in lambda2 1.844 * [taylor]: Taking taylor expansion of 0 in R 1.844 * [taylor]: Taking taylor expansion of 0 in lambda2 1.844 * [taylor]: Taking taylor expansion of 0 in R 1.844 * [taylor]: Taking taylor expansion of 0 in R 1.844 * [taylor]: Taking taylor expansion of 0 in R 1.844 * [taylor]: Taking taylor expansion of 0 in R 1.845 * [taylor]: Taking taylor expansion of 0 in R 1.849 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 1.849 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 1.849 * [taylor]: Taking taylor expansion of -1 in R 1.849 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 1.849 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 1.849 * [taylor]: Taking taylor expansion of R in R 1.850 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 1.850 * [taylor]: Taking taylor expansion of -1 in lambda2 1.850 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 1.850 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.850 * [taylor]: Taking taylor expansion of R in lambda2 1.851 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 1.851 * [taylor]: Taking taylor expansion of -1 in lambda1 1.851 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 1.851 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.851 * [taylor]: Taking taylor expansion of R in lambda1 1.852 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 1.852 * [taylor]: Taking taylor expansion of -1 in phi2 1.852 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 1.852 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.852 * [taylor]: Taking taylor expansion of R in phi2 1.853 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 1.853 * [taylor]: Taking taylor expansion of -1 in phi1 1.853 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 1.853 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.854 * [taylor]: Taking taylor expansion of R in phi1 1.854 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 1.854 * [taylor]: Taking taylor expansion of -1 in phi1 1.854 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 1.854 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.855 * [taylor]: Taking taylor expansion of R in phi1 1.856 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 1.856 * [taylor]: Taking taylor expansion of -1 in phi2 1.856 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 1.856 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.856 * [taylor]: Taking taylor expansion of R in phi2 1.857 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 1.857 * [taylor]: Taking taylor expansion of -1 in lambda1 1.857 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 1.857 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.858 * [taylor]: Taking taylor expansion of R in lambda1 1.859 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 1.859 * [taylor]: Taking taylor expansion of -1 in lambda2 1.859 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 1.859 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.859 * [taylor]: Taking taylor expansion of R in lambda2 1.860 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 1.861 * [taylor]: Taking taylor expansion of -1 in R 1.861 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 1.861 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 1.861 * [taylor]: Taking taylor expansion of R in R 1.864 * [taylor]: Taking taylor expansion of 0 in phi2 1.864 * [taylor]: Taking taylor expansion of 0 in lambda1 1.864 * [taylor]: Taking taylor expansion of 0 in lambda2 1.864 * [taylor]: Taking taylor expansion of 0 in R 1.866 * [taylor]: Taking taylor expansion of 0 in lambda1 1.866 * [taylor]: Taking taylor expansion of 0 in lambda2 1.866 * [taylor]: Taking taylor expansion of 0 in R 1.868 * [taylor]: Taking taylor expansion of 0 in lambda2 1.868 * [taylor]: Taking taylor expansion of 0 in R 1.869 * [taylor]: Taking taylor expansion of 0 in R 1.873 * [taylor]: Taking taylor expansion of 0 in phi2 1.873 * [taylor]: Taking taylor expansion of 0 in lambda1 1.873 * [taylor]: Taking taylor expansion of 0 in lambda2 1.873 * [taylor]: Taking taylor expansion of 0 in R 1.873 * [taylor]: Taking taylor expansion of 0 in lambda1 1.873 * [taylor]: Taking taylor expansion of 0 in lambda2 1.873 * [taylor]: Taking taylor expansion of 0 in R 1.875 * [taylor]: Taking taylor expansion of 0 in lambda1 1.875 * [taylor]: Taking taylor expansion of 0 in lambda2 1.875 * [taylor]: Taking taylor expansion of 0 in R 1.875 * [taylor]: Taking taylor expansion of 0 in lambda2 1.875 * [taylor]: Taking taylor expansion of 0 in R 1.875 * [taylor]: Taking taylor expansion of 0 in lambda2 1.875 * [taylor]: Taking taylor expansion of 0 in R 1.876 * [taylor]: Taking taylor expansion of 0 in lambda2 1.876 * [taylor]: Taking taylor expansion of 0 in R 1.876 * [taylor]: Taking taylor expansion of 0 in R 1.877 * [taylor]: Taking taylor expansion of 0 in R 1.877 * [taylor]: Taking taylor expansion of 0 in R 1.878 * [taylor]: Taking taylor expansion of 0 in R 1.882 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2 2 2) 1.882 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 1.882 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 1.882 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 1.882 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.882 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.882 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.882 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.882 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.882 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.882 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.882 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.882 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.882 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.882 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.882 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.882 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.882 * [taylor]: Taking taylor expansion of 0 in lambda2 1.885 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.885 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.888 * [taylor]: Taking taylor expansion of 0 in lambda2 1.892 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2 1.892 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 1.892 * [taylor]: Taking taylor expansion of 1/6 in lambda2 1.892 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.892 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.898 * [taylor]: Taking taylor expansion of 0 in lambda2 1.898 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 1.898 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.898 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.898 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.898 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.898 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.898 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.898 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.899 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.899 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.899 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.899 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.899 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.899 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.899 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.899 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.899 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.899 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.899 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.900 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.900 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.900 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.900 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.900 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.900 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.900 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.900 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.900 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.900 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.902 * [taylor]: Taking taylor expansion of 0 in lambda2 1.906 * [taylor]: Taking taylor expansion of 0 in lambda2 1.912 * [taylor]: Taking taylor expansion of 0 in lambda2 1.912 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 1.912 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.912 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.912 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.912 * [taylor]: Taking taylor expansion of -1 in lambda2 1.912 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.912 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.912 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.912 * [taylor]: Taking taylor expansion of -1 in lambda2 1.912 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.912 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.912 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.912 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.912 * [taylor]: Taking taylor expansion of -1 in lambda1 1.912 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.913 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.913 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.913 * [taylor]: Taking taylor expansion of -1 in lambda1 1.913 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.913 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.913 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.913 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.913 * [taylor]: Taking taylor expansion of -1 in lambda1 1.913 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.913 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.913 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.913 * [taylor]: Taking taylor expansion of -1 in lambda1 1.913 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.914 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.914 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.914 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.914 * [taylor]: Taking taylor expansion of -1 in lambda2 1.914 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.914 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.914 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.914 * [taylor]: Taking taylor expansion of -1 in lambda2 1.914 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.916 * [taylor]: Taking taylor expansion of 0 in lambda2 1.920 * [taylor]: Taking taylor expansion of 0 in lambda2 1.929 * [taylor]: Taking taylor expansion of 0 in lambda2 1.930 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 1.930 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 1.930 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 1.930 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 1.930 * [taylor]: Taking taylor expansion of phi1 in phi2 1.930 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.930 * [taylor]: Taking taylor expansion of phi2 in phi2 1.930 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.930 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.930 * [taylor]: Taking taylor expansion of phi1 in phi1 1.930 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.930 * [taylor]: Taking taylor expansion of phi2 in phi1 1.930 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.930 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.930 * [taylor]: Taking taylor expansion of phi1 in phi1 1.930 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.930 * [taylor]: Taking taylor expansion of phi2 in phi1 1.930 * [taylor]: Taking taylor expansion of 0 in phi2 1.932 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.933 * [taylor]: Taking taylor expansion of phi2 in phi2 1.936 * [taylor]: Taking taylor expansion of 0 in phi2 1.940 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 1.940 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 1.940 * [taylor]: Taking taylor expansion of 1/6 in phi2 1.940 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.940 * [taylor]: Taking taylor expansion of phi2 in phi2 1.946 * [taylor]: Taking taylor expansion of 0 in phi2 1.946 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 1.946 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.946 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.946 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.946 * [taylor]: Taking taylor expansion of phi1 in phi2 1.946 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.946 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.946 * [taylor]: Taking taylor expansion of phi2 in phi2 1.947 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.947 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.947 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.947 * [taylor]: Taking taylor expansion of phi1 in phi1 1.947 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.947 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.947 * [taylor]: Taking taylor expansion of phi2 in phi1 1.947 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.947 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.947 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.947 * [taylor]: Taking taylor expansion of phi1 in phi1 1.947 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.947 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.948 * [taylor]: Taking taylor expansion of phi2 in phi1 1.948 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.948 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.948 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.948 * [taylor]: Taking taylor expansion of phi1 in phi2 1.948 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.948 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.948 * [taylor]: Taking taylor expansion of phi2 in phi2 1.950 * [taylor]: Taking taylor expansion of 0 in phi2 1.954 * [taylor]: Taking taylor expansion of 0 in phi2 1.960 * [taylor]: Taking taylor expansion of 0 in phi2 1.960 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 1.960 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.960 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.960 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.960 * [taylor]: Taking taylor expansion of -1 in phi2 1.960 * [taylor]: Taking taylor expansion of phi1 in phi2 1.960 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.960 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.960 * [taylor]: Taking taylor expansion of -1 in phi2 1.960 * [taylor]: Taking taylor expansion of phi2 in phi2 1.960 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.960 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.960 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.960 * [taylor]: Taking taylor expansion of -1 in phi1 1.960 * [taylor]: Taking taylor expansion of phi1 in phi1 1.961 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.961 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.961 * [taylor]: Taking taylor expansion of -1 in phi1 1.961 * [taylor]: Taking taylor expansion of phi2 in phi1 1.961 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.961 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.961 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.961 * [taylor]: Taking taylor expansion of -1 in phi1 1.961 * [taylor]: Taking taylor expansion of phi1 in phi1 1.961 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.961 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.961 * [taylor]: Taking taylor expansion of -1 in phi1 1.961 * [taylor]: Taking taylor expansion of phi2 in phi1 1.962 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.962 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.962 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.962 * [taylor]: Taking taylor expansion of -1 in phi2 1.962 * [taylor]: Taking taylor expansion of phi1 in phi2 1.962 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.962 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.962 * [taylor]: Taking taylor expansion of -1 in phi2 1.962 * [taylor]: Taking taylor expansion of phi2 in phi2 1.964 * [taylor]: Taking taylor expansion of 0 in phi2 1.968 * [taylor]: Taking taylor expansion of 0 in phi2 1.974 * [taylor]: Taking taylor expansion of 0 in phi2 1.974 * * * [progress]: simplifying candidates 1.975 * [simplify]: Simplifying using # : (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2)) (+ (log (sin lambda1)) (log (sin lambda2))) (log (* (sin lambda1) (sin lambda2))) (exp (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))) (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (* (sin lambda1) (sqrt (sin lambda2))) (* (sin lambda1) 1) (* (cbrt (sin lambda1)) (sin lambda2)) (* (sqrt (sin lambda1)) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) R) (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 1.980 * * [simplify]: iteration 0 : 271 enodes (cost 1065 ) 1.985 * * [simplify]: iteration 1 : 844 enodes (cost 910 ) 1.998 * * [simplify]: iteration 2 : 1937 enodes (cost 910 ) 2.019 * * [simplify]: iteration 3 : 3101 enodes (cost 910 ) 2.048 * * [simplify]: iteration 4 : 5001 enodes (cost 910 ) 2.051 * [simplify]: Simplified to: (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2)) (log (* (sin lambda1) (sin lambda2))) (log (* (sin lambda1) (sin lambda2))) (exp (* (sin lambda1) (sin lambda2))) (pow (* (sin lambda1) (sin lambda2)) 3) (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (pow (* (sin lambda1) (sin lambda2)) 3) (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (* (sin lambda1) (sqrt (sin lambda2))) (sin lambda1) (* (cbrt (sin lambda1)) (sin lambda2)) (* (sqrt (sin lambda1)) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 2.052 * * * [progress]: adding candidates to table 2.407 * * [progress]: iteration 4 / 4 2.407 * * * [progress]: picking best candidate 2.519 * * * * [pick]: Picked # 2.519 * * * [progress]: localizing error 2.563 * * * [progress]: generating rewritten candidates 2.563 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 2.564 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.567 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 2.569 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.576 * * * [progress]: generating series expansions 2.576 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 2.577 * [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 2.577 * [taylor]: Taking taylor 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 2.577 * [taylor]: Taking taylor 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 2.577 * [taylor]: Taking taylor 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 2.578 * [taylor]: Taking taylor 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 2.578 * [taylor]: Taking taylor 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 2.579 * [taylor]: Taking taylor 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 2.579 * [taylor]: Taking taylor 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 2.579 * [taylor]: Taking taylor 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 2.580 * [taylor]: Taking taylor expansion of 0 in phi2 2.580 * [taylor]: Taking taylor expansion of 0 in lambda1 2.580 * [taylor]: Taking taylor expansion of 0 in lambda2 2.580 * [taylor]: Taking taylor expansion of 0 in lambda1 2.580 * [taylor]: Taking taylor expansion of 0 in lambda2 2.580 * [taylor]: Taking taylor expansion of 0 in lambda2 2.580 * [taylor]: Taking taylor expansion of 0 in phi2 2.580 * [taylor]: Taking taylor expansion of 0 in lambda1 2.580 * [taylor]: Taking taylor expansion of 0 in lambda2 2.580 * [taylor]: Taking taylor expansion of 0 in lambda1 2.580 * [taylor]: Taking taylor expansion of 0 in lambda2 2.582 * [approximate]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.582 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda2 2.582 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda1 2.583 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi2 2.583 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi1 2.584 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi1 2.584 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi2 2.585 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda1 2.586 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda2 2.587 * [taylor]: Taking taylor expansion of 0 in phi2 2.587 * [taylor]: Taking taylor expansion of 0 in lambda1 2.587 * [taylor]: Taking taylor expansion of 0 in lambda2 2.587 * [taylor]: Taking taylor expansion of 0 in lambda1 2.587 * [taylor]: Taking taylor expansion of 0 in lambda2 2.587 * [taylor]: Taking taylor expansion of 0 in lambda2 2.587 * [taylor]: Taking taylor expansion of 0 in phi2 2.587 * [taylor]: Taking taylor expansion of 0 in lambda1 2.587 * [taylor]: Taking taylor expansion of 0 in lambda2 2.587 * [taylor]: Taking taylor expansion of 0 in lambda1 2.587 * [taylor]: Taking taylor expansion of 0 in lambda2 2.588 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 2.588 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 2.589 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 2.589 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 2.590 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 2.590 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 2.591 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 2.591 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 2.592 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 2.593 * [taylor]: Taking taylor expansion of 0 in phi2 2.593 * [taylor]: Taking taylor expansion of 0 in lambda1 2.593 * [taylor]: Taking taylor expansion of 0 in lambda2 2.593 * [taylor]: Taking taylor expansion of 0 in lambda1 2.593 * [taylor]: Taking taylor expansion of 0 in lambda2 2.593 * [taylor]: Taking taylor expansion of 0 in lambda2 2.593 * [taylor]: Taking taylor expansion of 0 in phi2 2.593 * [taylor]: Taking taylor expansion of 0 in lambda1 2.593 * [taylor]: Taking taylor expansion of 0 in lambda2 2.593 * [taylor]: Taking taylor expansion of 0 in lambda1 2.593 * [taylor]: Taking taylor expansion of 0 in lambda2 2.594 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.594 * [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 2.594 * [taylor]: Taking taylor 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 2.595 * [taylor]: Taking taylor 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 2.595 * [taylor]: Taking taylor 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 2.595 * [taylor]: Taking taylor 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 2.596 * [taylor]: Taking taylor 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 2.596 * [taylor]: Taking taylor 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 2.596 * [taylor]: Taking taylor 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 2.597 * [taylor]: Taking taylor 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 2.598 * [taylor]: Taking taylor expansion of 0 in phi2 2.598 * [taylor]: Taking taylor expansion of 0 in lambda1 2.598 * [taylor]: Taking taylor expansion of 0 in lambda2 2.598 * [taylor]: Taking taylor expansion of 0 in lambda1 2.598 * [taylor]: Taking taylor expansion of 0 in lambda2 2.598 * [taylor]: Taking taylor expansion of 0 in lambda2 2.598 * [taylor]: Taking taylor expansion of 0 in phi2 2.598 * [taylor]: Taking taylor expansion of 0 in lambda1 2.598 * [taylor]: Taking taylor expansion of 0 in lambda2 2.598 * [taylor]: Taking taylor expansion of 0 in lambda1 2.598 * [taylor]: Taking taylor expansion of 0 in lambda2 2.599 * [approximate]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.599 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda2 2.599 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda1 2.600 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi2 2.600 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi1 2.601 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi1 2.601 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi2 2.602 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda1 2.602 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda2 2.604 * [taylor]: Taking taylor expansion of 0 in phi2 2.604 * [taylor]: Taking taylor expansion of 0 in lambda1 2.604 * [taylor]: Taking taylor expansion of 0 in lambda2 2.604 * [taylor]: Taking taylor expansion of 0 in lambda1 2.604 * [taylor]: Taking taylor expansion of 0 in lambda2 2.604 * [taylor]: Taking taylor expansion of 0 in lambda2 2.604 * [taylor]: Taking taylor expansion of 0 in phi2 2.604 * [taylor]: Taking taylor expansion of 0 in lambda1 2.604 * [taylor]: Taking taylor expansion of 0 in lambda2 2.604 * [taylor]: Taking taylor expansion of 0 in lambda1 2.604 * [taylor]: Taking taylor expansion of 0 in lambda2 2.605 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 2.605 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 2.606 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 2.606 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 2.607 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 2.607 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 2.608 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 2.608 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 2.609 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 2.610 * [taylor]: Taking taylor expansion of 0 in phi2 2.610 * [taylor]: Taking taylor expansion of 0 in lambda1 2.610 * [taylor]: Taking taylor expansion of 0 in lambda2 2.610 * [taylor]: Taking taylor expansion of 0 in lambda1 2.610 * [taylor]: Taking taylor expansion of 0 in lambda2 2.610 * [taylor]: Taking taylor expansion of 0 in lambda2 2.610 * [taylor]: Taking taylor expansion of 0 in phi2 2.610 * [taylor]: Taking taylor expansion of 0 in lambda1 2.610 * [taylor]: Taking taylor expansion of 0 in lambda2 2.610 * [taylor]: Taking taylor expansion of 0 in lambda1 2.610 * [taylor]: Taking taylor expansion of 0 in lambda2 2.611 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 2.611 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.611 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2 2.611 * [taylor]: Taking taylor 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 2.612 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1 2.612 * [taylor]: Taking taylor 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 2.613 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2 2.613 * [taylor]: Taking taylor 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 2.614 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1 2.614 * [taylor]: Taking taylor 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 2.614 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1 2.614 * [taylor]: Taking taylor 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 2.615 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2 2.615 * [taylor]: Taking taylor 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 2.616 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1 2.616 * [taylor]: Taking taylor 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 2.617 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2 2.617 * [taylor]: Taking taylor 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 2.619 * [taylor]: Taking taylor expansion of 0 in phi2 2.619 * [taylor]: Taking taylor expansion of 0 in lambda1 2.619 * [taylor]: Taking taylor expansion of 0 in lambda2 2.620 * [taylor]: Taking taylor expansion of 0 in lambda1 2.620 * [taylor]: Taking taylor expansion of 0 in lambda2 2.621 * [taylor]: Taking taylor expansion of 0 in lambda2 2.623 * [taylor]: Taking taylor expansion of 0 in phi2 2.623 * [taylor]: Taking taylor expansion of 0 in lambda1 2.624 * [taylor]: Taking taylor expansion of 0 in lambda2 2.624 * [taylor]: Taking taylor expansion of 0 in lambda1 2.624 * [taylor]: Taking taylor expansion of 0 in lambda2 2.625 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.625 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))))))) in lambda2 2.625 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda2 2.626 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))))))) in lambda1 2.626 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda1 2.627 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))))))) in phi2 2.627 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi2 2.632 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))))))) in phi1 2.632 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi1 2.633 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))))))) in phi1 2.633 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi1 2.634 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))))))) in phi2 2.634 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi2 2.635 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))))))) in lambda1 2.635 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda1 2.636 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))))))) in lambda2 2.636 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda2 2.639 * [taylor]: Taking taylor expansion of 0 in phi2 2.639 * [taylor]: Taking taylor expansion of 0 in lambda1 2.639 * [taylor]: Taking taylor expansion of 0 in lambda2 2.640 * [taylor]: Taking taylor expansion of 0 in lambda1 2.640 * [taylor]: Taking taylor expansion of 0 in lambda2 2.641 * [taylor]: Taking taylor expansion of 0 in lambda2 2.643 * [taylor]: Taking taylor expansion of 0 in phi2 2.643 * [taylor]: Taking taylor expansion of 0 in lambda1 2.643 * [taylor]: Taking taylor expansion of 0 in lambda2 2.643 * [taylor]: Taking taylor expansion of 0 in lambda1 2.643 * [taylor]: Taking taylor expansion of 0 in lambda2 2.645 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.645 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2 2.645 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 2.646 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda1 2.646 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 2.647 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2 2.647 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 2.648 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi1 2.648 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 2.649 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi1 2.649 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 2.650 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2 2.650 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 2.651 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda1 2.651 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 2.652 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2 2.652 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 2.654 * [taylor]: Taking taylor expansion of 0 in phi2 2.654 * [taylor]: Taking taylor expansion of 0 in lambda1 2.654 * [taylor]: Taking taylor expansion of 0 in lambda2 2.656 * [taylor]: Taking taylor expansion of 0 in lambda1 2.656 * [taylor]: Taking taylor expansion of 0 in lambda2 2.657 * [taylor]: Taking taylor expansion of 0 in lambda2 2.659 * [taylor]: Taking taylor expansion of 0 in phi2 2.659 * [taylor]: Taking taylor expansion of 0 in lambda1 2.659 * [taylor]: Taking taylor expansion of 0 in lambda2 2.659 * [taylor]: Taking taylor expansion of 0 in lambda1 2.659 * [taylor]: Taking taylor expansion of 0 in lambda2 2.660 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.661 * [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 2.661 * [taylor]: Taking 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 2.661 * [taylor]: Taking taylor 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 2.661 * [taylor]: Taking taylor expansion of R in R 2.661 * [taylor]: Taking 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 2.661 * [taylor]: Taking taylor 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 2.662 * [taylor]: Taking taylor expansion of R in lambda2 2.662 * [taylor]: Taking 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 2.662 * [taylor]: Taking taylor 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 2.662 * [taylor]: Taking taylor expansion of R in lambda1 2.662 * [taylor]: Taking 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 2.662 * [taylor]: Taking taylor 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 2.662 * [taylor]: Taking taylor expansion of R in phi2 2.663 * [taylor]: Taking 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 2.663 * [taylor]: Taking taylor 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 2.663 * [taylor]: Taking taylor expansion of R in phi1 2.663 * [taylor]: Taking 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 2.663 * [taylor]: Taking taylor 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 2.663 * [taylor]: Taking taylor expansion of R in phi1 2.664 * [taylor]: Taking 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 2.664 * [taylor]: Taking taylor 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 2.664 * [taylor]: Taking taylor expansion of R in phi2 2.665 * [taylor]: Taking 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 2.665 * [taylor]: Taking taylor 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 2.665 * [taylor]: Taking taylor expansion of R in lambda1 2.665 * [taylor]: Taking 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 2.665 * [taylor]: Taking taylor 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 2.666 * [taylor]: Taking taylor expansion of R in lambda2 2.666 * [taylor]: Taking 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 2.666 * [taylor]: Taking taylor 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 2.666 * [taylor]: Taking taylor expansion of R in R 2.667 * [taylor]: Taking taylor expansion of 0 in phi2 2.667 * [taylor]: Taking taylor expansion of 0 in lambda1 2.667 * [taylor]: Taking taylor expansion of 0 in lambda2 2.667 * [taylor]: Taking taylor expansion of 0 in R 2.668 * [taylor]: Taking taylor expansion of 0 in lambda1 2.668 * [taylor]: Taking taylor expansion of 0 in lambda2 2.668 * [taylor]: Taking taylor expansion of 0 in R 2.668 * [taylor]: Taking taylor expansion of 0 in lambda2 2.668 * [taylor]: Taking taylor expansion of 0 in R 2.669 * [taylor]: Taking taylor expansion of 0 in R 2.671 * [taylor]: Taking taylor expansion of 0 in phi2 2.671 * [taylor]: Taking taylor expansion of 0 in lambda1 2.671 * [taylor]: Taking taylor expansion of 0 in lambda2 2.671 * [taylor]: Taking taylor expansion of 0 in R 2.671 * [taylor]: Taking taylor expansion of 0 in lambda1 2.671 * [taylor]: Taking taylor expansion of 0 in lambda2 2.671 * [taylor]: Taking taylor expansion of 0 in R 2.672 * [taylor]: Taking taylor expansion of 0 in lambda1 2.672 * [taylor]: Taking taylor expansion of 0 in lambda2 2.672 * [taylor]: Taking taylor expansion of 0 in R 2.672 * [taylor]: Taking taylor expansion of 0 in lambda2 2.672 * [taylor]: Taking taylor expansion of 0 in R 2.672 * [taylor]: Taking taylor expansion of 0 in lambda2 2.672 * [taylor]: Taking taylor expansion of 0 in R 2.672 * [taylor]: Taking taylor expansion of 0 in lambda2 2.672 * [taylor]: Taking taylor expansion of 0 in R 2.674 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 2.674 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in R 2.674 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in R 2.675 * [taylor]: Taking taylor expansion of R in R 2.675 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in lambda2 2.675 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda2 2.676 * [taylor]: Taking taylor expansion of R in lambda2 2.676 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in lambda1 2.676 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda1 2.677 * [taylor]: Taking taylor expansion of R in lambda1 2.677 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in phi2 2.678 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi2 2.678 * [taylor]: Taking taylor expansion of R in phi2 2.679 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in phi1 2.679 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi1 2.679 * [taylor]: Taking taylor expansion of R in phi1 2.680 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in phi1 2.680 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi1 2.680 * [taylor]: Taking taylor expansion of R in phi1 2.681 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in phi2 2.681 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi2 2.681 * [taylor]: Taking taylor expansion of R in phi2 2.682 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in lambda1 2.682 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda1 2.682 * [taylor]: Taking taylor expansion of R in lambda1 2.683 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in lambda2 2.683 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda2 2.683 * [taylor]: Taking taylor expansion of R in lambda2 2.684 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in R 2.684 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in R 2.684 * [taylor]: Taking taylor expansion of R in R 2.686 * [taylor]: Taking taylor expansion of 0 in phi2 2.686 * [taylor]: Taking taylor expansion of 0 in lambda1 2.686 * [taylor]: Taking taylor expansion of 0 in lambda2 2.686 * [taylor]: Taking taylor expansion of 0 in R 2.687 * [taylor]: Taking taylor expansion of 0 in lambda1 2.687 * [taylor]: Taking taylor expansion of 0 in lambda2 2.687 * [taylor]: Taking taylor expansion of 0 in R 2.687 * [taylor]: Taking taylor expansion of 0 in lambda2 2.687 * [taylor]: Taking taylor expansion of 0 in R 2.688 * [taylor]: Taking taylor expansion of 0 in R 2.690 * [taylor]: Taking taylor expansion of 0 in phi2 2.690 * [taylor]: Taking taylor expansion of 0 in lambda1 2.690 * [taylor]: Taking taylor expansion of 0 in lambda2 2.690 * [taylor]: Taking taylor expansion of 0 in R 2.690 * [taylor]: Taking taylor expansion of 0 in lambda1 2.690 * [taylor]: Taking taylor expansion of 0 in lambda2 2.690 * [taylor]: Taking taylor expansion of 0 in R 2.691 * [taylor]: Taking taylor expansion of 0 in lambda1 2.691 * [taylor]: Taking taylor expansion of 0 in lambda2 2.691 * [taylor]: Taking taylor expansion of 0 in R 2.691 * [taylor]: Taking taylor expansion of 0 in lambda2 2.691 * [taylor]: Taking taylor expansion of 0 in R 2.691 * [taylor]: Taking taylor expansion of 0 in lambda2 2.691 * [taylor]: Taking taylor expansion of 0 in R 2.692 * [taylor]: Taking taylor expansion of 0 in lambda2 2.692 * [taylor]: Taking taylor expansion of 0 in R 2.692 * [taylor]: Taking taylor expansion of 0 in R 2.692 * [taylor]: Taking taylor expansion of 0 in R 2.692 * [taylor]: Taking taylor expansion of 0 in R 2.692 * [taylor]: Taking taylor expansion of 0 in R 2.696 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 2.696 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 2.696 * [taylor]: Taking taylor expansion of -1 in R 2.696 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 2.696 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 2.697 * [taylor]: Taking taylor expansion of R in R 2.697 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 2.697 * [taylor]: Taking taylor expansion of -1 in lambda2 2.697 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 2.697 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 2.698 * [taylor]: Taking taylor expansion of R in lambda2 2.698 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 2.698 * [taylor]: Taking taylor expansion of -1 in lambda1 2.698 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 2.698 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 2.699 * [taylor]: Taking taylor expansion of R in lambda1 2.699 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 2.699 * [taylor]: Taking taylor expansion of -1 in phi2 2.699 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 2.699 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 2.700 * [taylor]: Taking taylor expansion of R in phi2 2.700 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 2.700 * [taylor]: Taking taylor expansion of -1 in phi1 2.700 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 2.700 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 2.701 * [taylor]: Taking taylor expansion of R in phi1 2.701 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 2.701 * [taylor]: Taking taylor expansion of -1 in phi1 2.701 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 2.701 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 2.702 * [taylor]: Taking taylor expansion of R in phi1 2.703 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 2.703 * [taylor]: Taking taylor expansion of -1 in phi2 2.703 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 2.703 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 2.703 * [taylor]: Taking taylor expansion of R in phi2 2.704 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 2.704 * [taylor]: Taking taylor expansion of -1 in lambda1 2.705 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 2.705 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 2.705 * [taylor]: Taking taylor expansion of R in lambda1 2.706 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 2.706 * [taylor]: Taking taylor expansion of -1 in lambda2 2.706 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 2.706 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 2.707 * [taylor]: Taking taylor expansion of R in lambda2 2.708 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 2.708 * [taylor]: Taking taylor expansion of -1 in R 2.708 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 2.708 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 2.708 * [taylor]: Taking taylor expansion of R in R 2.714 * [taylor]: Taking taylor expansion of 0 in phi2 2.714 * [taylor]: Taking taylor expansion of 0 in lambda1 2.714 * [taylor]: Taking taylor expansion of 0 in lambda2 2.714 * [taylor]: Taking taylor expansion of 0 in R 2.716 * [taylor]: Taking taylor expansion of 0 in lambda1 2.716 * [taylor]: Taking taylor expansion of 0 in lambda2 2.716 * [taylor]: Taking taylor expansion of 0 in R 2.717 * [taylor]: Taking taylor expansion of 0 in lambda2 2.717 * [taylor]: Taking taylor expansion of 0 in R 2.719 * [taylor]: Taking taylor expansion of 0 in R 2.722 * [taylor]: Taking taylor expansion of 0 in phi2 2.723 * [taylor]: Taking taylor expansion of 0 in lambda1 2.723 * [taylor]: Taking taylor expansion of 0 in lambda2 2.723 * [taylor]: Taking taylor expansion of 0 in R 2.723 * [taylor]: Taking taylor expansion of 0 in lambda1 2.723 * [taylor]: Taking taylor expansion of 0 in lambda2 2.723 * [taylor]: Taking taylor expansion of 0 in R 2.724 * [taylor]: Taking taylor expansion of 0 in lambda1 2.724 * [taylor]: Taking taylor expansion of 0 in lambda2 2.724 * [taylor]: Taking taylor expansion of 0 in R 2.724 * [taylor]: Taking taylor expansion of 0 in lambda2 2.724 * [taylor]: Taking taylor expansion of 0 in R 2.724 * [taylor]: Taking taylor expansion of 0 in lambda2 2.725 * [taylor]: Taking taylor expansion of 0 in R 2.726 * [taylor]: Taking taylor expansion of 0 in lambda2 2.726 * [taylor]: Taking taylor expansion of 0 in R 2.726 * [taylor]: Taking taylor expansion of 0 in R 2.726 * [taylor]: Taking taylor expansion of 0 in R 2.726 * [taylor]: Taking taylor expansion of 0 in R 2.728 * [taylor]: Taking taylor expansion of 0 in R 2.732 * * * [progress]: simplifying candidates 2.733 * [simplify]: Simplifying using # : (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (log (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))))))) (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))))) (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))))) (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))))) (log 1) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))))) (log (exp (/ PI 2))) (log (exp (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))))) (log (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))))))) (log (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))))) (log (exp 1)) (log (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))))) (exp (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))))) (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))))) (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))))))) (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))))) (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))))) (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))))) (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))))) (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))))) (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))))) (exp 1) (exp (/ PI 2)) (exp (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))))) (exp (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))))) (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))))) (* (* (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))))) (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))))) (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))))) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))))) R) (+ (log (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))))) (log R)) (log (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))))) R)) (exp (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))))) R)) (* (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))))) (* (* R R) R)) (* (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))))) R)) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))))) R))) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))))) R)) (* (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))))) R) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))))) R)) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))))) R)) (sqrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))))) R)) (sqrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))))) R)) (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))))) (sqrt R)) (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))))) (sqrt R)) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))))) (* (cbrt R) (cbrt R))) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))))) 1) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))))) R) (* (log (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))))))) R) (* (log (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))))) R) (* (log (exp 1)) R) (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))))) R) (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))))) R) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))))) R) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) (exp (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))))))) (exp (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) R) (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) 2.740 * * [simplify]: iteration 0 : 191 enodes (cost 1853 ) 2.743 * * [simplify]: iteration 1 : 409 enodes (cost 1609 ) 2.751 * * [simplify]: iteration 2 : 924 enodes (cost 1603 ) 2.760 * * [simplify]: iteration 3 : 1286 enodes (cost 1603 ) 2.780 * * [simplify]: iteration 4 : 3543 enodes (cost 1599 ) 2.846 * * [simplify]: iteration 5 : 5002 enodes (cost 1599 ) 2.852 * [simplify]: Simplified to: (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (* 2 (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))))))) (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))))) (/ (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) 2) (/ (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) 2) 0 (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) 1 (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))))) (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))))) E (exp (/ PI 2)) (exp (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) (exp (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))))) (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))))) (pow (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) 3) (pow (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) 1/2) (pow (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) 1/2) (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) R) (log (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) R)) (log (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) R)) (pow (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) R) (pow (* R (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) 3) (* (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))))) R)) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))))) R))) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))))) R)) (pow (* R (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) 3) (sqrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))))) R)) (sqrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (sqrt R)) (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) (cbrt R)) (cbrt R)) (* (sqrt R) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) R) (* R (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))))) (* R (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))))) R (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) R) (* R (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))))) (* (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 phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) R) (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) R) (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) R) 2.853 * * * [progress]: adding candidates to table 3.237 * [progress]: [Phase 3 of 3] Extracting. 3.237 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # # # # # #) 3.267 * * * [regime-changes]: Trying 7 branch expressions: ((- lambda1 lambda2) (cos (- lambda1 lambda2)) phi2 phi1 lambda2 lambda1 R) 3.267 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (# # # # # # # # # # # # # # # # # # # # #) 3.427 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (# #) 3.450 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (# # # # # # # # # # # # # # # # # # # # #) 3.610 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (# #) 3.637 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # # # # # # # # # # # # # #) 3.795 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # # # # # # # # # # # # # #) 3.958 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # # # # # # # # # # # # # # #) 4.119 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # # # # # # # # # # # # # #) 4.279 * * * * [regimes]: Trying to branch on R from (# # # # # # # # # # # # # # # # # # # # #) 4.437 * * * [regime]: Found split indices: #