12.513 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.277 * * * [progress]: [2/2] Setting up program. 0.281 * [progress]: [Phase 2 of 3] Improving. 0.281 * [simplify]: Simplifying using # : (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.284 * * [simplify]: iteration 0 : 26 enodes (cost 12 ) 0.285 * * [simplify]: iteration 1 : 34 enodes (cost 12 ) 0.286 * * [simplify]: iteration 2 : 36 enodes (cost 12 ) 0.287 * * [simplify]: iteration 3 : 36 enodes (cost 12 ) 0.288 * [simplify]: Simplified to: (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.288 * * [progress]: iteration 1 / 4 0.288 * * * [progress]: picking best candidate 0.291 * * * * [pick]: Picked # 0.291 * * * [progress]: localizing error 0.314 * * * [progress]: generating rewritten candidates 0.314 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 0.318 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.319 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.323 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 0.331 * * * [progress]: generating series expansions 0.331 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 0.331 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 0.331 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 0.331 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 0.331 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.331 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.332 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.332 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.332 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.332 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.332 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.332 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.332 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.332 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.332 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.332 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.333 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.335 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 0.335 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 0.335 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.335 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.338 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 0.339 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 0.339 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.339 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.339 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.339 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.341 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 0.341 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.341 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.341 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.341 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.341 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.341 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.342 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.342 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.342 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.342 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.342 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.342 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.342 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.342 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.342 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.342 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.343 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.343 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.343 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.343 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.343 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.343 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.343 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.343 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.344 * [taylor]: Taking taylor expansion of 0 in lambda2 0.344 * [taylor]: Taking taylor expansion of 0 in lambda2 0.344 * [taylor]: Taking taylor expansion of 0 in lambda2 0.344 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 0.344 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.344 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.344 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.344 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.345 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.345 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.345 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.345 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.345 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.345 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.345 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.345 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.346 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.346 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.346 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.346 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.346 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.346 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.347 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.347 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.347 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.347 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.347 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.347 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.348 * [taylor]: Taking taylor expansion of 0 in lambda2 0.348 * [taylor]: Taking taylor expansion of 0 in lambda2 0.348 * [taylor]: Taking taylor expansion of 0 in lambda2 0.348 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.348 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.348 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.352 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.353 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.353 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.353 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.353 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.354 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.354 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.354 * [taylor]: Taking taylor expansion of 0 in phi2 0.354 * [taylor]: Taking taylor expansion of 0 in lambda1 0.354 * [taylor]: Taking taylor expansion of 0 in lambda2 0.354 * [taylor]: Taking taylor expansion of 0 in lambda1 0.354 * [taylor]: Taking taylor expansion of 0 in lambda2 0.354 * [taylor]: Taking taylor expansion of 0 in lambda2 0.354 * [taylor]: Taking taylor expansion of 0 in phi2 0.354 * [taylor]: Taking taylor expansion of 0 in lambda1 0.354 * [taylor]: Taking taylor expansion of 0 in lambda2 0.354 * [taylor]: Taking taylor expansion of 0 in lambda1 0.354 * [taylor]: Taking taylor expansion of 0 in lambda2 0.355 * [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 0.355 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2 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 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 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))))))) in phi1 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 phi1 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 phi2 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 lambda1 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 lambda2 0.357 * [taylor]: Taking taylor expansion of 0 in phi2 0.357 * [taylor]: Taking taylor expansion of 0 in lambda1 0.357 * [taylor]: Taking taylor expansion of 0 in lambda2 0.357 * [taylor]: Taking taylor expansion of 0 in lambda1 0.358 * [taylor]: Taking taylor expansion of 0 in lambda2 0.358 * [taylor]: Taking taylor expansion of 0 in lambda2 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 lambda1 0.358 * [taylor]: Taking taylor expansion of 0 in lambda2 0.358 * [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 0.358 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 0.359 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 0.359 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 0.359 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 0.359 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 0.360 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 0.360 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 0.360 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 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 lambda1 0.361 * [taylor]: Taking taylor expansion of 0 in lambda2 0.361 * [taylor]: Taking taylor expansion of 0 in lambda2 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 lambda1 0.361 * [taylor]: Taking taylor expansion of 0 in lambda2 0.361 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.362 * [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 0.362 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.362 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.362 * [taylor]: Taking taylor expansion of R in R 0.362 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.362 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.363 * [taylor]: Taking taylor expansion of R in lambda2 0.363 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.363 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.363 * [taylor]: Taking taylor expansion of R in lambda1 0.363 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.363 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.363 * [taylor]: Taking taylor expansion of R in phi2 0.363 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.363 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.363 * [taylor]: Taking taylor expansion of R in phi1 0.363 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.363 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.363 * [taylor]: Taking taylor expansion of R in phi1 0.364 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.364 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.364 * [taylor]: Taking taylor expansion of R in phi2 0.364 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.364 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.364 * [taylor]: Taking taylor expansion of R in lambda1 0.364 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.364 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.365 * [taylor]: Taking taylor expansion of R in lambda2 0.365 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.365 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.365 * [taylor]: Taking taylor expansion of R in R 0.365 * [taylor]: Taking taylor expansion of 0 in phi2 0.366 * [taylor]: Taking taylor expansion of 0 in lambda1 0.366 * [taylor]: Taking taylor expansion of 0 in lambda2 0.366 * [taylor]: Taking taylor expansion of 0 in R 0.366 * [taylor]: Taking taylor expansion of 0 in lambda1 0.366 * [taylor]: Taking taylor expansion of 0 in lambda2 0.366 * [taylor]: Taking taylor expansion of 0 in R 0.366 * [taylor]: Taking taylor expansion of 0 in lambda2 0.366 * [taylor]: Taking taylor expansion of 0 in R 0.366 * [taylor]: Taking taylor expansion of 0 in R 0.368 * [taylor]: Taking taylor expansion of 0 in phi2 0.368 * [taylor]: Taking taylor expansion of 0 in lambda1 0.368 * [taylor]: Taking taylor expansion of 0 in lambda2 0.368 * [taylor]: Taking taylor expansion of 0 in R 0.368 * [taylor]: Taking taylor expansion of 0 in lambda1 0.368 * [taylor]: Taking taylor expansion of 0 in lambda2 0.368 * [taylor]: Taking taylor expansion of 0 in R 0.369 * [taylor]: Taking taylor expansion of 0 in lambda1 0.369 * [taylor]: Taking taylor expansion of 0 in lambda2 0.369 * [taylor]: Taking taylor expansion of 0 in R 0.369 * [taylor]: Taking taylor expansion of 0 in lambda2 0.369 * [taylor]: Taking taylor expansion of 0 in R 0.369 * [taylor]: Taking taylor expansion of 0 in lambda2 0.369 * [taylor]: Taking taylor expansion of 0 in R 0.369 * [taylor]: Taking taylor expansion of 0 in lambda2 0.369 * [taylor]: Taking taylor expansion of 0 in R 0.370 * [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 0.370 * [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 0.370 * [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 0.370 * [taylor]: Taking taylor expansion of R in R 0.371 * [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 0.371 * [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 0.371 * [taylor]: Taking taylor expansion of R in lambda2 0.371 * [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 0.371 * [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 0.372 * [taylor]: Taking taylor expansion of R in lambda1 0.372 * [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 0.372 * [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 0.372 * [taylor]: Taking taylor expansion of R in phi2 0.373 * [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 0.373 * [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 0.373 * [taylor]: Taking taylor expansion of R in phi1 0.373 * [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 0.373 * [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 0.374 * [taylor]: Taking taylor expansion of R in phi1 0.374 * [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 0.374 * [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 0.374 * [taylor]: Taking taylor expansion of R in phi2 0.374 * [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 0.374 * [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 0.375 * [taylor]: Taking taylor expansion of R in lambda1 0.375 * [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 0.375 * [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 0.375 * [taylor]: Taking taylor expansion of R in lambda2 0.376 * [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 0.376 * [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 0.376 * [taylor]: Taking taylor expansion of R in R 0.377 * [taylor]: Taking taylor expansion of 0 in phi2 0.377 * [taylor]: Taking taylor expansion of 0 in lambda1 0.377 * [taylor]: Taking taylor expansion of 0 in lambda2 0.377 * [taylor]: Taking taylor expansion of 0 in R 0.377 * [taylor]: Taking taylor expansion of 0 in lambda1 0.377 * [taylor]: Taking taylor expansion of 0 in lambda2 0.377 * [taylor]: Taking taylor expansion of 0 in R 0.378 * [taylor]: Taking taylor expansion of 0 in lambda2 0.378 * [taylor]: Taking taylor expansion of 0 in R 0.378 * [taylor]: Taking taylor expansion of 0 in R 0.379 * [taylor]: Taking taylor expansion of 0 in phi2 0.379 * [taylor]: Taking taylor expansion of 0 in lambda1 0.379 * [taylor]: Taking taylor expansion of 0 in lambda2 0.379 * [taylor]: Taking taylor expansion of 0 in R 0.379 * [taylor]: Taking taylor expansion of 0 in lambda1 0.380 * [taylor]: Taking taylor expansion of 0 in lambda2 0.380 * [taylor]: Taking taylor expansion of 0 in R 0.380 * [taylor]: Taking taylor expansion of 0 in lambda1 0.380 * [taylor]: Taking taylor expansion of 0 in lambda2 0.380 * [taylor]: Taking taylor expansion of 0 in R 0.380 * [taylor]: Taking taylor expansion of 0 in lambda2 0.380 * [taylor]: Taking taylor expansion of 0 in R 0.380 * [taylor]: Taking taylor expansion of 0 in lambda2 0.380 * [taylor]: Taking taylor expansion of 0 in R 0.380 * [taylor]: Taking taylor expansion of 0 in lambda2 0.380 * [taylor]: Taking taylor expansion of 0 in R 0.380 * [taylor]: Taking taylor expansion of 0 in R 0.380 * [taylor]: Taking taylor expansion of 0 in R 0.381 * [taylor]: Taking taylor expansion of 0 in R 0.381 * [taylor]: Taking taylor expansion of 0 in R 0.383 * [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 0.383 * [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 0.383 * [taylor]: Taking taylor expansion of -1 in R 0.383 * [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 0.383 * [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 0.384 * [taylor]: Taking taylor expansion of R in R 0.384 * [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 0.384 * [taylor]: Taking taylor expansion of -1 in lambda2 0.384 * [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 0.384 * [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 0.384 * [taylor]: Taking taylor expansion of R in lambda2 0.384 * [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 0.384 * [taylor]: Taking taylor expansion of -1 in lambda1 0.384 * [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 0.385 * [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 0.385 * [taylor]: Taking taylor expansion of R in lambda1 0.385 * [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 0.385 * [taylor]: Taking taylor expansion of -1 in phi2 0.385 * [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 0.385 * [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 0.385 * [taylor]: Taking taylor expansion of R in phi2 0.386 * [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 0.386 * [taylor]: Taking taylor expansion of -1 in phi1 0.386 * [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 0.386 * [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 0.386 * [taylor]: Taking taylor expansion of R in phi1 0.386 * [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 0.386 * [taylor]: Taking taylor expansion of -1 in phi1 0.386 * [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 0.386 * [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 0.387 * [taylor]: Taking taylor expansion of R in phi1 0.387 * [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 0.387 * [taylor]: Taking taylor expansion of -1 in phi2 0.387 * [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 0.387 * [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 0.388 * [taylor]: Taking taylor expansion of R in phi2 0.388 * [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 0.388 * [taylor]: Taking taylor expansion of -1 in lambda1 0.388 * [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 0.388 * [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 0.388 * [taylor]: Taking taylor expansion of R in lambda1 0.389 * [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 0.389 * [taylor]: Taking taylor expansion of -1 in lambda2 0.389 * [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 0.389 * [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 0.389 * [taylor]: Taking taylor expansion of R in lambda2 0.390 * [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 0.390 * [taylor]: Taking taylor expansion of -1 in R 0.390 * [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 0.390 * [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 0.390 * [taylor]: Taking taylor expansion of R in R 0.392 * [taylor]: Taking taylor expansion of 0 in phi2 0.392 * [taylor]: Taking taylor expansion of 0 in lambda1 0.392 * [taylor]: Taking taylor expansion of 0 in lambda2 0.392 * [taylor]: Taking taylor expansion of 0 in R 0.393 * [taylor]: Taking taylor expansion of 0 in lambda1 0.393 * [taylor]: Taking taylor expansion of 0 in lambda2 0.393 * [taylor]: Taking taylor expansion of 0 in R 0.394 * [taylor]: Taking taylor expansion of 0 in lambda2 0.394 * [taylor]: Taking taylor expansion of 0 in R 0.395 * [taylor]: Taking taylor expansion of 0 in R 0.398 * [taylor]: Taking taylor expansion of 0 in phi2 0.398 * [taylor]: Taking taylor expansion of 0 in lambda1 0.398 * [taylor]: Taking taylor expansion of 0 in lambda2 0.398 * [taylor]: Taking taylor expansion of 0 in R 0.398 * [taylor]: Taking taylor expansion of 0 in lambda1 0.398 * [taylor]: Taking taylor expansion of 0 in lambda2 0.398 * [taylor]: Taking taylor expansion of 0 in R 0.399 * [taylor]: Taking taylor expansion of 0 in lambda1 0.399 * [taylor]: Taking taylor expansion of 0 in lambda2 0.399 * [taylor]: Taking taylor expansion of 0 in R 0.399 * [taylor]: Taking taylor expansion of 0 in lambda2 0.399 * [taylor]: Taking taylor expansion of 0 in R 0.399 * [taylor]: Taking taylor expansion of 0 in lambda2 0.399 * [taylor]: Taking taylor expansion of 0 in R 0.400 * [taylor]: Taking taylor expansion of 0 in lambda2 0.400 * [taylor]: Taking taylor expansion of 0 in R 0.400 * [taylor]: Taking taylor expansion of 0 in R 0.400 * [taylor]: Taking taylor expansion of 0 in R 0.400 * [taylor]: Taking taylor expansion of 0 in R 0.402 * [taylor]: Taking taylor expansion of 0 in R 0.404 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 0.405 * [approximate]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))) in (phi1 phi2 lambda1 lambda2) around 0 0.405 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))) in lambda2 0.405 * [taylor]: Taking taylor expansion of (cos phi1) in lambda2 0.405 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.405 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos (- lambda1 lambda2))) in lambda2 0.405 * [taylor]: Taking taylor expansion of (cos phi2) in lambda2 0.405 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.405 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 0.405 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 0.405 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.405 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.405 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))) in lambda1 0.405 * [taylor]: Taking taylor expansion of (cos phi1) in lambda1 0.405 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.405 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos (- lambda1 lambda2))) in lambda1 0.405 * [taylor]: Taking taylor expansion of (cos phi2) in lambda1 0.405 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.405 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.405 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.405 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.405 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.405 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))) in phi2 0.405 * [taylor]: Taking taylor expansion of (cos phi1) in phi2 0.405 * [taylor]: Taking taylor expansion of phi1 in phi2 0.406 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos (- lambda1 lambda2))) in phi2 0.406 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 0.406 * [taylor]: Taking taylor expansion of phi2 in phi2 0.406 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi2 0.406 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi2 0.406 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.406 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.406 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))) in phi1 0.406 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 0.406 * [taylor]: Taking taylor expansion of phi1 in phi1 0.406 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos (- lambda1 lambda2))) in phi1 0.406 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 0.406 * [taylor]: Taking taylor expansion of phi2 in phi1 0.406 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi1 0.406 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi1 0.406 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.406 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.406 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))) in phi1 0.406 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 0.406 * [taylor]: Taking taylor expansion of phi1 in phi1 0.406 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos (- lambda1 lambda2))) in phi1 0.406 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 0.406 * [taylor]: Taking taylor expansion of phi2 in phi1 0.406 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi1 0.406 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi1 0.406 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.406 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.407 * [taylor]: Taking taylor expansion of (* (cos (- lambda1 lambda2)) (cos phi2)) in phi2 0.407 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi2 0.407 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi2 0.407 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.407 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.407 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 0.407 * [taylor]: Taking taylor expansion of phi2 in phi2 0.408 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.408 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.408 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.408 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.408 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.408 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.408 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.413 * [taylor]: Taking taylor expansion of 0 in phi2 0.413 * [taylor]: Taking taylor expansion of 0 in lambda1 0.413 * [taylor]: Taking taylor expansion of 0 in lambda2 0.416 * [taylor]: Taking taylor expansion of 0 in lambda1 0.416 * [taylor]: Taking taylor expansion of 0 in lambda2 0.417 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 0.417 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 0.417 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.417 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.424 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (cos (- lambda1 lambda2)) (cos phi2)))) in phi2 0.424 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos (- lambda1 lambda2)) (cos phi2))) in phi2 0.424 * [taylor]: Taking taylor expansion of 1/2 in phi2 0.424 * [taylor]: Taking taylor expansion of (* (cos (- lambda1 lambda2)) (cos phi2)) in phi2 0.424 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi2 0.424 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi2 0.424 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.424 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.425 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 0.425 * [taylor]: Taking taylor expansion of phi2 in phi2 0.425 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda1 lambda2)))) in lambda1 0.425 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda1 lambda2))) in lambda1 0.425 * [taylor]: Taking taylor expansion of 1/2 in lambda1 0.425 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.425 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.425 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.425 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.426 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 0.426 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 0.426 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.426 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.426 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.426 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.427 * [taylor]: Taking taylor expansion of 0 in lambda1 0.427 * [taylor]: Taking taylor expansion of 0 in lambda2 0.430 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda1 lambda2)))) in lambda1 0.430 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda1 lambda2))) in lambda1 0.430 * [taylor]: Taking taylor expansion of 1/2 in lambda1 0.430 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.430 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.430 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.430 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.431 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 0.431 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 0.431 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.431 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.431 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.431 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.432 * [approximate]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in (phi1 phi2 lambda1 lambda2) around 0 0.432 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) 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 0.433 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in lambda2 0.433 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 0.433 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 0.433 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.433 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 0.433 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 0.433 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.433 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in lambda1 0.434 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.434 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.434 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.434 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.434 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.434 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.434 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in lambda1 0.434 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 0.434 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 0.434 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.434 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 0.434 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 0.434 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.434 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in phi2 0.435 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in phi2 0.435 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2 0.435 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 0.435 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.435 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 0.435 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.435 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in phi2 0.435 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 0.435 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.435 * [taylor]: Taking taylor expansion of phi2 in phi2 0.435 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 0.435 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.435 * [taylor]: Taking taylor expansion of phi1 in phi2 0.435 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in phi1 0.435 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in phi1 0.435 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1 0.435 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 0.435 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.435 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 0.435 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.436 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in phi1 0.436 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 0.436 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.436 * [taylor]: Taking taylor expansion of phi2 in phi1 0.436 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 0.436 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.436 * [taylor]: Taking taylor expansion of phi1 in phi1 0.436 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in phi1 0.436 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in phi1 0.436 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1 0.436 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 0.436 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.436 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 0.436 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.436 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in phi1 0.436 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 0.436 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.436 * [taylor]: Taking taylor expansion of phi2 in phi1 0.437 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 0.437 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.437 * [taylor]: Taking taylor expansion of phi1 in phi1 0.438 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) in phi2 0.438 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 0.438 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.438 * [taylor]: Taking taylor expansion of phi1 in phi2 0.438 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2)))) in phi2 0.438 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 0.438 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.438 * [taylor]: Taking taylor expansion of phi2 in phi2 0.438 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in phi2 0.438 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2 0.438 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 0.438 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.438 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 0.439 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.443 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in lambda1 0.443 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.443 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.443 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.443 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.443 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.443 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.444 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in lambda1 0.444 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 0.444 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 0.444 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.444 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 0.444 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 0.444 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.445 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) in lambda2 0.445 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 0.445 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 0.445 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.445 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2)))) in lambda2 0.445 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 0.445 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 0.445 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.445 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.445 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.445 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.445 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.445 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.445 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.452 * [taylor]: Taking taylor expansion of 0 in phi2 0.452 * [taylor]: Taking taylor expansion of 0 in lambda1 0.452 * [taylor]: Taking taylor expansion of 0 in lambda2 0.456 * [taylor]: Taking taylor expansion of 0 in lambda1 0.456 * [taylor]: Taking taylor expansion of 0 in lambda2 0.460 * [taylor]: Taking taylor expansion of 0 in lambda2 0.471 * [taylor]: Taking taylor expansion of 0 in phi2 0.471 * [taylor]: Taking taylor expansion of 0 in lambda1 0.471 * [taylor]: Taking taylor expansion of 0 in lambda2 0.471 * [taylor]: Taking taylor expansion of 0 in lambda1 0.472 * [taylor]: Taking taylor expansion of 0 in lambda2 0.472 * [approximate]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in (phi1 phi2 lambda1 lambda2) around 0 0.472 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda2 0.472 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 0.472 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 0.472 * [taylor]: Taking taylor expansion of -1 in lambda2 0.472 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.473 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda2 0.473 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 0.473 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 0.473 * [taylor]: Taking taylor expansion of -1 in lambda2 0.473 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.473 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.473 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.473 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.473 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.474 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.474 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.474 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda1 0.474 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 0.474 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 0.474 * [taylor]: Taking taylor expansion of -1 in lambda1 0.474 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.474 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda1 0.474 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 0.474 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 0.475 * [taylor]: Taking taylor expansion of -1 in lambda1 0.475 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.475 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.475 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.475 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.475 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.475 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.475 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.476 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi2 0.476 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 0.476 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.476 * [taylor]: Taking taylor expansion of -1 in phi2 0.476 * [taylor]: Taking taylor expansion of phi1 in phi2 0.476 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in phi2 0.476 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 0.476 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.476 * [taylor]: Taking taylor expansion of -1 in phi2 0.476 * [taylor]: Taking taylor expansion of phi2 in phi2 0.477 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in phi2 0.477 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi2 0.477 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 0.477 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.477 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 0.477 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.478 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi1 0.478 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 0.478 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.478 * [taylor]: Taking taylor expansion of -1 in phi1 0.478 * [taylor]: Taking taylor expansion of phi1 in phi1 0.478 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in phi1 0.478 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 0.478 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.478 * [taylor]: Taking taylor expansion of -1 in phi1 0.478 * [taylor]: Taking taylor expansion of phi2 in phi1 0.478 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in phi1 0.478 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi1 0.479 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 0.479 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.479 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 0.479 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.479 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi1 0.479 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 0.479 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.479 * [taylor]: Taking taylor expansion of -1 in phi1 0.479 * [taylor]: Taking taylor expansion of phi1 in phi1 0.480 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in phi1 0.480 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 0.480 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.480 * [taylor]: Taking taylor expansion of -1 in phi1 0.480 * [taylor]: Taking taylor expansion of phi2 in phi1 0.480 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in phi1 0.480 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi1 0.480 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 0.480 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.480 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 0.480 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.482 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi2 0.482 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 0.482 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.482 * [taylor]: Taking taylor expansion of -1 in phi2 0.482 * [taylor]: Taking taylor expansion of phi1 in phi2 0.482 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in phi2 0.482 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 0.483 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.483 * [taylor]: Taking taylor expansion of -1 in phi2 0.483 * [taylor]: Taking taylor expansion of phi2 in phi2 0.483 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in phi2 0.483 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi2 0.483 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 0.483 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.483 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 0.483 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.485 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda1 0.485 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 0.485 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 0.485 * [taylor]: Taking taylor expansion of -1 in lambda1 0.485 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.486 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda1 0.486 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 0.486 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 0.486 * [taylor]: Taking taylor expansion of -1 in lambda1 0.486 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.486 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.486 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.486 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.486 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.486 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.486 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.489 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda2 0.489 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 0.489 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 0.489 * [taylor]: Taking taylor expansion of -1 in lambda2 0.489 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.489 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda2 0.489 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 0.489 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 0.489 * [taylor]: Taking taylor expansion of -1 in lambda2 0.489 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.489 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.489 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.489 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.489 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.490 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.490 * [taylor]: Taking taylor expansion of lambda1 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 0.506 * [taylor]: Taking taylor expansion of 0 in lambda1 0.506 * [taylor]: Taking taylor expansion of 0 in lambda2 0.509 * [taylor]: Taking taylor expansion of 0 in lambda2 0.519 * [taylor]: Taking taylor expansion of 0 in phi2 0.519 * [taylor]: Taking taylor expansion of 0 in lambda1 0.519 * [taylor]: Taking taylor expansion of 0 in lambda2 0.519 * [taylor]: Taking taylor expansion of 0 in lambda1 0.519 * [taylor]: Taking taylor expansion of 0 in lambda2 0.520 * * * [progress]: simplifying candidates 0.521 * [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))) 0.526 * * [simplify]: iteration 0 : 264 enodes (cost 773 ) 0.530 * * [simplify]: iteration 1 : 1022 enodes (cost 656 ) 0.550 * * [simplify]: iteration 2 : 4705 enodes (cost 656 ) 0.621 * * [simplify]: iteration 3 : 5002 enodes (cost 656 ) 0.624 * [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))) 0.624 * * * [progress]: adding candidates to table 0.852 * * [progress]: iteration 2 / 4 0.852 * * * [progress]: picking best candidate 0.910 * * * * [pick]: Picked # 0.910 * * * [progress]: localizing error 0.941 * * * [progress]: generating rewritten candidates 0.941 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.943 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.949 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2 2) 0.954 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 0.966 * * * [progress]: generating series expansions 0.966 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.966 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 0.966 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 0.967 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 0.967 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 0.967 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 0.968 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 0.968 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 0.969 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 0.969 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 0.970 * [taylor]: Taking taylor expansion of 0 in phi2 0.970 * [taylor]: Taking taylor expansion of 0 in lambda1 0.970 * [taylor]: Taking taylor expansion of 0 in lambda2 0.970 * [taylor]: Taking taylor expansion of 0 in lambda1 0.970 * [taylor]: Taking taylor expansion of 0 in lambda2 0.970 * [taylor]: Taking taylor expansion of 0 in lambda2 0.970 * [taylor]: Taking taylor expansion of 0 in phi2 0.970 * [taylor]: Taking taylor expansion of 0 in lambda1 0.970 * [taylor]: Taking taylor expansion of 0 in lambda2 0.970 * [taylor]: Taking taylor expansion of 0 in lambda1 0.970 * [taylor]: Taking taylor expansion of 0 in lambda2 0.971 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 0.971 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 0.971 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 0.972 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 0.972 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 0.973 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 0.973 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 0.974 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 0.974 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 0.976 * [taylor]: Taking taylor expansion of 0 in phi2 0.976 * [taylor]: Taking taylor expansion of 0 in lambda1 0.976 * [taylor]: Taking taylor expansion of 0 in lambda2 0.976 * [taylor]: Taking taylor expansion of 0 in lambda1 0.976 * [taylor]: Taking taylor expansion of 0 in lambda2 0.976 * [taylor]: Taking taylor expansion of 0 in lambda2 0.976 * [taylor]: Taking taylor expansion of 0 in phi2 0.976 * [taylor]: Taking taylor expansion of 0 in lambda1 0.976 * [taylor]: Taking taylor expansion of 0 in lambda2 0.976 * [taylor]: Taking taylor expansion of 0 in lambda1 0.976 * [taylor]: Taking taylor expansion of 0 in lambda2 0.977 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 0.977 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 0.977 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 0.978 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 0.978 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 0.979 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 0.979 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 0.980 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 0.980 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 0.981 * [taylor]: Taking taylor expansion of 0 in phi2 0.981 * [taylor]: Taking taylor expansion of 0 in lambda1 0.981 * [taylor]: Taking taylor expansion of 0 in lambda2 0.981 * [taylor]: Taking taylor expansion of 0 in lambda1 0.981 * [taylor]: Taking taylor expansion of 0 in lambda2 0.982 * [taylor]: Taking taylor expansion of 0 in lambda2 0.982 * [taylor]: Taking taylor expansion of 0 in phi2 0.982 * [taylor]: Taking taylor expansion of 0 in lambda1 0.982 * [taylor]: Taking taylor expansion of 0 in lambda2 0.982 * [taylor]: Taking taylor expansion of 0 in lambda1 0.982 * [taylor]: Taking taylor expansion of 0 in lambda2 0.982 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.983 * [approximate]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 0.983 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R 0.983 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 0.983 * [taylor]: Taking taylor expansion of R in R 0.983 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2 0.983 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 0.984 * [taylor]: Taking taylor expansion of R in lambda2 0.984 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1 0.984 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 0.984 * [taylor]: Taking taylor expansion of R in lambda1 0.984 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2 0.984 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 0.984 * [taylor]: Taking taylor expansion of R in phi2 0.984 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1 0.984 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 0.985 * [taylor]: Taking taylor expansion of R in phi1 0.985 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1 0.985 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 0.985 * [taylor]: Taking taylor expansion of R in phi1 0.986 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2 0.986 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 0.986 * [taylor]: Taking taylor expansion of R in phi2 0.986 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1 0.986 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 0.987 * [taylor]: Taking taylor expansion of R in lambda1 0.987 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2 0.987 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 0.987 * [taylor]: Taking taylor expansion of R in lambda2 0.988 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R 0.988 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 0.988 * [taylor]: Taking taylor expansion of R in R 0.989 * [taylor]: Taking taylor expansion of 0 in phi2 0.989 * [taylor]: Taking taylor expansion of 0 in lambda1 0.989 * [taylor]: Taking taylor expansion of 0 in lambda2 0.989 * [taylor]: Taking taylor expansion of 0 in R 0.989 * [taylor]: Taking taylor expansion of 0 in lambda1 0.989 * [taylor]: Taking taylor expansion of 0 in lambda2 0.990 * [taylor]: Taking taylor expansion of 0 in R 0.990 * [taylor]: Taking taylor expansion of 0 in lambda2 0.990 * [taylor]: Taking taylor expansion of 0 in R 0.990 * [taylor]: Taking taylor expansion of 0 in R 0.992 * [taylor]: Taking taylor expansion of 0 in phi2 0.992 * [taylor]: Taking taylor expansion of 0 in lambda1 0.992 * [taylor]: Taking taylor expansion of 0 in lambda2 0.992 * [taylor]: Taking taylor expansion of 0 in R 0.993 * [taylor]: Taking taylor expansion of 0 in lambda1 0.993 * [taylor]: Taking taylor expansion of 0 in lambda2 0.993 * [taylor]: Taking taylor expansion of 0 in R 0.993 * [taylor]: Taking taylor expansion of 0 in lambda1 0.993 * [taylor]: Taking taylor expansion of 0 in lambda2 0.993 * [taylor]: Taking taylor expansion of 0 in R 0.993 * [taylor]: Taking taylor expansion of 0 in lambda2 0.993 * [taylor]: Taking taylor expansion of 0 in R 0.993 * [taylor]: Taking taylor expansion of 0 in lambda2 0.993 * [taylor]: Taking taylor expansion of 0 in R 0.994 * [taylor]: Taking taylor expansion of 0 in lambda2 0.994 * [taylor]: Taking taylor expansion of 0 in R 0.995 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 0.995 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 0.995 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 0.996 * [taylor]: Taking taylor expansion of R in R 0.996 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 0.996 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 0.997 * [taylor]: Taking taylor expansion of R in lambda2 0.997 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 0.997 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 0.998 * [taylor]: Taking taylor expansion of R in lambda1 0.998 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 0.998 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 0.999 * [taylor]: Taking taylor expansion of R in phi2 0.999 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 0.999 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.000 * [taylor]: Taking taylor expansion of R in phi1 1.000 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.000 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.001 * [taylor]: Taking taylor expansion of R in phi1 1.001 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.001 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.002 * [taylor]: Taking taylor expansion of R in phi2 1.002 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.003 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.003 * [taylor]: Taking taylor expansion of R in lambda1 1.004 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.004 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.004 * [taylor]: Taking taylor expansion of R in lambda2 1.005 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.005 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.005 * [taylor]: Taking taylor expansion of R in R 1.007 * [taylor]: Taking taylor expansion of 0 in phi2 1.007 * [taylor]: Taking taylor expansion of 0 in lambda1 1.007 * [taylor]: Taking taylor expansion of 0 in lambda2 1.007 * [taylor]: Taking taylor expansion of 0 in R 1.007 * [taylor]: Taking taylor expansion of 0 in lambda1 1.007 * [taylor]: Taking taylor expansion of 0 in lambda2 1.007 * [taylor]: Taking taylor expansion of 0 in R 1.008 * [taylor]: Taking taylor expansion of 0 in lambda2 1.008 * [taylor]: Taking taylor expansion of 0 in R 1.009 * [taylor]: Taking taylor expansion of 0 in R 1.010 * [taylor]: Taking taylor expansion of 0 in phi2 1.011 * [taylor]: Taking taylor expansion of 0 in lambda1 1.011 * [taylor]: Taking taylor expansion of 0 in lambda2 1.011 * [taylor]: Taking taylor expansion of 0 in R 1.011 * [taylor]: Taking taylor expansion of 0 in lambda1 1.011 * [taylor]: Taking taylor expansion of 0 in lambda2 1.011 * [taylor]: Taking taylor expansion of 0 in R 1.011 * [taylor]: Taking taylor expansion of 0 in lambda1 1.011 * [taylor]: Taking taylor expansion of 0 in lambda2 1.011 * [taylor]: Taking taylor expansion of 0 in R 1.011 * [taylor]: Taking taylor expansion of 0 in lambda2 1.011 * [taylor]: Taking taylor expansion of 0 in R 1.011 * [taylor]: Taking taylor expansion of 0 in lambda2 1.011 * [taylor]: Taking taylor expansion of 0 in R 1.012 * [taylor]: Taking taylor expansion of 0 in lambda2 1.012 * [taylor]: Taking taylor expansion of 0 in R 1.012 * [taylor]: Taking taylor expansion of 0 in R 1.012 * [taylor]: Taking taylor expansion of 0 in R 1.012 * [taylor]: Taking taylor expansion of 0 in R 1.013 * [taylor]: Taking taylor expansion of 0 in R 1.016 * [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 1.016 * [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 1.016 * [taylor]: Taking taylor expansion of -1 in R 1.016 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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 1.016 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.016 * [taylor]: Taking taylor expansion of R in R 1.017 * [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 1.017 * [taylor]: Taking taylor expansion of -1 in lambda2 1.017 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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 1.017 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.017 * [taylor]: Taking taylor expansion of R in lambda2 1.018 * [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 1.018 * [taylor]: Taking taylor expansion of -1 in lambda1 1.018 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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 1.018 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.018 * [taylor]: Taking taylor expansion of R in lambda1 1.019 * [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 1.019 * [taylor]: Taking taylor expansion of -1 in phi2 1.019 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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 1.019 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.020 * [taylor]: Taking taylor expansion of R in phi2 1.020 * [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 1.020 * [taylor]: Taking taylor expansion of -1 in phi1 1.020 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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 1.020 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.021 * [taylor]: Taking taylor expansion of R in phi1 1.021 * [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 1.021 * [taylor]: Taking taylor expansion of -1 in phi1 1.021 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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 1.021 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.022 * [taylor]: Taking taylor expansion of R in phi1 1.023 * [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 1.023 * [taylor]: Taking taylor expansion of -1 in phi2 1.023 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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 1.023 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.023 * [taylor]: Taking taylor expansion of R in phi2 1.024 * [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 1.024 * [taylor]: Taking taylor expansion of -1 in lambda1 1.024 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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 1.024 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.025 * [taylor]: Taking taylor expansion of R in lambda1 1.026 * [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 1.026 * [taylor]: Taking taylor expansion of -1 in lambda2 1.026 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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 1.026 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.027 * [taylor]: Taking taylor expansion of R in lambda2 1.028 * [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 1.028 * [taylor]: Taking taylor expansion of -1 in R 1.028 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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 1.028 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.028 * [taylor]: Taking taylor expansion of R in R 1.034 * [taylor]: Taking taylor expansion of 0 in phi2 1.034 * [taylor]: Taking taylor expansion of 0 in lambda1 1.034 * [taylor]: Taking taylor expansion of 0 in lambda2 1.034 * [taylor]: Taking taylor expansion of 0 in R 1.036 * [taylor]: Taking taylor expansion of 0 in lambda1 1.036 * [taylor]: Taking taylor expansion of 0 in lambda2 1.036 * [taylor]: Taking taylor expansion of 0 in R 1.037 * [taylor]: Taking taylor expansion of 0 in lambda2 1.037 * [taylor]: Taking taylor expansion of 0 in R 1.038 * [taylor]: Taking taylor expansion of 0 in R 1.042 * [taylor]: Taking taylor expansion of 0 in phi2 1.042 * [taylor]: Taking taylor expansion of 0 in lambda1 1.042 * [taylor]: Taking taylor expansion of 0 in lambda2 1.042 * [taylor]: Taking taylor expansion of 0 in R 1.042 * [taylor]: Taking taylor expansion of 0 in lambda1 1.042 * [taylor]: Taking taylor expansion of 0 in lambda2 1.042 * [taylor]: Taking taylor expansion of 0 in R 1.044 * [taylor]: Taking taylor expansion of 0 in lambda1 1.044 * [taylor]: Taking taylor expansion of 0 in lambda2 1.044 * [taylor]: Taking taylor expansion of 0 in R 1.044 * [taylor]: Taking taylor expansion of 0 in lambda2 1.044 * [taylor]: Taking taylor expansion of 0 in R 1.044 * [taylor]: Taking taylor expansion of 0 in lambda2 1.044 * [taylor]: Taking taylor expansion of 0 in R 1.046 * [taylor]: Taking taylor expansion of 0 in lambda2 1.046 * [taylor]: Taking taylor expansion of 0 in R 1.046 * [taylor]: Taking taylor expansion of 0 in R 1.046 * [taylor]: Taking taylor expansion of 0 in R 1.046 * [taylor]: Taking taylor expansion of 0 in R 1.048 * [taylor]: Taking taylor expansion of 0 in R 1.051 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2 2) 1.051 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 1.051 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 1.051 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 1.051 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.051 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.051 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.051 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.051 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.051 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.051 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.051 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.051 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.051 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.051 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.051 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.051 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.052 * [taylor]: Taking taylor expansion of 0 in lambda2 1.054 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.054 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.057 * [taylor]: Taking taylor expansion of 0 in lambda2 1.061 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2 1.061 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 1.061 * [taylor]: Taking taylor expansion of 1/6 in lambda2 1.061 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.061 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.067 * [taylor]: Taking taylor expansion of 0 in lambda2 1.067 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 1.067 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.067 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.067 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.067 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.067 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.067 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.067 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.068 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.068 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.068 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.068 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.068 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.068 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.068 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.068 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.068 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.068 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.068 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.069 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.069 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.069 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.069 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 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 (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 1.071 * [taylor]: Taking taylor expansion of 0 in lambda2 1.075 * [taylor]: Taking taylor expansion of 0 in lambda2 1.081 * [taylor]: Taking taylor expansion of 0 in lambda2 1.081 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 1.081 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.081 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.081 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.081 * [taylor]: Taking taylor expansion of -1 in lambda2 1.081 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.081 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.081 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.081 * [taylor]: Taking taylor expansion of -1 in lambda2 1.081 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.081 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.081 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.081 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.081 * [taylor]: Taking taylor expansion of -1 in lambda1 1.081 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.082 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.082 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.082 * [taylor]: Taking taylor expansion of -1 in lambda1 1.082 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.082 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.082 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.082 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.082 * [taylor]: Taking taylor expansion of -1 in lambda1 1.082 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.082 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.082 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.082 * [taylor]: Taking taylor expansion of -1 in lambda1 1.082 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.083 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.083 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.083 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.083 * [taylor]: Taking taylor expansion of -1 in lambda2 1.083 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.083 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.083 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.083 * [taylor]: Taking taylor expansion of -1 in lambda2 1.083 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.085 * [taylor]: Taking taylor expansion of 0 in lambda2 1.089 * [taylor]: Taking taylor expansion of 0 in lambda2 1.094 * [taylor]: Taking taylor expansion of 0 in lambda2 1.094 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 1.095 * [approximate]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in (phi1 phi2 lambda1 lambda2) around 0 1.095 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in lambda2 1.095 * [taylor]: Taking taylor expansion of (cos phi1) in lambda2 1.095 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.095 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in lambda2 1.095 * [taylor]: Taking taylor expansion of (cos phi2) in lambda2 1.095 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.095 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in lambda2 1.095 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda2 1.095 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda2 1.095 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.095 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 1.095 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.095 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 1.095 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 1.095 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.095 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.095 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.095 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in lambda1 1.095 * [taylor]: Taking taylor expansion of (cos phi1) in lambda1 1.095 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.095 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in lambda1 1.095 * [taylor]: Taking taylor expansion of (cos phi2) in lambda1 1.095 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.095 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in lambda1 1.095 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 1.095 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 1.095 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.095 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 1.095 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.095 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.095 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.095 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.095 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.095 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.095 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in phi2 1.095 * [taylor]: Taking taylor expansion of (cos phi1) in phi2 1.095 * [taylor]: Taking taylor expansion of phi1 in phi2 1.096 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in phi2 1.096 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 1.096 * [taylor]: Taking taylor expansion of phi2 in phi2 1.096 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in phi2 1.096 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi2 1.096 * [taylor]: Taking taylor expansion of (cos lambda1) in phi2 1.096 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.096 * [taylor]: Taking taylor expansion of (cos lambda2) in phi2 1.096 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.096 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi2 1.096 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 1.096 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.096 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 1.096 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.096 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in phi1 1.096 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 1.096 * [taylor]: Taking taylor expansion of phi1 in phi1 1.096 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in phi1 1.096 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 1.096 * [taylor]: Taking taylor expansion of phi2 in phi1 1.096 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in phi1 1.096 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi1 1.096 * [taylor]: Taking taylor expansion of (cos lambda1) in phi1 1.096 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.096 * [taylor]: Taking taylor expansion of (cos lambda2) in phi1 1.096 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.096 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi1 1.096 * [taylor]: Taking taylor expansion of (sin lambda1) in phi1 1.096 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.096 * [taylor]: Taking taylor expansion of (sin lambda2) in phi1 1.096 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.096 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in phi1 1.096 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 1.096 * [taylor]: Taking taylor expansion of phi1 in phi1 1.096 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in phi1 1.096 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 1.096 * [taylor]: Taking taylor expansion of phi2 in phi1 1.096 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in phi1 1.096 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi1 1.096 * [taylor]: Taking taylor expansion of (cos lambda1) in phi1 1.096 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.097 * [taylor]: Taking taylor expansion of (cos lambda2) in phi1 1.097 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.097 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi1 1.097 * [taylor]: Taking taylor expansion of (sin lambda1) in phi1 1.097 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.097 * [taylor]: Taking taylor expansion of (sin lambda2) in phi1 1.097 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.098 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in phi2 1.098 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 1.098 * [taylor]: Taking taylor expansion of phi2 in phi2 1.098 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in phi2 1.098 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi2 1.098 * [taylor]: Taking taylor expansion of (cos lambda1) in phi2 1.098 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.098 * [taylor]: Taking taylor expansion of (cos lambda2) in phi2 1.098 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.098 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi2 1.098 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 1.098 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.098 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 1.099 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.100 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in lambda1 1.100 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 1.100 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 1.100 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.100 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 1.100 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.100 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.100 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.100 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.100 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.100 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.100 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 1.100 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.109 * [taylor]: Taking taylor expansion of 0 in phi2 1.109 * [taylor]: Taking taylor expansion of 0 in lambda1 1.109 * [taylor]: Taking taylor expansion of 0 in lambda2 1.120 * [taylor]: Taking taylor expansion of 0 in lambda1 1.120 * [taylor]: Taking taylor expansion of 0 in lambda2 1.124 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.124 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.137 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* (cos lambda1) (* (cos phi2) (cos lambda2)))) (* 1/2 (* (sin lambda1) (* (cos phi2) (sin lambda2)))))) in phi2 1.137 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (cos lambda1) (* (cos phi2) (cos lambda2)))) (* 1/2 (* (sin lambda1) (* (cos phi2) (sin lambda2))))) in phi2 1.137 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos lambda1) (* (cos phi2) (cos lambda2)))) in phi2 1.137 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.137 * [taylor]: Taking taylor expansion of (* (cos lambda1) (* (cos phi2) (cos lambda2))) in phi2 1.137 * [taylor]: Taking taylor expansion of (cos lambda1) in phi2 1.137 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.137 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos lambda2)) in phi2 1.137 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 1.137 * [taylor]: Taking taylor expansion of phi2 in phi2 1.137 * [taylor]: Taking taylor expansion of (cos lambda2) in phi2 1.137 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.137 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (* (cos phi2) (sin lambda2)))) in phi2 1.137 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.137 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi2) (sin lambda2))) in phi2 1.137 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 1.137 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.137 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in phi2 1.137 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 1.137 * [taylor]: Taking taylor expansion of phi2 in phi2 1.137 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 1.137 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.138 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* (cos lambda1) (cos lambda2))) (* 1/2 (* (sin lambda1) (sin lambda2))))) in lambda1 1.138 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (cos lambda1) (cos lambda2))) (* 1/2 (* (sin lambda1) (sin lambda2)))) in lambda1 1.138 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos lambda1) (cos lambda2))) in lambda1 1.138 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.138 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 1.138 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 1.138 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.138 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 1.138 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.138 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (sin lambda2))) in lambda1 1.138 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.138 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.139 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.139 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.139 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.139 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.139 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos lambda2))) in lambda2 1.139 * [taylor]: Taking taylor expansion of (* 1/2 (cos lambda2)) in lambda2 1.139 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.139 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 1.139 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.140 * [taylor]: Taking taylor expansion of 0 in lambda1 1.140 * [taylor]: Taking taylor expansion of 0 in lambda2 1.150 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* (cos lambda1) (cos lambda2))) (* 1/2 (* (sin lambda1) (sin lambda2))))) in lambda1 1.150 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (cos lambda1) (cos lambda2))) (* 1/2 (* (sin lambda1) (sin lambda2)))) in lambda1 1.150 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos lambda1) (cos lambda2))) in lambda1 1.150 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.150 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 1.150 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 1.150 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.150 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 1.150 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.150 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (sin lambda2))) in lambda1 1.150 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.150 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.150 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.150 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.150 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.150 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.151 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos lambda2))) in lambda2 1.151 * [taylor]: Taking taylor expansion of (* 1/2 (cos lambda2)) in lambda2 1.151 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.151 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 1.151 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.152 * [approximate]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in (phi1 phi2 lambda1 lambda2) around 0 1.152 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in lambda2 1.152 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 1.152 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.152 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.152 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in lambda2 1.152 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 1.152 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.152 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.152 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda2 1.152 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.152 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.152 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.152 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.152 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.152 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.152 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.153 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda2 1.153 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda2 1.153 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.153 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.153 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda2 1.153 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.153 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.153 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in lambda1 1.153 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 1.153 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.153 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.153 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in lambda1 1.153 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 1.153 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.153 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.153 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda1 1.153 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.153 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.153 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.154 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.154 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.154 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.154 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.154 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda1 1.154 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda1 1.154 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.154 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.154 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda1 1.154 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.154 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.154 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in phi2 1.154 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 1.154 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.154 * [taylor]: Taking taylor expansion of phi2 in phi2 1.155 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in phi2 1.155 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 1.155 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.155 * [taylor]: Taking taylor expansion of phi1 in phi2 1.155 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi2 1.155 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in phi2 1.155 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi2 1.155 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.155 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.155 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi2 1.155 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.155 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.155 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi2 1.155 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi2 1.155 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.155 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.155 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi2 1.155 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.155 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.155 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in phi1 1.155 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 1.155 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.155 * [taylor]: Taking taylor expansion of phi2 in phi1 1.156 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in phi1 1.156 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 1.156 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.156 * [taylor]: Taking taylor expansion of phi1 in phi1 1.156 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi1 1.156 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in phi1 1.156 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi1 1.156 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.156 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.156 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi1 1.156 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.156 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.156 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi1 1.156 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi1 1.156 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.156 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.156 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi1 1.156 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.156 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.156 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in phi1 1.156 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 1.156 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.156 * [taylor]: Taking taylor expansion of phi2 in phi1 1.157 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in phi1 1.157 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 1.157 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.157 * [taylor]: Taking taylor expansion of phi1 in phi1 1.157 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi1 1.157 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in phi1 1.157 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi1 1.157 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.157 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.157 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi1 1.157 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.157 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.157 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi1 1.157 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi1 1.157 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.157 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.157 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi1 1.157 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.157 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.159 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in phi2 1.159 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 1.159 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.159 * [taylor]: Taking taylor expansion of phi2 in phi2 1.160 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in phi2 1.160 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 1.160 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.160 * [taylor]: Taking taylor expansion of phi1 in phi2 1.160 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi2 1.160 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in phi2 1.160 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi2 1.160 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.160 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.160 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi2 1.160 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.160 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.160 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi2 1.160 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi2 1.160 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.160 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.160 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi2 1.160 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.160 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.162 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in lambda1 1.162 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 1.162 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.162 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.162 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in lambda1 1.162 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 1.162 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.162 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.162 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda1 1.162 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.162 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.162 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.163 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.163 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.163 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.163 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.163 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda1 1.163 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda1 1.163 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.163 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.163 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda1 1.163 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.163 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.165 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in lambda2 1.165 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 1.165 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.165 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.165 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in lambda2 1.165 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 1.165 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.165 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.165 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda2 1.165 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.165 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.165 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.165 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.166 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.166 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.166 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.166 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda2 1.166 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda2 1.166 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.166 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.166 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda2 1.166 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.166 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.177 * [taylor]: Taking taylor expansion of 0 in phi2 1.178 * [taylor]: Taking taylor expansion of 0 in lambda1 1.178 * [taylor]: Taking taylor expansion of 0 in lambda2 1.187 * [taylor]: Taking taylor expansion of 0 in lambda1 1.187 * [taylor]: Taking taylor expansion of 0 in lambda2 1.194 * [taylor]: Taking taylor expansion of 0 in lambda2 1.218 * [taylor]: Taking taylor expansion of 0 in phi2 1.218 * [taylor]: Taking taylor expansion of 0 in lambda1 1.218 * [taylor]: Taking taylor expansion of 0 in lambda2 1.218 * [taylor]: Taking taylor expansion of 0 in lambda1 1.218 * [taylor]: Taking taylor expansion of 0 in lambda2 1.219 * [approximate]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in (phi1 phi2 lambda1 lambda2) around 0 1.219 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in lambda2 1.219 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 1.219 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 1.219 * [taylor]: Taking taylor expansion of -1 in lambda2 1.219 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.219 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in lambda2 1.219 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 1.219 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 1.219 * [taylor]: Taking taylor expansion of -1 in lambda2 1.219 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.219 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in lambda2 1.219 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda2 1.219 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda2 1.219 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.219 * [taylor]: Taking taylor expansion of -1 in lambda2 1.219 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.219 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda2 1.219 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.219 * [taylor]: Taking taylor expansion of -1 in lambda2 1.219 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.219 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.219 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.219 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.220 * [taylor]: Taking taylor expansion of -1 in lambda2 1.220 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.220 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.220 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.220 * [taylor]: Taking taylor expansion of -1 in lambda2 1.220 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.220 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in lambda1 1.220 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 1.220 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 1.220 * [taylor]: Taking taylor expansion of -1 in lambda1 1.220 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.220 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in lambda1 1.220 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 1.220 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 1.220 * [taylor]: Taking taylor expansion of -1 in lambda1 1.220 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.220 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in lambda1 1.220 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda1 1.220 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda1 1.220 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.220 * [taylor]: Taking taylor expansion of -1 in lambda1 1.220 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.221 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda1 1.221 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.221 * [taylor]: Taking taylor expansion of -1 in lambda1 1.221 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.221 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.221 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.221 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.221 * [taylor]: Taking taylor expansion of -1 in lambda1 1.221 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.221 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.221 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.221 * [taylor]: Taking taylor expansion of -1 in lambda1 1.221 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.221 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in phi2 1.221 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 1.221 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.221 * [taylor]: Taking taylor expansion of -1 in phi2 1.221 * [taylor]: Taking taylor expansion of phi1 in phi2 1.222 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in phi2 1.222 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 1.222 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.222 * [taylor]: Taking taylor expansion of -1 in phi2 1.222 * [taylor]: Taking taylor expansion of phi2 in phi2 1.222 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in phi2 1.222 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi2 1.222 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi2 1.222 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 1.222 * [taylor]: Taking taylor expansion of -1 in phi2 1.222 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.222 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi2 1.222 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 1.222 * [taylor]: Taking taylor expansion of -1 in phi2 1.222 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.222 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in phi2 1.222 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi2 1.222 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 1.222 * [taylor]: Taking taylor expansion of -1 in phi2 1.222 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.222 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi2 1.222 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 1.222 * [taylor]: Taking taylor expansion of -1 in phi2 1.222 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.223 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in phi1 1.223 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 1.223 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.223 * [taylor]: Taking taylor expansion of -1 in phi1 1.223 * [taylor]: Taking taylor expansion of phi1 in phi1 1.223 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in phi1 1.223 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 1.223 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.223 * [taylor]: Taking taylor expansion of -1 in phi1 1.223 * [taylor]: Taking taylor expansion of phi2 in phi1 1.223 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in phi1 1.223 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi1 1.223 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi1 1.223 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 1.223 * [taylor]: Taking taylor expansion of -1 in phi1 1.223 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.223 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi1 1.223 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 1.223 * [taylor]: Taking taylor expansion of -1 in phi1 1.223 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.223 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in phi1 1.223 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi1 1.223 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 1.223 * [taylor]: Taking taylor expansion of -1 in phi1 1.223 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.224 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi1 1.224 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 1.224 * [taylor]: Taking taylor expansion of -1 in phi1 1.224 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.224 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in phi1 1.224 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 1.224 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.224 * [taylor]: Taking taylor expansion of -1 in phi1 1.224 * [taylor]: Taking taylor expansion of phi1 in phi1 1.224 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in phi1 1.224 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 1.224 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.224 * [taylor]: Taking taylor expansion of -1 in phi1 1.224 * [taylor]: Taking taylor expansion of phi2 in phi1 1.224 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in phi1 1.224 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi1 1.224 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi1 1.224 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 1.224 * [taylor]: Taking taylor expansion of -1 in phi1 1.225 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.225 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi1 1.225 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 1.225 * [taylor]: Taking taylor expansion of -1 in phi1 1.225 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.225 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in phi1 1.225 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi1 1.225 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 1.225 * [taylor]: Taking taylor expansion of -1 in phi1 1.225 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.225 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi1 1.225 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 1.225 * [taylor]: Taking taylor expansion of -1 in phi1 1.225 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.227 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in phi2 1.227 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 1.227 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.227 * [taylor]: Taking taylor expansion of -1 in phi2 1.227 * [taylor]: Taking taylor expansion of phi1 in phi2 1.227 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in phi2 1.227 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 1.227 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.227 * [taylor]: Taking taylor expansion of -1 in phi2 1.227 * [taylor]: Taking taylor expansion of phi2 in phi2 1.227 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in phi2 1.228 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi2 1.228 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi2 1.228 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 1.228 * [taylor]: Taking taylor expansion of -1 in phi2 1.228 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.228 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi2 1.228 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 1.228 * [taylor]: Taking taylor expansion of -1 in phi2 1.228 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.228 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in phi2 1.228 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi2 1.228 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 1.228 * [taylor]: Taking taylor expansion of -1 in phi2 1.228 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.228 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi2 1.228 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 1.228 * [taylor]: Taking taylor expansion of -1 in phi2 1.228 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.230 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in lambda1 1.230 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 1.230 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 1.230 * [taylor]: Taking taylor expansion of -1 in lambda1 1.230 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.230 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in lambda1 1.230 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 1.230 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 1.230 * [taylor]: Taking taylor expansion of -1 in lambda1 1.230 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.230 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in lambda1 1.230 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda1 1.230 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda1 1.230 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.230 * [taylor]: Taking taylor expansion of -1 in lambda1 1.230 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.231 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda1 1.231 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.231 * [taylor]: Taking taylor expansion of -1 in lambda1 1.231 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.231 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.231 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.231 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.231 * [taylor]: Taking taylor expansion of -1 in lambda1 1.231 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.231 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.231 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.231 * [taylor]: Taking taylor expansion of -1 in lambda1 1.231 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.233 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in lambda2 1.233 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 1.233 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 1.233 * [taylor]: Taking taylor expansion of -1 in lambda2 1.233 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.233 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in lambda2 1.233 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 1.233 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 1.233 * [taylor]: Taking taylor expansion of -1 in lambda2 1.233 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.233 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in lambda2 1.233 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda2 1.233 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda2 1.233 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.233 * [taylor]: Taking taylor expansion of -1 in lambda2 1.233 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.234 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda2 1.234 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.234 * [taylor]: Taking taylor expansion of -1 in lambda2 1.234 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.234 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.234 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.234 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.234 * [taylor]: Taking taylor expansion of -1 in lambda2 1.234 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.234 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.234 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.234 * [taylor]: Taking taylor expansion of -1 in lambda2 1.234 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.246 * [taylor]: Taking taylor expansion of 0 in phi2 1.246 * [taylor]: Taking taylor expansion of 0 in lambda1 1.246 * [taylor]: Taking taylor expansion of 0 in lambda2 1.255 * [taylor]: Taking taylor expansion of 0 in lambda1 1.255 * [taylor]: Taking taylor expansion of 0 in lambda2 1.262 * [taylor]: Taking taylor expansion of 0 in lambda2 1.282 * [taylor]: Taking taylor expansion of 0 in phi2 1.282 * [taylor]: Taking taylor expansion of 0 in lambda1 1.282 * [taylor]: Taking taylor expansion of 0 in lambda2 1.282 * [taylor]: Taking taylor expansion of 0 in lambda1 1.282 * [taylor]: Taking taylor expansion of 0 in lambda2 1.283 * * * [progress]: simplifying candidates 1.284 * [simplify]: Simplifying using # : (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (- (cos (- 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) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (+ (+ (log (cos phi1)) (log (cos phi2))) (log (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (+ (log (* (cos phi1) (cos phi2))) (log (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (log (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (exp (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))) (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))) (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (sqrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (sqrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (* (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) 2) (* 2 (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))))) (* 2 (* 2 2)) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (* 2 (+ (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (- (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (* 2 (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))) (* (* (cos phi1) (cos phi2)) (* (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (* (cos phi1) (cos phi2)) (sqrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (cos phi1) (cos phi2)) 1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (+ (* (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) 2) (* 2 (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))))) (* (* (cos phi1) (cos phi2)) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (* (* (cos phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (- 1 (+ (* 1/2 (pow phi1 2)) (* 1/2 (pow phi2 2)))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) 1.291 * * [simplify]: iteration 0 : 473 enodes (cost 1301 ) 1.300 * * [simplify]: iteration 1 : 2144 enodes (cost 1097 ) 1.341 * * [simplify]: iteration 2 : 5002 enodes (cost 1096 ) 1.350 * [simplify]: Simplified to: (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (- (cos (- 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) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (log (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (log (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (log (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (exp (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (pow (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 3) (pow (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 3) (* (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (pow (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 3) (sqrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (sqrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) 2) (+ (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))))) 8 (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (* (+ (* (* (sin lambda1) (sin lambda2)) (- (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2)))) 2) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (* 2 (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (* (cos phi1) (cos phi2)) (sqrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (cos phi1) (cos phi2)) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (* (cos phi1) (cos phi2)) (* 2 (+ (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2)))))) (* (* (cos phi1) (cos phi2)) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (* (* (cos phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (- 1 (+ (* 1/2 (pow phi1 2)) (* 1/2 (pow phi2 2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 1.350 * * * [progress]: adding candidates to table 1.663 * * [progress]: iteration 3 / 4 1.663 * * * [progress]: picking best candidate 1.743 * * * * [pick]: Picked # 1.744 * * * [progress]: localizing error 1.778 * * * [progress]: generating rewritten candidates 1.779 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 1.780 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.783 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.785 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.795 * * * [progress]: generating series expansions 1.795 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 1.795 * [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 1.795 * [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 lambda2 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 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 phi1 1.797 * [taylor]: Taking 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 1.797 * [taylor]: Taking 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 1.798 * [taylor]: Taking 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 1.798 * [taylor]: Taking 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 1.799 * [taylor]: Taking taylor expansion of 0 in phi2 1.799 * [taylor]: Taking taylor expansion of 0 in lambda1 1.799 * [taylor]: Taking taylor expansion of 0 in lambda2 1.799 * [taylor]: Taking taylor expansion of 0 in lambda1 1.799 * [taylor]: Taking taylor expansion of 0 in lambda2 1.799 * [taylor]: Taking taylor expansion of 0 in lambda2 1.799 * [taylor]: Taking taylor expansion of 0 in phi2 1.799 * [taylor]: Taking taylor expansion of 0 in lambda1 1.799 * [taylor]: Taking taylor expansion of 0 in lambda2 1.799 * [taylor]: Taking taylor expansion of 0 in lambda1 1.799 * [taylor]: Taking taylor expansion of 0 in lambda2 1.800 * [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 1.800 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.800 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.801 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.801 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.802 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.802 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.803 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.803 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.804 * [taylor]: Taking taylor expansion of 0 in phi2 1.804 * [taylor]: Taking taylor expansion of 0 in lambda1 1.804 * [taylor]: Taking taylor expansion of 0 in lambda2 1.804 * [taylor]: Taking taylor expansion of 0 in lambda1 1.804 * [taylor]: Taking taylor expansion of 0 in lambda2 1.804 * [taylor]: Taking taylor expansion of 0 in lambda2 1.804 * [taylor]: Taking taylor expansion of 0 in phi2 1.804 * [taylor]: Taking taylor expansion of 0 in lambda1 1.804 * [taylor]: Taking taylor expansion of 0 in lambda2 1.804 * [taylor]: Taking taylor expansion of 0 in lambda1 1.805 * [taylor]: Taking taylor expansion of 0 in lambda2 1.806 * [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 1.806 * [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 lambda2 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 lambda1 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 phi1 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 phi1 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 phi2 1.809 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.809 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.810 * [taylor]: Taking taylor expansion of 0 in phi2 1.810 * [taylor]: Taking taylor expansion of 0 in lambda1 1.810 * [taylor]: Taking taylor expansion of 0 in lambda2 1.810 * [taylor]: Taking taylor expansion of 0 in lambda1 1.810 * [taylor]: Taking taylor expansion of 0 in lambda2 1.810 * [taylor]: Taking taylor expansion of 0 in lambda2 1.810 * [taylor]: Taking taylor expansion of 0 in phi2 1.810 * [taylor]: Taking taylor expansion of 0 in lambda1 1.810 * [taylor]: Taking taylor expansion of 0 in lambda2 1.810 * [taylor]: Taking taylor expansion of 0 in lambda1 1.810 * [taylor]: Taking taylor expansion of 0 in lambda2 1.811 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.811 * [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 1.812 * [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 lambda2 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 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))))))) 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 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))))))) 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))))))) 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))))))) 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 lambda2 1.815 * [taylor]: Taking taylor expansion of 0 in phi2 1.815 * [taylor]: Taking taylor expansion of 0 in lambda1 1.815 * [taylor]: Taking taylor expansion of 0 in lambda2 1.815 * [taylor]: Taking taylor expansion of 0 in lambda1 1.815 * [taylor]: Taking taylor expansion of 0 in lambda2 1.815 * [taylor]: Taking taylor expansion of 0 in lambda2 1.815 * [taylor]: Taking taylor expansion of 0 in phi2 1.815 * [taylor]: Taking taylor expansion of 0 in lambda1 1.815 * [taylor]: Taking taylor expansion of 0 in lambda2 1.815 * [taylor]: Taking taylor expansion of 0 in lambda1 1.815 * [taylor]: Taking taylor expansion of 0 in lambda2 1.816 * [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 1.816 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.816 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.817 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.817 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.818 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.818 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.819 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.819 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 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 1.821 * [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 lambda2 1.821 * [taylor]: Taking taylor expansion of 0 in phi2 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 lambda1 1.821 * [taylor]: Taking taylor expansion of 0 in lambda2 1.822 * [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 1.822 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.822 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.823 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.823 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.824 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.824 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.825 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.825 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.826 * [taylor]: Taking taylor expansion of 0 in phi2 1.826 * [taylor]: Taking taylor expansion of 0 in lambda1 1.826 * [taylor]: Taking taylor expansion of 0 in lambda2 1.826 * [taylor]: Taking taylor expansion of 0 in lambda1 1.826 * [taylor]: Taking taylor expansion of 0 in lambda2 1.827 * [taylor]: Taking taylor expansion of 0 in lambda2 1.827 * [taylor]: Taking taylor expansion of 0 in phi2 1.827 * [taylor]: Taking taylor expansion of 0 in lambda1 1.827 * [taylor]: Taking taylor expansion of 0 in lambda2 1.827 * [taylor]: Taking taylor expansion of 0 in lambda1 1.827 * [taylor]: Taking taylor expansion of 0 in lambda2 1.827 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.828 * [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 1.828 * [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 1.828 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.829 * [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 1.829 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.829 * [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 1.829 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.830 * [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 1.830 * [taylor]: Taking 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 1.831 * [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 1.831 * [taylor]: Taking 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 1.832 * [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 1.832 * [taylor]: Taking 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 1.833 * [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 1.833 * [taylor]: Taking 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 1.834 * [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 1.834 * [taylor]: Taking 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 1.839 * [taylor]: Taking taylor expansion of 0 in phi2 1.839 * [taylor]: Taking taylor expansion of 0 in lambda1 1.839 * [taylor]: Taking taylor expansion of 0 in lambda2 1.841 * [taylor]: Taking taylor expansion of 0 in lambda1 1.841 * [taylor]: Taking taylor expansion of 0 in lambda2 1.842 * [taylor]: Taking taylor expansion of 0 in lambda2 1.846 * [taylor]: Taking taylor expansion of 0 in phi2 1.846 * [taylor]: Taking taylor expansion of 0 in lambda1 1.846 * [taylor]: Taking taylor expansion of 0 in lambda2 1.846 * [taylor]: Taking taylor expansion of 0 in lambda1 1.846 * [taylor]: Taking taylor expansion of 0 in lambda2 1.848 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.848 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2 1.848 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.850 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1 1.850 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.852 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2 1.852 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.854 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1 1.854 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.856 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1 1.856 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.858 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2 1.858 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.860 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1 1.860 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.862 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2 1.862 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.867 * [taylor]: Taking taylor expansion of 0 in phi2 1.867 * [taylor]: Taking taylor expansion of 0 in lambda1 1.867 * [taylor]: Taking taylor expansion of 0 in lambda2 1.869 * [taylor]: Taking taylor expansion of 0 in lambda1 1.869 * [taylor]: Taking taylor expansion of 0 in lambda2 1.871 * [taylor]: Taking taylor expansion of 0 in lambda2 1.875 * [taylor]: Taking taylor expansion of 0 in phi2 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 lambda1 1.875 * [taylor]: Taking taylor expansion of 0 in lambda2 1.877 * [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 1.877 * [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 1.877 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.879 * [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 1.879 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.881 * [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 1.881 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.883 * [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 1.883 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.885 * [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 1.885 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.887 * [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 1.887 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.889 * [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 1.889 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.891 * [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 1.891 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.894 * [taylor]: Taking taylor expansion of 0 in phi2 1.894 * [taylor]: Taking taylor expansion of 0 in lambda1 1.894 * [taylor]: Taking taylor expansion of 0 in lambda2 1.895 * [taylor]: Taking taylor expansion of 0 in lambda1 1.895 * [taylor]: Taking taylor expansion of 0 in lambda2 1.896 * [taylor]: Taking taylor expansion of 0 in lambda2 1.902 * [taylor]: Taking taylor expansion of 0 in phi2 1.902 * [taylor]: Taking taylor expansion of 0 in lambda1 1.902 * [taylor]: Taking taylor expansion of 0 in lambda2 1.902 * [taylor]: Taking taylor expansion of 0 in lambda1 1.902 * [taylor]: Taking taylor expansion of 0 in lambda2 1.903 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.903 * [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 1.903 * [taylor]: Taking 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 1.903 * [taylor]: Taking 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 1.904 * [taylor]: Taking taylor expansion of R in R 1.904 * [taylor]: Taking 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 1.904 * [taylor]: Taking 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 1.904 * [taylor]: Taking taylor expansion of R in lambda2 1.904 * [taylor]: Taking 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 1.904 * [taylor]: Taking 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 1.904 * [taylor]: Taking taylor expansion of R in lambda1 1.904 * [taylor]: Taking 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 1.904 * [taylor]: Taking 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 1.905 * [taylor]: Taking taylor expansion of R in phi2 1.905 * [taylor]: Taking 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 1.905 * [taylor]: Taking 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 1.905 * [taylor]: Taking taylor expansion of R in phi1 1.905 * [taylor]: Taking 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 1.905 * [taylor]: Taking 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 1.906 * [taylor]: Taking taylor expansion of R in phi1 1.906 * [taylor]: Taking 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 1.906 * [taylor]: Taking 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 1.906 * [taylor]: Taking taylor expansion of R in phi2 1.907 * [taylor]: Taking 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 1.907 * [taylor]: Taking 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 1.907 * [taylor]: Taking taylor expansion of R in lambda1 1.908 * [taylor]: Taking 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 1.908 * [taylor]: Taking 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 1.908 * [taylor]: Taking taylor expansion of R in lambda2 1.908 * [taylor]: Taking 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 1.908 * [taylor]: Taking 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 1.909 * [taylor]: Taking taylor expansion of R in R 1.909 * [taylor]: Taking taylor expansion of 0 in phi2 1.909 * [taylor]: Taking taylor expansion of 0 in lambda1 1.910 * [taylor]: Taking taylor expansion of 0 in lambda2 1.910 * [taylor]: Taking taylor expansion of 0 in R 1.910 * [taylor]: Taking taylor expansion of 0 in lambda1 1.910 * [taylor]: Taking taylor expansion of 0 in lambda2 1.910 * [taylor]: Taking taylor expansion of 0 in R 1.910 * [taylor]: Taking taylor expansion of 0 in lambda2 1.910 * [taylor]: Taking taylor expansion of 0 in R 1.911 * [taylor]: Taking taylor expansion of 0 in R 1.913 * [taylor]: Taking taylor expansion of 0 in phi2 1.913 * [taylor]: Taking taylor expansion of 0 in lambda1 1.913 * [taylor]: Taking taylor expansion of 0 in lambda2 1.913 * [taylor]: Taking taylor expansion of 0 in R 1.913 * [taylor]: Taking taylor expansion of 0 in lambda1 1.913 * [taylor]: Taking taylor expansion of 0 in lambda2 1.913 * [taylor]: Taking taylor expansion of 0 in R 1.914 * [taylor]: Taking taylor expansion of 0 in lambda1 1.914 * [taylor]: Taking taylor expansion of 0 in lambda2 1.914 * [taylor]: Taking taylor expansion of 0 in R 1.914 * [taylor]: Taking taylor expansion of 0 in lambda2 1.914 * [taylor]: Taking taylor expansion of 0 in R 1.914 * [taylor]: Taking taylor expansion of 0 in lambda2 1.914 * [taylor]: Taking taylor expansion of 0 in R 1.914 * [taylor]: Taking taylor expansion of 0 in lambda2 1.915 * [taylor]: Taking taylor expansion of 0 in R 1.916 * [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 1.916 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 1.916 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 1.916 * [taylor]: Taking taylor expansion of R in R 1.917 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 1.917 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.917 * [taylor]: Taking taylor expansion of R in lambda2 1.918 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 1.918 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.919 * [taylor]: Taking taylor expansion of R in lambda1 1.919 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.919 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.920 * [taylor]: Taking taylor expansion of R in phi2 1.920 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.920 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.921 * [taylor]: Taking taylor expansion of R in phi1 1.921 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 1.921 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.922 * [taylor]: Taking taylor expansion of R in phi1 1.922 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 1.922 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.923 * [taylor]: Taking taylor expansion of R in phi2 1.923 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 1.923 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.924 * [taylor]: Taking taylor expansion of R in lambda1 1.924 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 1.924 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.925 * [taylor]: Taking taylor expansion of R in lambda2 1.925 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 1.925 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 1.926 * [taylor]: Taking taylor expansion of R in R 1.927 * [taylor]: Taking taylor expansion of 0 in phi2 1.927 * [taylor]: Taking taylor expansion of 0 in lambda1 1.927 * [taylor]: Taking taylor expansion of 0 in lambda2 1.927 * [taylor]: Taking taylor expansion of 0 in R 1.928 * [taylor]: Taking taylor expansion of 0 in lambda1 1.928 * [taylor]: Taking taylor expansion of 0 in lambda2 1.928 * [taylor]: Taking taylor expansion of 0 in R 1.929 * [taylor]: Taking taylor expansion of 0 in lambda2 1.929 * [taylor]: Taking taylor expansion of 0 in R 1.929 * [taylor]: Taking taylor expansion of 0 in R 1.931 * [taylor]: Taking taylor expansion of 0 in phi2 1.931 * [taylor]: Taking taylor expansion of 0 in lambda1 1.931 * [taylor]: Taking taylor expansion of 0 in lambda2 1.931 * [taylor]: Taking taylor expansion of 0 in R 1.931 * [taylor]: Taking taylor expansion of 0 in lambda1 1.931 * [taylor]: Taking taylor expansion of 0 in lambda2 1.931 * [taylor]: Taking taylor expansion of 0 in R 1.932 * [taylor]: Taking taylor expansion of 0 in lambda1 1.932 * [taylor]: Taking taylor expansion of 0 in lambda2 1.932 * [taylor]: Taking taylor expansion of 0 in R 1.932 * [taylor]: Taking taylor expansion of 0 in lambda2 1.932 * [taylor]: Taking taylor expansion of 0 in R 1.932 * [taylor]: Taking taylor expansion of 0 in lambda2 1.932 * [taylor]: Taking taylor expansion of 0 in R 1.933 * [taylor]: Taking taylor expansion of 0 in lambda2 1.933 * [taylor]: Taking taylor expansion of 0 in R 1.933 * [taylor]: Taking taylor expansion of 0 in R 1.933 * [taylor]: Taking taylor expansion of 0 in R 1.933 * [taylor]: Taking taylor expansion of 0 in R 1.933 * [taylor]: Taking taylor expansion of 0 in R 1.937 * [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 1.937 * [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 1.937 * [taylor]: Taking taylor expansion of -1 in R 1.937 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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 1.937 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.937 * [taylor]: Taking taylor expansion of R in R 1.938 * [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 1.938 * [taylor]: Taking taylor expansion of -1 in lambda2 1.938 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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 1.938 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.938 * [taylor]: Taking taylor expansion of R in lambda2 1.939 * [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 1.939 * [taylor]: Taking taylor expansion of -1 in lambda1 1.939 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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 1.939 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.939 * [taylor]: Taking taylor expansion of R in lambda1 1.940 * [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 1.940 * [taylor]: Taking taylor expansion of -1 in phi2 1.940 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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 1.940 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.940 * [taylor]: Taking taylor expansion of R in phi2 1.941 * [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 1.941 * [taylor]: Taking taylor expansion of -1 in phi1 1.941 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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 1.941 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.942 * [taylor]: Taking taylor expansion of R in phi1 1.942 * [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 1.942 * [taylor]: Taking taylor expansion of -1 in phi1 1.942 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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 1.942 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.943 * [taylor]: Taking taylor expansion of R in phi1 1.944 * [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 1.944 * [taylor]: Taking taylor expansion of -1 in phi2 1.944 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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 1.944 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.944 * [taylor]: Taking taylor expansion of R in phi2 1.945 * [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 1.945 * [taylor]: Taking taylor expansion of -1 in lambda1 1.945 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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 1.946 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.946 * [taylor]: Taking taylor expansion of R in lambda1 1.947 * [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 1.947 * [taylor]: Taking taylor expansion of -1 in lambda2 1.947 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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 1.947 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.948 * [taylor]: Taking taylor expansion of R in lambda2 1.949 * [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 1.949 * [taylor]: Taking taylor expansion of -1 in R 1.949 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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 1.949 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.949 * [taylor]: Taking taylor expansion of R in R 1.952 * [taylor]: Taking taylor expansion of 0 in phi2 1.952 * [taylor]: Taking taylor expansion of 0 in lambda1 1.952 * [taylor]: Taking taylor expansion of 0 in lambda2 1.952 * [taylor]: Taking taylor expansion of 0 in R 1.954 * [taylor]: Taking taylor expansion of 0 in lambda1 1.954 * [taylor]: Taking taylor expansion of 0 in lambda2 1.954 * [taylor]: Taking taylor expansion of 0 in R 1.955 * [taylor]: Taking taylor expansion of 0 in lambda2 1.955 * [taylor]: Taking taylor expansion of 0 in R 1.957 * [taylor]: Taking taylor expansion of 0 in R 1.960 * [taylor]: Taking taylor expansion of 0 in phi2 1.960 * [taylor]: Taking taylor expansion of 0 in lambda1 1.960 * [taylor]: Taking taylor expansion of 0 in lambda2 1.960 * [taylor]: Taking taylor expansion of 0 in R 1.960 * [taylor]: Taking taylor expansion of 0 in lambda1 1.961 * [taylor]: Taking taylor expansion of 0 in lambda2 1.961 * [taylor]: Taking taylor expansion of 0 in R 1.962 * [taylor]: Taking taylor expansion of 0 in lambda1 1.962 * [taylor]: Taking taylor expansion of 0 in lambda2 1.962 * [taylor]: Taking taylor expansion of 0 in R 1.962 * [taylor]: Taking taylor expansion of 0 in lambda2 1.962 * [taylor]: Taking taylor expansion of 0 in R 1.962 * [taylor]: Taking taylor expansion of 0 in lambda2 1.962 * [taylor]: Taking taylor expansion of 0 in R 1.964 * [taylor]: Taking taylor expansion of 0 in lambda2 1.964 * [taylor]: Taking taylor expansion of 0 in R 1.964 * [taylor]: Taking taylor expansion of 0 in R 1.964 * [taylor]: Taking taylor expansion of 0 in R 1.964 * [taylor]: Taking taylor expansion of 0 in R 1.966 * [taylor]: Taking taylor expansion of 0 in R 1.970 * * * [progress]: simplifying candidates 1.971 * [simplify]: Simplifying using # : (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log 1) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (/ PI 2))) (log (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (log (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (exp 1)) (log (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (exp (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp 1) (exp (/ PI 2)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (* (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (+ (log (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log R)) (log (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (exp (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (* (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (* (* R R) R)) (* (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (* (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (sqrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (sqrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt R) (cbrt R))) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt R)) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) 1) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (* (log (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R) (* (log (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (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)) (* (sin lambda1) (sin lambda2))))))))) R) (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) (exp (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) 1.977 * * [simplify]: iteration 0 : 179 enodes (cost 1561 ) 1.980 * * [simplify]: iteration 1 : 401 enodes (cost 1313 ) 1.987 * * [simplify]: iteration 2 : 897 enodes (cost 1309 ) 1.997 * * [simplify]: iteration 3 : 1255 enodes (cost 1309 ) 2.016 * * [simplify]: iteration 4 : 3512 enodes (cost 1305 ) 2.081 * * [simplify]: iteration 5 : 5001 enodes (cost 1305 ) 2.089 * [simplify]: Simplified to: (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* 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(* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (pow (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 3) (pow (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 1/2) (pow (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 1/2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (+ (log R) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (+ (log R) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (pow (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (pow (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 3) (* (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (pow (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 3) (sqrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (sqrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (cbrt R)) (cbrt R)) (* (sqrt R) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* R (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (* R (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* R (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 2.090 * * * [progress]: adding candidates to table 2.377 * * [progress]: iteration 4 / 4 2.377 * * * [progress]: picking best candidate 2.468 * * * * [pick]: Picked # 2.469 * * * [progress]: localizing error 2.509 * * * [progress]: generating rewritten candidates 2.509 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 2.510 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 2.512 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 2.517 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 2 2 2) 2.524 * * * [progress]: generating series expansions 2.524 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 2.524 * [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 2.524 * [taylor]: Taking 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 2.525 * [taylor]: Taking 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 2.525 * [taylor]: Taking 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 2.525 * [taylor]: Taking 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 2.526 * [taylor]: Taking 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 2.526 * [taylor]: Taking 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 2.527 * [taylor]: Taking 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 2.527 * [taylor]: Taking 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 2.528 * [taylor]: Taking taylor expansion of 0 in phi2 2.528 * [taylor]: Taking taylor expansion of 0 in lambda1 2.528 * [taylor]: Taking taylor expansion of 0 in lambda2 2.528 * [taylor]: Taking taylor expansion of 0 in lambda1 2.528 * [taylor]: Taking taylor expansion of 0 in lambda2 2.528 * [taylor]: Taking taylor expansion of 0 in lambda2 2.528 * [taylor]: Taking taylor expansion of 0 in phi2 2.528 * [taylor]: Taking taylor expansion of 0 in lambda1 2.528 * [taylor]: Taking taylor expansion of 0 in lambda2 2.528 * [taylor]: Taking taylor expansion of 0 in lambda1 2.528 * [taylor]: Taking taylor expansion of 0 in lambda2 2.529 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.529 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 2.529 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 2.530 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 2.530 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 2.531 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 2.531 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 2.532 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 2.532 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 2.534 * [taylor]: Taking taylor expansion of 0 in phi2 2.534 * [taylor]: Taking taylor expansion of 0 in lambda1 2.534 * [taylor]: Taking taylor expansion of 0 in lambda2 2.534 * [taylor]: Taking taylor expansion of 0 in lambda1 2.534 * [taylor]: Taking taylor expansion of 0 in lambda2 2.534 * [taylor]: Taking taylor expansion of 0 in lambda2 2.534 * [taylor]: Taking taylor expansion of 0 in phi2 2.534 * [taylor]: Taking taylor expansion of 0 in lambda1 2.534 * [taylor]: Taking taylor expansion of 0 in lambda2 2.534 * [taylor]: Taking taylor expansion of 0 in lambda1 2.534 * [taylor]: Taking taylor expansion of 0 in lambda2 2.535 * [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 2.535 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.535 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.536 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 2.536 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 2.537 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 2.537 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 2.538 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 2.538 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 2.540 * [taylor]: Taking taylor expansion of 0 in phi2 2.540 * [taylor]: Taking taylor expansion of 0 in lambda1 2.540 * [taylor]: Taking taylor expansion of 0 in lambda2 2.540 * [taylor]: Taking taylor expansion of 0 in lambda1 2.540 * [taylor]: Taking taylor expansion of 0 in lambda2 2.540 * [taylor]: Taking taylor expansion of 0 in lambda2 2.540 * [taylor]: Taking taylor expansion of 0 in phi2 2.540 * [taylor]: Taking taylor expansion of 0 in lambda1 2.540 * [taylor]: Taking taylor expansion of 0 in lambda2 2.540 * [taylor]: Taking taylor expansion of 0 in lambda1 2.540 * [taylor]: Taking taylor expansion of 0 in lambda2 2.540 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 2.541 * [approximate]: Taking taylor expansion of (log (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 2.541 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2 2.541 * [taylor]: Taking 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 2.542 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1 2.542 * [taylor]: Taking 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 2.543 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2 2.543 * [taylor]: Taking 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 2.543 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1 2.543 * [taylor]: Taking 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 2.544 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1 2.544 * [taylor]: Taking 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 2.545 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2 2.545 * [taylor]: Taking 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 2.546 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1 2.546 * [taylor]: Taking 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 2.546 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2 2.546 * [taylor]: Taking 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 2.549 * [taylor]: Taking taylor expansion of 0 in phi2 2.549 * [taylor]: Taking taylor expansion of 0 in lambda1 2.549 * [taylor]: Taking taylor expansion of 0 in lambda2 2.550 * [taylor]: Taking taylor expansion of 0 in lambda1 2.550 * [taylor]: Taking taylor expansion of 0 in lambda2 2.551 * [taylor]: Taking taylor expansion of 0 in lambda2 2.554 * [taylor]: Taking taylor expansion of 0 in phi2 2.554 * [taylor]: Taking taylor expansion of 0 in lambda1 2.554 * [taylor]: Taking taylor expansion of 0 in lambda2 2.554 * [taylor]: Taking taylor expansion of 0 in lambda1 2.554 * [taylor]: Taking taylor expansion of 0 in lambda2 2.555 * [approximate]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.555 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2 2.555 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 2.556 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1 2.556 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 2.557 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2 2.557 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 2.558 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1 2.558 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 2.559 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1 2.559 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 2.560 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2 2.560 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 2.561 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1 2.561 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 2.562 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2 2.562 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 2.565 * [taylor]: Taking taylor expansion of 0 in phi2 2.565 * [taylor]: Taking taylor expansion of 0 in lambda1 2.565 * [taylor]: Taking taylor expansion of 0 in lambda2 2.566 * [taylor]: Taking taylor expansion of 0 in lambda1 2.566 * [taylor]: Taking taylor expansion of 0 in lambda2 2.567 * [taylor]: Taking taylor expansion of 0 in lambda2 2.571 * [taylor]: Taking taylor expansion of 0 in phi2 2.571 * [taylor]: Taking taylor expansion of 0 in lambda1 2.571 * [taylor]: Taking taylor expansion of 0 in lambda2 2.571 * [taylor]: Taking taylor expansion of 0 in lambda1 2.571 * [taylor]: Taking taylor expansion of 0 in lambda2 2.572 * [approximate]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.572 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.572 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.577 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.577 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.578 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.578 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.579 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.579 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.580 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.580 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.582 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.582 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.583 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.583 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.583 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.584 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.587 * [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 2.588 * [taylor]: Taking taylor expansion of 0 in lambda1 2.588 * [taylor]: Taking taylor expansion of 0 in lambda2 2.589 * [taylor]: Taking taylor expansion of 0 in lambda2 2.592 * [taylor]: Taking taylor expansion of 0 in phi2 2.592 * [taylor]: Taking taylor expansion of 0 in lambda1 2.592 * [taylor]: Taking taylor expansion of 0 in lambda2 2.592 * [taylor]: Taking taylor expansion of 0 in lambda1 2.592 * [taylor]: Taking taylor expansion of 0 in lambda2 2.593 * * * * [progress]: [ 3 / 4 ] generating series at (2) 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))))))) R) in (phi1 phi2 lambda1 lambda2 R) 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))))))) R) in R 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 R 2.594 * [taylor]: Taking taylor expansion of R in R 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))))))) R) in lambda2 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 2.594 * [taylor]: Taking taylor expansion of R in lambda2 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))))))) R) 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 lambda1 2.595 * [taylor]: Taking taylor expansion of R 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))))))) R) 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 phi2 2.595 * [taylor]: Taking taylor expansion of R 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))))))) R) in phi1 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 R 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))))))) R) 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 R 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))))))) R) in phi2 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 phi2 2.597 * [taylor]: Taking taylor expansion of R in phi2 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))))))) R) 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 lambda1 2.598 * [taylor]: Taking taylor expansion of R in lambda1 2.598 * [taylor]: Taking 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 2.598 * [taylor]: Taking 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 R in lambda2 2.599 * [taylor]: Taking 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 2.599 * [taylor]: Taking 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 2.599 * [taylor]: Taking taylor expansion of R in R 2.600 * [taylor]: Taking taylor expansion of 0 in phi2 2.600 * [taylor]: Taking taylor expansion of 0 in lambda1 2.600 * [taylor]: Taking taylor expansion of 0 in lambda2 2.600 * [taylor]: Taking taylor expansion of 0 in R 2.600 * [taylor]: Taking taylor expansion of 0 in lambda1 2.600 * [taylor]: Taking taylor expansion of 0 in lambda2 2.600 * [taylor]: Taking taylor expansion of 0 in R 2.601 * [taylor]: Taking taylor expansion of 0 in lambda2 2.601 * [taylor]: Taking taylor expansion of 0 in R 2.601 * [taylor]: Taking taylor expansion of 0 in R 2.603 * [taylor]: Taking taylor expansion of 0 in phi2 2.603 * [taylor]: Taking taylor expansion of 0 in lambda1 2.603 * [taylor]: Taking taylor expansion of 0 in lambda2 2.603 * [taylor]: Taking taylor expansion of 0 in R 2.603 * [taylor]: Taking taylor expansion of 0 in lambda1 2.603 * [taylor]: Taking taylor expansion of 0 in lambda2 2.603 * [taylor]: Taking taylor expansion of 0 in R 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 R 2.604 * [taylor]: Taking taylor expansion of 0 in lambda2 2.604 * [taylor]: Taking taylor expansion of 0 in R 2.604 * [taylor]: Taking taylor expansion of 0 in lambda2 2.604 * [taylor]: Taking taylor expansion of 0 in R 2.605 * [taylor]: Taking taylor expansion of 0 in lambda2 2.605 * [taylor]: Taking taylor expansion of 0 in R 2.606 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 2.606 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 2.606 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 2.607 * [taylor]: Taking taylor expansion of R in R 2.607 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 2.608 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 2.608 * [taylor]: Taking taylor expansion of R in lambda2 2.609 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 2.609 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 2.609 * [taylor]: Taking taylor expansion of R in lambda1 2.610 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 2.610 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 2.610 * [taylor]: Taking taylor expansion of R in phi2 2.611 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 2.611 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 2.611 * [taylor]: Taking taylor expansion of R in phi1 2.612 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 2.612 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 2.612 * [taylor]: Taking taylor expansion of R in phi1 2.613 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 2.613 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 2.613 * [taylor]: Taking taylor expansion of R in phi2 2.614 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 2.614 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 2.614 * [taylor]: Taking taylor expansion of R in lambda1 2.615 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 2.615 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 2.615 * [taylor]: Taking taylor expansion of R in lambda2 2.616 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 2.616 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 2.616 * [taylor]: Taking taylor expansion of R in R 2.618 * [taylor]: Taking taylor expansion of 0 in phi2 2.618 * [taylor]: Taking taylor expansion of 0 in lambda1 2.618 * [taylor]: Taking taylor expansion of 0 in lambda2 2.618 * [taylor]: Taking taylor expansion of 0 in R 2.619 * [taylor]: Taking taylor expansion of 0 in lambda1 2.619 * [taylor]: Taking taylor expansion of 0 in lambda2 2.619 * [taylor]: Taking taylor expansion of 0 in R 2.619 * [taylor]: Taking taylor expansion of 0 in lambda2 2.619 * [taylor]: Taking taylor expansion of 0 in R 2.620 * [taylor]: Taking taylor expansion of 0 in R 2.622 * [taylor]: Taking taylor expansion of 0 in phi2 2.622 * [taylor]: Taking taylor expansion of 0 in lambda1 2.622 * [taylor]: Taking taylor expansion of 0 in lambda2 2.622 * [taylor]: Taking taylor expansion of 0 in R 2.622 * [taylor]: Taking taylor expansion of 0 in lambda1 2.622 * [taylor]: Taking taylor expansion of 0 in lambda2 2.622 * [taylor]: Taking taylor expansion of 0 in R 2.623 * [taylor]: Taking taylor expansion of 0 in lambda1 2.623 * [taylor]: Taking taylor expansion of 0 in lambda2 2.623 * [taylor]: Taking taylor expansion of 0 in R 2.623 * [taylor]: Taking taylor expansion of 0 in lambda2 2.623 * [taylor]: Taking taylor expansion of 0 in R 2.623 * [taylor]: Taking taylor expansion of 0 in lambda2 2.623 * [taylor]: Taking taylor expansion of 0 in R 2.623 * [taylor]: Taking taylor expansion of 0 in lambda2 2.623 * [taylor]: Taking taylor expansion of 0 in R 2.623 * [taylor]: Taking taylor expansion of 0 in R 2.623 * [taylor]: Taking taylor expansion of 0 in R 2.623 * [taylor]: Taking taylor expansion of 0 in R 2.624 * [taylor]: Taking taylor expansion of 0 in R 2.627 * [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 2.627 * [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 2.627 * [taylor]: Taking taylor expansion of -1 in R 2.627 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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 2.627 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.628 * [taylor]: Taking taylor expansion of R in R 2.628 * [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 2.628 * [taylor]: Taking taylor expansion of -1 in lambda2 2.629 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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 2.629 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.629 * [taylor]: Taking taylor expansion of R in lambda2 2.630 * [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 2.630 * [taylor]: Taking taylor expansion of -1 in lambda1 2.630 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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 2.630 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.630 * [taylor]: Taking taylor expansion of R in lambda1 2.631 * [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 2.631 * [taylor]: Taking taylor expansion of -1 in phi2 2.631 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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 2.631 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.631 * [taylor]: Taking taylor expansion of R in phi2 2.632 * [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 2.632 * [taylor]: Taking taylor expansion of -1 in phi1 2.632 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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 2.632 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.632 * [taylor]: Taking taylor expansion of R in phi1 2.633 * [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 2.633 * [taylor]: Taking taylor expansion of -1 in phi1 2.633 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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 2.633 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.633 * [taylor]: Taking taylor expansion of R in phi1 2.635 * [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 2.635 * [taylor]: Taking taylor expansion of -1 in phi2 2.635 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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 2.635 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.635 * [taylor]: Taking taylor expansion of R in phi2 2.636 * [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 2.636 * [taylor]: Taking taylor expansion of -1 in lambda1 2.636 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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 2.636 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.637 * [taylor]: Taking taylor expansion of R in lambda1 2.638 * [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 2.638 * [taylor]: Taking taylor expansion of -1 in lambda2 2.638 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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 2.638 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.638 * [taylor]: Taking taylor expansion of R in lambda2 2.639 * [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 2.639 * [taylor]: Taking taylor expansion of -1 in R 2.640 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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 2.640 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.640 * [taylor]: Taking taylor expansion of R in R 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 R 2.645 * [taylor]: Taking taylor expansion of 0 in lambda1 2.645 * [taylor]: Taking taylor expansion of 0 in lambda2 2.645 * [taylor]: Taking taylor expansion of 0 in R 2.646 * [taylor]: Taking taylor expansion of 0 in lambda2 2.646 * [taylor]: Taking taylor expansion of 0 in R 2.648 * [taylor]: Taking taylor expansion of 0 in R 2.652 * [taylor]: Taking taylor expansion of 0 in phi2 2.652 * [taylor]: Taking taylor expansion of 0 in lambda1 2.652 * [taylor]: Taking taylor expansion of 0 in lambda2 2.652 * [taylor]: Taking taylor expansion of 0 in R 2.652 * [taylor]: Taking taylor expansion of 0 in lambda1 2.652 * [taylor]: Taking taylor expansion of 0 in lambda2 2.652 * [taylor]: Taking taylor expansion of 0 in R 2.654 * [taylor]: Taking taylor expansion of 0 in lambda1 2.654 * [taylor]: Taking taylor expansion of 0 in lambda2 2.654 * [taylor]: Taking taylor expansion of 0 in R 2.654 * [taylor]: Taking taylor expansion of 0 in lambda2 2.654 * [taylor]: Taking taylor expansion of 0 in R 2.654 * [taylor]: Taking taylor expansion of 0 in lambda2 2.654 * [taylor]: Taking taylor expansion of 0 in R 2.656 * [taylor]: Taking taylor expansion of 0 in lambda2 2.656 * [taylor]: Taking taylor expansion of 0 in R 2.656 * [taylor]: Taking taylor expansion of 0 in R 2.656 * [taylor]: Taking taylor expansion of 0 in R 2.656 * [taylor]: Taking taylor expansion of 0 in R 2.660 * [taylor]: Taking taylor expansion of 0 in R 2.664 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 2 2 2) 2.664 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 2.664 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 2.664 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 2.664 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.664 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 2.664 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.664 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 2.664 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.664 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.664 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 2.664 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.664 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 2.664 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.664 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.664 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 2.664 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.665 * [taylor]: Taking taylor expansion of 0 in lambda2 2.667 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 2.667 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.670 * [taylor]: Taking taylor expansion of 0 in lambda2 2.674 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2 2.674 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 2.674 * [taylor]: Taking taylor expansion of 1/6 in lambda2 2.674 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 2.674 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.680 * [taylor]: Taking taylor expansion of 0 in lambda2 2.680 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 2.680 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 2.680 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 2.680 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.680 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.680 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 2.680 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.680 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.681 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 2.681 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 2.681 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.681 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.681 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 2.681 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.681 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.681 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 2.681 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 2.681 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.681 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.682 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 2.682 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.682 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.682 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 2.682 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 2.682 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.682 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.682 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 2.682 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.682 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.684 * [taylor]: Taking taylor expansion of 0 in lambda2 2.688 * [taylor]: Taking taylor expansion of 0 in lambda2 2.694 * [taylor]: Taking taylor expansion of 0 in lambda2 2.694 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 2.694 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 2.694 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 2.694 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.694 * [taylor]: Taking taylor expansion of -1 in lambda2 2.694 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.694 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 2.694 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 2.694 * [taylor]: Taking taylor expansion of -1 in lambda2 2.694 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.695 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 2.695 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 2.695 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.695 * [taylor]: Taking taylor expansion of -1 in lambda1 2.695 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.695 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 2.695 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 2.695 * [taylor]: Taking taylor expansion of -1 in lambda1 2.695 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.695 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 2.695 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 2.695 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.695 * [taylor]: Taking taylor expansion of -1 in lambda1 2.695 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.696 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 2.696 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 2.696 * [taylor]: Taking taylor expansion of -1 in lambda1 2.696 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.696 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 2.696 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 2.696 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.696 * [taylor]: Taking taylor expansion of -1 in lambda2 2.696 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.696 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 2.696 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 2.696 * [taylor]: Taking taylor expansion of -1 in lambda2 2.696 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.699 * [taylor]: Taking taylor expansion of 0 in lambda2 2.702 * [taylor]: Taking taylor expansion of 0 in lambda2 2.708 * [taylor]: Taking taylor expansion of 0 in lambda2 2.708 * * * [progress]: simplifying candidates 2.709 * [simplify]: Simplifying using # : (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) 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lambda2))))))) (- (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)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) 2.779 * * * [progress]: adding candidates to table 3.099 * [progress]: [Phase 3 of 3] Extracting. 3.099 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # #) 3.117 * * * [regime-changes]: Trying 5 branch expressions: (phi2 phi1 lambda2 lambda1 R) 3.118 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # # # # # # # #) 3.227 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # # # # # # # #) 3.334 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # # # # # # # # #) 3.441 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # # # # # # # #) 3.548 * * * * [regimes]: Trying to branch on R from (# # # # # # # # # # # # # # #) 3.655 * * * [regime]: Found split indices: #