11.244 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.262 * * * [progress]: [2/2] Setting up program. 0.266 * [progress]: [Phase 2 of 3] Improving. 0.266 * [simplify]: Simplifying using # : (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.268 * * [simplify]: iteration 0 : 26 enodes (cost 12 ) 0.270 * * [simplify]: iteration 1 : 34 enodes (cost 12 ) 0.271 * * [simplify]: iteration 2 : 36 enodes (cost 12 ) 0.272 * * [simplify]: iteration 3 : 36 enodes (cost 12 ) 0.272 * [simplify]: Simplified to: (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.273 * * [progress]: iteration 1 / 4 0.273 * * * [progress]: picking best candidate 0.277 * * * * [pick]: Picked # 0.277 * * * [progress]: localizing error 0.300 * * * [progress]: generating rewritten candidates 0.300 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 0.305 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.305 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.308 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.313 * * * [progress]: generating series expansions 0.313 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 0.313 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 0.313 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 0.313 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 0.314 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.314 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.314 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.314 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.314 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.314 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.314 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.314 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.314 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.314 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.315 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.315 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.315 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.318 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 0.318 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 0.318 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.318 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.322 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 0.322 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 0.322 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.322 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.322 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.322 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.324 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 0.324 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.324 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.324 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.324 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.324 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.324 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.325 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.325 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.325 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.325 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.325 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.325 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.326 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.326 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.326 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.326 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.326 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.326 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.326 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.326 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.326 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.327 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.327 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.327 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.327 * [taylor]: Taking taylor expansion of 0 in lambda2 0.327 * [taylor]: Taking taylor expansion of 0 in lambda2 0.328 * [taylor]: Taking taylor expansion of 0 in lambda2 0.328 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 0.328 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.328 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.328 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.328 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.328 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.328 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.328 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.328 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.328 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.328 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.329 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.329 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.329 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.329 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.329 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.329 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.330 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.330 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.330 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.330 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.330 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.330 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.331 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.331 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.331 * [taylor]: Taking taylor expansion of 0 in lambda2 0.331 * [taylor]: Taking taylor expansion of 0 in lambda2 0.331 * [taylor]: Taking taylor expansion of 0 in lambda2 0.331 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.332 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.332 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.333 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.333 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.333 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.333 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.334 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.334 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.334 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.335 * [taylor]: Taking taylor expansion of 0 in phi2 0.335 * [taylor]: Taking taylor expansion of 0 in lambda1 0.335 * [taylor]: Taking taylor expansion of 0 in lambda2 0.335 * [taylor]: Taking taylor expansion of 0 in lambda1 0.335 * [taylor]: Taking taylor expansion of 0 in lambda2 0.335 * [taylor]: Taking taylor expansion of 0 in lambda2 0.335 * [taylor]: Taking taylor expansion of 0 in phi2 0.335 * [taylor]: Taking taylor expansion of 0 in lambda1 0.335 * [taylor]: Taking taylor expansion of 0 in lambda2 0.335 * [taylor]: Taking taylor expansion of 0 in lambda1 0.335 * [taylor]: Taking taylor expansion of 0 in lambda2 0.335 * [approximate]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 0.335 * [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 0.336 * [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 0.336 * [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 0.336 * [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 0.336 * [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 0.337 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2 0.337 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1 0.337 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2 0.338 * [taylor]: Taking taylor expansion of 0 in phi2 0.338 * [taylor]: Taking taylor expansion of 0 in lambda1 0.338 * [taylor]: Taking taylor expansion of 0 in lambda2 0.338 * [taylor]: Taking taylor expansion of 0 in lambda1 0.338 * [taylor]: Taking taylor expansion of 0 in lambda2 0.338 * [taylor]: Taking taylor expansion of 0 in lambda2 0.338 * [taylor]: Taking taylor expansion of 0 in phi2 0.338 * [taylor]: Taking taylor expansion of 0 in lambda1 0.338 * [taylor]: Taking taylor expansion of 0 in lambda2 0.338 * [taylor]: Taking taylor expansion of 0 in lambda1 0.338 * [taylor]: Taking taylor expansion of 0 in lambda2 0.339 * [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 0.339 * [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 0.339 * [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 0.339 * [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 0.339 * [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 0.344 * [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 0.344 * [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 0.344 * [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 0.345 * [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 0.345 * [taylor]: Taking taylor expansion of 0 in phi2 0.345 * [taylor]: Taking taylor expansion of 0 in lambda1 0.345 * [taylor]: Taking taylor expansion of 0 in lambda2 0.345 * [taylor]: Taking taylor expansion of 0 in lambda1 0.345 * [taylor]: Taking taylor expansion of 0 in lambda2 0.346 * [taylor]: Taking taylor expansion of 0 in lambda2 0.346 * [taylor]: Taking taylor expansion of 0 in phi2 0.346 * [taylor]: Taking taylor expansion of 0 in lambda1 0.346 * [taylor]: Taking taylor expansion of 0 in lambda2 0.346 * [taylor]: Taking taylor expansion of 0 in lambda1 0.346 * [taylor]: Taking taylor expansion of 0 in lambda2 0.346 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.346 * [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 0.346 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.346 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.347 * [taylor]: Taking taylor expansion of R in R 0.347 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.347 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.347 * [taylor]: Taking taylor expansion of R in lambda2 0.347 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.347 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.347 * [taylor]: Taking taylor expansion of R in lambda1 0.347 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.347 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.347 * [taylor]: Taking taylor expansion of R in phi2 0.347 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.347 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.347 * [taylor]: Taking taylor expansion of R in phi1 0.347 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.348 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.348 * [taylor]: Taking taylor expansion of R in phi1 0.348 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.348 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.348 * [taylor]: Taking taylor expansion of R in phi2 0.348 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.348 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.349 * [taylor]: Taking taylor expansion of R in lambda1 0.349 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.349 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.349 * [taylor]: Taking taylor expansion of R in lambda2 0.349 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.349 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.349 * [taylor]: Taking taylor expansion of R in R 0.350 * [taylor]: Taking taylor expansion of 0 in phi2 0.350 * [taylor]: Taking taylor expansion of 0 in lambda1 0.350 * [taylor]: Taking taylor expansion of 0 in lambda2 0.350 * [taylor]: Taking taylor expansion of 0 in R 0.350 * [taylor]: Taking taylor expansion of 0 in lambda1 0.350 * [taylor]: Taking taylor expansion of 0 in lambda2 0.350 * [taylor]: Taking taylor expansion of 0 in R 0.350 * [taylor]: Taking taylor expansion of 0 in lambda2 0.350 * [taylor]: Taking taylor expansion of 0 in R 0.351 * [taylor]: Taking taylor expansion of 0 in R 0.352 * [taylor]: Taking taylor expansion of 0 in phi2 0.352 * [taylor]: Taking taylor expansion of 0 in lambda1 0.352 * [taylor]: Taking taylor expansion of 0 in lambda2 0.352 * [taylor]: Taking taylor expansion of 0 in R 0.352 * [taylor]: Taking taylor expansion of 0 in lambda1 0.352 * [taylor]: Taking taylor expansion of 0 in lambda2 0.352 * [taylor]: Taking taylor expansion of 0 in R 0.353 * [taylor]: Taking taylor expansion of 0 in lambda1 0.353 * [taylor]: Taking taylor expansion of 0 in lambda2 0.353 * [taylor]: Taking taylor expansion of 0 in R 0.353 * [taylor]: Taking taylor expansion of 0 in lambda2 0.353 * [taylor]: Taking taylor expansion of 0 in R 0.353 * [taylor]: Taking taylor expansion of 0 in lambda2 0.353 * [taylor]: Taking taylor expansion of 0 in R 0.354 * [taylor]: Taking taylor expansion of 0 in lambda2 0.354 * [taylor]: Taking taylor expansion of 0 in R 0.354 * [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 0.355 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in R 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 R 0.355 * [taylor]: Taking taylor expansion of R in R 0.355 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in 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 lambda2 0.355 * [taylor]: Taking taylor expansion of R in lambda2 0.356 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda1 0.356 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1 0.356 * [taylor]: Taking taylor expansion of R in lambda1 0.356 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in 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 phi2 0.357 * [taylor]: Taking taylor expansion of R 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))))))) R) in phi1 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 phi1 0.357 * [taylor]: Taking taylor expansion of R in phi1 0.357 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi1 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 phi1 0.358 * [taylor]: Taking taylor expansion of R in phi1 0.358 * [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 0.358 * [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 0.358 * [taylor]: Taking taylor expansion of R in phi2 0.359 * [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 0.359 * [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 0.359 * [taylor]: Taking taylor expansion of R in lambda1 0.359 * [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 0.359 * [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 0.359 * [taylor]: Taking taylor expansion of R in lambda2 0.360 * [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 0.360 * [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 0.360 * [taylor]: Taking taylor expansion of R in R 0.361 * [taylor]: Taking taylor expansion of 0 in phi2 0.361 * [taylor]: Taking taylor expansion of 0 in lambda1 0.361 * [taylor]: Taking taylor expansion of 0 in lambda2 0.361 * [taylor]: Taking taylor expansion of 0 in R 0.362 * [taylor]: Taking taylor expansion of 0 in lambda1 0.362 * [taylor]: Taking taylor expansion of 0 in lambda2 0.362 * [taylor]: Taking taylor expansion of 0 in R 0.362 * [taylor]: Taking taylor expansion of 0 in lambda2 0.362 * [taylor]: Taking taylor expansion of 0 in R 0.362 * [taylor]: Taking taylor expansion of 0 in R 0.364 * [taylor]: Taking taylor expansion of 0 in phi2 0.364 * [taylor]: Taking taylor expansion of 0 in lambda1 0.364 * [taylor]: Taking taylor expansion of 0 in lambda2 0.364 * [taylor]: Taking taylor expansion of 0 in R 0.364 * [taylor]: Taking taylor expansion of 0 in lambda1 0.364 * [taylor]: Taking taylor expansion of 0 in lambda2 0.364 * [taylor]: Taking taylor expansion of 0 in R 0.364 * [taylor]: Taking taylor expansion of 0 in lambda1 0.364 * [taylor]: Taking taylor expansion of 0 in lambda2 0.364 * [taylor]: Taking taylor expansion of 0 in R 0.364 * [taylor]: Taking taylor expansion of 0 in lambda2 0.364 * [taylor]: Taking taylor expansion of 0 in R 0.364 * [taylor]: Taking taylor expansion of 0 in lambda2 0.364 * [taylor]: Taking taylor expansion of 0 in R 0.365 * [taylor]: Taking taylor expansion of 0 in lambda2 0.365 * [taylor]: Taking taylor expansion of 0 in R 0.365 * [taylor]: Taking taylor expansion of 0 in R 0.365 * [taylor]: Taking taylor expansion of 0 in R 0.365 * [taylor]: Taking taylor expansion of 0 in R 0.365 * [taylor]: Taking taylor expansion of 0 in R 0.368 * [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 0.368 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in R 0.368 * [taylor]: Taking taylor expansion of -1 in R 0.368 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in R 0.368 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in R 0.368 * [taylor]: Taking taylor expansion of R in R 0.368 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda2 0.368 * [taylor]: Taking taylor expansion of -1 in lambda2 0.368 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda2 0.368 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 0.369 * [taylor]: Taking taylor expansion of R in lambda2 0.369 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda1 0.369 * [taylor]: Taking taylor expansion of -1 in lambda1 0.369 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda1 0.369 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 0.369 * [taylor]: Taking taylor expansion of R in lambda1 0.369 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi2 0.370 * [taylor]: Taking taylor expansion of -1 in phi2 0.370 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi2 0.370 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 0.370 * [taylor]: Taking taylor expansion of R in phi2 0.370 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi1 0.370 * [taylor]: Taking taylor expansion of -1 in phi1 0.370 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi1 0.370 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 0.370 * [taylor]: Taking taylor expansion of R in phi1 0.371 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi1 0.371 * [taylor]: Taking taylor expansion of -1 in phi1 0.371 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi1 0.371 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 0.371 * [taylor]: Taking taylor expansion of R in phi1 0.372 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi2 0.372 * [taylor]: Taking taylor expansion of -1 in phi2 0.372 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi2 0.372 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 0.372 * [taylor]: Taking taylor expansion of R in phi2 0.372 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda1 0.373 * [taylor]: Taking taylor expansion of -1 in lambda1 0.373 * [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 0.373 * [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 0.373 * [taylor]: Taking taylor expansion of R in lambda1 0.373 * [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 0.373 * [taylor]: Taking taylor expansion of -1 in lambda2 0.373 * [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 0.373 * [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 0.374 * [taylor]: Taking taylor expansion of R in lambda2 0.374 * [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 0.374 * [taylor]: Taking taylor expansion of -1 in R 0.374 * [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 0.374 * [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 0.375 * [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 0.378 * [taylor]: Taking taylor expansion of 0 in lambda1 0.378 * [taylor]: Taking taylor expansion of 0 in lambda2 0.378 * [taylor]: Taking taylor expansion of 0 in R 0.379 * [taylor]: Taking taylor expansion of 0 in lambda2 0.379 * [taylor]: Taking taylor expansion of 0 in R 0.380 * [taylor]: Taking taylor expansion of 0 in R 0.382 * [taylor]: Taking taylor expansion of 0 in phi2 0.382 * [taylor]: Taking taylor expansion of 0 in lambda1 0.382 * [taylor]: Taking taylor expansion of 0 in lambda2 0.383 * [taylor]: Taking taylor expansion of 0 in R 0.383 * [taylor]: Taking taylor expansion of 0 in lambda1 0.383 * [taylor]: Taking taylor expansion of 0 in lambda2 0.383 * [taylor]: Taking taylor expansion of 0 in R 0.384 * [taylor]: Taking taylor expansion of 0 in lambda1 0.384 * [taylor]: Taking taylor expansion of 0 in lambda2 0.384 * [taylor]: Taking taylor expansion of 0 in R 0.384 * [taylor]: Taking taylor expansion of 0 in lambda2 0.384 * [taylor]: Taking taylor expansion of 0 in R 0.384 * [taylor]: Taking taylor expansion of 0 in lambda2 0.384 * [taylor]: Taking taylor expansion of 0 in R 0.385 * [taylor]: Taking taylor expansion of 0 in lambda2 0.385 * [taylor]: Taking taylor expansion of 0 in R 0.386 * [taylor]: Taking taylor expansion of 0 in R 0.386 * [taylor]: Taking taylor expansion of 0 in R 0.386 * [taylor]: Taking taylor expansion of 0 in R 0.387 * [taylor]: Taking taylor expansion of 0 in R 0.390 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.390 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 0.390 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 0.390 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 0.390 * [taylor]: Taking taylor expansion of phi1 in phi2 0.390 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.390 * [taylor]: Taking taylor expansion of phi2 in phi2 0.390 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.390 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.390 * [taylor]: Taking taylor expansion of phi1 in phi1 0.390 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.390 * [taylor]: Taking taylor expansion of phi2 in phi1 0.390 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.390 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.390 * [taylor]: Taking taylor expansion of phi1 in phi1 0.390 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.390 * [taylor]: Taking taylor expansion of phi2 in phi1 0.390 * [taylor]: Taking taylor expansion of 0 in phi2 0.393 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.393 * [taylor]: Taking taylor expansion of phi2 in phi2 0.395 * [taylor]: Taking taylor expansion of 0 in phi2 0.400 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 0.400 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 0.400 * [taylor]: Taking taylor expansion of 1/6 in phi2 0.400 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.400 * [taylor]: Taking taylor expansion of phi2 in phi2 0.406 * [taylor]: Taking taylor expansion of 0 in phi2 0.406 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 0.406 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.406 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.406 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.406 * [taylor]: Taking taylor expansion of phi1 in phi2 0.406 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.406 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.406 * [taylor]: Taking taylor expansion of phi2 in phi2 0.407 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.407 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.407 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.407 * [taylor]: Taking taylor expansion of phi1 in phi1 0.407 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.407 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.407 * [taylor]: Taking taylor expansion of phi2 in phi1 0.407 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.407 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.407 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.407 * [taylor]: Taking taylor expansion of phi1 in phi1 0.407 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.407 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.407 * [taylor]: Taking taylor expansion of phi2 in phi1 0.408 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.408 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.408 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.408 * [taylor]: Taking taylor expansion of phi1 in phi2 0.408 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.408 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.408 * [taylor]: Taking taylor expansion of phi2 in phi2 0.410 * [taylor]: Taking taylor expansion of 0 in phi2 0.414 * [taylor]: Taking taylor expansion of 0 in phi2 0.419 * [taylor]: Taking taylor expansion of 0 in phi2 0.419 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 0.419 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.420 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.420 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.420 * [taylor]: Taking taylor expansion of -1 in phi2 0.420 * [taylor]: Taking taylor expansion of phi1 in phi2 0.420 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.420 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.420 * [taylor]: Taking taylor expansion of -1 in phi2 0.420 * [taylor]: Taking taylor expansion of phi2 in phi2 0.420 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.420 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.420 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.420 * [taylor]: Taking taylor expansion of -1 in phi1 0.420 * [taylor]: Taking taylor expansion of phi1 in phi1 0.420 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.420 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.420 * [taylor]: Taking taylor expansion of -1 in phi1 0.420 * [taylor]: Taking taylor expansion of phi2 in phi1 0.421 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.421 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.421 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.421 * [taylor]: Taking taylor expansion of -1 in phi1 0.421 * [taylor]: Taking taylor expansion of phi1 in phi1 0.421 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.421 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.421 * [taylor]: Taking taylor expansion of -1 in phi1 0.421 * [taylor]: Taking taylor expansion of phi2 in phi1 0.421 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.421 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.421 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.421 * [taylor]: Taking taylor expansion of -1 in phi2 0.421 * [taylor]: Taking taylor expansion of phi1 in phi2 0.421 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.421 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.421 * [taylor]: Taking taylor expansion of -1 in phi2 0.422 * [taylor]: Taking taylor expansion of phi2 in phi2 0.424 * [taylor]: Taking taylor expansion of 0 in phi2 0.428 * [taylor]: Taking taylor expansion of 0 in phi2 0.436 * [taylor]: Taking taylor expansion of 0 in phi2 0.436 * * * [progress]: simplifying candidates 0.437 * [simplify]: Simplifying using # : (* (cos lambda1) (cos (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)) (log (cos (- lambda1 lambda2))) (exp (cos (- lambda1 lambda2))) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 0.441 * * [simplify]: iteration 0 : 200 enodes (cost 661 ) 0.444 * * [simplify]: iteration 1 : 565 enodes (cost 569 ) 0.454 * * [simplify]: iteration 2 : 1790 enodes (cost 569 ) 0.480 * * [simplify]: iteration 3 : 5001 enodes (cost 569 ) 0.482 * [simplify]: Simplified to: (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)) (log (cos (- lambda1 lambda2))) (exp (cos (- lambda1 lambda2))) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))) (pow (cos (- lambda1 lambda2)) 3) (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 0.483 * * * [progress]: adding candidates to table 0.738 * * [progress]: iteration 2 / 4 0.738 * * * [progress]: picking best candidate 0.807 * * * * [pick]: Picked # 0.807 * * * [progress]: localizing error 0.838 * * * [progress]: generating rewritten candidates 0.838 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.839 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.842 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.846 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 0.865 * * * [progress]: generating series expansions 0.865 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.866 * [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 0.866 * [taylor]: Taking taylor 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 0.866 * [taylor]: Taking taylor 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 0.867 * [taylor]: Taking taylor 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 0.867 * [taylor]: Taking taylor 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 0.867 * [taylor]: Taking taylor 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 0.868 * [taylor]: Taking taylor 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 0.868 * [taylor]: Taking taylor 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 0.869 * [taylor]: Taking taylor 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 0.869 * [taylor]: Taking taylor expansion of 0 in phi2 0.869 * [taylor]: Taking taylor expansion of 0 in lambda1 0.869 * [taylor]: Taking taylor expansion of 0 in lambda2 0.869 * [taylor]: Taking taylor expansion of 0 in lambda1 0.869 * [taylor]: Taking taylor expansion of 0 in lambda2 0.870 * [taylor]: Taking taylor expansion of 0 in lambda2 0.870 * [taylor]: Taking taylor expansion of 0 in phi2 0.870 * [taylor]: Taking taylor expansion of 0 in lambda1 0.870 * [taylor]: Taking taylor expansion of 0 in lambda2 0.870 * [taylor]: Taking taylor expansion of 0 in lambda1 0.870 * [taylor]: Taking taylor expansion of 0 in lambda2 0.870 * [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 0.870 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.871 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.871 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.872 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.872 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.873 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.873 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.874 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.875 * [taylor]: Taking taylor expansion of 0 in phi2 0.875 * [taylor]: Taking taylor expansion of 0 in lambda1 0.875 * [taylor]: Taking taylor expansion of 0 in lambda2 0.875 * [taylor]: Taking taylor expansion of 0 in lambda1 0.875 * [taylor]: Taking taylor expansion of 0 in lambda2 0.875 * [taylor]: Taking taylor expansion of 0 in lambda2 0.875 * [taylor]: Taking taylor expansion of 0 in phi2 0.875 * [taylor]: Taking taylor expansion of 0 in lambda1 0.875 * [taylor]: Taking taylor expansion of 0 in lambda2 0.875 * [taylor]: Taking taylor expansion of 0 in lambda1 0.875 * [taylor]: Taking taylor expansion of 0 in lambda2 0.879 * [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 0.879 * [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 lambda2 0.879 * [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 0.880 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.880 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.881 * [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 phi1 0.881 * [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 0.882 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.882 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.883 * [taylor]: Taking taylor expansion of 0 in phi2 0.883 * [taylor]: Taking taylor expansion of 0 in lambda1 0.883 * [taylor]: Taking taylor expansion of 0 in lambda2 0.883 * [taylor]: Taking taylor expansion of 0 in lambda1 0.883 * [taylor]: Taking taylor expansion of 0 in lambda2 0.883 * [taylor]: Taking taylor expansion of 0 in lambda2 0.883 * [taylor]: Taking taylor expansion of 0 in phi2 0.883 * [taylor]: Taking taylor expansion of 0 in lambda1 0.883 * [taylor]: Taking taylor expansion of 0 in lambda2 0.883 * [taylor]: Taking taylor expansion of 0 in lambda1 0.883 * [taylor]: Taking taylor expansion of 0 in lambda2 0.884 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.885 * [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 0.885 * [taylor]: Taking 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 0.885 * [taylor]: Taking taylor 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 0.885 * [taylor]: Taking taylor expansion of R in R 0.885 * [taylor]: Taking 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 0.885 * [taylor]: Taking taylor 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 0.885 * [taylor]: Taking taylor expansion of R in lambda2 0.885 * [taylor]: Taking 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 0.885 * [taylor]: Taking taylor 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 0.886 * [taylor]: Taking taylor expansion of R in lambda1 0.886 * [taylor]: Taking 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 0.886 * [taylor]: Taking taylor 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 0.886 * [taylor]: Taking taylor expansion of R in phi2 0.886 * [taylor]: Taking 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 0.886 * [taylor]: Taking taylor 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 0.887 * [taylor]: Taking taylor expansion of R in phi1 0.887 * [taylor]: Taking 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 0.887 * [taylor]: Taking taylor 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 0.887 * [taylor]: Taking taylor expansion of R in phi1 0.887 * [taylor]: Taking 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 0.887 * [taylor]: Taking taylor 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 0.888 * [taylor]: Taking taylor expansion of R in phi2 0.888 * [taylor]: Taking 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 0.888 * [taylor]: Taking taylor 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 0.889 * [taylor]: Taking taylor expansion of R in lambda1 0.889 * [taylor]: Taking 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 0.889 * [taylor]: Taking taylor 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 0.889 * [taylor]: Taking taylor expansion of R in lambda2 0.890 * [taylor]: Taking 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 0.890 * [taylor]: Taking taylor 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 0.890 * [taylor]: Taking taylor expansion of R in R 0.891 * [taylor]: Taking taylor expansion of 0 in phi2 0.891 * [taylor]: Taking taylor expansion of 0 in lambda1 0.891 * [taylor]: Taking taylor expansion of 0 in lambda2 0.891 * [taylor]: Taking taylor expansion of 0 in R 0.891 * [taylor]: Taking taylor expansion of 0 in lambda1 0.891 * [taylor]: Taking taylor expansion of 0 in lambda2 0.891 * [taylor]: Taking taylor expansion of 0 in R 0.892 * [taylor]: Taking taylor expansion of 0 in lambda2 0.892 * [taylor]: Taking taylor expansion of 0 in R 0.893 * [taylor]: Taking taylor expansion of 0 in R 0.895 * [taylor]: Taking taylor expansion of 0 in phi2 0.895 * [taylor]: Taking taylor expansion of 0 in lambda1 0.895 * [taylor]: Taking taylor expansion of 0 in lambda2 0.895 * [taylor]: Taking taylor expansion of 0 in R 0.895 * [taylor]: Taking taylor expansion of 0 in lambda1 0.895 * [taylor]: Taking taylor expansion of 0 in lambda2 0.895 * [taylor]: Taking taylor expansion of 0 in R 0.896 * [taylor]: Taking taylor expansion of 0 in lambda1 0.896 * [taylor]: Taking taylor expansion of 0 in lambda2 0.896 * [taylor]: Taking taylor expansion of 0 in R 0.896 * [taylor]: Taking taylor expansion of 0 in lambda2 0.896 * [taylor]: Taking taylor expansion of 0 in R 0.896 * [taylor]: Taking taylor expansion of 0 in lambda2 0.896 * [taylor]: Taking taylor expansion of 0 in R 0.896 * [taylor]: Taking taylor expansion of 0 in lambda2 0.897 * [taylor]: Taking taylor expansion of 0 in R 0.898 * [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 0.898 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 0.898 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.898 * [taylor]: Taking taylor expansion of R in R 0.899 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 0.899 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.899 * [taylor]: Taking taylor expansion of R in lambda2 0.900 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 0.900 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.900 * [taylor]: Taking taylor expansion of R in lambda1 0.901 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 0.901 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.901 * [taylor]: Taking taylor expansion of R in phi2 0.902 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 0.902 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.902 * [taylor]: Taking taylor expansion of R in phi1 0.903 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 0.903 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.903 * [taylor]: Taking taylor expansion of R in phi1 0.904 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 0.904 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.905 * [taylor]: Taking taylor expansion of R in phi2 0.905 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 0.905 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.906 * [taylor]: Taking taylor expansion of R in lambda1 0.906 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 0.906 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.907 * [taylor]: Taking taylor expansion of R in lambda2 0.907 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 0.907 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.908 * [taylor]: Taking taylor expansion of R in R 0.909 * [taylor]: Taking taylor expansion of 0 in phi2 0.909 * [taylor]: Taking taylor expansion of 0 in lambda1 0.909 * [taylor]: Taking taylor expansion of 0 in lambda2 0.909 * [taylor]: Taking taylor expansion of 0 in R 0.910 * [taylor]: Taking taylor expansion of 0 in lambda1 0.910 * [taylor]: Taking taylor expansion of 0 in lambda2 0.910 * [taylor]: Taking taylor expansion of 0 in R 0.911 * [taylor]: Taking taylor expansion of 0 in lambda2 0.911 * [taylor]: Taking taylor expansion of 0 in R 0.911 * [taylor]: Taking taylor expansion of 0 in R 0.913 * [taylor]: Taking taylor expansion of 0 in phi2 0.913 * [taylor]: Taking taylor expansion of 0 in lambda1 0.913 * [taylor]: Taking taylor expansion of 0 in lambda2 0.913 * [taylor]: Taking taylor expansion of 0 in R 0.913 * [taylor]: Taking taylor expansion of 0 in lambda1 0.913 * [taylor]: Taking taylor expansion of 0 in lambda2 0.913 * [taylor]: Taking taylor expansion of 0 in R 0.914 * [taylor]: Taking taylor expansion of 0 in lambda1 0.914 * [taylor]: Taking taylor expansion of 0 in lambda2 0.914 * [taylor]: Taking taylor expansion of 0 in R 0.914 * [taylor]: Taking taylor expansion of 0 in lambda2 0.914 * [taylor]: Taking taylor expansion of 0 in R 0.914 * [taylor]: Taking taylor expansion of 0 in lambda2 0.914 * [taylor]: Taking taylor expansion of 0 in R 0.915 * [taylor]: Taking taylor expansion of 0 in lambda2 0.915 * [taylor]: Taking taylor expansion of 0 in R 0.915 * [taylor]: Taking taylor expansion of 0 in R 0.915 * [taylor]: Taking taylor expansion of 0 in R 0.915 * [taylor]: Taking taylor expansion of 0 in R 0.916 * [taylor]: Taking taylor expansion of 0 in R 0.919 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 0.919 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 0.919 * [taylor]: Taking taylor expansion of -1 in R 0.919 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 0.919 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 0.919 * [taylor]: Taking taylor expansion of R in R 0.920 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 0.920 * [taylor]: Taking taylor expansion of -1 in lambda2 0.920 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 0.920 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.920 * [taylor]: Taking taylor expansion of R in lambda2 0.921 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 0.921 * [taylor]: Taking taylor expansion of -1 in lambda1 0.921 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 0.921 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.921 * [taylor]: Taking taylor expansion of R in lambda1 0.922 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 0.922 * [taylor]: Taking taylor expansion of -1 in phi2 0.922 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 0.922 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.923 * [taylor]: Taking taylor expansion of R in phi2 0.923 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 0.923 * [taylor]: Taking taylor expansion of -1 in phi1 0.923 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 0.923 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.924 * [taylor]: Taking taylor expansion of R in phi1 0.924 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 0.924 * [taylor]: Taking taylor expansion of -1 in phi1 0.924 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 0.924 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.925 * [taylor]: Taking taylor expansion of R in phi1 0.926 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 0.926 * [taylor]: Taking taylor expansion of -1 in phi2 0.926 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 0.926 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.926 * [taylor]: Taking taylor expansion of R in phi2 0.927 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 0.927 * [taylor]: Taking taylor expansion of -1 in lambda1 0.927 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 0.927 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.928 * [taylor]: Taking taylor expansion of R in lambda1 0.929 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 0.929 * [taylor]: Taking taylor expansion of -1 in lambda2 0.929 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 0.929 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.929 * [taylor]: Taking taylor expansion of R in lambda2 0.931 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 0.931 * [taylor]: Taking taylor expansion of -1 in R 0.931 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 0.931 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 0.931 * [taylor]: Taking taylor expansion of R in R 0.934 * [taylor]: Taking taylor expansion of 0 in phi2 0.934 * [taylor]: Taking taylor expansion of 0 in lambda1 0.934 * [taylor]: Taking taylor expansion of 0 in lambda2 0.934 * [taylor]: Taking taylor expansion of 0 in R 0.936 * [taylor]: Taking taylor expansion of 0 in lambda1 0.936 * [taylor]: Taking taylor expansion of 0 in lambda2 0.936 * [taylor]: Taking taylor expansion of 0 in R 0.937 * [taylor]: Taking taylor expansion of 0 in lambda2 0.938 * [taylor]: Taking taylor expansion of 0 in R 0.939 * [taylor]: Taking taylor expansion of 0 in R 0.943 * [taylor]: Taking taylor expansion of 0 in phi2 0.943 * [taylor]: Taking taylor expansion of 0 in lambda1 0.943 * [taylor]: Taking taylor expansion of 0 in lambda2 0.943 * [taylor]: Taking taylor expansion of 0 in R 0.943 * [taylor]: Taking taylor expansion of 0 in lambda1 0.943 * [taylor]: Taking taylor expansion of 0 in lambda2 0.943 * [taylor]: Taking taylor expansion of 0 in R 0.945 * [taylor]: Taking taylor expansion of 0 in lambda1 0.945 * [taylor]: Taking taylor expansion of 0 in lambda2 0.945 * [taylor]: Taking taylor expansion of 0 in R 0.945 * [taylor]: Taking taylor expansion of 0 in lambda2 0.945 * [taylor]: Taking taylor expansion of 0 in R 0.945 * [taylor]: Taking taylor expansion of 0 in lambda2 0.945 * [taylor]: Taking taylor expansion of 0 in R 0.947 * [taylor]: Taking taylor expansion of 0 in lambda2 0.947 * [taylor]: Taking taylor expansion of 0 in R 0.947 * [taylor]: Taking taylor expansion of 0 in R 0.947 * [taylor]: Taking taylor expansion of 0 in R 0.947 * [taylor]: Taking taylor expansion of 0 in R 0.949 * [taylor]: Taking taylor expansion of 0 in R 0.952 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.952 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 0.953 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 0.953 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 0.953 * [taylor]: Taking taylor expansion of phi1 in phi2 0.953 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.953 * [taylor]: Taking taylor expansion of phi2 in phi2 0.953 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.953 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.953 * [taylor]: Taking taylor expansion of phi1 in phi1 0.953 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.953 * [taylor]: Taking taylor expansion of phi2 in phi1 0.953 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.953 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.953 * [taylor]: Taking taylor expansion of phi1 in phi1 0.953 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.953 * [taylor]: Taking taylor expansion of phi2 in phi1 0.953 * [taylor]: Taking taylor expansion of 0 in phi2 0.955 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.955 * [taylor]: Taking taylor expansion of phi2 in phi2 0.960 * [taylor]: Taking taylor expansion of 0 in phi2 0.965 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 0.965 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 0.965 * [taylor]: Taking taylor expansion of 1/6 in phi2 0.965 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.965 * [taylor]: Taking taylor expansion of phi2 in phi2 0.971 * [taylor]: Taking taylor expansion of 0 in phi2 0.971 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 0.971 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.971 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.971 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.971 * [taylor]: Taking taylor expansion of phi1 in phi2 0.971 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.971 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.971 * [taylor]: Taking taylor expansion of phi2 in phi2 0.971 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.971 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.971 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.971 * [taylor]: Taking taylor expansion of phi1 in phi1 0.972 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.972 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.972 * [taylor]: Taking taylor expansion of phi2 in phi1 0.972 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.972 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.972 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.972 * [taylor]: Taking taylor expansion of phi1 in phi1 0.972 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.972 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.972 * [taylor]: Taking taylor expansion of phi2 in phi1 0.972 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.972 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.973 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.973 * [taylor]: Taking taylor expansion of phi1 in phi2 0.973 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.973 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.973 * [taylor]: Taking taylor expansion of phi2 in phi2 0.975 * [taylor]: Taking taylor expansion of 0 in phi2 0.979 * [taylor]: Taking taylor expansion of 0 in phi2 0.984 * [taylor]: Taking taylor expansion of 0 in phi2 0.984 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 0.984 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.984 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.984 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.984 * [taylor]: Taking taylor expansion of -1 in phi2 0.984 * [taylor]: Taking taylor expansion of phi1 in phi2 0.984 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.984 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.984 * [taylor]: Taking taylor expansion of -1 in phi2 0.984 * [taylor]: Taking taylor expansion of phi2 in phi2 0.985 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.985 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.985 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.985 * [taylor]: Taking taylor expansion of -1 in phi1 0.985 * [taylor]: Taking taylor expansion of phi1 in phi1 0.985 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.985 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.985 * [taylor]: Taking taylor expansion of -1 in phi1 0.985 * [taylor]: Taking taylor expansion of phi2 in phi1 0.985 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.985 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.985 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.985 * [taylor]: Taking taylor expansion of -1 in phi1 0.985 * [taylor]: Taking taylor expansion of phi1 in phi1 0.986 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.986 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.986 * [taylor]: Taking taylor expansion of -1 in phi1 0.986 * [taylor]: Taking taylor expansion of phi2 in phi1 0.986 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.986 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.986 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.986 * [taylor]: Taking taylor expansion of -1 in phi2 0.986 * [taylor]: Taking taylor expansion of phi1 in phi2 0.986 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.986 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.986 * [taylor]: Taking taylor expansion of -1 in phi2 0.986 * [taylor]: Taking taylor expansion of phi2 in phi2 0.989 * [taylor]: Taking taylor expansion of 0 in phi2 0.993 * [taylor]: Taking taylor expansion of 0 in phi2 0.998 * [taylor]: Taking taylor expansion of 0 in phi2 0.999 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 0.999 * [approximate]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.999 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in lambda2 0.999 * [taylor]: Taking taylor expansion of (cos phi1) in lambda2 0.999 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.999 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in lambda2 0.999 * [taylor]: Taking taylor expansion of (cos phi2) in lambda2 0.999 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.999 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in lambda2 0.999 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda2 0.999 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda2 0.999 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.999 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 0.999 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.999 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 0.999 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 0.999 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.999 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 0.999 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.999 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in lambda1 0.999 * [taylor]: Taking taylor expansion of (cos phi1) in lambda1 0.999 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.999 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in lambda1 0.999 * [taylor]: Taking taylor expansion of (cos phi2) in lambda1 0.999 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.999 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in lambda1 0.999 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 0.999 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 1.000 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.000 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 1.000 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.000 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.000 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.000 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.000 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.000 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.000 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in phi2 1.000 * [taylor]: Taking taylor expansion of (cos phi1) in phi2 1.000 * [taylor]: Taking taylor expansion of phi1 in phi2 1.000 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in phi2 1.000 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 1.000 * [taylor]: Taking taylor expansion of phi2 in phi2 1.000 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in phi2 1.000 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi2 1.000 * [taylor]: Taking taylor expansion of (cos lambda1) in phi2 1.000 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.000 * [taylor]: Taking taylor expansion of (cos lambda2) in phi2 1.000 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.000 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi2 1.000 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 1.000 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.000 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 1.000 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.000 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in phi1 1.000 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 1.000 * [taylor]: Taking taylor expansion of phi1 in phi1 1.000 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in phi1 1.000 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 1.000 * [taylor]: Taking taylor expansion of phi2 in phi1 1.000 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in phi1 1.000 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi1 1.000 * [taylor]: Taking taylor expansion of (cos lambda1) in phi1 1.000 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.000 * [taylor]: Taking taylor expansion of (cos lambda2) in phi1 1.000 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.000 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi1 1.000 * [taylor]: Taking taylor expansion of (sin lambda1) in phi1 1.000 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.001 * [taylor]: Taking taylor expansion of (sin lambda2) in phi1 1.001 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.001 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in phi1 1.001 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 1.001 * [taylor]: Taking taylor expansion of phi1 in phi1 1.001 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in phi1 1.001 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 1.001 * [taylor]: Taking taylor expansion of phi2 in phi1 1.001 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in phi1 1.001 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi1 1.001 * [taylor]: Taking taylor expansion of (cos lambda1) in phi1 1.001 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.001 * [taylor]: Taking taylor expansion of (cos lambda2) in phi1 1.001 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.001 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi1 1.001 * [taylor]: Taking taylor expansion of (sin lambda1) in phi1 1.001 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.001 * [taylor]: Taking taylor expansion of (sin lambda2) in phi1 1.001 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.003 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in phi2 1.003 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 1.003 * [taylor]: Taking taylor expansion of phi2 in phi2 1.003 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in phi2 1.003 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi2 1.003 * [taylor]: Taking taylor expansion of (cos lambda1) in phi2 1.003 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.003 * [taylor]: Taking taylor expansion of (cos lambda2) in phi2 1.003 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.003 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi2 1.003 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 1.003 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.003 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 1.003 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.004 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in lambda1 1.004 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 1.004 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 1.004 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.004 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 1.004 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.004 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.004 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.004 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.004 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.004 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.005 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 1.005 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.014 * [taylor]: Taking taylor expansion of 0 in phi2 1.014 * [taylor]: Taking taylor expansion of 0 in lambda1 1.014 * [taylor]: Taking taylor expansion of 0 in lambda2 1.021 * [taylor]: Taking taylor expansion of 0 in lambda1 1.021 * [taylor]: Taking taylor expansion of 0 in lambda2 1.025 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.025 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.037 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* (cos lambda1) (* (cos phi2) (cos lambda2)))) (* 1/2 (* (sin lambda1) (* (cos phi2) (sin lambda2)))))) in phi2 1.037 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (cos lambda1) (* (cos phi2) (cos lambda2)))) (* 1/2 (* (sin lambda1) (* (cos phi2) (sin lambda2))))) in phi2 1.037 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos lambda1) (* (cos phi2) (cos lambda2)))) in phi2 1.038 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.038 * [taylor]: Taking taylor expansion of (* (cos lambda1) (* (cos phi2) (cos lambda2))) in phi2 1.038 * [taylor]: Taking taylor expansion of (cos lambda1) in phi2 1.038 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.038 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos lambda2)) in phi2 1.038 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 1.038 * [taylor]: Taking taylor expansion of phi2 in phi2 1.038 * [taylor]: Taking taylor expansion of (cos lambda2) in phi2 1.038 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.038 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (* (cos phi2) (sin lambda2)))) in phi2 1.038 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.038 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi2) (sin lambda2))) in phi2 1.038 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 1.038 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.038 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in phi2 1.038 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 1.038 * [taylor]: Taking taylor expansion of phi2 in phi2 1.038 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 1.038 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.039 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* (cos lambda1) (cos lambda2))) (* 1/2 (* (sin lambda1) (sin lambda2))))) in lambda1 1.039 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (cos lambda1) (cos lambda2))) (* 1/2 (* (sin lambda1) (sin lambda2)))) in lambda1 1.039 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos lambda1) (cos lambda2))) in lambda1 1.039 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.039 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 1.039 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 1.039 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.039 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 1.039 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.039 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (sin lambda2))) in lambda1 1.039 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.039 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.039 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.039 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.040 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.040 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.040 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos lambda2))) in lambda2 1.040 * [taylor]: Taking taylor expansion of (* 1/2 (cos lambda2)) in lambda2 1.040 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.040 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 1.040 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.041 * [taylor]: Taking taylor expansion of 0 in lambda1 1.041 * [taylor]: Taking taylor expansion of 0 in lambda2 1.054 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* (cos lambda1) (cos lambda2))) (* 1/2 (* (sin lambda1) (sin lambda2))))) in lambda1 1.054 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (cos lambda1) (cos lambda2))) (* 1/2 (* (sin lambda1) (sin lambda2)))) in lambda1 1.054 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos lambda1) (cos lambda2))) in lambda1 1.054 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.054 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 1.054 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 1.054 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.054 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 1.054 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.054 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (sin lambda2))) in lambda1 1.054 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.054 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.054 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.054 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.054 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.054 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.055 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos lambda2))) in lambda2 1.055 * [taylor]: Taking taylor expansion of (* 1/2 (cos lambda2)) in lambda2 1.055 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.055 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 1.055 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.056 * [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 1.056 * [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 1.056 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 1.056 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.056 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.056 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in lambda2 1.056 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 1.056 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.056 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.056 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda2 1.057 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.057 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.057 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.057 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.057 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.057 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.057 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.057 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda2 1.057 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda2 1.057 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.057 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.057 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda2 1.057 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.057 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.057 * [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 1.058 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 1.058 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.058 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.058 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in lambda1 1.058 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 1.058 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.058 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.058 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda1 1.058 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.058 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.058 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.058 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.058 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.058 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.058 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.058 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda1 1.058 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda1 1.058 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.058 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.058 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda1 1.058 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.058 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.059 * [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 1.059 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 1.059 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.059 * [taylor]: Taking taylor expansion of phi2 in phi2 1.059 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in phi2 1.059 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 1.059 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.059 * [taylor]: Taking taylor expansion of phi1 in phi2 1.059 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi2 1.059 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in phi2 1.059 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi2 1.059 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.059 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.059 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi2 1.059 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.059 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.060 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi2 1.060 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi2 1.060 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.060 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.060 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi2 1.060 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.060 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.060 * [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 1.060 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 1.060 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.060 * [taylor]: Taking taylor expansion of phi2 in phi1 1.060 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in phi1 1.060 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 1.060 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.060 * [taylor]: Taking taylor expansion of phi1 in phi1 1.060 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi1 1.060 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in phi1 1.060 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi1 1.060 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.060 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.060 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi1 1.060 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.060 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.061 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi1 1.061 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi1 1.061 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.061 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.061 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi1 1.061 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.061 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.061 * [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 1.061 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 1.061 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.061 * [taylor]: Taking taylor expansion of phi2 in phi1 1.061 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in phi1 1.061 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 1.061 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.061 * [taylor]: Taking taylor expansion of phi1 in phi1 1.061 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi1 1.061 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in phi1 1.061 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi1 1.061 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.061 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.061 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi1 1.061 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.062 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.062 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi1 1.062 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi1 1.062 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.062 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.062 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi1 1.062 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.062 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.064 * [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 1.064 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 1.064 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.064 * [taylor]: Taking taylor expansion of phi2 in phi2 1.064 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in phi2 1.064 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 1.064 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.064 * [taylor]: Taking taylor expansion of phi1 in phi2 1.064 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi2 1.064 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in phi2 1.064 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi2 1.064 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.064 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.065 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi2 1.065 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.065 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.065 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi2 1.065 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi2 1.065 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.065 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.065 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi2 1.065 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.065 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.067 * [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 1.067 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 1.067 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.067 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.067 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in lambda1 1.067 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 1.067 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.067 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.067 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda1 1.067 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.067 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.067 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.067 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.067 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.067 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.067 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.068 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda1 1.068 * [taylor]: Taking taylor expansion of (cos (/ 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 (cos (/ 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 1.070 * [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 1.070 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 1.070 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.070 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.070 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in lambda2 1.070 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 1.070 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.070 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.070 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda2 1.070 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.070 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.070 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.070 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.070 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.070 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.070 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.071 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda2 1.071 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda2 1.071 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.071 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.071 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda2 1.071 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.071 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.082 * [taylor]: Taking taylor expansion of 0 in phi2 1.082 * [taylor]: Taking taylor expansion of 0 in lambda1 1.082 * [taylor]: Taking taylor expansion of 0 in lambda2 1.092 * [taylor]: Taking taylor expansion of 0 in lambda1 1.092 * [taylor]: Taking taylor expansion of 0 in lambda2 1.099 * [taylor]: Taking taylor expansion of 0 in lambda2 1.121 * [taylor]: Taking taylor expansion of 0 in phi2 1.121 * [taylor]: Taking taylor expansion of 0 in lambda1 1.121 * [taylor]: Taking taylor expansion of 0 in lambda2 1.121 * [taylor]: Taking taylor expansion of 0 in lambda1 1.121 * [taylor]: Taking taylor expansion of 0 in lambda2 1.121 * [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 1.121 * [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 1.121 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 1.121 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 1.121 * [taylor]: Taking taylor expansion of -1 in lambda2 1.121 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.122 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in lambda2 1.122 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 1.122 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 1.122 * [taylor]: Taking taylor expansion of -1 in lambda2 1.122 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.122 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in lambda2 1.122 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda2 1.122 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda2 1.122 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.122 * [taylor]: Taking taylor expansion of -1 in lambda2 1.122 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.122 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda2 1.122 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.122 * [taylor]: Taking taylor expansion of -1 in lambda2 1.122 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.122 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.122 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.122 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.122 * [taylor]: Taking taylor expansion of -1 in lambda2 1.122 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.122 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.123 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.123 * [taylor]: Taking taylor expansion of -1 in lambda2 1.123 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.123 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in lambda1 1.123 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 1.123 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 1.123 * [taylor]: Taking taylor expansion of -1 in lambda1 1.123 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.123 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in lambda1 1.123 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 1.123 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 1.123 * [taylor]: Taking taylor expansion of -1 in lambda1 1.123 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.123 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in lambda1 1.123 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda1 1.123 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda1 1.123 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.123 * [taylor]: Taking taylor expansion of -1 in lambda1 1.123 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.124 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda1 1.124 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.124 * [taylor]: Taking taylor expansion of -1 in lambda1 1.124 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.124 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.124 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.124 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.124 * [taylor]: Taking taylor expansion of -1 in lambda1 1.124 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.124 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.124 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.124 * [taylor]: Taking taylor expansion of -1 in lambda1 1.124 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.124 * [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 1.124 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 1.124 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.124 * [taylor]: Taking taylor expansion of -1 in phi2 1.124 * [taylor]: Taking taylor expansion of phi1 in phi2 1.124 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in phi2 1.125 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 1.125 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.125 * [taylor]: Taking taylor expansion of -1 in phi2 1.125 * [taylor]: Taking taylor expansion of phi2 in phi2 1.125 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in phi2 1.125 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi2 1.125 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi2 1.125 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 1.125 * [taylor]: Taking taylor expansion of -1 in phi2 1.125 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.125 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi2 1.125 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 1.125 * [taylor]: Taking taylor expansion of -1 in phi2 1.125 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.125 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in phi2 1.125 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi2 1.125 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 1.125 * [taylor]: Taking taylor expansion of -1 in phi2 1.125 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.125 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi2 1.125 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 1.125 * [taylor]: Taking taylor expansion of -1 in phi2 1.125 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.126 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in phi1 1.126 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 1.126 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.126 * [taylor]: Taking taylor expansion of -1 in phi1 1.126 * [taylor]: Taking taylor expansion of phi1 in phi1 1.126 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in phi1 1.126 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 1.126 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.126 * [taylor]: Taking taylor expansion of -1 in phi1 1.126 * [taylor]: Taking taylor expansion of phi2 in phi1 1.126 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in phi1 1.126 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi1 1.126 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi1 1.126 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 1.126 * [taylor]: Taking taylor expansion of -1 in phi1 1.126 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.126 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi1 1.126 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 1.126 * [taylor]: Taking taylor expansion of -1 in phi1 1.126 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.126 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in phi1 1.126 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi1 1.126 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 1.126 * [taylor]: Taking taylor expansion of -1 in phi1 1.126 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.127 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi1 1.127 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 1.127 * [taylor]: Taking taylor expansion of -1 in phi1 1.127 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.127 * [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 1.127 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 1.127 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.127 * [taylor]: Taking taylor expansion of -1 in phi1 1.127 * [taylor]: Taking taylor expansion of phi1 in phi1 1.127 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in phi1 1.127 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 1.127 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.127 * [taylor]: Taking taylor expansion of -1 in phi1 1.127 * [taylor]: Taking taylor expansion of phi2 in phi1 1.127 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in phi1 1.127 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi1 1.127 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi1 1.127 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 1.127 * [taylor]: Taking taylor expansion of -1 in phi1 1.127 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.127 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi1 1.127 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 1.127 * [taylor]: Taking taylor expansion of -1 in phi1 1.127 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.128 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in phi1 1.128 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi1 1.128 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 1.128 * [taylor]: Taking taylor expansion of -1 in phi1 1.128 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.128 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi1 1.128 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 1.128 * [taylor]: Taking taylor expansion of -1 in phi1 1.128 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.130 * [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 1.130 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 1.130 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.130 * [taylor]: Taking taylor expansion of -1 in phi2 1.130 * [taylor]: Taking taylor expansion of phi1 in phi2 1.130 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in phi2 1.130 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 1.130 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.130 * [taylor]: Taking taylor expansion of -1 in phi2 1.130 * [taylor]: Taking taylor expansion of phi2 in phi2 1.130 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in phi2 1.130 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi2 1.130 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi2 1.130 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 1.130 * [taylor]: Taking taylor expansion of -1 in phi2 1.131 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.131 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi2 1.131 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 1.131 * [taylor]: Taking taylor expansion of -1 in phi2 1.131 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.131 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in phi2 1.131 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi2 1.131 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 1.131 * [taylor]: Taking taylor expansion of -1 in phi2 1.131 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.131 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi2 1.131 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 1.131 * [taylor]: Taking taylor expansion of -1 in phi2 1.131 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.133 * [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 1.133 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 1.133 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 1.133 * [taylor]: Taking taylor expansion of -1 in lambda1 1.133 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.133 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in lambda1 1.133 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 1.133 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 1.133 * [taylor]: Taking taylor expansion of -1 in lambda1 1.133 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.133 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in lambda1 1.133 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda1 1.133 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda1 1.133 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.133 * [taylor]: Taking taylor expansion of -1 in lambda1 1.133 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.134 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda1 1.134 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.134 * [taylor]: Taking taylor expansion of -1 in lambda1 1.134 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.134 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.134 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.134 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.134 * [taylor]: Taking taylor expansion of -1 in lambda1 1.134 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.134 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.134 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.134 * [taylor]: Taking taylor expansion of -1 in lambda1 1.134 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.136 * [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 1.136 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 1.136 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 1.136 * [taylor]: Taking taylor expansion of -1 in lambda2 1.136 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.136 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in lambda2 1.136 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 1.136 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 1.136 * [taylor]: Taking taylor expansion of -1 in lambda2 1.137 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.137 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in lambda2 1.137 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda2 1.137 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda2 1.137 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.137 * [taylor]: Taking taylor expansion of -1 in lambda2 1.137 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.137 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda2 1.137 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.137 * [taylor]: Taking taylor expansion of -1 in lambda2 1.137 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.137 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.137 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.137 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.137 * [taylor]: Taking taylor expansion of -1 in lambda2 1.137 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.137 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.137 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.137 * [taylor]: Taking taylor expansion of -1 in lambda2 1.137 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.152 * [taylor]: Taking taylor expansion of 0 in phi2 1.152 * [taylor]: Taking taylor expansion of 0 in lambda1 1.152 * [taylor]: Taking taylor expansion of 0 in lambda2 1.161 * [taylor]: Taking taylor expansion of 0 in lambda1 1.161 * [taylor]: Taking taylor expansion of 0 in lambda2 1.168 * [taylor]: Taking taylor expansion of 0 in lambda2 1.188 * [taylor]: Taking taylor expansion of 0 in phi2 1.188 * [taylor]: Taking taylor expansion of 0 in lambda1 1.188 * [taylor]: Taking taylor expansion of 0 in lambda2 1.188 * [taylor]: Taking taylor expansion of 0 in lambda1 1.188 * [taylor]: Taking taylor expansion of 0 in lambda2 1.189 * * * [progress]: simplifying candidates 1.190 * [simplify]: Simplifying using # : (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (+ (+ (log (cos phi1)) (log (cos phi2))) (log (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (+ (log (* (cos phi1) (cos phi2))) (log (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (log (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (exp (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))) (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))) (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (sqrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (sqrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (* (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) 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) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (- 1 (+ (* 1/2 (pow phi1 2)) (* 1/2 (pow phi2 2)))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) 1.197 * * [simplify]: iteration 0 : 486 enodes (cost 1308 ) 1.207 * * [simplify]: iteration 1 : 2165 enodes (cost 1097 ) 1.251 * * [simplify]: iteration 2 : 5001 enodes (cost 1096 ) 1.255 * [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 (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (log (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (log (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (log (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (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) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (- 1 (+ (* 1/2 (pow phi1 2)) (* 1/2 (pow phi2 2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 1.256 * * * [progress]: adding candidates to table 1.630 * * [progress]: iteration 3 / 4 1.630 * * * [progress]: picking best candidate 1.722 * * * * [pick]: Picked # 1.722 * * * [progress]: localizing error 1.760 * * * [progress]: generating rewritten candidates 1.760 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 1.761 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 1.761 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.770 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.773 * * * [progress]: generating series expansions 1.773 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 1.773 * [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 1.773 * [taylor]: Taking taylor 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 1.773 * [taylor]: Taking taylor 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 1.774 * [taylor]: Taking taylor 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 1.774 * [taylor]: Taking taylor 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 1.775 * [taylor]: Taking taylor 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 1.775 * [taylor]: Taking taylor 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 1.776 * [taylor]: Taking taylor 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 1.776 * [taylor]: Taking taylor 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 1.777 * [taylor]: Taking taylor expansion of 0 in phi2 1.777 * [taylor]: Taking taylor expansion of 0 in lambda1 1.777 * [taylor]: Taking taylor expansion of 0 in lambda2 1.777 * [taylor]: Taking taylor expansion of 0 in lambda1 1.777 * [taylor]: Taking taylor expansion of 0 in lambda2 1.777 * [taylor]: Taking taylor expansion of 0 in lambda2 1.777 * [taylor]: Taking taylor expansion of 0 in phi2 1.777 * [taylor]: Taking taylor expansion of 0 in lambda1 1.777 * [taylor]: Taking taylor expansion of 0 in lambda2 1.777 * [taylor]: Taking taylor expansion of 0 in lambda1 1.777 * [taylor]: Taking taylor expansion of 0 in lambda2 1.778 * [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 1.778 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.778 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.779 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.779 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.780 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.780 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.781 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.781 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.782 * [taylor]: Taking taylor expansion of 0 in phi2 1.782 * [taylor]: Taking taylor expansion of 0 in lambda1 1.782 * [taylor]: Taking taylor expansion of 0 in lambda2 1.782 * [taylor]: Taking taylor expansion of 0 in lambda1 1.782 * [taylor]: Taking taylor expansion of 0 in lambda2 1.782 * [taylor]: Taking taylor expansion of 0 in lambda2 1.783 * [taylor]: Taking taylor expansion of 0 in phi2 1.783 * [taylor]: Taking taylor expansion of 0 in lambda1 1.783 * [taylor]: Taking taylor expansion of 0 in lambda2 1.783 * [taylor]: Taking taylor expansion of 0 in lambda1 1.783 * [taylor]: Taking taylor expansion of 0 in lambda2 1.784 * [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 1.784 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.784 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.785 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.785 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.786 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.786 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.787 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.787 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.788 * [taylor]: Taking taylor expansion of 0 in phi2 1.788 * [taylor]: Taking taylor expansion of 0 in lambda1 1.788 * [taylor]: Taking taylor expansion of 0 in lambda2 1.789 * [taylor]: Taking taylor expansion of 0 in lambda1 1.789 * [taylor]: Taking taylor expansion of 0 in lambda2 1.789 * [taylor]: Taking taylor expansion of 0 in lambda2 1.789 * [taylor]: Taking taylor expansion of 0 in phi2 1.789 * [taylor]: Taking taylor expansion of 0 in lambda1 1.789 * [taylor]: Taking taylor expansion of 0 in lambda2 1.789 * [taylor]: Taking taylor expansion of 0 in lambda1 1.789 * [taylor]: Taking taylor expansion of 0 in lambda2 1.789 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 1.790 * [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 1.790 * [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 1.790 * [taylor]: Taking taylor 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 1.791 * [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 1.791 * [taylor]: Taking taylor 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 1.791 * [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 1.791 * [taylor]: Taking taylor 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 1.792 * [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 1.792 * [taylor]: Taking taylor 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 1.793 * [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 1.793 * [taylor]: Taking taylor 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 1.794 * [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 1.794 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.794 * [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 1.794 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.795 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2 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 1.798 * [taylor]: Taking taylor expansion of 0 in phi2 1.798 * [taylor]: Taking taylor expansion of 0 in lambda1 1.798 * [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 * [taylor]: Taking taylor expansion of 0 in lambda2 1.803 * [taylor]: Taking taylor expansion of 0 in phi2 1.803 * [taylor]: Taking taylor expansion of 0 in lambda1 1.803 * [taylor]: Taking taylor expansion of 0 in lambda2 1.803 * [taylor]: Taking taylor expansion of 0 in lambda1 1.803 * [taylor]: Taking taylor expansion of 0 in lambda2 1.804 * [approximate]: Taking taylor expansion of (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 1.804 * [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 1.804 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.805 * [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 1.805 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.806 * [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 1.806 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.807 * [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 1.807 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.808 * [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 1.808 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.809 * [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 1.809 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.810 * [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 1.810 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.811 * [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 1.811 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.814 * [taylor]: Taking taylor expansion of 0 in phi2 1.814 * [taylor]: Taking taylor expansion of 0 in lambda1 1.814 * [taylor]: Taking taylor expansion of 0 in lambda2 1.816 * [taylor]: Taking taylor expansion of 0 in lambda1 1.816 * [taylor]: Taking taylor expansion of 0 in lambda2 1.817 * [taylor]: Taking taylor expansion of 0 in lambda2 1.824 * [taylor]: Taking taylor expansion of 0 in phi2 1.824 * [taylor]: Taking taylor expansion of 0 in lambda1 1.824 * [taylor]: Taking taylor expansion of 0 in lambda2 1.824 * [taylor]: Taking taylor expansion of 0 in lambda1 1.824 * [taylor]: Taking taylor expansion of 0 in lambda2 1.825 * [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 1.825 * [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 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 (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 1.826 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.827 * [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 1.827 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.828 * [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 1.828 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.829 * [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 1.829 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.830 * [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 1.830 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.831 * [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 1.831 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.832 * [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 1.832 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.835 * [taylor]: Taking taylor expansion of 0 in phi2 1.835 * [taylor]: Taking taylor expansion of 0 in lambda1 1.835 * [taylor]: Taking taylor expansion of 0 in lambda2 1.836 * [taylor]: Taking taylor expansion of 0 in lambda1 1.836 * [taylor]: Taking taylor expansion of 0 in lambda2 1.837 * [taylor]: Taking taylor expansion of 0 in lambda2 1.841 * [taylor]: Taking taylor expansion of 0 in phi2 1.841 * [taylor]: Taking taylor expansion of 0 in lambda1 1.841 * [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 1.841 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.842 * [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 1.842 * [taylor]: Taking 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 1.842 * [taylor]: Taking taylor 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 1.842 * [taylor]: Taking taylor expansion of R in R 1.842 * [taylor]: Taking 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 1.842 * [taylor]: Taking taylor 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 1.843 * [taylor]: Taking taylor expansion of R in lambda2 1.843 * [taylor]: Taking 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 1.843 * [taylor]: Taking taylor 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 1.843 * [taylor]: Taking taylor expansion of R in lambda1 1.843 * [taylor]: Taking 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 1.843 * [taylor]: Taking taylor 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 1.844 * [taylor]: Taking taylor expansion of R in phi2 1.844 * [taylor]: Taking 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 1.844 * [taylor]: Taking taylor 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 1.844 * [taylor]: Taking taylor expansion of R in phi1 1.844 * [taylor]: Taking 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 1.844 * [taylor]: Taking taylor 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 1.844 * [taylor]: Taking taylor expansion of R in phi1 1.845 * [taylor]: Taking 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 1.845 * [taylor]: Taking taylor 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 1.845 * [taylor]: Taking taylor expansion of R in phi2 1.846 * [taylor]: Taking 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 1.846 * [taylor]: Taking taylor 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 1.846 * [taylor]: Taking taylor expansion of R in lambda1 1.846 * [taylor]: Taking 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 1.846 * [taylor]: Taking taylor 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 1.847 * [taylor]: Taking taylor expansion of R in lambda2 1.847 * [taylor]: Taking 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 1.847 * [taylor]: Taking taylor 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 1.848 * [taylor]: Taking taylor expansion of R in R 1.848 * [taylor]: Taking taylor expansion of 0 in phi2 1.848 * [taylor]: Taking taylor expansion of 0 in lambda1 1.848 * [taylor]: Taking taylor expansion of 0 in lambda2 1.848 * [taylor]: Taking taylor expansion of 0 in R 1.849 * [taylor]: Taking taylor expansion of 0 in lambda1 1.849 * [taylor]: Taking taylor expansion of 0 in lambda2 1.849 * [taylor]: Taking taylor expansion of 0 in R 1.849 * [taylor]: Taking taylor expansion of 0 in lambda2 1.849 * [taylor]: Taking taylor expansion of 0 in R 1.850 * [taylor]: Taking taylor expansion of 0 in R 1.852 * [taylor]: Taking taylor expansion of 0 in phi2 1.852 * [taylor]: Taking taylor expansion of 0 in lambda1 1.852 * [taylor]: Taking taylor expansion of 0 in lambda2 1.852 * [taylor]: Taking taylor expansion of 0 in R 1.852 * [taylor]: Taking taylor expansion of 0 in lambda1 1.852 * [taylor]: Taking taylor expansion of 0 in lambda2 1.852 * [taylor]: Taking taylor expansion of 0 in R 1.852 * [taylor]: Taking taylor expansion of 0 in lambda1 1.852 * [taylor]: Taking taylor expansion of 0 in lambda2 1.853 * [taylor]: Taking taylor expansion of 0 in R 1.853 * [taylor]: Taking taylor expansion of 0 in lambda2 1.853 * [taylor]: Taking taylor expansion of 0 in R 1.853 * [taylor]: Taking taylor expansion of 0 in lambda2 1.853 * [taylor]: Taking taylor expansion of 0 in R 1.853 * [taylor]: Taking taylor expansion of 0 in lambda2 1.853 * [taylor]: Taking taylor expansion of 0 in R 1.855 * [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 1.855 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.855 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.855 * [taylor]: Taking taylor expansion of R in R 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)))))))) R) in lambda2 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 lambda2 1.856 * [taylor]: Taking taylor expansion of R in lambda2 1.857 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.857 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.857 * [taylor]: Taking taylor expansion of R in lambda1 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)))))))) R) 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 1.858 * [taylor]: Taking taylor expansion of R in phi2 1.859 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.859 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.859 * [taylor]: Taking taylor expansion of R in phi1 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)))))))) R) in phi1 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 phi1 1.860 * [taylor]: Taking taylor expansion of R in phi1 1.861 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.861 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.862 * [taylor]: Taking taylor expansion of R in phi2 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)))))))) R) in lambda1 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 lambda1 1.863 * [taylor]: Taking taylor expansion of R in lambda1 1.863 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.863 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.864 * [taylor]: Taking taylor expansion of R in lambda2 1.864 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.864 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.865 * [taylor]: Taking taylor expansion of R in R 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 1.867 * [taylor]: Taking taylor expansion of 0 in R 1.867 * [taylor]: Taking taylor expansion of 0 in lambda1 1.867 * [taylor]: Taking taylor expansion of 0 in lambda2 1.867 * [taylor]: Taking taylor expansion of 0 in R 1.868 * [taylor]: Taking taylor expansion of 0 in lambda2 1.868 * [taylor]: Taking taylor expansion of 0 in R 1.869 * [taylor]: Taking taylor expansion of 0 in R 1.871 * [taylor]: Taking taylor expansion of 0 in phi2 1.871 * [taylor]: Taking taylor expansion of 0 in lambda1 1.871 * [taylor]: Taking taylor expansion of 0 in lambda2 1.871 * [taylor]: Taking taylor expansion of 0 in R 1.871 * [taylor]: Taking taylor expansion of 0 in lambda1 1.871 * [taylor]: Taking taylor expansion of 0 in lambda2 1.871 * [taylor]: Taking taylor expansion of 0 in R 1.871 * [taylor]: Taking taylor expansion of 0 in lambda1 1.871 * [taylor]: Taking taylor expansion of 0 in lambda2 1.871 * [taylor]: Taking taylor expansion of 0 in R 1.871 * [taylor]: Taking taylor expansion of 0 in lambda2 1.871 * [taylor]: Taking taylor expansion of 0 in R 1.871 * [taylor]: Taking taylor expansion of 0 in lambda2 1.871 * [taylor]: Taking taylor expansion of 0 in R 1.872 * [taylor]: Taking taylor expansion of 0 in lambda2 1.872 * [taylor]: Taking taylor expansion of 0 in R 1.872 * [taylor]: Taking taylor expansion of 0 in R 1.872 * [taylor]: Taking taylor expansion of 0 in R 1.872 * [taylor]: Taking taylor expansion of 0 in R 1.873 * [taylor]: Taking taylor expansion of 0 in R 1.876 * [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 1.876 * [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 1.876 * [taylor]: Taking taylor expansion of -1 in R 1.876 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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 1.876 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.877 * [taylor]: Taking taylor expansion of R in R 1.878 * [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 1.878 * [taylor]: Taking taylor expansion of -1 in lambda2 1.878 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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 1.878 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.878 * [taylor]: Taking taylor expansion of R in lambda2 1.879 * [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 1.879 * [taylor]: Taking taylor expansion of -1 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)))))) R) 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 1.879 * [taylor]: Taking taylor expansion of R in lambda1 1.880 * [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 1.880 * [taylor]: Taking taylor expansion of -1 in phi2 1.880 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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 1.880 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.880 * [taylor]: Taking taylor expansion of R in phi2 1.881 * [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 1.881 * [taylor]: Taking taylor expansion of -1 in phi1 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)))))) R) in phi1 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 phi1 1.882 * [taylor]: Taking taylor expansion of R in phi1 1.882 * [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 1.882 * [taylor]: Taking taylor expansion of -1 in phi1 1.882 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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 1.882 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 R in phi1 1.884 * [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 1.884 * [taylor]: Taking taylor expansion of -1 in phi2 1.884 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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 1.884 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.884 * [taylor]: Taking taylor expansion of R in phi2 1.885 * [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 1.886 * [taylor]: Taking taylor expansion of -1 in lambda1 1.886 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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 1.886 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.886 * [taylor]: Taking taylor expansion of R in lambda1 1.887 * [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 1.887 * [taylor]: Taking taylor expansion of -1 in lambda2 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)))))) R) in lambda2 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 lambda2 1.888 * [taylor]: Taking taylor expansion of R in lambda2 1.889 * [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 1.889 * [taylor]: Taking taylor expansion of -1 in R 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)))))) R) in R 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 R 1.889 * [taylor]: Taking taylor expansion of R in R 1.892 * [taylor]: Taking taylor expansion of 0 in phi2 1.892 * [taylor]: Taking taylor expansion of 0 in lambda1 1.892 * [taylor]: Taking taylor expansion of 0 in lambda2 1.892 * [taylor]: Taking taylor expansion of 0 in R 1.894 * [taylor]: Taking taylor expansion of 0 in lambda1 1.894 * [taylor]: Taking taylor expansion of 0 in lambda2 1.894 * [taylor]: Taking taylor expansion of 0 in R 1.895 * [taylor]: Taking taylor expansion of 0 in lambda2 1.895 * [taylor]: Taking taylor expansion of 0 in R 1.897 * [taylor]: Taking taylor expansion of 0 in R 1.901 * [taylor]: Taking taylor expansion of 0 in phi2 1.901 * [taylor]: Taking taylor expansion of 0 in lambda1 1.901 * [taylor]: Taking taylor expansion of 0 in lambda2 1.901 * [taylor]: Taking taylor expansion of 0 in R 1.901 * [taylor]: Taking taylor expansion of 0 in lambda1 1.901 * [taylor]: Taking taylor expansion of 0 in lambda2 1.901 * [taylor]: Taking taylor expansion of 0 in R 1.904 * [taylor]: Taking taylor expansion of 0 in lambda1 1.904 * [taylor]: Taking taylor expansion of 0 in lambda2 1.904 * [taylor]: Taking taylor expansion of 0 in R 1.905 * [taylor]: Taking taylor expansion of 0 in lambda2 1.905 * [taylor]: Taking taylor expansion of 0 in R 1.905 * [taylor]: Taking taylor expansion of 0 in lambda2 1.905 * [taylor]: Taking taylor expansion of 0 in R 1.906 * [taylor]: Taking taylor expansion of 0 in lambda2 1.907 * [taylor]: Taking taylor expansion of 0 in R 1.907 * [taylor]: Taking taylor expansion of 0 in R 1.907 * [taylor]: Taking taylor expansion of 0 in R 1.907 * [taylor]: Taking taylor expansion of 0 in R 1.908 * [taylor]: Taking taylor expansion of 0 in R 1.912 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.912 * [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 1.913 * [taylor]: Taking taylor 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 1.913 * [taylor]: Taking taylor 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 1.913 * [taylor]: Taking taylor 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 1.914 * [taylor]: Taking taylor 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 1.914 * [taylor]: Taking taylor 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 1.914 * [taylor]: Taking taylor 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 1.915 * [taylor]: Taking taylor 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 1.915 * [taylor]: Taking taylor 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 1.916 * [taylor]: Taking taylor expansion of 0 in phi2 1.916 * [taylor]: Taking taylor expansion of 0 in lambda1 1.916 * [taylor]: Taking taylor expansion of 0 in lambda2 1.916 * [taylor]: Taking taylor expansion of 0 in lambda1 1.916 * [taylor]: Taking taylor expansion of 0 in lambda2 1.916 * [taylor]: Taking taylor expansion of 0 in lambda2 1.916 * [taylor]: Taking taylor expansion of 0 in phi2 1.916 * [taylor]: Taking taylor expansion of 0 in lambda1 1.916 * [taylor]: Taking taylor expansion of 0 in lambda2 1.916 * [taylor]: Taking taylor expansion of 0 in lambda1 1.916 * [taylor]: Taking taylor expansion of 0 in lambda2 1.917 * [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 1.917 * [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 1.918 * [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 (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.919 * [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 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 1.920 * [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 phi2 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 lambda1 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 lambda2 1.922 * [taylor]: Taking taylor expansion of 0 in phi2 1.922 * [taylor]: Taking taylor expansion of 0 in lambda1 1.922 * [taylor]: Taking taylor expansion of 0 in lambda2 1.922 * [taylor]: Taking taylor expansion of 0 in lambda1 1.922 * [taylor]: Taking taylor expansion of 0 in lambda2 1.922 * [taylor]: Taking taylor expansion of 0 in lambda2 1.922 * [taylor]: Taking taylor expansion of 0 in phi2 1.923 * [taylor]: Taking taylor expansion of 0 in lambda1 1.923 * [taylor]: Taking taylor expansion of 0 in lambda2 1.923 * [taylor]: Taking taylor expansion of 0 in lambda1 1.923 * [taylor]: Taking taylor expansion of 0 in lambda2 1.924 * [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 1.924 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.924 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.925 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.925 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.926 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.926 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.927 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.927 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.928 * [taylor]: Taking taylor expansion of 0 in phi2 1.928 * [taylor]: Taking taylor expansion of 0 in lambda1 1.929 * [taylor]: Taking taylor expansion of 0 in lambda2 1.929 * [taylor]: Taking taylor expansion of 0 in lambda1 1.929 * [taylor]: Taking taylor expansion of 0 in lambda2 1.929 * [taylor]: Taking taylor expansion of 0 in lambda2 1.929 * [taylor]: Taking taylor expansion of 0 in phi2 1.929 * [taylor]: Taking taylor expansion of 0 in lambda1 1.929 * [taylor]: Taking taylor expansion of 0 in lambda2 1.929 * [taylor]: Taking taylor expansion of 0 in lambda1 1.929 * [taylor]: Taking taylor expansion of 0 in lambda2 1.929 * * * [progress]: simplifying candidates 1.931 * [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)) (* (sin lambda1) (sin lambda2)))))))) (log 1) (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 (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (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)))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (exp (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))))))) (log R)) (log (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (exp (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (* (* (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (* (* R R) R)) (* (cbrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (* (* (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (sqrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (sqrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (* (exp (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) (* (exp (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) (* (sqrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) (* (sqrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt R) (cbrt R))) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt R)) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) 1) (* (exp (log (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R) (* (exp (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (* (cbrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R) (* (sqrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (exp 1) (exp (* (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (exp (sqrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (exp 1) (exp (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)))))))))) (exp (log (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (exp (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (exp (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (exp (log 1)) (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (exp (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (* (cbrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (cbrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (* (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos 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))))) (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) (log (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) (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))))) 1.937 * * [simplify]: iteration 0 : 174 enodes (cost 1588 ) 1.940 * * [simplify]: iteration 1 : 395 enodes (cost 1344 ) 1.947 * * [simplify]: iteration 2 : 818 enodes (cost 1299 ) 1.956 * * [simplify]: iteration 3 : 1216 enodes (cost 1293 ) 1.973 * * [simplify]: iteration 4 : 2853 enodes (cost 1293 ) 2.083 * * [simplify]: iteration 5 : 5001 enodes (cost 1293 ) 2.088 * [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))))))) (pow (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 2) (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))))))) (* 2 (log (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)) (* (sin lambda1) (sin lambda2)))))))) 0 (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 (log (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)))))) (* (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (pow (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 3) (sqrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt (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))))))) (+ (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))))))) (log R)) (pow (exp R) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (pow (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 3) (* (cbrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* (exp (log (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 (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (sqrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (* (sqrt 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) (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)))))))) (* (* (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 (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 (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))))))) E (exp (* (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (exp (sqrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) E (pow (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 2) (cbrt (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))))))) 1 (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))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (pow (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 2) (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)))))) (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))))))) (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)))))) 2.089 * * * [progress]: adding candidates to table 2.419 * * [progress]: iteration 4 / 4 2.419 * * * [progress]: picking best candidate 2.536 * * * * [pick]: Picked # 2.536 * * * [progress]: localizing error 2.579 * * * [progress]: generating rewritten candidates 2.579 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 2.579 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1 2 1) 2.583 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2 1) 2.596 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1 2 2) 2.602 * * * [progress]: generating series expansions 2.602 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 2.603 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (/ (* (pow (cos lambda1) 3) (* (cos phi1) (* (cos phi2) (pow (cos lambda2) 3)))) (- (+ (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (cos lambda2) (* (sin lambda2) (sin lambda1)))))) (/ (* (pow (sin lambda1) 3) (* (cos phi1) (* (cos phi2) (pow (sin lambda2) 3)))) (- (+ (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (cos lambda2) (* (sin lambda2) (sin lambda1))))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.603 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (/ (* (pow (cos lambda1) 3) (* (cos phi1) (* (cos phi2) (pow (cos lambda2) 3)))) (- (+ (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (cos lambda2) (* (sin lambda2) (sin lambda1)))))) (/ (* (pow (sin lambda1) 3) (* (cos phi1) (* (cos phi2) (pow (sin lambda2) 3)))) (- (+ (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (cos lambda2) (* (sin lambda2) (sin lambda1))))))))) in lambda2 2.605 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (/ (* (pow (cos lambda1) 3) (* (cos phi1) (* (cos phi2) (pow (cos lambda2) 3)))) (- (+ (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (cos lambda2) (* (sin lambda2) (sin lambda1)))))) (/ (* (pow (sin lambda1) 3) (* (cos phi1) (* (cos phi2) (pow (sin lambda2) 3)))) (- (+ (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (cos lambda2) (* (sin lambda2) (sin lambda1))))))))) in lambda1 2.607 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (/ (* (pow (cos lambda1) 3) (* (cos phi1) (* (cos phi2) (pow (cos lambda2) 3)))) (- (+ (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (cos lambda2) (* (sin lambda2) (sin lambda1)))))) (/ (* (pow (sin lambda1) 3) (* (cos phi1) (* (cos phi2) (pow (sin lambda2) 3)))) (- (+ (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (cos lambda2) (* (sin lambda2) (sin lambda1))))))))) in phi2 2.609 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (/ (* (pow (cos lambda1) 3) (* (cos phi1) (* (cos phi2) (pow (cos lambda2) 3)))) (- (+ (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (cos lambda2) (* (sin lambda2) (sin lambda1)))))) (/ (* (pow (sin lambda1) 3) (* (cos phi1) (* (cos phi2) (pow (sin lambda2) 3)))) (- (+ (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (cos lambda2) (* (sin lambda2) (sin lambda1))))))))) in phi1 2.613 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (/ (* (pow (cos lambda1) 3) (* (cos phi1) (* (cos phi2) (pow (cos lambda2) 3)))) (- (+ (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (cos lambda2) (* (sin lambda2) (sin lambda1)))))) (/ (* (pow (sin lambda1) 3) (* (cos phi1) (* (cos phi2) (pow (sin lambda2) 3)))) (- (+ (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (cos lambda2) (* (sin lambda2) (sin lambda1))))))))) in phi1 2.615 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (/ (* (pow (cos lambda1) 3) (* (cos phi1) (* (cos phi2) (pow (cos lambda2) 3)))) (- (+ (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (cos lambda2) (* (sin lambda2) (sin lambda1)))))) (/ (* (pow (sin lambda1) 3) (* (cos phi1) (* (cos phi2) (pow (sin lambda2) 3)))) (- (+ (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (cos lambda2) (* (sin lambda2) (sin lambda1))))))))) in phi2 2.617 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (/ (* (pow (cos lambda1) 3) (* (cos phi1) (* (cos phi2) (pow (cos lambda2) 3)))) (- (+ (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (cos lambda2) (* (sin lambda2) (sin lambda1)))))) (/ (* (pow (sin lambda1) 3) (* (cos phi1) (* (cos phi2) (pow (sin lambda2) 3)))) (- (+ (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (cos lambda2) (* (sin lambda2) (sin lambda1))))))))) in lambda1 2.618 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (/ (* (pow (cos lambda1) 3) (* (cos phi1) (* (cos phi2) (pow (cos lambda2) 3)))) (- (+ (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (cos lambda2) (* (sin lambda2) (sin lambda1)))))) (/ (* (pow (sin lambda1) 3) (* (cos phi1) (* (cos phi2) (pow (sin lambda2) 3)))) (- (+ (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (cos lambda2) (* (sin lambda2) (sin lambda1))))))))) in lambda2 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 lambda1 2.622 * [taylor]: Taking taylor expansion of 0 in lambda2 2.622 * [taylor]: Taking taylor expansion of 0 in lambda2 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 lambda1 2.622 * [taylor]: Taking taylor expansion of 0 in lambda2 2.625 * [approximate]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (/ (* (pow (cos (/ 1 lambda2)) 3) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (pow (cos (/ 1 lambda1)) 3)))) (- (+ (* (pow (cos (/ 1 lambda2)) 2) (pow (cos (/ 1 lambda1)) 2)) (* (pow (sin (/ 1 lambda1)) 2) (pow (sin (/ 1 lambda2)) 2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))))) (/ (* (pow (sin (/ 1 lambda1)) 3) (* (pow (sin (/ 1 lambda2)) 3) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (- (+ (* (pow (cos (/ 1 lambda2)) 2) (pow (cos (/ 1 lambda1)) 2)) (* (pow (sin (/ 1 lambda1)) 2) (pow (sin (/ 1 lambda2)) 2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.626 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (/ (* (pow (cos (/ 1 lambda2)) 3) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (pow (cos (/ 1 lambda1)) 3)))) (- (+ (* (pow (cos (/ 1 lambda2)) 2) (pow (cos (/ 1 lambda1)) 2)) (* (pow (sin (/ 1 lambda1)) 2) (pow (sin (/ 1 lambda2)) 2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))))) (/ (* (pow (sin (/ 1 lambda1)) 3) (* (pow (sin (/ 1 lambda2)) 3) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (- (+ (* (pow (cos (/ 1 lambda2)) 2) (pow (cos (/ 1 lambda1)) 2)) (* (pow (sin (/ 1 lambda1)) 2) (pow (sin (/ 1 lambda2)) 2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))))))) in lambda2 2.628 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (/ (* (pow (cos (/ 1 lambda2)) 3) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (pow (cos (/ 1 lambda1)) 3)))) (- (+ (* (pow (cos (/ 1 lambda2)) 2) (pow (cos (/ 1 lambda1)) 2)) (* (pow (sin (/ 1 lambda1)) 2) (pow (sin (/ 1 lambda2)) 2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))))) (/ (* (pow (sin (/ 1 lambda1)) 3) (* (pow (sin (/ 1 lambda2)) 3) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (- (+ (* (pow (cos (/ 1 lambda2)) 2) (pow (cos (/ 1 lambda1)) 2)) (* (pow (sin (/ 1 lambda1)) 2) (pow (sin (/ 1 lambda2)) 2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))))))) in lambda1 2.630 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (/ (* (pow (cos (/ 1 lambda2)) 3) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (pow (cos (/ 1 lambda1)) 3)))) (- (+ (* (pow (cos (/ 1 lambda2)) 2) (pow (cos (/ 1 lambda1)) 2)) (* (pow (sin (/ 1 lambda1)) 2) (pow (sin (/ 1 lambda2)) 2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))))) (/ (* (pow (sin (/ 1 lambda1)) 3) (* (pow (sin (/ 1 lambda2)) 3) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (- (+ (* (pow (cos (/ 1 lambda2)) 2) (pow (cos (/ 1 lambda1)) 2)) (* (pow (sin (/ 1 lambda1)) 2) (pow (sin (/ 1 lambda2)) 2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))))))) in phi2 2.632 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (/ (* (pow (cos (/ 1 lambda2)) 3) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (pow (cos (/ 1 lambda1)) 3)))) (- (+ (* (pow (cos (/ 1 lambda2)) 2) (pow (cos (/ 1 lambda1)) 2)) (* (pow (sin (/ 1 lambda1)) 2) (pow (sin (/ 1 lambda2)) 2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))))) (/ (* (pow (sin (/ 1 lambda1)) 3) (* (pow (sin (/ 1 lambda2)) 3) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (- (+ (* (pow (cos (/ 1 lambda2)) 2) (pow (cos (/ 1 lambda1)) 2)) (* (pow (sin (/ 1 lambda1)) 2) (pow (sin (/ 1 lambda2)) 2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))))))) in phi1 2.634 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (/ (* (pow (cos (/ 1 lambda2)) 3) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (pow (cos (/ 1 lambda1)) 3)))) (- (+ (* (pow (cos (/ 1 lambda2)) 2) (pow (cos (/ 1 lambda1)) 2)) (* (pow (sin (/ 1 lambda1)) 2) (pow (sin (/ 1 lambda2)) 2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))))) (/ (* (pow (sin (/ 1 lambda1)) 3) (* (pow (sin (/ 1 lambda2)) 3) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (- (+ (* (pow (cos (/ 1 lambda2)) 2) (pow (cos (/ 1 lambda1)) 2)) (* (pow (sin (/ 1 lambda1)) 2) (pow (sin (/ 1 lambda2)) 2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))))))) in phi1 2.637 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (/ (* (pow (sin (/ 1 lambda1)) 3) (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 3) (cos (/ 1 phi1))))) (- (+ (* (pow (cos (/ 1 lambda2)) 2) (pow (cos (/ 1 lambda1)) 2)) (* (pow (sin (/ 1 lambda1)) 2) (pow (sin (/ 1 lambda2)) 2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))))) (/ (* (pow (cos (/ 1 lambda2)) 3) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (pow (cos (/ 1 lambda1)) 3)))) (- (+ (* (pow (cos (/ 1 lambda2)) 2) (pow (cos (/ 1 lambda1)) 2)) (* (pow (sin (/ 1 lambda1)) 2) (pow (sin (/ 1 lambda2)) 2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))))))) in phi2 2.639 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (/ (* (pow (cos (/ 1 lambda2)) 3) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (pow (cos (/ 1 lambda1)) 3)))) (- (+ (* (pow (cos (/ 1 lambda2)) 2) (pow (cos (/ 1 lambda1)) 2)) (* (pow (sin (/ 1 lambda1)) 2) (pow (sin (/ 1 lambda2)) 2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))))) (/ (* (pow (sin (/ 1 lambda1)) 3) (* (pow (sin (/ 1 lambda2)) 3) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (- (+ (* (pow (cos (/ 1 lambda2)) 2) (pow (cos (/ 1 lambda1)) 2)) (* (pow (sin (/ 1 lambda1)) 2) (pow (sin (/ 1 lambda2)) 2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))))))) in lambda1 2.641 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (/ (* (pow (sin (/ 1 lambda1)) 3) (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 3) (cos (/ 1 phi1))))) (- (+ (* (pow (cos (/ 1 lambda2)) 2) (pow (cos (/ 1 lambda1)) 2)) (* (pow (sin (/ 1 lambda1)) 2) (pow (sin (/ 1 lambda2)) 2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))))) (/ (* (pow (cos (/ 1 lambda2)) 3) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (pow (cos (/ 1 lambda1)) 3)))) (- (+ (* (pow (cos (/ 1 lambda2)) 2) (pow (cos (/ 1 lambda1)) 2)) (* (pow (sin (/ 1 lambda1)) 2) (pow (sin (/ 1 lambda2)) 2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))))))) in lambda2 2.646 * [taylor]: Taking taylor expansion of 0 in phi2 2.646 * [taylor]: Taking taylor expansion of 0 in lambda1 2.646 * [taylor]: Taking taylor expansion of 0 in lambda2 2.646 * [taylor]: Taking taylor expansion of 0 in lambda1 2.646 * [taylor]: Taking taylor expansion of 0 in lambda2 2.646 * [taylor]: Taking taylor expansion of 0 in lambda2 2.646 * [taylor]: Taking taylor expansion of 0 in phi2 2.646 * [taylor]: Taking taylor expansion of 0 in lambda1 2.646 * [taylor]: Taking taylor expansion of 0 in lambda2 2.646 * [taylor]: Taking taylor expansion of 0 in lambda1 2.646 * [taylor]: Taking taylor expansion of 0 in lambda2 2.650 * [approximate]: Taking taylor expansion of (acos (+ (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 3) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 3)))) (- (+ (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (sin (/ -1 lambda2))))))) (+ (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 3) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 3)))) (- (+ (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (sin (/ -1 lambda2))))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 2.650 * [taylor]: Taking taylor expansion of (acos (+ (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 3) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 3)))) (- (+ (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (sin (/ -1 lambda2))))))) (+ (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 3) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 3)))) (- (+ (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (sin (/ -1 lambda2))))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 2.653 * [taylor]: Taking taylor expansion of (acos (+ (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 3) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 3)))) (- (+ (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (sin (/ -1 lambda2))))))) (+ (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 3) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 3)))) (- (+ (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (sin (/ -1 lambda2))))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 2.655 * [taylor]: Taking taylor expansion of (acos (+ (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 3) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 3)))) (- (+ (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (sin (/ -1 lambda2))))))) (+ (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 3) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 3)))) (- (+ (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (sin (/ -1 lambda2))))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 2.657 * [taylor]: Taking taylor expansion of (acos (+ (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 3) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 3)))) (- (+ (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (sin (/ -1 lambda2))))))) (+ (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 3) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 3)))) (- (+ (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (sin (/ -1 lambda2))))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 2.659 * [taylor]: Taking taylor expansion of (acos (+ (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 3) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 3)))) (- (+ (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (sin (/ -1 lambda2))))))) (+ (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 3) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 3)))) (- (+ (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (sin (/ -1 lambda2))))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 2.661 * [taylor]: Taking taylor expansion of (acos (+ (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 3) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 3)))) (- (+ (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (sin (/ -1 lambda2))))))) (+ (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 3) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 3)))) (- (+ (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (sin (/ -1 lambda2))))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 2.663 * [taylor]: Taking taylor expansion of (acos (+ (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 3) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 3)))) (- (+ (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (sin (/ -1 lambda2))))))) (+ (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 3) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 3)))) (- (+ (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (sin (/ -1 lambda2))))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 2.665 * [taylor]: Taking taylor expansion of (acos (+ (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 3) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 3)))) (- (+ (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (sin (/ -1 lambda2))))))) (+ (/ (* (cos (/ -1 phi1)) (* (pow (sin (/ -1 lambda1)) 3) (* (cos (/ -1 phi2)) (pow (sin (/ -1 lambda2)) 3)))) (- (+ (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (sin (/ -1 lambda2))))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 2.670 * [taylor]: Taking taylor expansion of 0 in phi2 2.670 * [taylor]: Taking taylor expansion of 0 in lambda1 2.670 * [taylor]: Taking taylor expansion of 0 in lambda2 2.670 * [taylor]: Taking taylor expansion of 0 in lambda1 2.670 * [taylor]: Taking taylor expansion of 0 in lambda2 2.670 * [taylor]: Taking taylor expansion of 0 in lambda2 2.670 * [taylor]: Taking taylor expansion of 0 in phi2 2.670 * [taylor]: Taking taylor expansion of 0 in lambda1 2.670 * [taylor]: Taking taylor expansion of 0 in lambda2 2.670 * [taylor]: Taking taylor expansion of 0 in lambda1 2.670 * [taylor]: Taking taylor expansion of 0 in lambda2 2.673 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1 2 1) 2.673 * [approximate]: Taking taylor expansion of (pow (* (cos lambda1) (cos lambda2)) 3) in (lambda1 lambda2) around 0 2.673 * [taylor]: Taking taylor expansion of (pow (* (cos lambda1) (cos lambda2)) 3) in lambda2 2.673 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda2 2.673 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda2 2.673 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.673 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 2.673 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.674 * [taylor]: Taking taylor expansion of (pow (* (cos lambda1) (cos lambda2)) 3) in lambda1 2.674 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 2.674 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 2.674 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.674 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 2.674 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.675 * [taylor]: Taking taylor expansion of (pow (* (cos lambda1) (cos lambda2)) 3) in lambda1 2.675 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 2.675 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 2.675 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.675 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 2.675 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.675 * [taylor]: Taking taylor expansion of (pow (cos lambda2) 3) in lambda2 2.675 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 2.675 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.678 * [taylor]: Taking taylor expansion of 0 in lambda2 2.684 * [taylor]: Taking taylor expansion of (- (* 3/2 (pow (cos lambda2) 3))) in lambda2 2.684 * [taylor]: Taking taylor expansion of (* 3/2 (pow (cos lambda2) 3)) in lambda2 2.684 * [taylor]: Taking taylor expansion of 3/2 in lambda2 2.684 * [taylor]: Taking taylor expansion of (pow (cos lambda2) 3) in lambda2 2.684 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 2.684 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.687 * [approximate]: Taking taylor expansion of (pow (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) 3) in (lambda1 lambda2) around 0 2.687 * [taylor]: Taking taylor expansion of (pow (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) 3) in lambda2 2.687 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda2 2.687 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda2 2.687 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.687 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.688 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda2 2.688 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.688 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.688 * [taylor]: Taking taylor expansion of (pow (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) 3) in lambda1 2.688 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda1 2.688 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda1 2.688 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.688 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.688 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda1 2.688 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.688 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.689 * [taylor]: Taking taylor expansion of (pow (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) 3) in lambda1 2.689 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda1 2.689 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda1 2.689 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.689 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.689 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda1 2.689 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.689 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.690 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 1 lambda2)) 3) (pow (cos (/ 1 lambda1)) 3)) in lambda2 2.691 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 lambda2)) 3) in lambda2 2.691 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda2 2.691 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.691 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.691 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 lambda1)) 3) in lambda2 2.691 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda2 2.691 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.691 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.694 * [taylor]: Taking taylor expansion of 0 in lambda2 2.703 * [taylor]: Taking taylor expansion of 0 in lambda2 2.712 * [taylor]: Taking taylor expansion of 0 in lambda2 2.713 * [approximate]: Taking taylor expansion of (pow (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) 3) in (lambda1 lambda2) around 0 2.713 * [taylor]: Taking taylor expansion of (pow (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) 3) in lambda2 2.713 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda2 2.713 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda2 2.713 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.713 * [taylor]: Taking taylor expansion of -1 in lambda2 2.713 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.713 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda2 2.713 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 2.713 * [taylor]: Taking taylor expansion of -1 in lambda2 2.713 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.714 * [taylor]: Taking taylor expansion of (pow (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) 3) in lambda1 2.714 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda1 2.714 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda1 2.714 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.714 * [taylor]: Taking taylor expansion of -1 in lambda1 2.714 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.714 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda1 2.714 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 2.714 * [taylor]: Taking taylor expansion of -1 in lambda1 2.714 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.715 * [taylor]: Taking taylor expansion of (pow (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) 3) in lambda1 2.715 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda1 2.715 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda1 2.715 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.715 * [taylor]: Taking taylor expansion of -1 in lambda1 2.715 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.715 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda1 2.715 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 2.715 * [taylor]: Taking taylor expansion of -1 in lambda1 2.715 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.716 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1 lambda1)) 3) (pow (cos (/ -1 lambda2)) 3)) in lambda2 2.716 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 lambda1)) 3) in lambda2 2.716 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda2 2.716 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.716 * [taylor]: Taking taylor expansion of -1 in lambda2 2.716 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.717 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 lambda2)) 3) in lambda2 2.717 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda2 2.717 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 2.717 * [taylor]: Taking taylor expansion of -1 in lambda2 2.717 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.720 * [taylor]: Taking taylor expansion of 0 in lambda2 2.726 * [taylor]: Taking taylor expansion of 0 in lambda2 2.735 * [taylor]: Taking taylor expansion of 0 in lambda2 2.735 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2 1) 2.735 * [approximate]: Taking taylor expansion of (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)) in (lambda1 lambda2) around 0 2.735 * [taylor]: Taking taylor expansion of (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)) in lambda2 2.735 * [taylor]: Taking taylor expansion of (pow (cos lambda1) 2) in lambda2 2.735 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda2 2.735 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.736 * [taylor]: Taking taylor expansion of (pow (cos lambda2) 2) in lambda2 2.736 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 2.736 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.736 * [taylor]: Taking taylor expansion of (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)) in lambda1 2.736 * [taylor]: Taking taylor expansion of (pow (cos lambda1) 2) in lambda1 2.736 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 2.736 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.736 * [taylor]: Taking taylor expansion of (pow (cos lambda2) 2) in lambda1 2.736 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 2.736 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.736 * [taylor]: Taking taylor expansion of (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)) in lambda1 2.736 * [taylor]: Taking taylor expansion of (pow (cos lambda1) 2) in lambda1 2.736 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 2.736 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.736 * [taylor]: Taking taylor expansion of (pow (cos lambda2) 2) in lambda1 2.736 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 2.736 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.737 * [taylor]: Taking taylor expansion of (pow (cos lambda2) 2) in lambda2 2.738 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 2.738 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.740 * [taylor]: Taking taylor expansion of 0 in lambda2 2.745 * [taylor]: Taking taylor expansion of (- (pow (cos lambda2) 2)) in lambda2 2.745 * [taylor]: Taking taylor expansion of (pow (cos lambda2) 2) in lambda2 2.745 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 2.745 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.747 * [approximate]: Taking taylor expansion of (* (pow (cos (/ 1 lambda2)) 2) (pow (cos (/ 1 lambda1)) 2)) in (lambda1 lambda2) around 0 2.747 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 1 lambda2)) 2) (pow (cos (/ 1 lambda1)) 2)) in lambda2 2.747 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 lambda2)) 2) in lambda2 2.747 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda2 2.747 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.747 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.748 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 lambda1)) 2) in lambda2 2.748 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda2 2.748 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.748 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.748 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 1 lambda2)) 2) (pow (cos (/ 1 lambda1)) 2)) in lambda1 2.748 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 lambda2)) 2) in lambda1 2.748 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda1 2.748 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.748 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.749 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 lambda1)) 2) in lambda1 2.749 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda1 2.749 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.749 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.749 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 1 lambda2)) 2) (pow (cos (/ 1 lambda1)) 2)) in lambda1 2.749 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 lambda2)) 2) in lambda1 2.749 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda1 2.749 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.749 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.750 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 lambda1)) 2) in lambda1 2.750 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda1 2.750 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.750 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.750 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 1 lambda2)) 2) (pow (cos (/ 1 lambda1)) 2)) in lambda2 2.750 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 lambda2)) 2) in lambda2 2.750 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda2 2.750 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.750 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.751 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 lambda1)) 2) in lambda2 2.751 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda2 2.751 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.751 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.754 * [taylor]: Taking taylor expansion of 0 in lambda2 2.759 * [taylor]: Taking taylor expansion of 0 in lambda2 2.767 * [taylor]: Taking taylor expansion of 0 in lambda2 2.768 * [approximate]: Taking taylor expansion of (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) in (lambda1 lambda2) around 0 2.768 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) in lambda2 2.768 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 lambda1)) 2) in lambda2 2.768 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda2 2.768 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.768 * [taylor]: Taking taylor expansion of -1 in lambda2 2.768 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.768 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 lambda2)) 2) in lambda2 2.768 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda2 2.768 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 2.768 * [taylor]: Taking taylor expansion of -1 in lambda2 2.768 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.769 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) in lambda1 2.769 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 lambda1)) 2) in lambda1 2.769 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda1 2.769 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.769 * [taylor]: Taking taylor expansion of -1 in lambda1 2.769 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.769 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 lambda2)) 2) in lambda1 2.769 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda1 2.769 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 2.769 * [taylor]: Taking taylor expansion of -1 in lambda1 2.769 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.770 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) in lambda1 2.770 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 lambda1)) 2) in lambda1 2.770 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda1 2.770 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.770 * [taylor]: Taking taylor expansion of -1 in lambda1 2.770 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.770 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 lambda2)) 2) in lambda1 2.770 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda1 2.770 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 2.770 * [taylor]: Taking taylor expansion of -1 in lambda1 2.770 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.771 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) in lambda2 2.771 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 lambda1)) 2) in lambda2 2.771 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda2 2.771 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.771 * [taylor]: Taking taylor expansion of -1 in lambda2 2.771 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.772 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 lambda2)) 2) in lambda2 2.772 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda2 2.772 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 2.772 * [taylor]: Taking taylor expansion of -1 in lambda2 2.772 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.775 * [taylor]: Taking taylor expansion of 0 in lambda2 2.780 * [taylor]: Taking taylor expansion of 0 in lambda2 2.788 * [taylor]: Taking taylor expansion of 0 in lambda2 2.789 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1 2 2) 2.789 * [approximate]: Taking taylor expansion of (pow (* (sin lambda1) (sin lambda2)) 3) in (lambda1 lambda2) around 0 2.789 * [taylor]: Taking taylor expansion of (pow (* (sin lambda1) (sin lambda2)) 3) in lambda2 2.789 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 2.789 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 2.789 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.789 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 2.789 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.796 * [taylor]: Taking taylor expansion of (pow (* (sin lambda1) (sin lambda2)) 3) in lambda1 2.796 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 2.796 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.796 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.796 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 2.796 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.799 * [taylor]: Taking taylor expansion of (pow (* (sin lambda1) (sin lambda2)) 3) in lambda1 2.799 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 2.799 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.799 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.799 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 2.799 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.801 * [taylor]: Taking taylor expansion of (pow (sin lambda2) 3) in lambda2 2.801 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 2.801 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.805 * [taylor]: Taking taylor expansion of 0 in lambda2 2.811 * [taylor]: Taking taylor expansion of (- (* 1/2 (pow (sin lambda2) 3))) in lambda2 2.812 * [taylor]: Taking taylor expansion of (* 1/2 (pow (sin lambda2) 3)) in lambda2 2.812 * [taylor]: Taking taylor expansion of 1/2 in lambda2 2.812 * [taylor]: Taking taylor expansion of (pow (sin lambda2) 3) in lambda2 2.812 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 2.812 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.816 * [approximate]: Taking taylor expansion of (pow (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 3) in (lambda1 lambda2) around 0 2.816 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 3) in lambda2 2.816 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 2.816 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 2.816 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.816 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.816 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 2.816 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.816 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.816 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 3) in lambda1 2.816 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 2.816 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 2.816 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.816 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.817 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 2.817 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.817 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.817 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 3) in lambda1 2.817 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 2.817 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 2.817 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.817 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.817 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 2.817 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.817 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.818 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 lambda1)) 3) (pow (sin (/ 1 lambda2)) 3)) in lambda2 2.818 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda1)) 3) in lambda2 2.818 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 2.818 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.818 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.818 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 3) in lambda2 2.818 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 2.818 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.818 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.821 * [taylor]: Taking taylor expansion of 0 in lambda2 2.827 * [taylor]: Taking taylor expansion of 0 in lambda2 2.835 * [taylor]: Taking taylor expansion of 0 in lambda2 2.836 * [approximate]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 3) in (lambda1 lambda2) around 0 2.836 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 3) in lambda2 2.836 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 2.836 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 2.836 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.836 * [taylor]: Taking taylor expansion of -1 in lambda2 2.836 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.836 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 2.836 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 2.836 * [taylor]: Taking taylor expansion of -1 in lambda2 2.836 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.837 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 3) in lambda1 2.837 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 2.837 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 2.837 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.837 * [taylor]: Taking taylor expansion of -1 in lambda1 2.837 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.837 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 2.837 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 2.837 * [taylor]: Taking taylor expansion of -1 in lambda1 2.837 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.837 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 3) in lambda1 2.837 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 2.837 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 2.837 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.837 * [taylor]: Taking taylor expansion of -1 in lambda1 2.838 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.838 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 2.838 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 2.838 * [taylor]: Taking taylor expansion of -1 in lambda1 2.838 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.839 * [taylor]: Taking taylor expansion of (* (pow (sin (/ -1 lambda1)) 3) (pow (sin (/ -1 lambda2)) 3)) in lambda2 2.839 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda1)) 3) in lambda2 2.839 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 2.839 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.839 * [taylor]: Taking taylor expansion of -1 in lambda2 2.839 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.839 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 3) in lambda2 2.839 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 2.839 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 2.839 * [taylor]: Taking taylor expansion of -1 in lambda2 2.839 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.842 * [taylor]: Taking taylor expansion of 0 in lambda2 2.848 * [taylor]: Taking taylor expansion of 0 in lambda2 2.857 * [taylor]: Taking taylor expansion of 0 in lambda2 2.857 * * * [progress]: simplifying candidates 2.858 * [simplify]: Simplifying using # : (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (- (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (- (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (- (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (- (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (- (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (- (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (- (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (- (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (- (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (- (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (- (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (* (+ (log (cos lambda1)) (log (cos lambda2))) 3) (* (log (* (cos lambda1) (cos lambda2))) 3) (* (log (* (cos lambda1) (cos lambda2))) 3) (* 1 3) (* 1 3) (pow (* (cos lambda1) (cos lambda2)) (* (cbrt 3) (cbrt 3))) (pow (* (cos lambda1) (cos lambda2)) (sqrt 3)) (pow (* (cos lambda1) (cos lambda2)) 1) (pow (cos lambda1) 3) (pow (cos lambda2) 3) (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (log (pow (* (cos lambda1) (cos lambda2)) 3)) (exp (pow (* (cos lambda1) (cos lambda2)) 3)) (* (cbrt (pow (* (cos lambda1) (cos lambda2)) 3)) (cbrt (pow (* (cos lambda1) (cos lambda2)) 3))) (cbrt (pow (* (cos lambda1) (cos lambda2)) 3)) (* (* (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (cos lambda1) (cos lambda2)) 3)) (pow (* (cos lambda1) (cos lambda2)) 3)) (pow (cos lambda1) 3) (pow (cos lambda2) 3) (pow (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) 3) (pow 2 3) (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (sqrt (pow (* (cos lambda1) (cos lambda2)) 3)) (sqrt (pow (* (cos lambda1) (cos lambda2)) 3)) (pow (* (cos lambda1) (cos lambda2)) (/ 3 2)) (pow (* (cos lambda1) (cos lambda2)) (/ 3 2)) (+ 1 1) (+ 1 1) (+ 1 1) (+ 1 1) (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (+ 1 1) (+ 1 1) (+ (+ (log (cos lambda1)) (log (cos lambda2))) (+ (log (cos lambda1)) (log (cos lambda2)))) (+ (+ (log (cos lambda1)) (log (cos lambda2))) (log (* (cos lambda1) (cos lambda2)))) (+ (log (* (cos lambda1) (cos lambda2))) (+ (log (cos lambda1)) (log (cos lambda2)))) (+ (log (* (cos lambda1) (cos lambda2))) (log (* (cos lambda1) (cos lambda2)))) (log (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2)))) (exp (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2)))) (* (* (* (* (cos lambda1) (cos lambda1)) (cos lambda1)) (* (* (cos lambda2) (cos lambda2)) (cos lambda2))) (* (* (* (cos lambda1) (cos lambda1)) (cos lambda1)) (* (* (cos lambda2) (cos lambda2)) (cos lambda2)))) (* (* (* (* (cos lambda1) (cos lambda1)) (cos lambda1)) (* (* (cos lambda2) (cos lambda2)) (cos lambda2))) (* (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (cos lambda1) (cos lambda2)))) (* (* (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (cos lambda1) (cos lambda2))) (* (* (* (cos lambda1) (cos lambda1)) (cos lambda1)) (* (* (cos lambda2) (cos lambda2)) (cos lambda2)))) (* (* (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (cos lambda1) (cos lambda2))) (* (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (cos lambda1) (cos lambda2)))) (* (cbrt (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2)))) (cbrt (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))))) (cbrt (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2)))) (* (* (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2)))) (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2)))) (sqrt (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2)))) (sqrt (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2)))) (* (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2)))) (* 2 2) (* (cos lambda1) (cos lambda1)) (* (cos lambda2) (cos lambda2)) (* 2 1) (* 2 1) (* 2 1) (* 2 1) (* (* (cos lambda1) (cos lambda2)) (cos lambda1)) (* (cos lambda2) (* (cos lambda1) (cos lambda2))) (* (* (cos lambda1) (cos lambda2)) (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2)))) (* (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) (* (cos lambda1) (cos lambda2))) (* (+ (log (sin lambda1)) (log (sin lambda2))) 3) (* (log (* (sin lambda1) (sin lambda2))) 3) (* (log (* (sin lambda1) (sin lambda2))) 3) (* 1 3) (* 1 3) (pow (* (sin lambda1) (sin lambda2)) (* (cbrt 3) (cbrt 3))) (pow (* (sin lambda1) (sin lambda2)) (sqrt 3)) (pow (* (sin lambda1) (sin lambda2)) 1) (pow (sin lambda1) 3) (pow (sin lambda2) 3) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (log (pow (* (sin lambda1) (sin lambda2)) 3)) (exp (pow (* (sin lambda1) (sin lambda2)) 3)) (* (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)) (* (* (pow (* (sin lambda1) (sin lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3)) (pow (* (sin lambda1) (sin lambda2)) 3)) (pow (sin lambda1) 3) (pow (sin lambda2) 3) (pow (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) 3) (pow 2 3) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (sqrt (pow (* (sin lambda1) (sin lambda2)) 3)) (sqrt (pow (* (sin lambda1) (sin lambda2)) 3)) (pow (* (sin lambda1) (sin lambda2)) (/ 3 2)) (pow (* (sin lambda1) (sin lambda2)) (/ 3 2)) (acos (+ (* (sin phi1) (sin phi2)) (+ (/ (* (pow (cos lambda1) 3) (* (cos phi1) (* (cos phi2) (pow (cos lambda2) 3)))) (- (+ (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (cos lambda2) (* (sin lambda2) (sin lambda1)))))) (/ (* (pow (sin lambda1) 3) (* (cos phi1) (* (cos phi2) (pow (sin lambda2) 3)))) (- (+ (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (cos lambda2) (* (sin lambda2) (sin lambda1))))))))) (acos (+ (/ (* (pow (sin lambda1) 3) (* (cos phi1) (* (cos phi2) (pow (sin lambda2) 3)))) (- (+ (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (sin lambda1) (* (cos lambda2) (* (sin lambda2) (cos lambda1)))))) (+ (/ (* (pow (cos lambda1) 3) (* (cos phi1) (* (cos phi2) (pow (cos lambda2) 3)))) (- (+ (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (sin lambda1) (* (cos lambda2) (* (sin lambda2) (cos lambda1)))))) (* (sin phi1) (sin phi2))))) (acos (+ (/ (* (pow (cos lambda1) 3) (* (cos phi1) (* (cos phi2) (pow (cos lambda2) 3)))) (- (+ (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (sin lambda1) (* (cos lambda2) (* (sin lambda2) (cos lambda1)))))) (+ (/ (* (pow (sin lambda1) 3) (* (cos phi1) (* (cos phi2) (pow (sin lambda2) 3)))) (- (+ (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (sin lambda1) (* (cos lambda2) (* (sin lambda2) (cos lambda1)))))) (* (sin phi1) (sin phi2))))) (- 1 (+ (* 3/2 (pow lambda1 2)) (* 3/2 (pow lambda2 2)))) (* (pow (cos lambda1) 3) (pow (cos lambda2) 3)) (* (pow (cos lambda1) 3) (pow (cos lambda2) 3)) (- 1 (+ (pow lambda1 2) (pow lambda2 2))) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2)) (- (* (pow lambda2 3) (pow lambda1 3)) (+ (* 1/2 (* (pow lambda2 5) (pow lambda1 3))) (* 1/2 (* (pow lambda2 3) (pow lambda1 5))))) (* (pow (sin lambda1) 3) (pow (sin lambda2) 3)) (* (pow (sin lambda1) 3) (pow (sin lambda2) 3)) 2.865 * * [simplify]: iteration 0 : 476 enodes (cost 1061 ) 2.876 * * [simplify]: iteration 1 : 2205 enodes (cost 951 ) 2.927 * * [simplify]: iteration 2 : 5001 enodes (cost 951 ) 2.931 * [simplify]: Simplified to: (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (- (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (- (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (- (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (- (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (- (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (- (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (- (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (- (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (- (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (pow (* (cos lambda1) (cos lambda2)) 3)) (log (pow (* (cos lambda1) (cos lambda2)) 3)) (log (pow (* (cos lambda1) (cos lambda2)) 3)) 3 3 (pow (* (cos lambda1) (cos lambda2)) (* (cbrt 3) (cbrt 3))) (pow (* (cos lambda1) (cos lambda2)) (sqrt 3)) (* (cos lambda1) (cos lambda2)) (pow (cos lambda1) 3) (pow (cos lambda2) 3) (pow (* (cos lambda1) (cos lambda2)) 2) (log (pow (* (cos lambda1) (cos lambda2)) 3)) (exp (pow (* (cos lambda1) (cos lambda2)) 3)) (pow (* (cos lambda1) (cos lambda2)) 2) (* (cos lambda1) (cos lambda2)) (pow (pow (* (cos lambda1) (cos lambda2)) 3) 3) (pow (cos lambda1) 3) (pow (cos lambda2) 3) (pow (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) 3) 8 (pow (* (cos lambda1) (cos lambda2)) 2) (sqrt (pow (* (cos lambda1) (cos lambda2)) 3)) (sqrt (pow (* (cos lambda1) (cos lambda2)) 3)) (pow (* (cos lambda1) (cos lambda2)) 3/2) (pow (* (cos lambda1) (cos lambda2)) 3/2) 2 2 2 2 (pow (* (cos lambda1) (cos lambda2)) 2) (pow (* (cos lambda1) (cos lambda2)) 2) (pow (* (cos lambda1) (cos lambda2)) 2) (pow (* (cos lambda1) (cos lambda2)) 2) 2 2 (* 2 (log (* (cos lambda1) (cos lambda2)))) (* 2 (log (* (cos lambda1) (cos lambda2)))) (* 2 (log (* (cos lambda1) (cos lambda2)))) (* 2 (log (* (cos lambda1) (cos lambda2)))) (* 2 (log (* (cos lambda1) (cos lambda2)))) (pow (exp (pow (cos lambda1) 2)) (pow (cos lambda2) 2)) (pow (* (cos lambda1) (cos lambda2)) 6) (pow (* (cos lambda1) (cos lambda2)) 6) (pow (* (cos lambda1) (cos lambda2)) 6) (pow (* (cos lambda1) (cos lambda2)) 6) (* (cbrt (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2)))) (cbrt (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))))) (cbrt (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2)))) (pow (* (cos lambda1) (cos lambda2)) 6) (fabs (* (cos lambda1) (cos lambda2))) (fabs (* (cos lambda1) (cos lambda2))) (* (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2)))) 4 (pow (cos lambda1) 2) (pow (cos lambda2) 2) 2 2 2 2 (* (pow (cos lambda1) 2) (cos lambda2)) (* (pow (cos lambda2) 2) (cos lambda1)) (* (* (cos lambda1) (cos lambda2)) (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2)))) (* (* (cos lambda1) (cos lambda2)) (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2)))) (log (pow (* (sin lambda1) (sin lambda2)) 3)) (log (pow (* (sin lambda1) (sin lambda2)) 3)) (log (pow (* (sin lambda1) (sin lambda2)) 3)) 3 3 (pow (* (sin lambda1) (sin lambda2)) (* (cbrt 3) (cbrt 3))) (pow (* (sin lambda1) (sin lambda2)) (sqrt 3)) (* (sin lambda1) (sin lambda2)) (pow (sin lambda1) 3) (pow (sin lambda2) 3) (pow (* (sin lambda1) (sin lambda2)) 2) (log (pow (* (sin lambda1) (sin lambda2)) 3)) (exp (pow (* (sin lambda1) (sin lambda2)) 3)) (pow (* (sin lambda1) (sin lambda2)) 2) (* (sin lambda1) (sin lambda2)) (pow (pow (* (sin lambda1) (sin lambda2)) 3) 3) (pow (sin lambda1) 3) (pow (sin lambda2) 3) (pow (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) 3) 8 (pow (* (sin lambda1) (sin lambda2)) 2) (sqrt (pow (* (sin lambda1) (sin lambda2)) 3)) (sqrt (pow (* (sin lambda1) (sin lambda2)) 3)) (pow (* (sin lambda1) (sin lambda2)) 3/2) (pow (* (sin lambda1) (sin lambda2)) 3/2) (acos (+ (/ (* (pow (cos lambda1) 3) (* (cos phi1) (* (cos phi2) (pow (cos lambda2) 3)))) (- (+ (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (sin lambda1) (* (cos lambda2) (* (sin lambda2) (cos lambda1)))))) (+ (/ (* (pow (sin lambda1) 3) (* (cos phi1) (* (cos phi2) (pow (sin lambda2) 3)))) (- (+ (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (sin lambda1) (* (cos lambda2) (* (sin lambda2) (cos lambda1)))))) (* (sin phi1) (sin phi2))))) (acos (+ (/ (* (pow (cos lambda1) 3) (* (cos phi1) (* (cos phi2) (pow (cos lambda2) 3)))) (- (+ (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (sin lambda1) (* (cos lambda2) (* (sin lambda2) (cos lambda1)))))) (+ (/ (* (pow (sin lambda1) 3) (* (cos phi1) (* (cos phi2) (pow (sin lambda2) 3)))) (- (+ (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (sin lambda1) (* (cos lambda2) (* (sin lambda2) (cos lambda1)))))) (* (sin phi1) (sin phi2))))) (acos (+ (/ (* (pow (cos lambda1) 3) (* (cos phi1) (* (cos phi2) (pow (cos lambda2) 3)))) (- (+ (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (sin lambda1) (* (cos lambda2) (* (sin lambda2) (cos lambda1)))))) (+ (/ (* (pow (sin lambda1) 3) (* (cos phi1) (* (cos phi2) (pow (sin lambda2) 3)))) (- (+ (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (sin lambda1) (* (cos lambda2) (* (sin lambda2) (cos lambda1)))))) (* (sin phi1) (sin phi2))))) (- 1 (+ (* 3/2 (pow lambda1 2)) (* 3/2 (pow lambda2 2)))) (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (cos lambda1) (cos lambda2)) 3) (- 1 (+ (pow lambda1 2) (pow lambda2 2))) (pow (* (cos lambda1) (cos lambda2)) 2) (pow (* (cos lambda1) (cos lambda2)) 2) (+ (* (pow lambda1 3) (- (pow lambda2 3) (* 1/2 (pow lambda2 5)))) (- (* 1/2 (* (pow lambda2 3) (pow lambda1 5))))) (pow (* (sin lambda1) (sin lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3) 2.931 * * * [progress]: adding candidates to table 3.451 * [progress]: [Phase 3 of 3] Extracting. 3.451 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # # # #) 3.474 * * * [regime-changes]: Trying 10 branch expressions: ((- lambda1 lambda2) (cos (- lambda1 lambda2)) (+ (* (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) phi2 phi1 lambda2 lambda1 R) 3.474 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (# # # # # # # # # # # # # # # # # # #) 3.615 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (# # # # # # # # # # # # # # # # # # #) 3.758 * * * * [regimes]: Trying to branch on (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) from (# # # # # # # # # # # # # # # # # # #) 3.917 * * * * [regimes]: Trying to branch on (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) from (# # # # # # # # # # # # # # # # # # #) 4.078 * * * * [regimes]: Trying to branch on (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) from (# # # # # # # # # # # # # # # # # # #) 4.240 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # # # # # # # # # # # #) 4.379 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # # # # # # # # # # # #) 4.515 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # # # # # # # # # # # # #) 4.652 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # # # # # # # # # # # #) 4.787 * * * * [regimes]: Trying to branch on R from (# # # # # # # # # # # # # # # # # # #) 4.925 * * * [regime]: Found split indices: #