9.010 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.260 * * * [progress]: [2/2] Setting up program. 0.264 * [progress]: [Phase 2 of 3] Improving. 0.264 * [simplify]: Simplifying using # : (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.266 * * [simplify]: iteration 0 : 26 enodes (cost 12 ) 0.268 * * [simplify]: iteration 1 : 34 enodes (cost 12 ) 0.269 * * [simplify]: iteration 2 : 36 enodes (cost 12 ) 0.270 * * [simplify]: iteration 3 : 36 enodes (cost 12 ) 0.270 * [simplify]: Simplified to: (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.271 * * [progress]: iteration 1 / 4 0.271 * * * [progress]: picking best candidate 0.274 * * * * [pick]: Picked # 0.274 * * * [progress]: localizing error 0.299 * * * [progress]: generating rewritten candidates 0.299 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 0.303 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.304 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.307 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 0.317 * * * [progress]: generating series expansions 0.317 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 0.318 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 0.318 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 0.318 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 0.318 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.318 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.318 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.318 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.318 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.318 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.318 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.318 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.319 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.319 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.325 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.325 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.325 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.327 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 0.327 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 0.327 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.327 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.331 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 0.331 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 0.331 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.331 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.331 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.331 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.334 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 0.334 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.334 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.334 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.334 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.334 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.334 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.335 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.335 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.335 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.335 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.335 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.335 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.335 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.335 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.335 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.335 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.336 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.336 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.336 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.336 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.336 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.336 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.336 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.336 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.337 * [taylor]: Taking taylor expansion of 0 in lambda2 0.337 * [taylor]: Taking taylor expansion of 0 in lambda2 0.337 * [taylor]: Taking taylor expansion of 0 in lambda2 0.337 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 0.337 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.337 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.337 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.337 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.338 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.338 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.338 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.338 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.338 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.338 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.338 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.338 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.339 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.339 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.339 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.339 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.339 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.339 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.340 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.340 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.340 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.340 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.340 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.340 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.341 * [taylor]: Taking taylor expansion of 0 in lambda2 0.341 * [taylor]: Taking taylor expansion of 0 in lambda2 0.341 * [taylor]: Taking taylor expansion of 0 in lambda2 0.341 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.341 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.341 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.341 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.342 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.342 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.342 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.342 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.342 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.343 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.343 * [taylor]: Taking taylor expansion of 0 in phi2 0.343 * [taylor]: Taking taylor expansion of 0 in lambda1 0.343 * [taylor]: Taking taylor expansion of 0 in lambda2 0.343 * [taylor]: Taking taylor expansion of 0 in lambda1 0.343 * [taylor]: Taking taylor expansion of 0 in lambda2 0.343 * [taylor]: Taking taylor expansion of 0 in lambda2 0.343 * [taylor]: Taking taylor expansion of 0 in phi2 0.343 * [taylor]: Taking taylor expansion of 0 in lambda1 0.343 * [taylor]: Taking taylor expansion of 0 in lambda2 0.343 * [taylor]: Taking taylor expansion of 0 in lambda1 0.343 * [taylor]: Taking taylor expansion of 0 in lambda2 0.344 * [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 0.344 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2 0.344 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1 0.344 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2 0.344 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1 0.345 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1 0.345 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2 0.345 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1 0.346 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in 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 * [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 0.347 * [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 0.347 * [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 0.347 * [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 0.348 * [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 0.348 * [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 0.348 * [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 0.348 * [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 0.349 * [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 0.349 * [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 0.349 * [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 lambda1 0.350 * [taylor]: Taking taylor expansion of 0 in lambda2 0.350 * [taylor]: Taking taylor expansion of 0 in lambda2 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 lambda1 0.350 * [taylor]: Taking taylor expansion of 0 in lambda2 0.350 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.350 * [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 0.350 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.350 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.351 * [taylor]: Taking taylor expansion of R in R 0.351 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.351 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.351 * [taylor]: Taking taylor expansion of R in lambda2 0.351 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.351 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.351 * [taylor]: Taking taylor expansion of R in lambda1 0.351 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.351 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.351 * [taylor]: Taking taylor expansion of R in phi2 0.351 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.351 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.351 * [taylor]: Taking taylor expansion of R in phi1 0.352 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.352 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.352 * [taylor]: Taking taylor expansion of R in phi1 0.352 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.352 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.352 * [taylor]: Taking taylor expansion of R in phi2 0.352 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.352 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.353 * [taylor]: Taking taylor expansion of R in lambda1 0.353 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.353 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.353 * [taylor]: Taking taylor expansion of R in lambda2 0.353 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.353 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.353 * [taylor]: Taking taylor expansion of R in R 0.354 * [taylor]: Taking taylor expansion of 0 in phi2 0.354 * [taylor]: Taking taylor expansion of 0 in lambda1 0.354 * [taylor]: Taking taylor expansion of 0 in lambda2 0.354 * [taylor]: Taking taylor expansion of 0 in R 0.354 * [taylor]: Taking taylor expansion of 0 in lambda1 0.354 * [taylor]: Taking taylor expansion of 0 in lambda2 0.354 * [taylor]: Taking taylor expansion of 0 in R 0.354 * [taylor]: Taking taylor expansion of 0 in lambda2 0.354 * [taylor]: Taking taylor expansion of 0 in R 0.355 * [taylor]: Taking taylor expansion of 0 in R 0.356 * [taylor]: Taking taylor expansion of 0 in phi2 0.356 * [taylor]: Taking taylor expansion of 0 in lambda1 0.356 * [taylor]: Taking taylor expansion of 0 in lambda2 0.356 * [taylor]: Taking taylor expansion of 0 in R 0.356 * [taylor]: Taking taylor expansion of 0 in lambda1 0.356 * [taylor]: Taking taylor expansion of 0 in lambda2 0.356 * [taylor]: Taking taylor expansion of 0 in R 0.357 * [taylor]: Taking taylor expansion of 0 in lambda1 0.357 * [taylor]: Taking taylor expansion of 0 in lambda2 0.357 * [taylor]: Taking taylor expansion of 0 in R 0.357 * [taylor]: Taking taylor expansion of 0 in lambda2 0.357 * [taylor]: Taking taylor expansion of 0 in R 0.357 * [taylor]: Taking taylor expansion of 0 in lambda2 0.357 * [taylor]: Taking taylor expansion of 0 in R 0.357 * [taylor]: Taking taylor expansion of 0 in lambda2 0.357 * [taylor]: Taking taylor expansion of 0 in R 0.358 * [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 0.358 * [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 R 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 R 0.359 * [taylor]: Taking taylor expansion of R in R 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 0.359 * [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 0.360 * [taylor]: Taking taylor expansion of R in lambda1 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 phi2 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 phi2 0.360 * [taylor]: Taking taylor expansion of R in phi2 0.361 * [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 0.361 * [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 0.361 * [taylor]: Taking taylor expansion of R in phi1 0.361 * [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 0.361 * [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 0.361 * [taylor]: Taking taylor expansion of R in phi1 0.362 * [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 0.362 * [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 0.362 * [taylor]: Taking taylor expansion of R in phi2 0.362 * [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 0.362 * [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 0.363 * [taylor]: Taking taylor expansion of R in lambda1 0.363 * [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 0.363 * [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 0.363 * [taylor]: Taking taylor expansion of R in lambda2 0.364 * [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 0.364 * [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 0.364 * [taylor]: Taking taylor expansion of R in R 0.365 * [taylor]: Taking taylor expansion of 0 in phi2 0.365 * [taylor]: Taking taylor expansion of 0 in lambda1 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 lambda1 0.365 * [taylor]: Taking taylor expansion of 0 in lambda2 0.365 * [taylor]: Taking taylor expansion of 0 in R 0.366 * [taylor]: Taking taylor expansion of 0 in lambda2 0.366 * [taylor]: Taking taylor expansion of 0 in R 0.366 * [taylor]: Taking taylor expansion of 0 in R 0.367 * [taylor]: Taking taylor expansion of 0 in phi2 0.367 * [taylor]: Taking taylor expansion of 0 in lambda1 0.367 * [taylor]: Taking taylor expansion of 0 in lambda2 0.367 * [taylor]: Taking taylor expansion of 0 in R 0.367 * [taylor]: Taking taylor expansion of 0 in lambda1 0.368 * [taylor]: Taking taylor expansion of 0 in lambda2 0.368 * [taylor]: Taking taylor expansion of 0 in R 0.368 * [taylor]: Taking taylor expansion of 0 in lambda1 0.368 * [taylor]: Taking taylor expansion of 0 in lambda2 0.368 * [taylor]: Taking taylor expansion of 0 in R 0.368 * [taylor]: Taking taylor expansion of 0 in lambda2 0.368 * [taylor]: Taking taylor expansion of 0 in R 0.368 * [taylor]: Taking taylor expansion of 0 in lambda2 0.368 * [taylor]: Taking taylor expansion of 0 in R 0.368 * [taylor]: Taking taylor expansion of 0 in lambda2 0.368 * [taylor]: Taking taylor expansion of 0 in R 0.368 * [taylor]: Taking taylor expansion of 0 in R 0.369 * [taylor]: Taking taylor expansion of 0 in R 0.369 * [taylor]: Taking taylor expansion of 0 in R 0.369 * [taylor]: Taking taylor expansion of 0 in R 0.371 * [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 0.371 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in R 0.371 * [taylor]: Taking taylor expansion of -1 in R 0.371 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in R 0.371 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in R 0.372 * [taylor]: Taking taylor expansion of R in R 0.372 * [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 lambda2 0.372 * [taylor]: Taking taylor expansion of -1 in lambda2 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 lambda2 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 lambda2 0.372 * [taylor]: Taking taylor expansion of R in lambda2 0.372 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in 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 phi2 0.373 * [taylor]: Taking taylor expansion of -1 in phi2 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 phi2 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 phi2 0.373 * [taylor]: Taking taylor expansion of R in phi2 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 phi1 0.374 * [taylor]: Taking taylor expansion of -1 in phi1 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 phi1 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 phi1 0.374 * [taylor]: Taking taylor expansion of R in phi1 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 phi1 0.374 * [taylor]: Taking taylor expansion of -1 in phi1 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 phi1 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 phi1 0.375 * [taylor]: Taking taylor expansion of R in phi1 0.375 * [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 0.375 * [taylor]: Taking taylor expansion of -1 in phi2 0.375 * [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 0.375 * [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 0.375 * [taylor]: Taking taylor expansion of R in phi2 0.376 * [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 0.376 * [taylor]: Taking taylor expansion of -1 in lambda1 0.376 * [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 0.376 * [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 0.376 * [taylor]: Taking taylor expansion of R in lambda1 0.377 * [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 0.377 * [taylor]: Taking taylor expansion of -1 in lambda2 0.377 * [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 0.377 * [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 0.377 * [taylor]: Taking taylor expansion of R in lambda2 0.378 * [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 0.378 * [taylor]: Taking taylor expansion of -1 in R 0.378 * [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 0.378 * [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 0.378 * [taylor]: Taking taylor expansion of R in R 0.380 * [taylor]: Taking taylor expansion of 0 in phi2 0.380 * [taylor]: Taking taylor expansion of 0 in lambda1 0.380 * [taylor]: Taking taylor expansion of 0 in lambda2 0.380 * [taylor]: Taking taylor expansion of 0 in R 0.381 * [taylor]: Taking taylor expansion of 0 in lambda1 0.381 * [taylor]: Taking taylor expansion of 0 in lambda2 0.381 * [taylor]: Taking taylor expansion of 0 in R 0.382 * [taylor]: Taking taylor expansion of 0 in lambda2 0.382 * [taylor]: Taking taylor expansion of 0 in R 0.383 * [taylor]: Taking taylor expansion of 0 in R 0.385 * [taylor]: Taking taylor expansion of 0 in phi2 0.385 * [taylor]: Taking taylor expansion of 0 in lambda1 0.385 * [taylor]: Taking taylor expansion of 0 in lambda2 0.385 * [taylor]: Taking taylor expansion of 0 in R 0.385 * [taylor]: Taking taylor expansion of 0 in lambda1 0.385 * [taylor]: Taking taylor expansion of 0 in lambda2 0.386 * [taylor]: Taking taylor expansion of 0 in R 0.387 * [taylor]: Taking taylor expansion of 0 in lambda1 0.387 * [taylor]: Taking taylor expansion of 0 in lambda2 0.387 * [taylor]: Taking taylor expansion of 0 in R 0.387 * [taylor]: Taking taylor expansion of 0 in lambda2 0.387 * [taylor]: Taking taylor expansion of 0 in R 0.387 * [taylor]: Taking taylor expansion of 0 in lambda2 0.387 * [taylor]: Taking taylor expansion of 0 in R 0.388 * [taylor]: Taking taylor expansion of 0 in lambda2 0.388 * [taylor]: Taking taylor expansion of 0 in R 0.388 * [taylor]: Taking taylor expansion of 0 in R 0.388 * [taylor]: Taking taylor expansion of 0 in R 0.388 * [taylor]: Taking taylor expansion of 0 in R 0.389 * [taylor]: Taking taylor expansion of 0 in R 0.392 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 0.392 * [approximate]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))) in (phi1 phi2 lambda1 lambda2) around 0 0.392 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))) in lambda2 0.392 * [taylor]: Taking taylor expansion of (cos phi1) in lambda2 0.392 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.392 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos (- lambda1 lambda2))) in lambda2 0.392 * [taylor]: Taking taylor expansion of (cos phi2) in lambda2 0.392 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.392 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 0.392 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 0.392 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.392 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.393 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))) in lambda1 0.393 * [taylor]: Taking taylor expansion of (cos phi1) in lambda1 0.393 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.393 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos (- lambda1 lambda2))) in lambda1 0.393 * [taylor]: Taking taylor expansion of (cos phi2) in lambda1 0.393 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.393 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.393 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.393 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.393 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.393 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))) in phi2 0.393 * [taylor]: Taking taylor expansion of (cos phi1) in phi2 0.393 * [taylor]: Taking taylor expansion of phi1 in phi2 0.393 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos (- lambda1 lambda2))) in phi2 0.393 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 0.393 * [taylor]: Taking taylor expansion of phi2 in phi2 0.393 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi2 0.393 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi2 0.393 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.393 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.393 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))) in phi1 0.393 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 0.393 * [taylor]: Taking taylor expansion of phi1 in phi1 0.393 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos (- lambda1 lambda2))) in phi1 0.393 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 0.393 * [taylor]: Taking taylor expansion of phi2 in phi1 0.393 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi1 0.393 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi1 0.393 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.393 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.394 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))) in phi1 0.394 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 0.394 * [taylor]: Taking taylor expansion of phi1 in phi1 0.394 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos (- lambda1 lambda2))) in phi1 0.394 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 0.394 * [taylor]: Taking taylor expansion of phi2 in phi1 0.394 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi1 0.394 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi1 0.394 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.394 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.395 * [taylor]: Taking taylor expansion of (* (cos (- lambda1 lambda2)) (cos phi2)) in phi2 0.395 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi2 0.395 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi2 0.395 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.395 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.395 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 0.395 * [taylor]: Taking taylor expansion of phi2 in phi2 0.395 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.395 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.395 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.395 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.396 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.396 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.396 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.400 * [taylor]: Taking taylor expansion of 0 in phi2 0.400 * [taylor]: Taking taylor expansion of 0 in lambda1 0.400 * [taylor]: Taking taylor expansion of 0 in lambda2 0.403 * [taylor]: Taking taylor expansion of 0 in lambda1 0.403 * [taylor]: Taking taylor expansion of 0 in lambda2 0.405 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 0.405 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 0.405 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.405 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.415 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (cos (- lambda1 lambda2)) (cos phi2)))) in phi2 0.415 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos (- lambda1 lambda2)) (cos phi2))) in phi2 0.415 * [taylor]: Taking taylor expansion of 1/2 in phi2 0.415 * [taylor]: Taking taylor expansion of (* (cos (- lambda1 lambda2)) (cos phi2)) in phi2 0.415 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi2 0.415 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi2 0.415 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.415 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.415 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 0.415 * [taylor]: Taking taylor expansion of phi2 in phi2 0.416 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda1 lambda2)))) in lambda1 0.416 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda1 lambda2))) in lambda1 0.416 * [taylor]: Taking taylor expansion of 1/2 in lambda1 0.416 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.416 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.416 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.416 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.416 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 0.416 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 0.416 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.416 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.416 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.416 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.417 * [taylor]: Taking taylor expansion of 0 in lambda1 0.417 * [taylor]: Taking taylor expansion of 0 in lambda2 0.421 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda1 lambda2)))) in lambda1 0.421 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda1 lambda2))) in lambda1 0.421 * [taylor]: Taking taylor expansion of 1/2 in lambda1 0.421 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.421 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.421 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.421 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.421 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 0.421 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 0.421 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.421 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.421 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.421 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.423 * [approximate]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in (phi1 phi2 lambda1 lambda2) around 0 0.423 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in lambda2 0.423 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.423 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.423 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.423 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.423 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.423 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.424 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in lambda2 0.424 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 0.424 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 0.424 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.424 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 0.424 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 0.424 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.424 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in lambda1 0.424 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.424 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.424 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.424 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.424 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.424 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.425 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in lambda1 0.425 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 0.425 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 0.425 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.425 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 0.425 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 0.425 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.425 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in phi2 0.425 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in phi2 0.425 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2 0.425 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 0.425 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.425 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 0.425 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.425 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in phi2 0.425 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 0.425 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.425 * [taylor]: Taking taylor expansion of phi2 in phi2 0.426 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 0.426 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.426 * [taylor]: Taking taylor expansion of phi1 in phi2 0.426 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in phi1 0.426 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in phi1 0.426 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1 0.426 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 0.426 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.426 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 0.426 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.426 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in phi1 0.426 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 0.426 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.426 * [taylor]: Taking taylor expansion of phi2 in phi1 0.426 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 0.426 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.426 * [taylor]: Taking taylor expansion of phi1 in phi1 0.426 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in phi1 0.426 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in phi1 0.426 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1 0.426 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 0.427 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.427 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 0.427 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.427 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in phi1 0.427 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 0.427 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.427 * [taylor]: Taking taylor expansion of phi2 in phi1 0.427 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 0.427 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.427 * [taylor]: Taking taylor expansion of phi1 in phi1 0.428 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) in phi2 0.428 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 0.428 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.428 * [taylor]: Taking taylor expansion of phi1 in phi2 0.428 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2)))) in phi2 0.428 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 0.428 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.428 * [taylor]: Taking taylor expansion of phi2 in phi2 0.429 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in phi2 0.429 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2 0.429 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 0.429 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.429 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 0.429 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.430 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in lambda1 0.430 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.430 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.430 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.430 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.430 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.430 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.431 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in lambda1 0.431 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 0.431 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 0.431 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.431 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 0.431 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 0.431 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.432 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) in lambda2 0.432 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 0.432 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 0.432 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.432 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2)))) in lambda2 0.432 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 0.432 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 0.432 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.432 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.432 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.432 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.432 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.432 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.432 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.438 * [taylor]: Taking taylor expansion of 0 in phi2 0.438 * [taylor]: Taking taylor expansion of 0 in lambda1 0.438 * [taylor]: Taking taylor expansion of 0 in lambda2 0.442 * [taylor]: Taking taylor expansion of 0 in lambda1 0.442 * [taylor]: Taking taylor expansion of 0 in lambda2 0.446 * [taylor]: Taking taylor expansion of 0 in lambda2 0.455 * [taylor]: Taking taylor expansion of 0 in phi2 0.455 * [taylor]: Taking taylor expansion of 0 in lambda1 0.455 * [taylor]: Taking taylor expansion of 0 in lambda2 0.455 * [taylor]: Taking taylor expansion of 0 in lambda1 0.455 * [taylor]: Taking taylor expansion of 0 in lambda2 0.456 * [approximate]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in (phi1 phi2 lambda1 lambda2) around 0 0.456 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda2 0.456 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 0.456 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 0.456 * [taylor]: Taking taylor expansion of -1 in lambda2 0.456 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.456 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda2 0.456 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 0.456 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 0.456 * [taylor]: Taking taylor expansion of -1 in lambda2 0.456 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.456 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.456 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.456 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.456 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.456 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.456 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.457 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda1 0.457 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 0.457 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 0.457 * [taylor]: Taking taylor expansion of -1 in lambda1 0.457 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.457 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda1 0.457 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 0.457 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 0.457 * [taylor]: Taking taylor expansion of -1 in lambda1 0.457 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.457 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.457 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.457 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.457 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.457 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.457 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.458 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi2 0.458 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 0.458 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.458 * [taylor]: Taking taylor expansion of -1 in phi2 0.458 * [taylor]: Taking taylor expansion of phi1 in phi2 0.458 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in phi2 0.458 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 0.458 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.458 * [taylor]: Taking taylor expansion of -1 in phi2 0.458 * [taylor]: Taking taylor expansion of phi2 in phi2 0.458 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in phi2 0.458 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi2 0.458 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 0.458 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.458 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 0.458 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.459 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi1 0.459 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 0.459 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.459 * [taylor]: Taking taylor expansion of -1 in phi1 0.459 * [taylor]: Taking taylor expansion of phi1 in phi1 0.459 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in phi1 0.459 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 0.459 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.459 * [taylor]: Taking taylor expansion of -1 in phi1 0.459 * [taylor]: Taking taylor expansion of phi2 in phi1 0.459 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in phi1 0.459 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi1 0.459 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 0.459 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.459 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 0.459 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.460 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi1 0.460 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 0.460 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.460 * [taylor]: Taking taylor expansion of -1 in phi1 0.460 * [taylor]: Taking taylor expansion of phi1 in phi1 0.460 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in phi1 0.460 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 0.460 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.460 * [taylor]: Taking taylor expansion of -1 in phi1 0.460 * [taylor]: Taking taylor expansion of phi2 in phi1 0.460 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in phi1 0.460 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi1 0.460 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 0.460 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.460 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 0.460 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.461 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi2 0.461 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 0.461 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.461 * [taylor]: Taking taylor expansion of -1 in phi2 0.461 * [taylor]: Taking taylor expansion of phi1 in phi2 0.462 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in phi2 0.462 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 0.462 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.462 * [taylor]: Taking taylor expansion of -1 in phi2 0.462 * [taylor]: Taking taylor expansion of phi2 in phi2 0.462 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in phi2 0.462 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi2 0.462 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 0.462 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.462 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 0.462 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.463 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda1 0.463 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 0.463 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 0.463 * [taylor]: Taking taylor expansion of -1 in lambda1 0.463 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.463 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda1 0.463 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 0.463 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 0.463 * [taylor]: Taking taylor expansion of -1 in lambda1 0.463 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.464 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.464 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.464 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.464 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.464 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.464 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.465 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda2 0.465 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 0.465 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 0.465 * [taylor]: Taking taylor expansion of -1 in lambda2 0.466 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.466 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda2 0.466 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 0.466 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 0.466 * [taylor]: Taking taylor expansion of -1 in lambda2 0.466 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.466 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.466 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.466 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.466 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.466 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.466 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.472 * [taylor]: Taking taylor expansion of 0 in phi2 0.472 * [taylor]: Taking taylor expansion of 0 in lambda1 0.472 * [taylor]: Taking taylor expansion of 0 in lambda2 0.476 * [taylor]: Taking taylor expansion of 0 in lambda1 0.476 * [taylor]: Taking taylor expansion of 0 in lambda2 0.480 * [taylor]: Taking taylor expansion of 0 in lambda2 0.489 * [taylor]: Taking taylor expansion of 0 in phi2 0.489 * [taylor]: Taking taylor expansion of 0 in lambda1 0.489 * [taylor]: Taking taylor expansion of 0 in lambda2 0.489 * [taylor]: Taking taylor expansion of 0 in lambda1 0.489 * [taylor]: Taking taylor expansion of 0 in lambda2 0.489 * * * [progress]: simplifying candidates 0.490 * [simplify]: Simplifying using # : (* (cos lambda1) (cos (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)) (log (cos (- lambda1 lambda2))) (exp (cos (- lambda1 lambda2))) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))) (+ (+ (log (cos phi1)) (log (cos phi2))) (log (cos (- lambda1 lambda2)))) (+ (log (* (cos phi1) (cos phi2))) (log (cos (- lambda1 lambda2)))) (log (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (exp (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (* (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2)))) (* (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2)))) (* (cbrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (cbrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (cbrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (* (* (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (sqrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (sqrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))) (* (* (cos phi1) (cos phi2)) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2))))) (* (* (cos phi1) (cos phi2)) (sqrt (cos (- lambda1 lambda2)))) (* (* (cos phi1) (cos phi2)) 1) (* (cos phi2) (cos (- lambda1 lambda2))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (cos (- lambda1 lambda2))) (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (- 1 (+ (* 1/2 (pow phi1 2)) (* 1/2 (pow phi2 2)))) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 0.495 * * [simplify]: iteration 0 : 264 enodes (cost 773 ) 0.499 * * [simplify]: iteration 1 : 1022 enodes (cost 656 ) 0.520 * * [simplify]: iteration 2 : 4705 enodes (cost 656 ) 0.590 * * [simplify]: iteration 3 : 5002 enodes (cost 656 ) 0.596 * [simplify]: Simplified to: (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)) (log (cos (- lambda1 lambda2))) (exp (cos (- lambda1 lambda2))) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))) (pow (cos (- lambda1 lambda2)) 3) (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (log (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (log (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (log (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (exp (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (pow (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3) (pow (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3) (* (cbrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (cbrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (cbrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (pow (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3) (sqrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (sqrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2))))) (* (* (cos phi1) (cos phi2)) (sqrt (cos (- lambda1 lambda2)))) (* (cos phi1) (cos phi2)) (* (cos phi2) (cos (- lambda1 lambda2))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (cos (- lambda1 lambda2))) (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (- 1 (+ (* 1/2 (pow phi1 2)) (* 1/2 (pow phi2 2)))) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 0.597 * * * [progress]: adding candidates to table 0.828 * * [progress]: iteration 2 / 4 0.829 * * * [progress]: picking best candidate 0.891 * * * * [pick]: Picked # 0.891 * * * [progress]: localizing error 0.924 * * * [progress]: generating rewritten candidates 0.924 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.925 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.928 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2 2) 0.933 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2) 0.939 * * * [progress]: generating series expansions 0.939 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.940 * [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 0.940 * [taylor]: Taking 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 0.940 * [taylor]: Taking 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 0.941 * [taylor]: Taking 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 0.941 * [taylor]: Taking 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 0.941 * [taylor]: Taking 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 0.942 * [taylor]: Taking 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 0.942 * [taylor]: Taking 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 0.943 * [taylor]: Taking 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 0.943 * [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 lambda1 0.943 * [taylor]: Taking taylor expansion of 0 in lambda2 0.944 * [taylor]: Taking taylor expansion of 0 in lambda2 0.944 * [taylor]: Taking taylor expansion of 0 in phi2 0.944 * [taylor]: Taking taylor expansion of 0 in lambda1 0.944 * [taylor]: Taking taylor expansion of 0 in lambda2 0.944 * [taylor]: Taking taylor expansion of 0 in lambda1 0.944 * [taylor]: Taking taylor expansion of 0 in lambda2 0.944 * [approximate]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 0.944 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 0.945 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 0.945 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 0.946 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 0.946 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 0.947 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 0.947 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 0.948 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 0.949 * [taylor]: Taking taylor expansion of 0 in phi2 0.949 * [taylor]: Taking taylor expansion of 0 in lambda1 0.949 * [taylor]: Taking taylor expansion of 0 in lambda2 0.949 * [taylor]: Taking taylor expansion of 0 in lambda1 0.949 * [taylor]: Taking taylor expansion of 0 in lambda2 0.949 * [taylor]: Taking taylor expansion of 0 in lambda2 0.949 * [taylor]: Taking taylor expansion of 0 in phi2 0.949 * [taylor]: Taking taylor expansion of 0 in lambda1 0.949 * [taylor]: Taking taylor expansion of 0 in lambda2 0.949 * [taylor]: Taking taylor expansion of 0 in lambda1 0.949 * [taylor]: Taking taylor expansion of 0 in lambda2 0.950 * [approximate]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 0.950 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 0.951 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 0.951 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 0.952 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 0.952 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 0.953 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 0.953 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 0.954 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 0.955 * [taylor]: Taking taylor expansion of 0 in phi2 0.955 * [taylor]: Taking taylor expansion of 0 in lambda1 0.955 * [taylor]: Taking taylor expansion of 0 in lambda2 0.955 * [taylor]: Taking taylor expansion of 0 in lambda1 0.955 * [taylor]: Taking taylor expansion of 0 in lambda2 0.955 * [taylor]: Taking taylor expansion of 0 in lambda2 0.955 * [taylor]: Taking taylor expansion of 0 in phi2 0.955 * [taylor]: Taking taylor expansion of 0 in lambda1 0.955 * [taylor]: Taking taylor expansion of 0 in lambda2 0.955 * [taylor]: Taking taylor expansion of 0 in lambda1 0.955 * [taylor]: Taking taylor expansion of 0 in lambda2 0.956 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.956 * [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 0.956 * [taylor]: Taking 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 0.956 * [taylor]: Taking 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 0.957 * [taylor]: Taking taylor expansion of R in R 0.957 * [taylor]: Taking 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 0.957 * [taylor]: Taking 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 0.957 * [taylor]: Taking taylor expansion of R in lambda2 0.957 * [taylor]: Taking 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 0.957 * [taylor]: Taking 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 0.957 * [taylor]: Taking taylor expansion of R in lambda1 0.957 * [taylor]: Taking 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 0.957 * [taylor]: Taking 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 0.958 * [taylor]: Taking taylor expansion of R in phi2 0.958 * [taylor]: Taking 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 0.958 * [taylor]: Taking 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 0.958 * [taylor]: Taking taylor expansion of R in phi1 0.958 * [taylor]: Taking 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 0.958 * [taylor]: Taking 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 0.959 * [taylor]: Taking taylor expansion of R in phi1 0.959 * [taylor]: Taking 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 0.959 * [taylor]: Taking 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 0.959 * [taylor]: Taking taylor expansion of R in phi2 0.960 * [taylor]: Taking 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 0.960 * [taylor]: Taking 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 0.960 * [taylor]: Taking taylor expansion of R in lambda1 0.960 * [taylor]: Taking 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 0.961 * [taylor]: Taking 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 0.961 * [taylor]: Taking taylor expansion of R in lambda2 0.961 * [taylor]: Taking 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 0.961 * [taylor]: Taking 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 0.962 * [taylor]: Taking taylor expansion of R in R 0.962 * [taylor]: Taking taylor expansion of 0 in phi2 0.962 * [taylor]: Taking taylor expansion of 0 in lambda1 0.962 * [taylor]: Taking taylor expansion of 0 in lambda2 0.962 * [taylor]: Taking taylor expansion of 0 in R 0.963 * [taylor]: Taking taylor expansion of 0 in lambda1 0.963 * [taylor]: Taking taylor expansion of 0 in lambda2 0.963 * [taylor]: Taking taylor expansion of 0 in R 0.963 * [taylor]: Taking taylor expansion of 0 in lambda2 0.963 * [taylor]: Taking taylor expansion of 0 in R 0.966 * [taylor]: Taking taylor expansion of 0 in R 0.968 * [taylor]: Taking taylor expansion of 0 in phi2 0.968 * [taylor]: Taking taylor expansion of 0 in lambda1 0.969 * [taylor]: Taking taylor expansion of 0 in lambda2 0.969 * [taylor]: Taking taylor expansion of 0 in R 0.969 * [taylor]: Taking taylor expansion of 0 in lambda1 0.969 * [taylor]: Taking taylor expansion of 0 in lambda2 0.969 * [taylor]: Taking taylor expansion of 0 in R 0.969 * [taylor]: Taking taylor expansion of 0 in lambda1 0.969 * [taylor]: Taking taylor expansion of 0 in lambda2 0.969 * [taylor]: Taking taylor expansion of 0 in R 0.969 * [taylor]: Taking taylor expansion of 0 in lambda2 0.969 * [taylor]: Taking taylor expansion of 0 in R 0.969 * [taylor]: Taking taylor expansion of 0 in lambda2 0.969 * [taylor]: Taking taylor expansion of 0 in R 0.970 * [taylor]: Taking taylor expansion of 0 in lambda2 0.970 * [taylor]: Taking taylor expansion of 0 in R 0.971 * [approximate]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 0.971 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in R 0.971 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in R 0.972 * [taylor]: Taking taylor expansion of R in R 0.972 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda2 0.972 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 0.973 * [taylor]: Taking taylor expansion of R in lambda2 0.973 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda1 0.973 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 0.974 * [taylor]: Taking taylor expansion of R in lambda1 0.974 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi2 0.975 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 0.975 * [taylor]: Taking taylor expansion of R in phi2 0.975 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi1 0.976 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 0.976 * [taylor]: Taking taylor expansion of R in phi1 0.976 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi1 0.977 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 0.977 * [taylor]: Taking taylor expansion of R in phi1 0.978 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi2 0.978 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 0.978 * [taylor]: Taking taylor expansion of R in phi2 0.979 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda1 0.979 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 0.979 * [taylor]: Taking taylor expansion of R in lambda1 0.980 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda2 0.980 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 0.980 * [taylor]: Taking taylor expansion of R in lambda2 0.981 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in R 0.981 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in R 0.981 * [taylor]: Taking taylor expansion of R in R 0.983 * [taylor]: Taking taylor expansion of 0 in phi2 0.983 * [taylor]: Taking taylor expansion of 0 in lambda1 0.983 * [taylor]: Taking taylor expansion of 0 in lambda2 0.983 * [taylor]: Taking taylor expansion of 0 in R 0.984 * [taylor]: Taking taylor expansion of 0 in lambda1 0.984 * [taylor]: Taking taylor expansion of 0 in lambda2 0.984 * [taylor]: Taking taylor expansion of 0 in R 0.984 * [taylor]: Taking taylor expansion of 0 in lambda2 0.984 * [taylor]: Taking taylor expansion of 0 in R 0.985 * [taylor]: Taking taylor expansion of 0 in R 0.987 * [taylor]: Taking taylor expansion of 0 in phi2 0.987 * [taylor]: Taking taylor expansion of 0 in lambda1 0.987 * [taylor]: Taking taylor expansion of 0 in lambda2 0.987 * [taylor]: Taking taylor expansion of 0 in R 0.987 * [taylor]: Taking taylor expansion of 0 in lambda1 0.987 * [taylor]: Taking taylor expansion of 0 in lambda2 0.987 * [taylor]: Taking taylor expansion of 0 in R 0.988 * [taylor]: Taking taylor expansion of 0 in lambda1 0.988 * [taylor]: Taking taylor expansion of 0 in lambda2 0.988 * [taylor]: Taking taylor expansion of 0 in R 0.988 * [taylor]: Taking taylor expansion of 0 in lambda2 0.988 * [taylor]: Taking taylor expansion of 0 in R 0.988 * [taylor]: Taking taylor expansion of 0 in lambda2 0.988 * [taylor]: Taking taylor expansion of 0 in R 0.988 * [taylor]: Taking taylor expansion of 0 in lambda2 0.988 * [taylor]: Taking taylor expansion of 0 in R 0.988 * [taylor]: Taking taylor expansion of 0 in R 0.988 * [taylor]: Taking taylor expansion of 0 in R 0.988 * [taylor]: Taking taylor expansion of 0 in R 0.989 * [taylor]: Taking taylor expansion of 0 in R 0.992 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 0.992 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in R 0.992 * [taylor]: Taking taylor expansion of -1 in R 0.992 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in R 0.992 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in R 0.993 * [taylor]: Taking taylor expansion of R in R 0.993 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda2 0.993 * [taylor]: Taking taylor expansion of -1 in lambda2 0.993 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda2 0.993 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 0.994 * [taylor]: Taking taylor expansion of R in lambda2 0.994 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda1 0.994 * [taylor]: Taking taylor expansion of -1 in lambda1 0.994 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda1 0.994 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 0.995 * [taylor]: Taking taylor expansion of R in lambda1 0.995 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi2 0.995 * [taylor]: Taking taylor expansion of -1 in phi2 0.995 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi2 0.995 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 0.996 * [taylor]: Taking taylor expansion of R in phi2 0.996 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi1 0.996 * [taylor]: Taking taylor expansion of -1 in phi1 0.996 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi1 0.996 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 0.997 * [taylor]: Taking taylor expansion of R in phi1 0.997 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi1 0.997 * [taylor]: Taking taylor expansion of -1 in phi1 0.997 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi1 0.998 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 0.998 * [taylor]: Taking taylor expansion of R in phi1 0.999 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi2 0.999 * [taylor]: Taking taylor expansion of -1 in phi2 0.999 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi2 0.999 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 1.000 * [taylor]: Taking taylor expansion of R in phi2 1.001 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda1 1.001 * [taylor]: Taking taylor expansion of -1 in lambda1 1.001 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda1 1.001 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 1.001 * [taylor]: Taking taylor expansion of R in lambda1 1.002 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda2 1.002 * [taylor]: Taking taylor expansion of -1 in lambda2 1.002 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda2 1.002 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 1.003 * [taylor]: Taking taylor expansion of R in lambda2 1.004 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in R 1.004 * [taylor]: Taking taylor expansion of -1 in R 1.004 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in R 1.004 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in R 1.004 * [taylor]: Taking taylor expansion of R in R 1.007 * [taylor]: Taking taylor expansion of 0 in phi2 1.007 * [taylor]: Taking taylor expansion of 0 in lambda1 1.007 * [taylor]: Taking taylor expansion of 0 in lambda2 1.007 * [taylor]: Taking taylor expansion of 0 in R 1.009 * [taylor]: Taking taylor expansion of 0 in lambda1 1.009 * [taylor]: Taking taylor expansion of 0 in lambda2 1.009 * [taylor]: Taking taylor expansion of 0 in R 1.010 * [taylor]: Taking taylor expansion of 0 in lambda2 1.010 * [taylor]: Taking taylor expansion of 0 in R 1.012 * [taylor]: Taking taylor expansion of 0 in R 1.015 * [taylor]: Taking taylor expansion of 0 in phi2 1.015 * [taylor]: Taking taylor expansion of 0 in lambda1 1.015 * [taylor]: Taking taylor expansion of 0 in lambda2 1.015 * [taylor]: Taking taylor expansion of 0 in R 1.015 * [taylor]: Taking taylor expansion of 0 in lambda1 1.015 * [taylor]: Taking taylor expansion of 0 in lambda2 1.015 * [taylor]: Taking taylor expansion of 0 in R 1.017 * [taylor]: Taking taylor expansion of 0 in lambda1 1.017 * [taylor]: Taking taylor expansion of 0 in lambda2 1.017 * [taylor]: Taking taylor expansion of 0 in R 1.017 * [taylor]: Taking taylor expansion of 0 in lambda2 1.017 * [taylor]: Taking taylor expansion of 0 in R 1.017 * [taylor]: Taking taylor expansion of 0 in lambda2 1.017 * [taylor]: Taking taylor expansion of 0 in R 1.019 * [taylor]: Taking taylor expansion of 0 in lambda2 1.019 * [taylor]: Taking taylor expansion of 0 in R 1.019 * [taylor]: Taking taylor expansion of 0 in R 1.019 * [taylor]: Taking taylor expansion of 0 in R 1.019 * [taylor]: Taking taylor expansion of 0 in R 1.021 * [taylor]: Taking taylor expansion of 0 in R 1.024 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2 2) 1.024 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in (lambda1 lambda2) around 0 1.024 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda2 1.024 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 1.025 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.025 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 1.025 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.025 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.025 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 1.025 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.025 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.025 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 1.025 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 1.025 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.025 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 1.025 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.025 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.025 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 1.025 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 1.025 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.026 * [taylor]: Taking taylor expansion of 0 in lambda2 1.028 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 1.028 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.028 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.032 * [taylor]: Taking taylor expansion of 0 in lambda2 1.037 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin (- lambda2)))) in lambda2 1.037 * [taylor]: Taking taylor expansion of (* 1/6 (sin (- lambda2))) in lambda2 1.037 * [taylor]: Taking taylor expansion of 1/6 in lambda2 1.037 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 1.037 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.037 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.048 * [taylor]: Taking taylor expansion of 0 in lambda2 1.048 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in (lambda1 lambda2) around 0 1.048 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda2 1.048 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.049 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.049 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.049 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 1.049 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 1.049 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.049 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.049 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 1.049 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.049 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.049 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.050 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 1.050 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 1.050 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.050 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.050 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 1.050 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.050 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.050 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.050 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 1.050 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 1.050 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.050 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.051 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda2 1.051 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.051 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.051 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.051 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 1.051 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 1.051 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.051 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.053 * [taylor]: Taking taylor expansion of 0 in lambda2 1.058 * [taylor]: Taking taylor expansion of 0 in lambda2 1.064 * [taylor]: Taking taylor expansion of 0 in lambda2 1.064 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 1.064 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.064 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.064 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.064 * [taylor]: Taking taylor expansion of -1 in lambda2 1.064 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.064 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.064 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.064 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.065 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.065 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.065 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.065 * [taylor]: Taking taylor expansion of -1 in lambda1 1.065 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.065 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.065 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.065 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.065 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.065 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.065 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.065 * [taylor]: Taking taylor expansion of -1 in lambda1 1.065 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.065 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.065 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.065 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.066 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.066 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.066 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.066 * [taylor]: Taking taylor expansion of -1 in lambda2 1.066 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.066 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.066 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.066 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.068 * [taylor]: Taking taylor expansion of 0 in lambda2 1.072 * [taylor]: Taking taylor expansion of 0 in lambda2 1.077 * [taylor]: Taking taylor expansion of 0 in lambda2 1.077 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2) 1.078 * [approximate]: Taking taylor expansion of (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))) in (lambda1 lambda2) around 0 1.078 * [taylor]: Taking taylor expansion of (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))) in lambda2 1.078 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda2 1.078 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda2 1.078 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.078 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 1.078 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.078 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda2 1.078 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 1.078 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.078 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 1.078 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.078 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.078 * [taylor]: Taking taylor expansion of (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))) in lambda1 1.078 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 1.078 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 1.078 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.078 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 1.078 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.078 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 1.079 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.079 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.079 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 1.079 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 1.079 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.079 * [taylor]: Taking taylor expansion of (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))) in lambda1 1.079 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 1.079 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 1.079 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.079 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 1.079 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.079 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 1.079 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.079 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.079 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 1.079 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 1.079 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.080 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 1.080 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.084 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 1.084 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 1.084 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.084 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.091 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos lambda2))) in lambda2 1.091 * [taylor]: Taking taylor expansion of (* 1/2 (cos lambda2)) in lambda2 1.091 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.091 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 1.091 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.094 * [approximate]: Taking taylor expansion of (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))) in (lambda1 lambda2) around 0 1.094 * [taylor]: Taking taylor expansion of (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))) in lambda2 1.094 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda2 1.094 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda2 1.094 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.094 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.094 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda2 1.094 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.094 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.094 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda2 1.094 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.094 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.094 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.094 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 1.094 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 1.094 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.094 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.095 * [taylor]: Taking taylor expansion of (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))) in lambda1 1.095 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda1 1.095 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda1 1.095 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.095 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.095 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda1 1.095 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.095 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.095 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 1.095 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.095 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.095 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.096 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 1.096 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 1.096 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.096 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.096 * [taylor]: Taking taylor expansion of (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))) in lambda1 1.096 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda1 1.096 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda1 1.096 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.096 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.096 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda1 1.096 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.096 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.096 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 1.096 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.096 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.096 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.097 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 1.097 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 1.097 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.097 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.098 * [taylor]: Taking taylor expansion of (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))) in lambda2 1.098 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda2 1.098 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda2 1.098 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.098 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.098 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda2 1.098 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.098 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.098 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda2 1.098 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.098 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.098 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.098 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 1.098 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 1.098 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.098 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.104 * [taylor]: Taking taylor expansion of 0 in lambda2 1.113 * [taylor]: Taking taylor expansion of 0 in lambda2 1.126 * [taylor]: Taking taylor expansion of 0 in lambda2 1.126 * [approximate]: Taking taylor expansion of (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) in (lambda1 lambda2) around 0 1.126 * [taylor]: Taking taylor expansion of (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) in lambda2 1.126 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda2 1.126 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda2 1.126 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.126 * [taylor]: Taking taylor expansion of -1 in lambda2 1.126 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.127 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda2 1.127 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.127 * [taylor]: Taking taylor expansion of -1 in lambda2 1.127 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.127 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.127 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.127 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.127 * [taylor]: Taking taylor expansion of -1 in lambda2 1.127 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.127 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.127 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.127 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.127 * [taylor]: Taking taylor expansion of (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) in lambda1 1.127 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda1 1.127 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda1 1.128 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.128 * [taylor]: Taking taylor expansion of -1 in lambda1 1.128 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.132 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda1 1.132 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.132 * [taylor]: Taking taylor expansion of -1 in lambda1 1.132 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.132 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.132 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.132 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.132 * [taylor]: Taking taylor expansion of -1 in lambda1 1.132 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.133 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.133 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.133 * [taylor]: Taking taylor expansion of lambda2 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 1.133 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda1 1.133 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.133 * [taylor]: Taking taylor expansion of -1 in lambda1 1.133 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.133 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.133 * [taylor]: Taking taylor expansion of (sin (/ -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 (sin (/ 1 lambda2)) in lambda1 1.134 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.134 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.135 * [taylor]: Taking taylor expansion of (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) in lambda2 1.135 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda2 1.135 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda2 1.135 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.135 * [taylor]: Taking taylor expansion of -1 in lambda2 1.135 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.135 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda2 1.135 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.135 * [taylor]: Taking taylor expansion of -1 in lambda2 1.135 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.135 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.135 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.135 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.135 * [taylor]: Taking taylor expansion of -1 in lambda2 1.135 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.135 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.135 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.135 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.140 * [taylor]: Taking taylor expansion of 0 in lambda2 1.150 * [taylor]: Taking taylor expansion of 0 in lambda2 1.161 * [taylor]: Taking taylor expansion of 0 in lambda2 1.162 * * * [progress]: simplifying candidates 1.163 * [simplify]: Simplifying using # : (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (- (cos (- lambda1 (- lambda2))) (cos (+ lambda1 (- lambda2)))) (* (sin lambda1) (sin (- lambda2))) (+ (log (sin lambda1)) (log (sin (- lambda2)))) (log (* (sin lambda1) (sin (- lambda2)))) (exp (* (sin lambda1) (sin (- lambda2)))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin (- lambda2)) (sin (- lambda2))) (sin (- lambda2)))) (* (cbrt (* (sin lambda1) (sin (- lambda2)))) (cbrt (* (sin lambda1) (sin (- lambda2))))) (cbrt (* (sin lambda1) (sin (- lambda2)))) (* (* (* (sin lambda1) (sin (- lambda2))) (* (sin lambda1) (sin (- lambda2)))) (* (sin lambda1) (sin (- lambda2)))) (sqrt (* (sin lambda1) (sin (- lambda2)))) (sqrt (* (sin lambda1) (sin (- lambda2)))) (* (sqrt (sin lambda1)) (sqrt (sin (- lambda2)))) (* (sqrt (sin lambda1)) (sqrt (sin (- lambda2)))) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (* (cbrt (sin (- lambda2))) (cbrt (sin (- lambda2))))) (* (sin lambda1) (sqrt (sin (- lambda2)))) (* (sin lambda1) 1) (* (cbrt (sin lambda1)) (sin (- lambda2))) (* (sqrt (sin lambda1)) (sin (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (/ (exp (* (cos lambda1) (cos lambda2))) (exp (* (sin lambda1) (sin (- lambda2))))) (log (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) (exp (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) (* (cbrt (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) (cbrt (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) (cbrt (- (* (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 lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) (sqrt (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) (sqrt (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) (- (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) (- (cos (- lambda1 (- lambda2))) (cos (+ lambda1 (- lambda2))))) (- (* (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) 2) (* 2 (- (cos (- lambda1 (- lambda2))) (cos (+ lambda1 (- lambda2)))))) (* 2 2) (- (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)))))) (- (* (sin lambda1) (sin (- lambda2)))) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin (- lambda2))) (* (sin lambda1) (sin (- lambda2))))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))) (- (* (sin lambda1) (sin (- lambda2)))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) (* -1 (* lambda2 lambda1)) (* (sin lambda1) (sin (- lambda2))) (* (sin lambda1) (sin (* -1 lambda2))) (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (* -1 lambda2)))) 1.169 * * [simplify]: iteration 0 : 319 enodes (cost 1102 ) 1.174 * * [simplify]: iteration 1 : 1073 enodes (cost 957 ) 1.195 * * [simplify]: iteration 2 : 4356 enodes (cost 916 ) 1.263 * * [simplify]: iteration 3 : 5002 enodes (cost 916 ) 1.267 * [simplify]: Simplified to: (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (- (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) (* (sin lambda1) (sin (* -1 lambda2))) (log (* (sin lambda1) (sin (- lambda2)))) (log (* (sin lambda1) (sin (- lambda2)))) (exp (* (sin lambda1) (sin (- lambda2)))) (pow (* (sin lambda1) (sin (- lambda2))) 3) (* (cbrt (* (sin lambda1) (sin (- lambda2)))) (cbrt (* (sin lambda1) (sin (- lambda2))))) (cbrt (* (sin lambda1) (sin (- lambda2)))) (pow (* (sin lambda1) (sin (- lambda2))) 3) (sqrt (* (sin lambda1) (sin (- lambda2)))) (sqrt (* (sin lambda1) (sin (- lambda2)))) (* (sqrt (sin lambda1)) (sqrt (sin (- lambda2)))) (* (sqrt (sin lambda1)) (sqrt (sin (- lambda2)))) (* (sin lambda2) (sin lambda1)) (* (sin lambda1) (* (cbrt (sin (- lambda2))) (cbrt (sin (- lambda2))))) (* (sin lambda1) (sqrt (sin (- lambda2)))) (sin lambda1) (* (cbrt (sin lambda1)) (sin (- lambda2))) (* (sqrt (sin lambda1)) (sin (- lambda2))) (* (sin lambda1) (sin (* -1 lambda2))) (exp (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) (log (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) (exp (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) (* (cbrt (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) (cbrt (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) (cbrt (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) (pow (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))) 3) (sqrt (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) (sqrt (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) (+ (+ (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) 0) (* (+ (+ (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) 0) 2) 4 (- (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 lambda2) (sin lambda2)) (* (sin lambda1) (sin lambda1)))) (* (sin lambda2) (sin lambda1)) (+ (* (- (* (sin lambda1) (sin lambda1))) (* (sin lambda2) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (sin lambda2) (sin lambda1)) (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) (* -1 (* lambda2 lambda1)) (* (sin lambda1) (sin (* -1 lambda2))) (* (sin lambda1) (sin (* -1 lambda2))) (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))) 1.267 * * * [progress]: adding candidates to table 1.631 * * [progress]: iteration 3 / 4 1.632 * * * [progress]: picking best candidate 1.713 * * * * [pick]: Picked # 1.713 * * * [progress]: localizing error 1.749 * * * [progress]: generating rewritten candidates 1.749 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.759 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.760 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.795 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 2 2 2) 1.802 * * * [progress]: generating series expansions 1.802 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.804 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.804 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in lambda2 1.804 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 1.804 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.804 * [taylor]: Taking taylor expansion of PI in lambda2 1.804 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 1.804 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in lambda1 1.804 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 1.804 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.804 * [taylor]: Taking taylor expansion of PI in lambda1 1.804 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 1.804 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in phi2 1.804 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 1.804 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.805 * [taylor]: Taking taylor expansion of PI in phi2 1.805 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 1.805 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in phi1 1.805 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 1.805 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.805 * [taylor]: Taking taylor expansion of PI in phi1 1.805 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 1.805 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in phi1 1.805 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 1.805 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.805 * [taylor]: Taking taylor expansion of PI in phi1 1.805 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 1.807 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in phi2 1.807 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 1.807 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.807 * [taylor]: Taking taylor expansion of PI in phi2 1.807 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 1.809 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in lambda1 1.809 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 1.809 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.809 * [taylor]: Taking taylor expansion of PI in lambda1 1.809 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 1.811 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in lambda2 1.811 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 1.811 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.811 * [taylor]: Taking taylor expansion of PI in lambda2 1.811 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 1.814 * [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 1.815 * [taylor]: Taking taylor expansion of 0 in lambda1 1.815 * [taylor]: Taking taylor expansion of 0 in lambda2 1.816 * [taylor]: Taking taylor expansion of 0 in lambda2 1.818 * [taylor]: Taking taylor expansion of 0 in phi2 1.818 * [taylor]: Taking taylor expansion of 0 in lambda1 1.818 * [taylor]: Taking taylor expansion of 0 in lambda2 1.818 * [taylor]: Taking taylor expansion of 0 in lambda1 1.818 * [taylor]: Taking taylor expansion of 0 in lambda2 1.820 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.820 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in lambda2 1.820 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 1.820 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.820 * [taylor]: Taking taylor expansion of PI in lambda2 1.820 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 1.821 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in lambda1 1.821 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 1.821 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.821 * [taylor]: Taking taylor expansion of PI in lambda1 1.821 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 1.821 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in phi2 1.821 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 1.821 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.821 * [taylor]: Taking taylor expansion of PI in phi2 1.821 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 1.822 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in phi1 1.822 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 1.822 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.822 * [taylor]: Taking taylor expansion of PI in phi1 1.822 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 1.822 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in phi1 1.822 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 1.822 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.822 * [taylor]: Taking taylor expansion of PI in phi1 1.822 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 1.825 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in phi2 1.825 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 1.825 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.825 * [taylor]: Taking taylor expansion of PI in phi2 1.825 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 1.827 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in lambda1 1.827 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 1.827 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.827 * [taylor]: Taking taylor expansion of PI in lambda1 1.827 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 1.829 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in lambda2 1.829 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 1.829 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.829 * [taylor]: Taking taylor expansion of PI in lambda2 1.829 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 1.833 * [taylor]: Taking taylor expansion of 0 in phi2 1.833 * [taylor]: Taking taylor expansion of 0 in lambda1 1.833 * [taylor]: Taking taylor expansion of 0 in lambda2 1.834 * [taylor]: Taking taylor expansion of 0 in lambda1 1.834 * [taylor]: Taking taylor expansion of 0 in lambda2 1.835 * [taylor]: Taking taylor expansion of 0 in lambda2 1.837 * [taylor]: Taking taylor expansion of 0 in phi2 1.837 * [taylor]: Taking taylor expansion of 0 in lambda1 1.837 * [taylor]: Taking taylor expansion of 0 in lambda2 1.837 * [taylor]: Taking taylor expansion of 0 in lambda1 1.837 * [taylor]: Taking taylor expansion of 0 in lambda2 1.839 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.839 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 1.839 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 1.839 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.839 * [taylor]: Taking taylor expansion of PI in lambda2 1.839 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 1.839 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in lambda1 1.839 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 1.839 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.839 * [taylor]: Taking taylor expansion of PI in lambda1 1.839 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 1.840 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in phi2 1.840 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 1.840 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.840 * [taylor]: Taking taylor expansion of PI in phi2 1.840 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 1.840 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in phi1 1.843 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 1.843 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.843 * [taylor]: Taking taylor expansion of PI in phi1 1.843 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 1.844 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in phi1 1.844 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 1.844 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.844 * [taylor]: Taking taylor expansion of PI in phi1 1.844 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 1.846 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in phi2 1.846 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 1.847 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.847 * [taylor]: Taking taylor expansion of PI in phi2 1.847 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 1.849 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in lambda1 1.849 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 1.849 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.849 * [taylor]: Taking taylor expansion of PI in lambda1 1.849 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 1.851 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 1.851 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 1.851 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.851 * [taylor]: Taking taylor expansion of PI in lambda2 1.851 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 1.855 * [taylor]: Taking taylor expansion of 0 in phi2 1.855 * [taylor]: Taking taylor expansion of 0 in lambda1 1.855 * [taylor]: Taking taylor expansion of 0 in lambda2 1.856 * [taylor]: Taking taylor expansion of 0 in lambda1 1.856 * [taylor]: Taking taylor expansion of 0 in lambda2 1.857 * [taylor]: Taking taylor expansion of 0 in lambda2 1.858 * [taylor]: Taking taylor expansion of 0 in phi2 1.858 * [taylor]: Taking taylor expansion of 0 in lambda1 1.858 * [taylor]: Taking taylor expansion of 0 in lambda2 1.858 * [taylor]: Taking taylor expansion of 0 in lambda1 1.859 * [taylor]: Taking taylor expansion of 0 in lambda2 1.860 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.860 * [approximate]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.860 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 1.860 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 1.861 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 1.861 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 1.861 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 1.862 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 1.862 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 1.863 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 1.863 * [taylor]: Taking taylor expansion of 0 in phi2 1.863 * [taylor]: Taking taylor expansion of 0 in lambda1 1.863 * [taylor]: Taking taylor expansion of 0 in lambda2 1.863 * [taylor]: Taking taylor expansion of 0 in lambda1 1.864 * [taylor]: Taking taylor expansion of 0 in lambda2 1.864 * [taylor]: Taking taylor expansion of 0 in lambda2 1.864 * [taylor]: Taking taylor expansion of 0 in phi2 1.864 * [taylor]: Taking taylor expansion of 0 in lambda1 1.864 * [taylor]: Taking taylor expansion of 0 in lambda2 1.864 * [taylor]: Taking taylor expansion of 0 in lambda1 1.864 * [taylor]: Taking taylor expansion of 0 in lambda2 1.865 * [approximate]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.865 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 1.865 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 1.866 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 1.866 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 1.867 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 1.867 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 1.868 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 1.868 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 1.869 * [taylor]: Taking taylor expansion of 0 in phi2 1.869 * [taylor]: Taking taylor expansion of 0 in lambda1 1.869 * [taylor]: Taking taylor expansion of 0 in lambda2 1.869 * [taylor]: Taking taylor expansion of 0 in lambda1 1.869 * [taylor]: Taking taylor expansion of 0 in lambda2 1.869 * [taylor]: Taking taylor expansion of 0 in lambda2 1.870 * [taylor]: Taking taylor expansion of 0 in phi2 1.870 * [taylor]: Taking taylor expansion of 0 in lambda1 1.870 * [taylor]: Taking taylor expansion of 0 in lambda2 1.870 * [taylor]: Taking taylor expansion of 0 in lambda1 1.870 * [taylor]: Taking taylor expansion of 0 in lambda2 1.871 * [approximate]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.871 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 1.871 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 1.872 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 1.872 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 1.873 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 1.873 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 1.874 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 1.874 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 1.875 * [taylor]: Taking taylor expansion of 0 in phi2 1.875 * [taylor]: Taking taylor expansion of 0 in lambda1 1.875 * [taylor]: Taking taylor expansion of 0 in lambda2 1.875 * [taylor]: Taking taylor expansion of 0 in lambda1 1.875 * [taylor]: Taking taylor expansion of 0 in lambda2 1.875 * [taylor]: Taking taylor expansion of 0 in lambda2 1.875 * [taylor]: Taking taylor expansion of 0 in phi2 1.875 * [taylor]: Taking taylor expansion of 0 in lambda1 1.875 * [taylor]: Taking taylor expansion of 0 in lambda2 1.875 * [taylor]: Taking taylor expansion of 0 in lambda1 1.875 * [taylor]: Taking taylor expansion of 0 in lambda2 1.876 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.877 * [approximate]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 1.877 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) R) in R 1.877 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in R 1.877 * [taylor]: Taking taylor expansion of (* 1/2 PI) in R 1.877 * [taylor]: Taking taylor expansion of 1/2 in R 1.877 * [taylor]: Taking taylor expansion of PI in R 1.877 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in R 1.878 * [taylor]: Taking taylor expansion of R in R 1.878 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) R) in lambda2 1.878 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in lambda2 1.878 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 1.878 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.878 * [taylor]: Taking taylor expansion of PI in lambda2 1.878 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 1.878 * [taylor]: Taking taylor expansion of R in lambda2 1.878 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) R) in lambda1 1.878 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in lambda1 1.878 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 1.878 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.878 * [taylor]: Taking taylor expansion of PI in lambda1 1.878 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 1.878 * [taylor]: Taking taylor expansion of R in lambda1 1.878 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) R) in phi2 1.878 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in phi2 1.879 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 1.879 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.879 * [taylor]: Taking taylor expansion of PI in phi2 1.879 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 1.879 * [taylor]: Taking taylor expansion of R in phi2 1.879 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) R) in phi1 1.879 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in phi1 1.879 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 1.879 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.879 * [taylor]: Taking taylor expansion of PI in phi1 1.879 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 1.879 * [taylor]: Taking taylor expansion of R in phi1 1.879 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) R) in phi1 1.879 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in phi1 1.879 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 1.879 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.879 * [taylor]: Taking taylor expansion of PI in phi1 1.879 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 1.880 * [taylor]: Taking taylor expansion of R in phi1 1.882 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) R) in phi2 1.882 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in phi2 1.882 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 1.882 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.882 * [taylor]: Taking taylor expansion of PI in phi2 1.882 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 1.882 * [taylor]: Taking taylor expansion of R in phi2 1.885 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) R) in lambda1 1.885 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in lambda1 1.885 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 1.885 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.885 * [taylor]: Taking taylor expansion of PI in lambda1 1.885 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 1.885 * [taylor]: Taking taylor expansion of R in lambda1 1.887 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) R) in lambda2 1.887 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in lambda2 1.887 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 1.887 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.887 * [taylor]: Taking taylor expansion of PI in lambda2 1.887 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 1.888 * [taylor]: Taking taylor expansion of R in lambda2 1.890 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) R) in R 1.890 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in R 1.890 * [taylor]: Taking taylor expansion of (* 1/2 PI) in R 1.890 * [taylor]: Taking taylor expansion of 1/2 in R 1.890 * [taylor]: Taking taylor expansion of PI in R 1.890 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in R 1.890 * [taylor]: Taking taylor expansion of R in R 1.894 * [taylor]: Taking taylor expansion of 0 in phi2 1.894 * [taylor]: Taking taylor expansion of 0 in lambda1 1.894 * [taylor]: Taking taylor expansion of 0 in lambda2 1.894 * [taylor]: Taking taylor expansion of 0 in R 1.895 * [taylor]: Taking taylor expansion of 0 in lambda1 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 lambda2 1.897 * [taylor]: Taking taylor expansion of 0 in R 1.899 * [taylor]: Taking taylor expansion of 0 in R 1.903 * [taylor]: Taking taylor expansion of 0 in phi2 1.903 * [taylor]: Taking taylor expansion of 0 in lambda1 1.903 * [taylor]: Taking taylor expansion of 0 in lambda2 1.903 * [taylor]: Taking taylor expansion of 0 in R 1.903 * [taylor]: Taking taylor expansion of 0 in lambda1 1.903 * [taylor]: Taking taylor expansion of 0 in lambda2 1.903 * [taylor]: Taking taylor expansion of 0 in R 1.905 * [taylor]: Taking taylor expansion of 0 in lambda1 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 1.905 * [taylor]: Taking taylor expansion of 0 in lambda2 1.905 * [taylor]: Taking taylor expansion of 0 in R 1.907 * [taylor]: Taking taylor expansion of 0 in lambda2 1.907 * [taylor]: Taking taylor expansion of 0 in R 1.909 * [approximate]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 1.909 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) R) in R 1.909 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in R 1.909 * [taylor]: Taking taylor expansion of (* 1/2 PI) in R 1.909 * [taylor]: Taking taylor expansion of 1/2 in R 1.909 * [taylor]: Taking taylor expansion of PI in R 1.909 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in R 1.910 * [taylor]: Taking taylor expansion of R in R 1.912 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) R) in lambda2 1.912 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in lambda2 1.912 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 1.912 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.913 * [taylor]: Taking taylor expansion of PI in lambda2 1.913 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 1.913 * [taylor]: Taking taylor expansion of R in lambda2 1.916 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) R) in lambda1 1.916 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in lambda1 1.916 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 1.916 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.916 * [taylor]: Taking taylor expansion of PI in lambda1 1.916 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 1.916 * [taylor]: Taking taylor expansion of R in lambda1 1.919 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) R) in phi2 1.919 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in phi2 1.919 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 1.919 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.919 * [taylor]: Taking taylor expansion of PI in phi2 1.919 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 1.919 * [taylor]: Taking taylor expansion of R in phi2 1.922 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) R) in phi1 1.922 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in phi1 1.922 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 1.922 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.922 * [taylor]: Taking taylor expansion of PI in phi1 1.922 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 1.923 * [taylor]: Taking taylor expansion of R in phi1 1.928 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) R) in phi1 1.928 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in phi1 1.928 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 1.928 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.928 * [taylor]: Taking taylor expansion of PI in phi1 1.928 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 1.929 * [taylor]: Taking taylor expansion of R in phi1 1.931 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) R) in phi2 1.931 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in phi2 1.931 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 1.932 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.932 * [taylor]: Taking taylor expansion of PI in phi2 1.932 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 1.932 * [taylor]: Taking taylor expansion of R in phi2 1.935 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) R) in lambda1 1.935 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in lambda1 1.935 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 1.935 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.935 * [taylor]: Taking taylor expansion of PI in lambda1 1.935 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 1.935 * [taylor]: Taking taylor expansion of R in lambda1 1.938 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) R) in lambda2 1.938 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in lambda2 1.938 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 1.938 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.938 * [taylor]: Taking taylor expansion of PI in lambda2 1.938 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 1.938 * [taylor]: Taking taylor expansion of R in lambda2 1.941 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) R) in R 1.941 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in R 1.941 * [taylor]: Taking taylor expansion of (* 1/2 PI) in R 1.941 * [taylor]: Taking taylor expansion of 1/2 in R 1.941 * [taylor]: Taking taylor expansion of PI in R 1.941 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in R 1.941 * [taylor]: Taking taylor expansion of R in R 1.947 * [taylor]: Taking taylor expansion of 0 in phi2 1.947 * [taylor]: Taking taylor expansion of 0 in lambda1 1.947 * [taylor]: Taking taylor expansion of 0 in lambda2 1.947 * [taylor]: Taking taylor expansion of 0 in R 1.948 * [taylor]: Taking taylor expansion of 0 in lambda1 1.949 * [taylor]: Taking taylor expansion of 0 in lambda2 1.949 * [taylor]: Taking taylor expansion of 0 in R 1.950 * [taylor]: Taking taylor expansion of 0 in lambda2 1.950 * [taylor]: Taking taylor expansion of 0 in R 1.952 * [taylor]: Taking taylor expansion of 0 in R 1.956 * [taylor]: Taking taylor expansion of 0 in phi2 1.956 * [taylor]: Taking taylor expansion of 0 in lambda1 1.956 * [taylor]: Taking taylor expansion of 0 in lambda2 1.956 * [taylor]: Taking taylor expansion of 0 in R 1.956 * [taylor]: Taking taylor expansion of 0 in lambda1 1.957 * [taylor]: Taking taylor expansion of 0 in lambda2 1.957 * [taylor]: Taking taylor expansion of 0 in R 1.958 * [taylor]: Taking taylor expansion of 0 in lambda1 1.959 * [taylor]: Taking taylor expansion of 0 in lambda2 1.959 * [taylor]: Taking taylor expansion of 0 in R 1.959 * [taylor]: Taking taylor expansion of 0 in lambda2 1.959 * [taylor]: Taking taylor expansion of 0 in R 1.959 * [taylor]: Taking taylor expansion of 0 in lambda2 1.959 * [taylor]: Taking taylor expansion of 0 in R 1.961 * [taylor]: Taking taylor expansion of 0 in lambda2 1.961 * [taylor]: Taking taylor expansion of 0 in R 1.961 * [taylor]: Taking taylor expansion of 0 in R 1.961 * [taylor]: Taking taylor expansion of 0 in R 1.961 * [taylor]: Taking taylor expansion of 0 in R 1.963 * [taylor]: Taking taylor expansion of 0 in R 1.968 * [approximate]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 1.968 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) R)) in R 1.968 * [taylor]: Taking taylor expansion of -1 in R 1.968 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) R) in R 1.968 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in R 1.968 * [taylor]: Taking taylor expansion of (* 1/2 PI) in R 1.968 * [taylor]: Taking taylor expansion of 1/2 in R 1.968 * [taylor]: Taking taylor expansion of PI in R 1.968 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in R 1.968 * [taylor]: Taking taylor expansion of R in R 1.971 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) R)) in lambda2 1.971 * [taylor]: Taking taylor expansion of -1 in lambda2 1.971 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) R) in lambda2 1.971 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 1.971 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 1.971 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.971 * [taylor]: Taking taylor expansion of PI in lambda2 1.971 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 1.972 * [taylor]: Taking taylor expansion of R in lambda2 1.974 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) R)) in lambda1 1.974 * [taylor]: Taking taylor expansion of -1 in lambda1 1.974 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) R) in lambda1 1.974 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in lambda1 1.974 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 1.974 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.974 * [taylor]: Taking taylor expansion of PI in lambda1 1.974 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 1.975 * [taylor]: Taking taylor expansion of R in lambda1 1.977 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) R)) in phi2 1.977 * [taylor]: Taking taylor expansion of -1 in phi2 1.977 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) R) in phi2 1.977 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in phi2 1.977 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 1.977 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.977 * [taylor]: Taking taylor expansion of PI in phi2 1.977 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 1.978 * [taylor]: Taking taylor expansion of R in phi2 1.980 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) R)) in phi1 1.980 * [taylor]: Taking taylor expansion of -1 in phi1 1.980 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) R) in phi1 1.980 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in phi1 1.980 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 1.980 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.980 * [taylor]: Taking taylor expansion of PI in phi1 1.980 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 1.981 * [taylor]: Taking taylor expansion of R in phi1 1.983 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) R)) in phi1 1.983 * [taylor]: Taking taylor expansion of -1 in phi1 1.983 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) R) in phi1 1.983 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in phi1 1.983 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 1.983 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.983 * [taylor]: Taking taylor expansion of PI in phi1 1.983 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 1.984 * [taylor]: Taking taylor expansion of R in phi1 1.987 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) R)) in phi2 1.987 * [taylor]: Taking taylor expansion of -1 in phi2 1.987 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) R) in phi2 1.987 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in phi2 1.987 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 1.987 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.987 * [taylor]: Taking taylor expansion of PI in phi2 1.987 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 1.988 * [taylor]: Taking taylor expansion of R in phi2 1.991 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) R)) in lambda1 1.991 * [taylor]: Taking taylor expansion of -1 in lambda1 1.991 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) R) in lambda1 1.991 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in lambda1 1.991 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 1.991 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.991 * [taylor]: Taking taylor expansion of PI in lambda1 1.991 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 1.992 * [taylor]: Taking taylor expansion of R in lambda1 1.995 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) R)) in lambda2 1.995 * [taylor]: Taking taylor expansion of -1 in lambda2 1.995 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) R) in lambda2 1.995 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 1.995 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 1.995 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.995 * [taylor]: Taking taylor expansion of PI in lambda2 1.995 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 1.996 * [taylor]: Taking taylor expansion of R in lambda2 1.999 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) R)) in R 1.999 * [taylor]: Taking taylor expansion of -1 in R 1.999 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) R) in R 1.999 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in R 1.999 * [taylor]: Taking taylor expansion of (* 1/2 PI) in R 1.999 * [taylor]: Taking taylor expansion of 1/2 in R 1.999 * [taylor]: Taking taylor expansion of PI in R 1.999 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in R 2.000 * [taylor]: Taking taylor expansion of R in R 2.011 * [taylor]: Taking taylor expansion of 0 in phi2 2.011 * [taylor]: Taking taylor expansion of 0 in lambda1 2.011 * [taylor]: Taking taylor expansion of 0 in lambda2 2.011 * [taylor]: Taking taylor expansion of 0 in R 2.014 * [taylor]: Taking taylor expansion of 0 in lambda1 2.014 * [taylor]: Taking taylor expansion of 0 in lambda2 2.014 * [taylor]: Taking taylor expansion of 0 in R 2.017 * [taylor]: Taking taylor expansion of 0 in lambda2 2.017 * [taylor]: Taking taylor expansion of 0 in R 2.020 * [taylor]: Taking taylor expansion of 0 in R 2.027 * [taylor]: Taking taylor expansion of 0 in phi2 2.027 * [taylor]: Taking taylor expansion of 0 in lambda1 2.027 * [taylor]: Taking taylor expansion of 0 in lambda2 2.027 * [taylor]: Taking taylor expansion of 0 in R 2.027 * [taylor]: Taking taylor expansion of 0 in lambda1 2.027 * [taylor]: Taking taylor expansion of 0 in lambda2 2.027 * [taylor]: Taking taylor expansion of 0 in R 2.031 * [taylor]: Taking taylor expansion of 0 in lambda1 2.031 * [taylor]: Taking taylor expansion of 0 in lambda2 2.031 * [taylor]: Taking taylor expansion of 0 in R 2.031 * [taylor]: Taking taylor expansion of 0 in lambda2 2.031 * [taylor]: Taking taylor expansion of 0 in R 2.031 * [taylor]: Taking taylor expansion of 0 in lambda2 2.031 * [taylor]: Taking taylor expansion of 0 in R 2.034 * [taylor]: Taking taylor expansion of 0 in lambda2 2.034 * [taylor]: Taking taylor expansion of 0 in R 2.034 * [taylor]: Taking taylor expansion of 0 in R 2.034 * [taylor]: Taking taylor expansion of 0 in R 2.034 * [taylor]: Taking taylor expansion of 0 in R 2.037 * [taylor]: Taking taylor expansion of 0 in R 2.043 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 2 2 2) 2.043 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in (lambda1 lambda2) around 0 2.043 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda2 2.043 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 2.043 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.043 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 2.043 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 2.043 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.044 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 2.044 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.044 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.044 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 2.044 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 2.044 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.044 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 2.044 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.044 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.044 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 2.044 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 2.044 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.044 * [taylor]: Taking taylor expansion of 0 in lambda2 2.047 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 2.047 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 2.047 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.050 * [taylor]: Taking taylor expansion of 0 in lambda2 2.056 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin (- lambda2)))) in lambda2 2.056 * [taylor]: Taking taylor expansion of (* 1/6 (sin (- lambda2))) in lambda2 2.056 * [taylor]: Taking taylor expansion of 1/6 in lambda2 2.056 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 2.056 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 2.056 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.064 * [taylor]: Taking taylor expansion of 0 in lambda2 2.065 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in (lambda1 lambda2) around 0 2.065 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda2 2.065 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 2.065 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.065 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.065 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 2.065 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 2.065 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.065 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.066 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 2.066 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 2.066 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.066 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.066 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 2.066 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 2.066 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.066 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.066 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 2.066 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 2.066 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.066 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.066 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 2.067 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 2.067 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.067 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.067 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda2 2.067 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 2.067 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.067 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.067 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 2.067 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 2.067 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.067 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.070 * [taylor]: Taking taylor expansion of 0 in lambda2 2.075 * [taylor]: Taking taylor expansion of 0 in lambda2 2.081 * [taylor]: Taking taylor expansion of 0 in lambda2 2.081 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 2.081 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 2.081 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 2.081 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.081 * [taylor]: Taking taylor expansion of -1 in lambda2 2.081 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.081 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 2.081 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.081 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.082 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 2.082 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 2.082 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.082 * [taylor]: Taking taylor expansion of -1 in lambda1 2.082 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.082 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 2.082 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.082 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.082 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 2.082 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 2.082 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.082 * [taylor]: Taking taylor expansion of -1 in lambda1 2.082 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.083 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 2.083 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.083 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.083 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 2.083 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 2.083 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.083 * [taylor]: Taking taylor expansion of -1 in lambda2 2.083 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.083 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 2.083 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.083 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.085 * [taylor]: Taking taylor expansion of 0 in lambda2 2.089 * [taylor]: Taking taylor expansion of 0 in lambda2 2.100 * [taylor]: Taking taylor expansion of 0 in lambda2 2.100 * * * [progress]: simplifying candidates 2.101 * [simplify]: Simplifying using # : (/ (exp (/ PI 2)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (log (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (* (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (- (pow (/ PI 2) 3) (pow (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (- (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (+ (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (+ (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (- (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (- (/ PI 2) (/ PI 2)) (- (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (log (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R) (+ (log (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (log R)) (log (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R)) (exp (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R)) (* (* (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (* (* R R) R)) (* (cbrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R)) (cbrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R))) (cbrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R)) (* (* (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R)) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R)) (sqrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R)) (sqrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R)) (* (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (sqrt R)) (* (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (sqrt R)) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (cbrt R) (cbrt R))) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt R)) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) 1) (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) R) (* (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) R) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R) (* (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) R) (* (- (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) R) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R) (* (- (pow (/ PI 2) 3) (pow (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) 3)) R) (* (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) R) (- (cos (- lambda1 (- lambda2))) (cos (+ lambda1 (- lambda2)))) (* (sin lambda1) (sin (- lambda2))) (+ (log (sin lambda1)) (log (sin (- lambda2)))) (log (* (sin lambda1) (sin (- lambda2)))) (exp (* (sin lambda1) (sin (- lambda2)))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin (- lambda2)) (sin (- lambda2))) (sin (- lambda2)))) (* (cbrt (* (sin lambda1) (sin (- lambda2)))) (cbrt (* (sin lambda1) (sin (- lambda2))))) (cbrt (* (sin lambda1) (sin (- lambda2)))) (* (* (* (sin lambda1) (sin (- lambda2))) (* (sin lambda1) (sin (- lambda2)))) (* (sin lambda1) (sin (- lambda2)))) (sqrt (* (sin lambda1) (sin (- lambda2)))) (sqrt (* (sin lambda1) (sin (- lambda2)))) (* (sqrt (sin lambda1)) (sqrt (sin (- lambda2)))) (* (sqrt (sin lambda1)) (sqrt (sin (- lambda2)))) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (* (cbrt (sin (- lambda2))) (cbrt (sin (- lambda2))))) (* (sin lambda1) (sqrt (sin (- lambda2)))) (* (sin lambda1) 1) (* (cbrt (sin lambda1)) (sin (- lambda2))) (* (sqrt (sin lambda1)) (sin (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2)))))))) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) (* (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) R) (* (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) R) (* (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2)))))))) R) (* -1 (* lambda2 lambda1)) (* (sin lambda1) (sin (- lambda2))) (* (sin lambda1) (sin (* -1 lambda2))) 2.108 * * [simplify]: iteration 0 : 303 enodes (cost 1591 ) 2.113 * * [simplify]: iteration 1 : 944 enodes (cost 1452 ) 2.130 * * [simplify]: iteration 2 : 3651 enodes (cost 1440 ) 2.190 * * [simplify]: iteration 3 : 5002 enodes (cost 1440 ) 2.195 * [simplify]: Simplified to: (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (log (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (pow (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) 3) (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (- (pow (/ PI 2) 3) (pow (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) 3)) (+ (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (+ (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (/ PI 2))) (* (/ PI 2) (/ PI 2))) (- (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (+ (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (+ (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (- (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) 0 (- (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (log (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (pow (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) 3) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R) (log (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R)) (log (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R)) (exp (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R)) (pow (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R) 3) (* (cbrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R)) (cbrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R))) (cbrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R)) (pow (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R) 3) (sqrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R)) (sqrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R)) (* (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (sqrt R)) (* (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (sqrt R)) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (cbrt R) (cbrt R))) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt R)) (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) R) (* (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) R) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R) (* (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) R) (* (- (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) R) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R) (* (- (pow (/ PI 2) 3) (pow (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) 3)) R) (* (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) R) (- (cos (- lambda1 (- lambda2))) (cos (+ lambda1 (- lambda2)))) (* (sin lambda1) (sin (* -1 lambda2))) (log (* (sin lambda1) (sin (- lambda2)))) (log (* (sin lambda1) (sin (- lambda2)))) (exp (* (sin lambda1) (sin (- lambda2)))) (pow (* (sin lambda1) (sin (* -1 lambda2))) 3) (* (cbrt (* (sin lambda1) (sin (- lambda2)))) (cbrt (* (sin lambda1) (sin (- lambda2))))) (cbrt (* (sin lambda1) (sin (- lambda2)))) (pow (* (sin lambda1) (sin (* -1 lambda2))) 3) (sqrt (* (sin lambda1) (sin (- lambda2)))) (sqrt (* (sin lambda1) (sin (- lambda2)))) (* (sqrt (sin lambda1)) (sqrt (sin (- lambda2)))) (* (sqrt (sin lambda1)) (sqrt (sin (- lambda2)))) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (* (cbrt (sin (- lambda2))) (cbrt (sin (- lambda2))))) (* (sin lambda1) (sqrt (sin (- lambda2)))) (sin lambda1) (* (cbrt (sin lambda1)) (sin (- lambda2))) (* (sqrt (sin lambda1)) (sin (- lambda2))) (* (sin lambda1) (sin (* -1 lambda2))) (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2)))))))) (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2)))))))) (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2)))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (* (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2)))))))) R) (* (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2)))))))) R) (* (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2)))))))) R) (* -1 (* lambda2 lambda1)) (* (sin lambda1) (sin (* -1 lambda2))) (* (sin lambda1) (sin (* -1 lambda2))) 2.196 * * * [progress]: adding candidates to table 2.606 * * [progress]: iteration 4 / 4 2.606 * * * [progress]: picking best candidate 2.709 * * * * [pick]: Picked # 2.709 * * * [progress]: localizing error 2.753 * * * [progress]: generating rewritten candidates 2.753 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 2.759 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 2.763 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 2.766 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2) 2.768 * * * [progress]: generating series expansions 2.768 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 2.770 * [approximate]: Taking taylor expansion of (- (* 1/4 (pow PI 2)) (pow (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2)) in (phi1 phi2 lambda1 lambda2) around 0 2.770 * [taylor]: Taking taylor expansion of (- (* 1/4 (pow PI 2)) (pow (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2)) in lambda2 2.770 * [taylor]: Taking taylor expansion of (* 1/4 (pow PI 2)) in lambda2 2.770 * [taylor]: Taking taylor expansion of 1/4 in lambda2 2.770 * [taylor]: Taking taylor expansion of (pow PI 2) in lambda2 2.770 * [taylor]: Taking taylor expansion of PI in lambda2 2.770 * [taylor]: Taking taylor expansion of (pow (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2) in lambda2 2.770 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 2.770 * [taylor]: Taking taylor expansion of (- (* 1/4 (pow PI 2)) (pow (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2)) in lambda1 2.770 * [taylor]: Taking taylor expansion of (* 1/4 (pow PI 2)) in lambda1 2.770 * [taylor]: Taking taylor expansion of 1/4 in lambda1 2.770 * [taylor]: Taking taylor expansion of (pow PI 2) in lambda1 2.770 * [taylor]: Taking taylor expansion of PI in lambda1 2.770 * [taylor]: Taking taylor expansion of (pow (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2) in lambda1 2.770 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 2.771 * [taylor]: Taking taylor expansion of (- (* 1/4 (pow PI 2)) (pow (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2)) in phi2 2.771 * [taylor]: Taking taylor expansion of (* 1/4 (pow PI 2)) in phi2 2.771 * [taylor]: Taking taylor expansion of 1/4 in phi2 2.771 * [taylor]: Taking taylor expansion of (pow PI 2) in phi2 2.771 * [taylor]: Taking taylor expansion of PI in phi2 2.771 * [taylor]: Taking taylor expansion of (pow (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2) in phi2 2.771 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 2.771 * [taylor]: Taking taylor expansion of (- (* 1/4 (pow PI 2)) (pow (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2)) in phi1 2.771 * [taylor]: Taking taylor expansion of (* 1/4 (pow PI 2)) in phi1 2.771 * [taylor]: Taking taylor expansion of 1/4 in phi1 2.771 * [taylor]: Taking taylor expansion of (pow PI 2) in phi1 2.771 * [taylor]: Taking taylor expansion of PI in phi1 2.771 * [taylor]: Taking taylor expansion of (pow (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2) in phi1 2.771 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 2.772 * [taylor]: Taking taylor expansion of (- (* 1/4 (pow PI 2)) (pow (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2)) in phi1 2.772 * [taylor]: Taking taylor expansion of (* 1/4 (pow PI 2)) in phi1 2.772 * [taylor]: Taking taylor expansion of 1/4 in phi1 2.772 * [taylor]: Taking taylor expansion of (pow PI 2) in phi1 2.772 * [taylor]: Taking taylor expansion of PI in phi1 2.772 * [taylor]: Taking taylor expansion of (pow (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2) in phi1 2.772 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 2.776 * [taylor]: Taking taylor expansion of (- (* 1/4 (pow PI 2)) (pow (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2)) in phi2 2.776 * [taylor]: Taking taylor expansion of (* 1/4 (pow PI 2)) in phi2 2.776 * [taylor]: Taking taylor expansion of 1/4 in phi2 2.776 * [taylor]: Taking taylor expansion of (pow PI 2) in phi2 2.776 * [taylor]: Taking taylor expansion of PI in phi2 2.776 * [taylor]: Taking taylor expansion of (pow (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2) in phi2 2.776 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 2.780 * [taylor]: Taking taylor expansion of (- (* 1/4 (pow PI 2)) (pow (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2)) in lambda1 2.780 * [taylor]: Taking taylor expansion of (* 1/4 (pow PI 2)) in lambda1 2.780 * [taylor]: Taking taylor expansion of 1/4 in lambda1 2.780 * [taylor]: Taking taylor expansion of (pow PI 2) in lambda1 2.780 * [taylor]: Taking taylor expansion of PI in lambda1 2.780 * [taylor]: Taking taylor expansion of (pow (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2) in lambda1 2.780 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 2.783 * [taylor]: Taking taylor expansion of (- (* 1/4 (pow PI 2)) (pow (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2)) in lambda2 2.783 * [taylor]: Taking taylor expansion of (* 1/4 (pow PI 2)) in lambda2 2.783 * [taylor]: Taking taylor expansion of 1/4 in lambda2 2.783 * [taylor]: Taking taylor expansion of (pow PI 2) in lambda2 2.784 * [taylor]: Taking taylor expansion of PI in lambda2 2.784 * [taylor]: Taking taylor expansion of (pow (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2) in lambda2 2.784 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 2.791 * [taylor]: Taking taylor expansion of 0 in phi2 2.791 * [taylor]: Taking taylor expansion of 0 in lambda1 2.791 * [taylor]: Taking taylor expansion of 0 in lambda2 2.793 * [taylor]: Taking taylor expansion of 0 in lambda1 2.793 * [taylor]: Taking taylor expansion of 0 in lambda2 2.795 * [taylor]: Taking taylor expansion of 0 in lambda2 2.800 * [taylor]: Taking taylor expansion of 0 in phi2 2.800 * [taylor]: Taking taylor expansion of 0 in lambda1 2.800 * [taylor]: Taking taylor expansion of 0 in lambda2 2.800 * [taylor]: Taking taylor expansion of 0 in lambda1 2.800 * [taylor]: Taking taylor expansion of 0 in lambda2 2.803 * [approximate]: Taking taylor expansion of (- (* 1/4 (pow PI 2)) (pow (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2)) in (phi1 phi2 lambda1 lambda2) around 0 2.803 * [taylor]: Taking taylor expansion of (- (* 1/4 (pow PI 2)) (pow (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2)) in lambda2 2.803 * [taylor]: Taking taylor expansion of (* 1/4 (pow PI 2)) in lambda2 2.803 * [taylor]: Taking taylor expansion of 1/4 in lambda2 2.803 * [taylor]: Taking taylor expansion of (pow PI 2) in lambda2 2.803 * [taylor]: Taking taylor expansion of PI in lambda2 2.803 * [taylor]: Taking taylor expansion of (pow (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2) in lambda2 2.804 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 2.804 * [taylor]: Taking taylor expansion of (- (* 1/4 (pow PI 2)) (pow (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2)) in lambda1 2.804 * [taylor]: Taking taylor expansion of (* 1/4 (pow PI 2)) in lambda1 2.804 * [taylor]: Taking taylor expansion of 1/4 in lambda1 2.804 * [taylor]: Taking taylor expansion of (pow PI 2) in lambda1 2.804 * [taylor]: Taking taylor expansion of PI in lambda1 2.804 * [taylor]: Taking taylor expansion of (pow (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2) in lambda1 2.804 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 2.805 * [taylor]: Taking taylor expansion of (- (* 1/4 (pow PI 2)) (pow (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2)) in phi2 2.805 * [taylor]: Taking taylor expansion of (* 1/4 (pow PI 2)) in phi2 2.805 * [taylor]: Taking taylor expansion of 1/4 in phi2 2.805 * [taylor]: Taking taylor expansion of (pow PI 2) in phi2 2.805 * [taylor]: Taking taylor expansion of PI in phi2 2.805 * [taylor]: Taking taylor expansion of (pow (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2) in phi2 2.805 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 2.806 * [taylor]: Taking taylor expansion of (- (* 1/4 (pow PI 2)) (pow (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2)) in phi1 2.806 * [taylor]: Taking taylor expansion of (* 1/4 (pow PI 2)) in phi1 2.806 * [taylor]: Taking taylor expansion of 1/4 in phi1 2.806 * [taylor]: Taking taylor expansion of (pow PI 2) in phi1 2.806 * [taylor]: Taking taylor expansion of PI in phi1 2.806 * [taylor]: Taking taylor expansion of (pow (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2) in phi1 2.806 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 2.806 * [taylor]: Taking taylor expansion of (- (* 1/4 (pow PI 2)) (pow (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2)) in phi1 2.806 * [taylor]: Taking taylor expansion of (* 1/4 (pow PI 2)) in phi1 2.806 * [taylor]: Taking taylor expansion of 1/4 in phi1 2.806 * [taylor]: Taking taylor expansion of (pow PI 2) in phi1 2.806 * [taylor]: Taking taylor expansion of PI in phi1 2.806 * [taylor]: Taking taylor expansion of (pow (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2) in phi1 2.806 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 2.811 * [taylor]: Taking taylor expansion of (- (* 1/4 (pow PI 2)) (pow (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2)) in phi2 2.811 * [taylor]: Taking taylor expansion of (* 1/4 (pow PI 2)) in phi2 2.811 * [taylor]: Taking taylor expansion of 1/4 in phi2 2.811 * [taylor]: Taking taylor expansion of (pow PI 2) in phi2 2.811 * [taylor]: Taking taylor expansion of PI in phi2 2.811 * [taylor]: Taking taylor expansion of (pow (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2) in phi2 2.811 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 2.816 * [taylor]: Taking taylor expansion of (- (* 1/4 (pow PI 2)) (pow (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2)) in lambda1 2.816 * [taylor]: Taking taylor expansion of (* 1/4 (pow PI 2)) in lambda1 2.816 * [taylor]: Taking taylor expansion of 1/4 in lambda1 2.816 * [taylor]: Taking taylor expansion of (pow PI 2) in lambda1 2.816 * [taylor]: Taking taylor expansion of PI in lambda1 2.816 * [taylor]: Taking taylor expansion of (pow (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2) in lambda1 2.816 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 2.820 * [taylor]: Taking taylor expansion of (- (* 1/4 (pow PI 2)) (pow (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2)) in lambda2 2.820 * [taylor]: Taking taylor expansion of (* 1/4 (pow PI 2)) in lambda2 2.820 * [taylor]: Taking taylor expansion of 1/4 in lambda2 2.821 * [taylor]: Taking taylor expansion of (pow PI 2) in lambda2 2.821 * [taylor]: Taking taylor expansion of PI in lambda2 2.821 * [taylor]: Taking taylor expansion of (pow (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2) in lambda2 2.821 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 2.829 * [taylor]: Taking taylor expansion of 0 in phi2 2.829 * [taylor]: Taking taylor expansion of 0 in lambda1 2.829 * [taylor]: Taking taylor expansion of 0 in lambda2 2.831 * [taylor]: Taking taylor expansion of 0 in lambda1 2.831 * [taylor]: Taking taylor expansion of 0 in lambda2 2.834 * [taylor]: Taking taylor expansion of 0 in lambda2 2.839 * [taylor]: Taking taylor expansion of 0 in phi2 2.839 * [taylor]: Taking taylor expansion of 0 in lambda1 2.839 * [taylor]: Taking taylor expansion of 0 in lambda2 2.839 * [taylor]: Taking taylor expansion of 0 in lambda1 2.839 * [taylor]: Taking taylor expansion of 0 in lambda2 2.843 * [approximate]: Taking taylor expansion of (- (* 1/4 (pow PI 2)) (pow (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2)) in (phi1 phi2 lambda1 lambda2) around 0 2.843 * [taylor]: Taking taylor expansion of (- (* 1/4 (pow PI 2)) (pow (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2)) in lambda2 2.843 * [taylor]: Taking taylor expansion of (* 1/4 (pow PI 2)) in lambda2 2.843 * [taylor]: Taking taylor expansion of 1/4 in lambda2 2.843 * [taylor]: Taking taylor expansion of (pow PI 2) in lambda2 2.843 * [taylor]: Taking taylor expansion of PI in lambda2 2.843 * [taylor]: Taking taylor expansion of (pow (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2) in lambda2 2.843 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.844 * [taylor]: Taking taylor expansion of (- (* 1/4 (pow PI 2)) (pow (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2)) in lambda1 2.844 * [taylor]: Taking taylor expansion of (* 1/4 (pow PI 2)) in lambda1 2.844 * [taylor]: Taking taylor expansion of 1/4 in lambda1 2.844 * [taylor]: Taking taylor expansion of (pow PI 2) in lambda1 2.844 * [taylor]: Taking taylor expansion of PI in lambda1 2.844 * [taylor]: Taking taylor expansion of (pow (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2) in lambda1 2.844 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.844 * [taylor]: Taking taylor expansion of (- (* 1/4 (pow PI 2)) (pow (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2)) in phi2 2.844 * [taylor]: Taking taylor expansion of (* 1/4 (pow PI 2)) in phi2 2.844 * [taylor]: Taking taylor expansion of 1/4 in phi2 2.844 * [taylor]: Taking taylor expansion of (pow PI 2) in phi2 2.844 * [taylor]: Taking taylor expansion of PI in phi2 2.844 * [taylor]: Taking taylor expansion of (pow (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2) in phi2 2.844 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.845 * [taylor]: Taking taylor expansion of (- (* 1/4 (pow PI 2)) (pow (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2)) in phi1 2.845 * [taylor]: Taking taylor expansion of (* 1/4 (pow PI 2)) in phi1 2.845 * [taylor]: Taking taylor expansion of 1/4 in phi1 2.845 * [taylor]: Taking taylor expansion of (pow PI 2) in phi1 2.845 * [taylor]: Taking taylor expansion of PI in phi1 2.845 * [taylor]: Taking taylor expansion of (pow (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2) in phi1 2.845 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.845 * [taylor]: Taking taylor expansion of (- (* 1/4 (pow PI 2)) (pow (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2)) in phi1 2.845 * [taylor]: Taking taylor expansion of (* 1/4 (pow PI 2)) in phi1 2.845 * [taylor]: Taking taylor expansion of 1/4 in phi1 2.845 * [taylor]: Taking taylor expansion of (pow PI 2) in phi1 2.845 * [taylor]: Taking taylor expansion of PI in phi1 2.845 * [taylor]: Taking taylor expansion of (pow (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2) in phi1 2.845 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.854 * [taylor]: Taking taylor expansion of (- (* 1/4 (pow PI 2)) (pow (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2)) in phi2 2.854 * [taylor]: Taking taylor expansion of (* 1/4 (pow PI 2)) in phi2 2.854 * [taylor]: Taking taylor expansion of 1/4 in phi2 2.854 * [taylor]: Taking taylor expansion of (pow PI 2) in phi2 2.854 * [taylor]: Taking taylor expansion of PI in phi2 2.854 * [taylor]: Taking taylor expansion of (pow (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2) in phi2 2.854 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.859 * [taylor]: Taking taylor expansion of (- (* 1/4 (pow PI 2)) (pow (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2)) in lambda1 2.859 * [taylor]: Taking taylor expansion of (* 1/4 (pow PI 2)) in lambda1 2.859 * [taylor]: Taking taylor expansion of 1/4 in lambda1 2.859 * [taylor]: Taking taylor expansion of (pow PI 2) in lambda1 2.859 * [taylor]: Taking taylor expansion of PI in lambda1 2.859 * [taylor]: Taking taylor expansion of (pow (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2) in lambda1 2.859 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.863 * [taylor]: Taking taylor expansion of (- (* 1/4 (pow PI 2)) (pow (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2)) in lambda2 2.863 * [taylor]: Taking taylor expansion of (* 1/4 (pow PI 2)) in lambda2 2.863 * [taylor]: Taking taylor expansion of 1/4 in lambda2 2.863 * [taylor]: Taking taylor expansion of (pow PI 2) in lambda2 2.863 * [taylor]: Taking taylor expansion of PI in lambda2 2.863 * [taylor]: Taking taylor expansion of (pow (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2) in lambda2 2.863 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.871 * [taylor]: Taking taylor expansion of 0 in phi2 2.872 * [taylor]: Taking taylor expansion of 0 in lambda1 2.872 * [taylor]: Taking taylor expansion of 0 in lambda2 2.874 * [taylor]: Taking taylor expansion of 0 in lambda1 2.874 * [taylor]: Taking taylor expansion of 0 in lambda2 2.876 * [taylor]: Taking taylor expansion of 0 in lambda2 2.882 * [taylor]: Taking taylor expansion of 0 in phi2 2.882 * [taylor]: Taking taylor expansion of 0 in lambda1 2.882 * [taylor]: Taking taylor expansion of 0 in lambda2 2.882 * [taylor]: Taking taylor expansion of 0 in lambda1 2.882 * [taylor]: Taking taylor expansion of 0 in lambda2 2.884 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 2.884 * [approximate]: Taking taylor expansion of (pow (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2) in (phi1 phi2 lambda1 lambda2) around 0 2.884 * [taylor]: Taking taylor expansion of (pow (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2) in lambda2 2.884 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 2.885 * [taylor]: Taking taylor expansion of (pow (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2) in lambda1 2.885 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 2.885 * [taylor]: Taking taylor expansion of (pow (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2) in phi2 2.885 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 2.885 * [taylor]: Taking taylor expansion of (pow (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2) in phi1 2.885 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 2.886 * [taylor]: Taking taylor expansion of (pow (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2) in phi1 2.886 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 2.887 * [taylor]: Taking taylor expansion of (pow (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2) in phi2 2.887 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 2.888 * [taylor]: Taking taylor expansion of (pow (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2) in lambda1 2.888 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 2.889 * [taylor]: Taking taylor expansion of (pow (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2) in lambda2 2.889 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 2.891 * [taylor]: Taking taylor expansion of 0 in phi2 2.891 * [taylor]: Taking taylor expansion of 0 in lambda1 2.891 * [taylor]: Taking taylor expansion of 0 in lambda2 2.892 * [taylor]: Taking taylor expansion of 0 in lambda1 2.892 * [taylor]: Taking taylor expansion of 0 in lambda2 2.893 * [taylor]: Taking taylor expansion of 0 in lambda2 2.895 * [taylor]: Taking taylor expansion of 0 in phi2 2.895 * [taylor]: Taking taylor expansion of 0 in lambda1 2.895 * [taylor]: Taking taylor expansion of 0 in lambda2 2.895 * [taylor]: Taking taylor expansion of 0 in lambda1 2.895 * [taylor]: Taking taylor expansion of 0 in lambda2 2.897 * [approximate]: Taking taylor expansion of (pow (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2) in (phi1 phi2 lambda1 lambda2) around 0 2.897 * [taylor]: Taking taylor expansion of (pow (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2) in lambda2 2.897 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 2.897 * [taylor]: Taking taylor expansion of (pow (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2) in lambda1 2.897 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 2.898 * [taylor]: Taking taylor expansion of (pow (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2) in phi2 2.898 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 2.898 * [taylor]: Taking taylor expansion of (pow (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2) in phi1 2.898 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 2.899 * [taylor]: Taking taylor expansion of (pow (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2) in phi1 2.899 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 2.900 * [taylor]: Taking taylor expansion of (pow (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2) in phi2 2.900 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 2.902 * [taylor]: Taking taylor expansion of (pow (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2) in lambda1 2.902 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 2.903 * [taylor]: Taking taylor expansion of (pow (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2) in lambda2 2.903 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 2.907 * [taylor]: Taking taylor expansion of 0 in phi2 2.907 * [taylor]: Taking taylor expansion of 0 in lambda1 2.907 * [taylor]: Taking taylor expansion of 0 in lambda2 2.908 * [taylor]: Taking taylor expansion of 0 in lambda1 2.908 * [taylor]: Taking taylor expansion of 0 in lambda2 2.909 * [taylor]: Taking taylor expansion of 0 in lambda2 2.911 * [taylor]: Taking taylor expansion of 0 in phi2 2.911 * [taylor]: Taking taylor expansion of 0 in lambda1 2.911 * [taylor]: Taking taylor expansion of 0 in lambda2 2.911 * [taylor]: Taking taylor expansion of 0 in lambda1 2.911 * [taylor]: Taking taylor expansion of 0 in lambda2 2.913 * [approximate]: Taking taylor expansion of (pow (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2) in (phi1 phi2 lambda1 lambda2) around 0 2.913 * [taylor]: Taking taylor expansion of (pow (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2) in lambda2 2.913 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.914 * [taylor]: Taking taylor expansion of (pow (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2) in lambda1 2.914 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.914 * [taylor]: Taking taylor expansion of (pow (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2) in phi2 2.914 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.915 * [taylor]: Taking taylor expansion of (pow (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2) in phi1 2.915 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.915 * [taylor]: Taking taylor expansion of (pow (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2) in phi1 2.915 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.917 * [taylor]: Taking taylor expansion of (pow (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2) in phi2 2.917 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.918 * [taylor]: Taking taylor expansion of (pow (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2) in lambda1 2.918 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.920 * [taylor]: Taking taylor expansion of (pow (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2) in lambda2 2.920 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.923 * [taylor]: Taking taylor expansion of 0 in phi2 2.923 * [taylor]: Taking taylor expansion of 0 in lambda1 2.923 * [taylor]: Taking taylor expansion of 0 in lambda2 2.924 * [taylor]: Taking taylor expansion of 0 in lambda1 2.924 * [taylor]: Taking taylor expansion of 0 in lambda2 2.925 * [taylor]: Taking taylor expansion of 0 in lambda2 2.927 * [taylor]: Taking taylor expansion of 0 in phi2 2.927 * [taylor]: Taking taylor expansion of 0 in lambda1 2.927 * [taylor]: Taking taylor expansion of 0 in lambda2 2.927 * [taylor]: Taking taylor expansion of 0 in lambda1 2.928 * [taylor]: Taking taylor expansion of 0 in lambda2 2.928 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 2.929 * [approximate]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.929 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 2.929 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 2.932 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 2.933 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 2.933 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 2.934 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 2.934 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 2.934 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 2.935 * [taylor]: Taking taylor expansion of 0 in phi2 2.935 * [taylor]: Taking taylor expansion of 0 in lambda1 2.935 * [taylor]: Taking taylor expansion of 0 in lambda2 2.935 * [taylor]: Taking taylor expansion of 0 in lambda1 2.935 * [taylor]: Taking taylor expansion of 0 in lambda2 2.935 * [taylor]: Taking taylor expansion of 0 in lambda2 2.935 * [taylor]: Taking taylor expansion of 0 in phi2 2.935 * [taylor]: Taking taylor expansion of 0 in lambda1 2.935 * [taylor]: Taking taylor expansion of 0 in lambda2 2.935 * [taylor]: Taking taylor expansion of 0 in lambda1 2.935 * [taylor]: Taking taylor expansion of 0 in lambda2 2.936 * [approximate]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.936 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 2.937 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 2.937 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 2.938 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 2.938 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 2.939 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 2.939 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 2.940 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 2.941 * [taylor]: Taking taylor expansion of 0 in phi2 2.941 * [taylor]: Taking taylor expansion of 0 in lambda1 2.941 * [taylor]: Taking taylor expansion of 0 in lambda2 2.941 * [taylor]: Taking taylor expansion of 0 in lambda1 2.941 * [taylor]: Taking taylor expansion of 0 in lambda2 2.941 * [taylor]: Taking taylor expansion of 0 in lambda2 2.941 * [taylor]: Taking taylor expansion of 0 in phi2 2.941 * [taylor]: Taking taylor expansion of 0 in lambda1 2.941 * [taylor]: Taking taylor expansion of 0 in lambda2 2.941 * [taylor]: Taking taylor expansion of 0 in lambda1 2.941 * [taylor]: Taking taylor expansion of 0 in lambda2 2.942 * [approximate]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.942 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.943 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.943 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.944 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.944 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.945 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.945 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.946 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.947 * [taylor]: Taking taylor expansion of 0 in phi2 2.947 * [taylor]: Taking taylor expansion of 0 in lambda1 2.947 * [taylor]: Taking taylor expansion of 0 in lambda2 2.947 * [taylor]: Taking taylor expansion of 0 in lambda1 2.947 * [taylor]: Taking taylor expansion of 0 in lambda2 2.947 * [taylor]: Taking taylor expansion of 0 in lambda2 2.947 * [taylor]: Taking taylor expansion of 0 in phi2 2.947 * [taylor]: Taking taylor expansion of 0 in lambda1 2.947 * [taylor]: Taking taylor expansion of 0 in lambda2 2.947 * [taylor]: Taking taylor expansion of 0 in lambda1 2.947 * [taylor]: Taking taylor expansion of 0 in lambda2 2.948 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2) 2.948 * [approximate]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.948 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 2.948 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 2.949 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 2.949 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 2.949 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 2.950 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 2.950 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 2.951 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 2.951 * [taylor]: Taking taylor expansion of 0 in phi2 2.951 * [taylor]: Taking taylor expansion of 0 in lambda1 2.951 * [taylor]: Taking taylor expansion of 0 in lambda2 2.951 * [taylor]: Taking taylor expansion of 0 in lambda1 2.951 * [taylor]: Taking taylor expansion of 0 in lambda2 2.951 * [taylor]: Taking taylor expansion of 0 in lambda2 2.951 * [taylor]: Taking taylor expansion of 0 in phi2 2.951 * [taylor]: Taking taylor expansion of 0 in lambda1 2.951 * [taylor]: Taking taylor expansion of 0 in lambda2 2.952 * [taylor]: Taking taylor expansion of 0 in lambda1 2.952 * [taylor]: Taking taylor expansion of 0 in lambda2 2.952 * [approximate]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.952 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 2.953 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 2.953 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 2.954 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 2.954 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 2.955 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 2.956 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 2.956 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 2.957 * [taylor]: Taking taylor expansion of 0 in phi2 2.957 * [taylor]: Taking taylor expansion of 0 in lambda1 2.957 * [taylor]: Taking taylor expansion of 0 in lambda2 2.957 * [taylor]: Taking taylor expansion of 0 in lambda1 2.957 * [taylor]: Taking taylor expansion of 0 in lambda2 2.957 * [taylor]: Taking taylor expansion of 0 in lambda2 2.957 * [taylor]: Taking taylor expansion of 0 in phi2 2.957 * [taylor]: Taking taylor expansion of 0 in lambda1 2.957 * [taylor]: Taking taylor expansion of 0 in lambda2 2.957 * [taylor]: Taking taylor expansion of 0 in lambda1 2.957 * [taylor]: Taking taylor expansion of 0 in lambda2 2.959 * [approximate]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.959 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.959 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.960 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.960 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.960 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.961 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.961 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.962 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.963 * [taylor]: Taking taylor expansion of 0 in phi2 2.963 * [taylor]: Taking taylor expansion of 0 in lambda1 2.963 * [taylor]: Taking taylor expansion of 0 in lambda2 2.963 * [taylor]: Taking taylor expansion of 0 in lambda1 2.963 * [taylor]: Taking taylor expansion of 0 in lambda2 2.963 * [taylor]: Taking taylor expansion of 0 in lambda2 2.963 * [taylor]: Taking taylor expansion of 0 in phi2 2.963 * [taylor]: Taking taylor expansion of 0 in lambda1 2.963 * [taylor]: Taking taylor expansion of 0 in lambda2 2.963 * [taylor]: Taking taylor expansion of 0 in lambda1 2.963 * [taylor]: Taking taylor expansion of 0 in lambda2 2.964 * * * [progress]: simplifying candidates 2.965 * [simplify]: Simplifying using # : (/ (exp (* (/ PI 2) (/ PI 2))) (exp (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (log (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (exp (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (* (cbrt (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (cbrt (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))))) (cbrt (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (* (* (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (sqrt (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (sqrt (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (- (pow (* (/ PI 2) (/ PI 2)) 3) (pow (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) 3)) (+ (* (* (/ PI 2) (/ PI 2)) (* (/ PI 2) (/ PI 2))) (+ (* (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (* (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))))) (- (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (- (* (* (/ PI 2) (/ PI 2)) (* (/ PI 2) (/ PI 2))) (* (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (+ (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (+ (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (- (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (+ 1 1) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (+ 1 1) (+ (log (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (log (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (log (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (exp (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (* (* (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (* (cbrt (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (cbrt (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (cbrt (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (* (* (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (sqrt (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (sqrt (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (* (* (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (* (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (* (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (* (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (* (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (* 1 1) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (* (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (* 2 1) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (* (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) 1) (* (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* 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3.105 * * [simplify]: iteration 3 : 5001 enodes (cost 1644 ) 3.111 * [simplify]: Simplified to: (/ (pow (exp (/ PI 2)) (/ (/ PI 2) 2)) (/ (pow (exp 1) (pow (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) 4)) (pow (exp (/ PI 2)) (/ (/ PI 2) 2)))) (log (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (/ (pow (exp (/ PI 2)) (/ (/ PI 2) 2)) (/ (pow (exp 1) (pow (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) 4)) (pow (exp (/ PI 2)) (/ (/ PI 2) 2)))) (* (cbrt (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos 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phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (log (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (pow (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) 3) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (- (* 1/4 (pow PI 2)) (pow (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) 2)) (- (* 1/4 (pow PI 2)) (pow (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) 2)) (- (* 1/4 (pow PI 2)) (pow (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) 2)) (pow (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) 2) (pow (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) 2) (pow (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) 3.112 * * * [progress]: adding candidates to table 3.467 * [progress]: [Phase 3 of 3] Extracting. 3.467 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # # # #) 3.506 * * * [regime-changes]: Trying 5 branch expressions: (phi2 phi1 lambda2 lambda1 R) 3.506 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # # # # # # # # # # # #) 3.651 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # # # # # # # # # # # #) 3.795 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # # # # # # # # # # # # #) 3.939 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # # # # # # # # # # # #) 4.082 * * * * [regimes]: Trying to branch on R from (# # # # # # # # # # # # # # # # # # #) 4.229 * * * [regime]: Found split indices: #