9.262 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.275 * * * [progress]: [2/2] Setting up program. 0.286 * [progress]: [Phase 2 of 3] Improving. 0.287 * [simplify]: Simplifying using # : (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.287 * * [simplify]: iteration 0 : 17 enodes (cost 19 ) 0.289 * * [simplify]: iteration 1 : 26 enodes (cost 19 ) 0.293 * * [simplify]: iteration 2 : 33 enodes (cost 19 ) 0.296 * * [simplify]: iteration 3 : 34 enodes (cost 19 ) 0.300 * * [simplify]: iteration done : 34 enodes (cost 19 ) 0.300 * [simplify]: Simplified to: (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.300 * * [progress]: iteration 1 / 4 0.300 * * * [progress]: picking best candidate 0.306 * * * * [pick]: Picked # 0.306 * * * [progress]: localizing error 0.328 * * * [progress]: generating rewritten candidates 0.328 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 0.333 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.335 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.338 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.345 * * * [progress]: generating series expansions 0.345 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 0.345 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 0.345 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 0.345 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 0.345 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.345 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.345 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.345 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.345 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.345 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.345 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.345 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.345 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.345 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.346 * [taylor]: Taking taylor expansion of (cos (neg lambda2)) in lambda2 0.346 * [taylor]: Taking taylor expansion of (neg lambda2) in lambda2 0.346 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.346 * [taylor]: Taking taylor expansion of (neg (sin (neg lambda2))) in lambda2 0.346 * [taylor]: Taking taylor expansion of (sin (neg lambda2)) in lambda2 0.346 * [taylor]: Taking taylor expansion of (neg lambda2) in lambda2 0.346 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.347 * [taylor]: Taking taylor expansion of (neg (* 1/2 (cos (neg lambda2)))) in lambda2 0.347 * [taylor]: Taking taylor expansion of (* 1/2 (cos (neg lambda2))) in lambda2 0.347 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.347 * [taylor]: Taking taylor expansion of (cos (neg lambda2)) in lambda2 0.347 * [taylor]: Taking taylor expansion of (neg lambda2) in lambda2 0.347 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.347 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 0.347 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.347 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.347 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.347 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.347 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.347 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.347 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.347 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.347 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.348 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.348 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.348 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.348 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.348 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.348 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.348 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.348 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.348 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.348 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.348 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.348 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.348 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.348 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.348 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.348 * [taylor]: Taking taylor expansion of 0 in lambda2 0.348 * [taylor]: Taking taylor expansion of 0 in lambda2 0.348 * [taylor]: Taking taylor expansion of 0 in lambda2 0.348 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 0.348 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.348 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.349 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.349 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.349 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.349 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.349 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.349 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.349 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.349 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.349 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.349 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.349 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.349 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.349 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.349 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.349 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.349 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.349 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.349 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.349 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.349 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.349 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.349 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.349 * [taylor]: Taking taylor expansion of 0 in lambda2 0.349 * [taylor]: Taking taylor expansion of 0 in lambda2 0.349 * [taylor]: Taking taylor expansion of 0 in lambda2 0.350 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.350 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.350 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in lambda2 0.350 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in lambda1 0.350 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in phi2 0.351 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in phi1 0.351 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in phi1 0.351 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in phi2 0.351 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in lambda1 0.351 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in lambda2 0.351 * [taylor]: Taking taylor expansion of 0 in phi2 0.352 * [taylor]: Taking taylor expansion of 0 in lambda1 0.352 * [taylor]: Taking taylor expansion of 0 in lambda2 0.352 * [taylor]: Taking taylor expansion of 0 in lambda1 0.352 * [taylor]: Taking taylor expansion of 0 in lambda2 0.352 * [taylor]: Taking taylor expansion of 0 in lambda2 0.352 * [taylor]: Taking taylor expansion of 0 in phi2 0.352 * [taylor]: Taking taylor expansion of 0 in lambda1 0.352 * [taylor]: Taking taylor expansion of 0 in lambda2 0.352 * [taylor]: Taking taylor expansion of 0 in lambda1 0.352 * [taylor]: Taking taylor expansion of 0 in lambda2 0.352 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.352 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) in lambda2 0.352 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) in lambda1 0.353 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) in phi2 0.353 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) in phi1 0.353 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) in phi1 0.353 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) in phi2 0.354 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) in lambda1 0.354 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) in lambda2 0.354 * [taylor]: Taking taylor expansion of 0 in phi2 0.354 * [taylor]: Taking taylor expansion of 0 in lambda1 0.354 * [taylor]: Taking taylor expansion of 0 in lambda2 0.354 * [taylor]: Taking taylor expansion of 0 in lambda1 0.354 * [taylor]: Taking taylor expansion of 0 in lambda2 0.355 * [taylor]: Taking taylor expansion of 0 in lambda2 0.355 * [taylor]: Taking taylor expansion of 0 in phi2 0.355 * [taylor]: Taking taylor expansion of 0 in lambda1 0.355 * [taylor]: Taking taylor expansion of 0 in lambda2 0.355 * [taylor]: Taking taylor expansion of 0 in lambda1 0.355 * [taylor]: Taking taylor expansion of 0 in lambda2 0.355 * [approximate]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 0.355 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) in lambda2 0.355 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) in lambda1 0.356 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) in phi2 0.356 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) in phi1 0.356 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) in phi1 0.356 * [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 0.357 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (cos (/ -1 phi1)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 0.357 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) in lambda2 0.357 * [taylor]: Taking taylor expansion of 0 in phi2 0.357 * [taylor]: Taking taylor expansion of 0 in lambda1 0.357 * [taylor]: Taking taylor expansion of 0 in lambda2 0.358 * [taylor]: Taking taylor expansion of 0 in lambda1 0.358 * [taylor]: Taking taylor expansion of 0 in lambda2 0.358 * [taylor]: Taking taylor expansion of 0 in lambda2 0.358 * [taylor]: Taking taylor expansion of 0 in phi2 0.358 * [taylor]: Taking taylor expansion of 0 in lambda1 0.358 * [taylor]: Taking taylor expansion of 0 in lambda2 0.358 * [taylor]: Taking taylor expansion of 0 in lambda1 0.358 * [taylor]: Taking taylor expansion of 0 in lambda2 0.358 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.358 * [approximate]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 0.358 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) in R 0.358 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in R 0.358 * [taylor]: Taking taylor expansion of R in R 0.359 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) in lambda2 0.359 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in lambda2 0.359 * [taylor]: Taking taylor expansion of R in lambda2 0.359 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) in lambda1 0.359 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in lambda1 0.359 * [taylor]: Taking taylor expansion of R in lambda1 0.359 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) in phi2 0.359 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in phi2 0.359 * [taylor]: Taking taylor expansion of R in phi2 0.359 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) in phi1 0.359 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in phi1 0.359 * [taylor]: Taking taylor expansion of R in phi1 0.359 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) in phi1 0.359 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in phi1 0.359 * [taylor]: Taking taylor expansion of R in phi1 0.360 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) in phi2 0.360 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in phi2 0.360 * [taylor]: Taking taylor expansion of R in phi2 0.360 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) in lambda1 0.360 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in lambda1 0.360 * [taylor]: Taking taylor expansion of R in lambda1 0.360 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) in lambda2 0.360 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in lambda2 0.360 * [taylor]: Taking taylor expansion of R in lambda2 0.361 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) in R 0.361 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in R 0.361 * [taylor]: Taking taylor expansion of R in R 0.361 * [taylor]: Taking taylor expansion of 0 in phi2 0.361 * [taylor]: Taking taylor expansion of 0 in lambda1 0.361 * [taylor]: Taking taylor expansion of 0 in lambda2 0.361 * [taylor]: Taking taylor expansion of 0 in R 0.361 * [taylor]: Taking taylor expansion of 0 in lambda1 0.361 * [taylor]: Taking taylor expansion of 0 in lambda2 0.361 * [taylor]: Taking taylor expansion of 0 in R 0.362 * [taylor]: Taking taylor expansion of 0 in lambda2 0.362 * [taylor]: Taking taylor expansion of 0 in R 0.362 * [taylor]: Taking taylor expansion of 0 in R 0.362 * [taylor]: Taking taylor expansion of 0 in phi2 0.363 * [taylor]: Taking taylor expansion of 0 in lambda1 0.363 * [taylor]: Taking taylor expansion of 0 in lambda2 0.363 * [taylor]: Taking taylor expansion of 0 in R 0.363 * [taylor]: Taking taylor expansion of 0 in lambda1 0.363 * [taylor]: Taking taylor expansion of 0 in lambda2 0.363 * [taylor]: Taking taylor expansion of 0 in R 0.363 * [taylor]: Taking taylor expansion of 0 in lambda1 0.363 * [taylor]: Taking taylor expansion of 0 in lambda2 0.363 * [taylor]: Taking taylor expansion of 0 in R 0.363 * [taylor]: Taking taylor expansion of 0 in lambda2 0.363 * [taylor]: Taking taylor expansion of 0 in R 0.363 * [taylor]: Taking taylor expansion of 0 in lambda2 0.363 * [taylor]: Taking taylor expansion of 0 in R 0.363 * [taylor]: Taking taylor expansion of 0 in lambda2 0.363 * [taylor]: Taking taylor expansion of 0 in R 0.364 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 0.364 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) R) in R 0.364 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) in R 0.364 * [taylor]: Taking taylor expansion of R in R 0.364 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) R) in lambda2 0.364 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) in lambda2 0.364 * [taylor]: Taking taylor expansion of R in lambda2 0.365 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) R) in lambda1 0.365 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) in lambda1 0.365 * [taylor]: Taking taylor expansion of R in lambda1 0.365 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) R) in phi2 0.365 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) in phi2 0.366 * [taylor]: Taking taylor expansion of R in phi2 0.366 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) R) in phi1 0.366 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) in phi1 0.366 * [taylor]: Taking taylor expansion of R in phi1 0.366 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) R) in phi1 0.366 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) in phi1 0.367 * [taylor]: Taking taylor expansion of R in phi1 0.367 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) R) in phi2 0.367 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) in phi2 0.367 * [taylor]: Taking taylor expansion of R in phi2 0.367 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) R) in lambda1 0.367 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) in lambda1 0.368 * [taylor]: Taking taylor expansion of R in lambda1 0.368 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) R) in lambda2 0.368 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) in lambda2 0.368 * [taylor]: Taking taylor expansion of R in lambda2 0.368 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) R) in R 0.368 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) in R 0.369 * [taylor]: Taking taylor expansion of R in R 0.370 * [taylor]: Taking taylor expansion of 0 in phi2 0.370 * [taylor]: Taking taylor expansion of 0 in lambda1 0.370 * [taylor]: Taking taylor expansion of 0 in lambda2 0.370 * [taylor]: Taking taylor expansion of 0 in R 0.370 * [taylor]: Taking taylor expansion of 0 in lambda1 0.370 * [taylor]: Taking taylor expansion of 0 in lambda2 0.370 * [taylor]: Taking taylor expansion of 0 in R 0.370 * [taylor]: Taking taylor expansion of 0 in lambda2 0.370 * [taylor]: Taking taylor expansion of 0 in R 0.371 * [taylor]: Taking taylor expansion of 0 in R 0.371 * [taylor]: Taking taylor expansion of 0 in phi2 0.371 * [taylor]: Taking taylor expansion of 0 in lambda1 0.371 * [taylor]: Taking taylor expansion of 0 in lambda2 0.371 * [taylor]: Taking taylor expansion of 0 in R 0.371 * [taylor]: Taking taylor expansion of 0 in lambda1 0.371 * [taylor]: Taking taylor expansion of 0 in lambda2 0.371 * [taylor]: Taking taylor expansion of 0 in R 0.372 * [taylor]: Taking taylor expansion of 0 in lambda1 0.372 * [taylor]: Taking taylor expansion of 0 in lambda2 0.372 * [taylor]: Taking taylor expansion of 0 in R 0.372 * [taylor]: Taking taylor expansion of 0 in lambda2 0.372 * [taylor]: Taking taylor expansion of 0 in R 0.372 * [taylor]: Taking taylor expansion of 0 in lambda2 0.372 * [taylor]: Taking taylor expansion of 0 in R 0.372 * [taylor]: Taking taylor expansion of 0 in lambda2 0.372 * [taylor]: Taking taylor expansion of 0 in R 0.372 * [taylor]: Taking taylor expansion of 0 in R 0.372 * [taylor]: Taking taylor expansion of 0 in R 0.372 * [taylor]: Taking taylor expansion of 0 in R 0.372 * [taylor]: Taking taylor expansion of 0 in R 0.373 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 0.373 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) R)) in R 0.373 * [taylor]: Taking taylor expansion of -1 in R 0.373 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) R) in R 0.374 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) in R 0.374 * [taylor]: Taking taylor expansion of R in R 0.374 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) R)) in lambda2 0.374 * [taylor]: Taking taylor expansion of -1 in lambda2 0.374 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) R) in lambda2 0.374 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) in lambda2 0.374 * [taylor]: Taking taylor expansion of R in lambda2 0.375 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) R)) in lambda1 0.375 * [taylor]: Taking taylor expansion of -1 in lambda1 0.375 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) R) in lambda1 0.375 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) in lambda1 0.378 * [taylor]: Taking taylor expansion of R in lambda1 0.378 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) R)) in phi2 0.378 * [taylor]: Taking taylor expansion of -1 in phi2 0.378 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) R) in phi2 0.378 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) in phi2 0.378 * [taylor]: Taking taylor expansion of R in phi2 0.379 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) R)) in phi1 0.379 * [taylor]: Taking taylor expansion of -1 in phi1 0.379 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) R) in phi1 0.379 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) in phi1 0.379 * [taylor]: Taking taylor expansion of R in phi1 0.379 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) R)) in phi1 0.379 * [taylor]: Taking taylor expansion of -1 in phi1 0.379 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) R) in phi1 0.379 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) in phi1 0.379 * [taylor]: Taking taylor expansion of R in phi1 0.380 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) R)) in phi2 0.380 * [taylor]: Taking taylor expansion of -1 in phi2 0.380 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) R) in phi2 0.380 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) in phi2 0.380 * [taylor]: Taking taylor expansion of R in phi2 0.381 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) R)) in lambda1 0.381 * [taylor]: Taking taylor expansion of -1 in lambda1 0.381 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) R) in lambda1 0.381 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) in lambda1 0.381 * [taylor]: Taking taylor expansion of R in lambda1 0.381 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) R)) in lambda2 0.382 * [taylor]: Taking taylor expansion of -1 in lambda2 0.382 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) R) in lambda2 0.382 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) in lambda2 0.382 * [taylor]: Taking taylor expansion of R in lambda2 0.382 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) R)) in R 0.382 * [taylor]: Taking taylor expansion of -1 in R 0.382 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) R) in R 0.382 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) in R 0.383 * [taylor]: Taking taylor expansion of R in R 0.384 * [taylor]: Taking taylor expansion of 0 in phi2 0.384 * [taylor]: Taking taylor expansion of 0 in lambda1 0.384 * [taylor]: Taking taylor expansion of 0 in lambda2 0.384 * [taylor]: Taking taylor expansion of 0 in R 0.384 * [taylor]: Taking taylor expansion of 0 in 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 lambda2 0.385 * [taylor]: Taking taylor expansion of 0 in R 0.386 * [taylor]: Taking taylor expansion of 0 in R 0.387 * [taylor]: Taking taylor expansion of 0 in phi2 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 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 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 0.388 * [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 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 0.390 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.390 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 0.390 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 0.390 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 0.390 * [taylor]: Taking taylor expansion of phi1 in phi2 0.390 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.390 * [taylor]: Taking taylor expansion of phi2 in phi2 0.390 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.390 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.390 * [taylor]: Taking taylor expansion of phi1 in phi1 0.390 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.390 * [taylor]: Taking taylor expansion of phi2 in phi1 0.390 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.390 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.390 * [taylor]: Taking taylor expansion of phi1 in phi1 0.390 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.390 * [taylor]: Taking taylor expansion of phi2 in phi1 0.391 * [taylor]: Taking taylor expansion of 0 in phi2 0.391 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.391 * [taylor]: Taking taylor expansion of phi2 in phi2 0.392 * [taylor]: Taking taylor expansion of 0 in phi2 0.392 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin phi2))) in phi2 0.392 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 0.392 * [taylor]: Taking taylor expansion of 1/6 in phi2 0.392 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.392 * [taylor]: Taking taylor expansion of phi2 in phi2 0.393 * [taylor]: Taking taylor expansion of 0 in phi2 0.393 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 0.394 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.394 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.394 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.394 * [taylor]: Taking taylor expansion of phi1 in phi2 0.394 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.394 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.394 * [taylor]: Taking taylor expansion of phi2 in phi2 0.394 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.394 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.394 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.394 * [taylor]: Taking taylor expansion of phi1 in phi1 0.394 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.394 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.394 * [taylor]: Taking taylor expansion of phi2 in phi1 0.394 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.394 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.394 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.394 * [taylor]: Taking taylor expansion of phi1 in phi1 0.394 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.394 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.394 * [taylor]: Taking taylor expansion of phi2 in phi1 0.394 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.394 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.394 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.394 * [taylor]: Taking taylor expansion of phi1 in phi2 0.395 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.395 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.395 * [taylor]: Taking taylor expansion of phi2 in phi2 0.395 * [taylor]: Taking taylor expansion of 0 in phi2 0.396 * [taylor]: Taking taylor expansion of 0 in phi2 0.397 * [taylor]: Taking taylor expansion of 0 in phi2 0.397 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 0.397 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.397 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.397 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.397 * [taylor]: Taking taylor expansion of -1 in phi2 0.397 * [taylor]: Taking taylor expansion of phi1 in phi2 0.397 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.397 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.397 * [taylor]: Taking taylor expansion of -1 in phi2 0.397 * [taylor]: Taking taylor expansion of phi2 in phi2 0.397 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.397 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.397 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.397 * [taylor]: Taking taylor expansion of -1 in phi1 0.397 * [taylor]: Taking taylor expansion of phi1 in phi1 0.397 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.397 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.398 * [taylor]: Taking taylor expansion of -1 in phi1 0.398 * [taylor]: Taking taylor expansion of phi2 in phi1 0.398 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.398 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.398 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.398 * [taylor]: Taking taylor expansion of -1 in phi1 0.398 * [taylor]: Taking taylor expansion of phi1 in phi1 0.398 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.398 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.398 * [taylor]: Taking taylor expansion of -1 in phi1 0.398 * [taylor]: Taking taylor expansion of phi2 in phi1 0.398 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.398 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.398 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.398 * [taylor]: Taking taylor expansion of -1 in phi2 0.398 * [taylor]: Taking taylor expansion of phi1 in phi2 0.398 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.398 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.398 * [taylor]: Taking taylor expansion of -1 in phi2 0.398 * [taylor]: Taking taylor expansion of phi2 in phi2 0.399 * [taylor]: Taking taylor expansion of 0 in phi2 0.400 * [taylor]: Taking taylor expansion of 0 in phi2 0.401 * [taylor]: Taking taylor expansion of 0 in phi2 0.401 * * * [progress]: simplifying candidates 0.402 * [simplify]: Simplifying using # : (* (cos lambda1) (cos (neg lambda2))) (* (sin lambda1) (sin (neg lambda2))) (* (cos lambda1) (cos (neg lambda2))) (* (sin lambda1) (sin (neg lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)) (log (cos (- lambda1 lambda2))) (exp (cos (- lambda1 lambda2))) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (- (+ (* lambda2 lambda1) 1) (* 1/2 (pow lambda1 2))) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 0.405 * * [simplify]: iteration 0 : 110 enodes (cost 1035 ) 0.418 * * [simplify]: iteration 1 : 201 enodes (cost 1027 ) 0.449 * * [simplify]: iteration 2 : 442 enodes (cost 889 ) 0.531 * * [simplify]: iteration 3 : 843 enodes (cost 887 ) 0.641 * * [simplify]: iteration 4 : 1280 enodes (cost 887 ) 0.796 * * [simplify]: iteration 5 : 2164 enodes (cost 887 ) 1.116 * * [simplify]: iteration 6 : 4677 enodes (cost 887 ) 1.637 * * [simplify]: iteration done : 5000 enodes (cost 887 ) 1.637 * [simplify]: Simplified to: (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (neg lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (neg 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 phi2)) (cos (- lambda1 lambda2))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 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 phi2)) (cos (- lambda1 lambda2))))) 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 phi2)) (cos (- lambda1 lambda2))))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (+ 1 (* lambda1 (- lambda2 (* 1/2 lambda1)))) (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 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) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 1.638 * * * [progress]: adding candidates to table 1.737 * * [progress]: iteration 2 / 4 1.737 * * * [progress]: picking best candidate 1.819 * * * * [pick]: Picked # 1.819 * * * [progress]: localizing error 1.850 * * * [progress]: generating rewritten candidates 1.850 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.851 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.855 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.860 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 2) 1.870 * * * [progress]: generating series expansions 1.870 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.870 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.870 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda2 1.870 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda1 1.871 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi2 1.871 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi1 1.871 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi1 1.872 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi2 1.872 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda1 1.872 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda2 1.873 * [taylor]: Taking taylor expansion of 0 in phi2 1.873 * [taylor]: Taking taylor expansion of 0 in lambda1 1.873 * [taylor]: Taking taylor expansion of 0 in lambda2 1.873 * [taylor]: Taking taylor expansion of 0 in lambda1 1.873 * [taylor]: Taking taylor expansion of 0 in lambda2 1.873 * [taylor]: Taking taylor expansion of 0 in lambda2 1.873 * [taylor]: Taking taylor expansion of 0 in phi2 1.873 * [taylor]: Taking taylor expansion of 0 in lambda1 1.873 * [taylor]: Taking taylor expansion of 0 in lambda2 1.873 * [taylor]: Taking taylor expansion of 0 in lambda1 1.873 * [taylor]: Taking taylor expansion of 0 in lambda2 1.874 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 1.874 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda2 1.874 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda1 1.875 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi2 1.875 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi1 1.875 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi1 1.876 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi2 1.876 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda1 1.877 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda2 1.878 * [taylor]: Taking taylor expansion of 0 in phi2 1.878 * [taylor]: Taking taylor expansion of 0 in lambda1 1.878 * [taylor]: Taking taylor expansion of 0 in lambda2 1.878 * [taylor]: Taking taylor expansion of 0 in lambda1 1.878 * [taylor]: Taking taylor expansion of 0 in lambda2 1.878 * [taylor]: Taking taylor expansion of 0 in lambda2 1.878 * [taylor]: Taking taylor expansion of 0 in phi2 1.878 * [taylor]: Taking taylor expansion of 0 in lambda1 1.878 * [taylor]: Taking taylor expansion of 0 in lambda2 1.878 * [taylor]: Taking taylor expansion of 0 in lambda1 1.878 * [taylor]: Taking taylor expansion of 0 in lambda2 1.879 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.879 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in lambda2 1.879 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in lambda1 1.880 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi2 1.880 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi1 1.881 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi1 1.881 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.881 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 1.882 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.883 * [taylor]: Taking taylor expansion of 0 in phi2 1.883 * [taylor]: Taking taylor expansion of 0 in lambda1 1.883 * [taylor]: Taking taylor expansion of 0 in lambda2 1.883 * [taylor]: Taking taylor expansion of 0 in lambda1 1.883 * [taylor]: Taking taylor expansion of 0 in lambda2 1.883 * [taylor]: Taking taylor expansion of 0 in lambda2 1.883 * [taylor]: Taking taylor expansion of 0 in phi2 1.883 * [taylor]: Taking taylor expansion of 0 in lambda1 1.883 * [taylor]: Taking taylor expansion of 0 in lambda2 1.883 * [taylor]: Taking taylor expansion of 0 in lambda1 1.883 * [taylor]: Taking taylor expansion of 0 in lambda2 1.884 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.884 * [approximate]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 1.884 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) R) in R 1.884 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in R 1.884 * [taylor]: Taking taylor expansion of R in R 1.884 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) R) in lambda2 1.884 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda2 1.885 * [taylor]: Taking taylor expansion of R in lambda2 1.885 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) R) in lambda1 1.885 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda1 1.885 * [taylor]: Taking taylor expansion of R in lambda1 1.885 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) R) in phi2 1.885 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi2 1.885 * [taylor]: Taking taylor expansion of R in phi2 1.885 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) R) in phi1 1.885 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi1 1.886 * [taylor]: Taking taylor expansion of R in phi1 1.886 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) R) in phi1 1.886 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi1 1.886 * [taylor]: Taking taylor expansion of R in phi1 1.886 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) R) in phi2 1.886 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi2 1.887 * [taylor]: Taking taylor expansion of R in phi2 1.887 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) R) in lambda1 1.887 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda1 1.887 * [taylor]: Taking taylor expansion of R in lambda1 1.888 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) R) in lambda2 1.888 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda2 1.888 * [taylor]: Taking taylor expansion of R in lambda2 1.888 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) R) in R 1.888 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in R 1.888 * [taylor]: Taking taylor expansion of R in R 1.889 * [taylor]: Taking taylor expansion of 0 in phi2 1.889 * [taylor]: Taking taylor expansion of 0 in lambda1 1.889 * [taylor]: Taking taylor expansion of 0 in lambda2 1.889 * [taylor]: Taking taylor expansion of 0 in R 1.890 * [taylor]: Taking taylor expansion of 0 in lambda1 1.890 * [taylor]: Taking taylor expansion of 0 in lambda2 1.890 * [taylor]: Taking taylor expansion of 0 in R 1.890 * [taylor]: Taking taylor expansion of 0 in lambda2 1.890 * [taylor]: Taking taylor expansion of 0 in R 1.890 * [taylor]: Taking taylor expansion of 0 in R 1.891 * [taylor]: Taking taylor expansion of 0 in phi2 1.892 * [taylor]: Taking taylor expansion of 0 in lambda1 1.892 * [taylor]: Taking taylor expansion of 0 in lambda2 1.892 * [taylor]: Taking taylor expansion of 0 in R 1.892 * [taylor]: Taking taylor expansion of 0 in lambda1 1.892 * [taylor]: Taking taylor expansion of 0 in lambda2 1.892 * [taylor]: Taking taylor expansion of 0 in R 1.892 * [taylor]: Taking taylor expansion of 0 in lambda1 1.892 * [taylor]: Taking taylor expansion of 0 in lambda2 1.892 * [taylor]: Taking taylor expansion of 0 in R 1.892 * [taylor]: Taking taylor expansion of 0 in lambda2 1.892 * [taylor]: Taking taylor expansion of 0 in R 1.892 * [taylor]: Taking taylor expansion of 0 in lambda2 1.892 * [taylor]: Taking taylor expansion of 0 in R 1.892 * [taylor]: Taking taylor expansion of 0 in lambda2 1.892 * [taylor]: Taking taylor expansion of 0 in R 1.893 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 1.893 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) R) in R 1.893 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in R 1.894 * [taylor]: Taking taylor expansion of R in R 1.894 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) R) in lambda2 1.894 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda2 1.895 * [taylor]: Taking taylor expansion of R in lambda2 1.895 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) R) in lambda1 1.895 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda1 1.895 * [taylor]: Taking taylor expansion of R in lambda1 1.896 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) R) in phi2 1.896 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi2 1.896 * [taylor]: Taking taylor expansion of R in phi2 1.897 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) R) in phi1 1.897 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi1 1.897 * [taylor]: Taking taylor expansion of R in phi1 1.898 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) R) in phi1 1.898 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi1 1.898 * [taylor]: Taking taylor expansion of R in phi1 1.898 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) R) in phi2 1.898 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi2 1.899 * [taylor]: Taking taylor expansion of R in phi2 1.899 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) R) in lambda1 1.899 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda1 1.900 * [taylor]: Taking taylor expansion of R in lambda1 1.900 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) R) in lambda2 1.900 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda2 1.901 * [taylor]: Taking taylor expansion of R in lambda2 1.901 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) R) in R 1.901 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in R 1.902 * [taylor]: Taking taylor expansion of R 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 1.904 * [taylor]: Taking taylor expansion of 0 in lambda1 1.904 * [taylor]: Taking taylor expansion of 0 in lambda2 1.904 * [taylor]: Taking taylor expansion of 0 in R 1.904 * [taylor]: Taking taylor expansion of 0 in lambda2 1.904 * [taylor]: Taking taylor expansion of 0 in R 1.905 * [taylor]: Taking taylor expansion of 0 in R 1.906 * [taylor]: Taking taylor expansion of 0 in phi2 1.906 * [taylor]: Taking taylor expansion of 0 in lambda1 1.906 * [taylor]: Taking taylor expansion of 0 in lambda2 1.906 * [taylor]: Taking taylor expansion of 0 in R 1.906 * [taylor]: Taking taylor expansion of 0 in lambda1 1.906 * [taylor]: Taking taylor expansion of 0 in lambda2 1.906 * [taylor]: Taking taylor expansion of 0 in R 1.906 * [taylor]: Taking taylor expansion of 0 in lambda1 1.906 * [taylor]: Taking taylor expansion of 0 in lambda2 1.906 * [taylor]: Taking taylor expansion of 0 in R 1.906 * [taylor]: Taking taylor expansion of 0 in lambda2 1.906 * [taylor]: Taking taylor expansion of 0 in R 1.906 * [taylor]: Taking taylor expansion of 0 in lambda2 1.906 * [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 1.907 * [taylor]: Taking taylor expansion of 0 in R 1.907 * [taylor]: Taking taylor expansion of 0 in R 1.907 * [taylor]: Taking taylor expansion of 0 in R 1.908 * [taylor]: Taking taylor expansion of 0 in R 1.909 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 1.909 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) R)) in R 1.909 * [taylor]: Taking taylor expansion of -1 in R 1.909 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) R) in R 1.909 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in R 1.910 * [taylor]: Taking taylor expansion of R in R 1.910 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) R)) in lambda2 1.910 * [taylor]: Taking taylor expansion of -1 in lambda2 1.910 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) R) in lambda2 1.910 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in lambda2 1.910 * [taylor]: Taking taylor expansion of R in lambda2 1.911 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) R)) in lambda1 1.911 * [taylor]: Taking taylor expansion of -1 in lambda1 1.911 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) R) in lambda1 1.911 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in lambda1 1.911 * [taylor]: Taking taylor expansion of R in lambda1 1.912 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) R)) in phi2 1.912 * [taylor]: Taking taylor expansion of -1 in phi2 1.912 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) R) in phi2 1.912 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi2 1.912 * [taylor]: Taking taylor expansion of R in phi2 1.913 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) R)) in phi1 1.913 * [taylor]: Taking taylor expansion of -1 in phi1 1.913 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) R) in phi1 1.913 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi1 1.913 * [taylor]: Taking taylor expansion of R in phi1 1.914 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) R)) in phi1 1.914 * [taylor]: Taking taylor expansion of -1 in phi1 1.914 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) R) in phi1 1.914 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi1 1.914 * [taylor]: Taking taylor expansion of R in phi1 1.915 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 1.915 * [taylor]: Taking taylor expansion of -1 in phi2 1.915 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 1.915 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.916 * [taylor]: Taking taylor expansion of R in phi2 1.916 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda1 1.916 * [taylor]: Taking taylor expansion of -1 in lambda1 1.917 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda1 1.917 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 1.917 * [taylor]: Taking taylor expansion of R in lambda1 1.918 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 1.918 * [taylor]: Taking taylor expansion of -1 in lambda2 1.918 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 1.918 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.918 * [taylor]: Taking taylor expansion of R in lambda2 1.919 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in R 1.919 * [taylor]: Taking taylor expansion of -1 in R 1.919 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in R 1.919 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R 1.920 * [taylor]: Taking taylor expansion of R in R 1.922 * [taylor]: Taking taylor expansion of 0 in phi2 1.922 * [taylor]: Taking taylor expansion of 0 in lambda1 1.922 * [taylor]: Taking taylor expansion of 0 in lambda2 1.922 * [taylor]: Taking taylor expansion of 0 in R 1.923 * [taylor]: Taking taylor expansion of 0 in lambda1 1.923 * [taylor]: Taking taylor expansion of 0 in lambda2 1.923 * [taylor]: Taking taylor expansion of 0 in R 1.924 * [taylor]: Taking taylor expansion of 0 in lambda2 1.924 * [taylor]: Taking taylor expansion of 0 in R 1.925 * [taylor]: Taking taylor expansion of 0 in R 1.926 * [taylor]: Taking taylor expansion of 0 in phi2 1.926 * [taylor]: Taking taylor expansion of 0 in lambda1 1.926 * [taylor]: Taking taylor expansion of 0 in lambda2 1.926 * [taylor]: Taking taylor expansion of 0 in R 1.926 * [taylor]: Taking taylor expansion of 0 in lambda1 1.927 * [taylor]: Taking taylor expansion of 0 in lambda2 1.927 * [taylor]: Taking taylor expansion of 0 in R 1.927 * [taylor]: Taking taylor expansion of 0 in lambda1 1.927 * [taylor]: Taking taylor expansion of 0 in lambda2 1.927 * [taylor]: Taking taylor expansion of 0 in R 1.928 * [taylor]: Taking taylor expansion of 0 in lambda2 1.928 * [taylor]: Taking taylor expansion of 0 in R 1.928 * [taylor]: Taking taylor expansion of 0 in lambda2 1.928 * [taylor]: Taking taylor expansion of 0 in R 1.929 * [taylor]: Taking taylor expansion of 0 in lambda2 1.929 * [taylor]: Taking taylor expansion of 0 in R 1.929 * [taylor]: Taking taylor expansion of 0 in R 1.929 * [taylor]: Taking taylor expansion of 0 in R 1.929 * [taylor]: Taking taylor expansion of 0 in R 1.930 * [taylor]: Taking taylor expansion of 0 in R 1.931 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.931 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 1.931 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 1.931 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 1.931 * [taylor]: Taking taylor expansion of phi1 in phi2 1.931 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.931 * [taylor]: Taking taylor expansion of phi2 in phi2 1.931 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.931 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.931 * [taylor]: Taking taylor expansion of phi1 in phi1 1.931 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.931 * [taylor]: Taking taylor expansion of phi2 in phi1 1.931 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.931 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.931 * [taylor]: Taking taylor expansion of phi1 in phi1 1.931 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.931 * [taylor]: Taking taylor expansion of phi2 in phi1 1.932 * [taylor]: Taking taylor expansion of 0 in phi2 1.932 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.932 * [taylor]: Taking taylor expansion of phi2 in phi2 1.932 * [taylor]: Taking taylor expansion of 0 in phi2 1.933 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin phi2))) in phi2 1.933 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 1.933 * [taylor]: Taking taylor expansion of 1/6 in phi2 1.933 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.933 * [taylor]: Taking taylor expansion of phi2 in phi2 1.934 * [taylor]: Taking taylor expansion of 0 in phi2 1.934 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 1.934 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.934 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.934 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.934 * [taylor]: Taking taylor expansion of phi1 in phi2 1.934 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.934 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.934 * [taylor]: Taking taylor expansion of phi2 in phi2 1.934 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.934 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.934 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.934 * [taylor]: Taking taylor expansion of phi1 in phi1 1.935 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.935 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.935 * [taylor]: Taking taylor expansion of phi2 in phi1 1.935 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.935 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.935 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.935 * [taylor]: Taking taylor expansion of phi1 in phi1 1.935 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.935 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.935 * [taylor]: Taking taylor expansion of phi2 in phi1 1.935 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.935 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.935 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.935 * [taylor]: Taking taylor expansion of phi1 in phi2 1.935 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.935 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.935 * [taylor]: Taking taylor expansion of phi2 in phi2 1.936 * [taylor]: Taking taylor expansion of 0 in phi2 1.936 * [taylor]: Taking taylor expansion of 0 in phi2 1.937 * [taylor]: Taking taylor expansion of 0 in phi2 1.938 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 1.938 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.938 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.938 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.938 * [taylor]: Taking taylor expansion of -1 in phi2 1.938 * [taylor]: Taking taylor expansion of phi1 in phi2 1.938 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.938 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.938 * [taylor]: Taking taylor expansion of -1 in phi2 1.938 * [taylor]: Taking taylor expansion of phi2 in phi2 1.938 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.938 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.938 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.938 * [taylor]: Taking taylor expansion of -1 in phi1 1.938 * [taylor]: Taking taylor expansion of phi1 in phi1 1.938 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.938 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.938 * [taylor]: Taking taylor expansion of -1 in phi1 1.938 * [taylor]: Taking taylor expansion of phi2 in phi1 1.938 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.938 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.938 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.938 * [taylor]: Taking taylor expansion of -1 in phi1 1.938 * [taylor]: Taking taylor expansion of phi1 in phi1 1.938 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.938 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.938 * [taylor]: Taking taylor expansion of -1 in phi1 1.938 * [taylor]: Taking taylor expansion of phi2 in phi1 1.939 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.939 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.939 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.939 * [taylor]: Taking taylor expansion of -1 in phi2 1.939 * [taylor]: Taking taylor expansion of phi1 in phi2 1.939 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.939 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.939 * [taylor]: Taking taylor expansion of -1 in phi2 1.939 * [taylor]: Taking taylor expansion of phi2 in phi2 1.939 * [taylor]: Taking taylor expansion of 0 in phi2 1.940 * [taylor]: Taking taylor expansion of 0 in phi2 1.941 * [taylor]: Taking taylor expansion of 0 in phi2 1.941 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 2) 1.942 * [approximate]: Taking taylor expansion of (* (sin lambda2) (sin lambda1)) in (lambda1 lambda2) around 0 1.942 * [taylor]: Taking taylor expansion of (* (sin lambda2) (sin lambda1)) in lambda2 1.942 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.942 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.942 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 1.942 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.942 * [taylor]: Taking taylor expansion of (* (sin lambda2) (sin lambda1)) in lambda1 1.942 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.942 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.942 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.942 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.942 * [taylor]: Taking taylor expansion of (* (sin lambda2) (sin lambda1)) in lambda1 1.942 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.942 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.942 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.942 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.942 * [taylor]: Taking taylor expansion of 0 in lambda2 1.942 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.942 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.943 * [taylor]: Taking taylor expansion of 0 in lambda2 1.943 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin lambda2))) in lambda2 1.943 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 1.943 * [taylor]: Taking taylor expansion of 1/6 in lambda2 1.943 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.943 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.944 * [taylor]: Taking taylor expansion of 0 in lambda2 1.944 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 1.945 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.945 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.945 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.945 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.945 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.945 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.945 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.945 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.945 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.945 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.945 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.945 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.945 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.945 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.945 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.945 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.945 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.945 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.945 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.945 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.945 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.945 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.945 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.945 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.945 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.946 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.946 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.946 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.946 * [taylor]: Taking taylor expansion of 0 in lambda2 1.947 * [taylor]: Taking taylor expansion of 0 in lambda2 1.948 * [taylor]: Taking taylor expansion of 0 in lambda2 1.948 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 1.948 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.948 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.948 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.948 * [taylor]: Taking taylor expansion of -1 in lambda2 1.948 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.948 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.948 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.948 * [taylor]: Taking taylor expansion of -1 in lambda2 1.948 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.948 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.948 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.948 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.948 * [taylor]: Taking taylor expansion of -1 in lambda1 1.948 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.948 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.948 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.948 * [taylor]: Taking taylor expansion of -1 in lambda1 1.948 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.949 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.949 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.949 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.949 * [taylor]: Taking taylor expansion of -1 in lambda1 1.949 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.949 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.949 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.949 * [taylor]: Taking taylor expansion of -1 in lambda1 1.949 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.949 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.949 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.949 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.949 * [taylor]: Taking taylor expansion of -1 in lambda2 1.949 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.949 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.949 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.949 * [taylor]: Taking taylor expansion of -1 in lambda2 1.949 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.950 * [taylor]: Taking taylor expansion of 0 in lambda2 1.950 * [taylor]: Taking taylor expansion of 0 in lambda2 1.951 * [taylor]: Taking taylor expansion of 0 in lambda2 1.954 * * * [progress]: simplifying candidates 1.955 * [simplify]: Simplifying using # : (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2)) (+ (log (sin lambda1)) (log (sin lambda2))) (log (* (sin lambda1) (sin lambda2))) (exp (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))) (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (* (sin lambda1) (sqrt (sin lambda2))) (* (sin lambda1) 1) (* (cbrt (sin lambda1)) (sin lambda2)) (* (sqrt (sin lambda1)) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (* lambda2 lambda1) (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)) 1.960 * * [simplify]: iteration 0 : 128 enodes (cost 1410 ) 1.976 * * [simplify]: iteration 1 : 254 enodes (cost 1365 ) 2.019 * * [simplify]: iteration 2 : 635 enodes (cost 1173 ) 2.155 * * [simplify]: iteration 3 : 1294 enodes (cost 1173 ) 2.342 * * [simplify]: iteration 4 : 1988 enodes (cost 1173 ) 2.607 * * [simplify]: iteration 5 : 3305 enodes (cost 1173 ) 2.966 * * [simplify]: iteration done : 5000 enodes (cost 1173 ) 2.967 * [simplify]: Simplified to: (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2)) (log (* (sin lambda1) (sin lambda2))) (log (* (sin lambda1) (sin lambda2))) (exp (* (sin lambda1) (sin lambda2))) (pow (* (sin lambda1) (sin lambda2)) 3) (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (pow (* (sin lambda1) (sin lambda2)) 3) (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (* (sin lambda1) (sqrt (sin lambda2))) (sin lambda1) (* (cbrt (sin lambda1)) (sin lambda2)) (* (sqrt (sin lambda1)) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) 2.968 * * * [progress]: adding candidates to table 3.071 * * [progress]: iteration 3 / 4 3.072 * * * [progress]: picking best candidate 3.156 * * * * [pick]: Picked # 3.156 * * * [progress]: localizing error 3.190 * * * [progress]: generating rewritten candidates 3.190 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 3.192 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 3.194 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 3.197 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 3.207 * * * [progress]: generating series expansions 3.207 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 3.208 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 3.208 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda2 3.208 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda1 3.208 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi2 3.209 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi1 3.209 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi1 3.209 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi2 3.210 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda1 3.210 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda2 3.211 * [taylor]: Taking taylor expansion of 0 in phi2 3.211 * [taylor]: Taking taylor expansion of 0 in lambda1 3.211 * [taylor]: Taking taylor expansion of 0 in lambda2 3.211 * [taylor]: Taking taylor expansion of 0 in lambda1 3.211 * [taylor]: Taking taylor expansion of 0 in lambda2 3.211 * [taylor]: Taking taylor expansion of 0 in lambda2 3.211 * [taylor]: Taking taylor expansion of 0 in phi2 3.211 * [taylor]: Taking taylor expansion of 0 in lambda1 3.211 * [taylor]: Taking taylor expansion of 0 in lambda2 3.211 * [taylor]: Taking taylor expansion of 0 in lambda1 3.211 * [taylor]: Taking taylor expansion of 0 in lambda2 3.212 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 3.212 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda2 3.212 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda1 3.213 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi2 3.213 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi1 3.213 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi1 3.214 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi2 3.214 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda1 3.215 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda2 3.216 * [taylor]: Taking taylor expansion of 0 in phi2 3.216 * [taylor]: Taking taylor expansion of 0 in lambda1 3.216 * [taylor]: Taking taylor expansion of 0 in lambda2 3.216 * [taylor]: Taking taylor expansion of 0 in lambda1 3.216 * [taylor]: Taking taylor expansion of 0 in lambda2 3.216 * [taylor]: Taking taylor expansion of 0 in lambda2 3.216 * [taylor]: Taking taylor expansion of 0 in phi2 3.216 * [taylor]: Taking taylor expansion of 0 in lambda1 3.216 * [taylor]: Taking taylor expansion of 0 in lambda2 3.216 * [taylor]: Taking taylor expansion of 0 in lambda1 3.216 * [taylor]: Taking taylor expansion of 0 in lambda2 3.217 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 3.217 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in lambda2 3.217 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in lambda1 3.218 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi2 3.218 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi1 3.218 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi1 3.219 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 3.220 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 3.220 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 3.221 * [taylor]: Taking taylor expansion of 0 in phi2 3.221 * [taylor]: Taking taylor expansion of 0 in lambda1 3.221 * [taylor]: Taking taylor expansion of 0 in lambda2 3.221 * [taylor]: Taking taylor expansion of 0 in lambda1 3.221 * [taylor]: Taking taylor expansion of 0 in lambda2 3.221 * [taylor]: Taking taylor expansion of 0 in lambda2 3.221 * [taylor]: Taking taylor expansion of 0 in phi2 3.221 * [taylor]: Taking taylor expansion of 0 in lambda1 3.221 * [taylor]: Taking taylor expansion of 0 in lambda2 3.221 * [taylor]: Taking taylor expansion of 0 in lambda1 3.221 * [taylor]: Taking taylor expansion of 0 in lambda2 3.222 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 3.222 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 3.222 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda2 3.222 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda1 3.223 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi2 3.223 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi1 3.223 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi1 3.224 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi2 3.224 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda1 3.224 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda2 3.225 * [taylor]: Taking taylor expansion of 0 in phi2 3.225 * [taylor]: Taking taylor expansion of 0 in lambda1 3.225 * [taylor]: Taking taylor expansion of 0 in lambda2 3.225 * [taylor]: Taking taylor expansion of 0 in lambda1 3.225 * [taylor]: Taking taylor expansion of 0 in lambda2 3.225 * [taylor]: Taking taylor expansion of 0 in lambda2 3.225 * [taylor]: Taking taylor expansion of 0 in phi2 3.225 * [taylor]: Taking taylor expansion of 0 in lambda1 3.225 * [taylor]: Taking taylor expansion of 0 in lambda2 3.225 * [taylor]: Taking taylor expansion of 0 in lambda1 3.225 * [taylor]: Taking taylor expansion of 0 in lambda2 3.226 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 3.226 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda2 3.226 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda1 3.227 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi2 3.227 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi1 3.228 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi1 3.228 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi2 3.228 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda1 3.229 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda2 3.230 * [taylor]: Taking taylor expansion of 0 in phi2 3.230 * [taylor]: Taking taylor expansion of 0 in lambda1 3.230 * [taylor]: Taking taylor expansion of 0 in lambda2 3.230 * [taylor]: Taking taylor expansion of 0 in lambda1 3.230 * [taylor]: Taking taylor expansion of 0 in lambda2 3.230 * [taylor]: Taking taylor expansion of 0 in lambda2 3.230 * [taylor]: Taking taylor expansion of 0 in phi2 3.230 * [taylor]: Taking taylor expansion of 0 in lambda1 3.230 * [taylor]: Taking taylor expansion of 0 in lambda2 3.230 * [taylor]: Taking taylor expansion of 0 in lambda1 3.230 * [taylor]: Taking taylor expansion of 0 in lambda2 3.231 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 3.231 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in lambda2 3.232 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in lambda1 3.232 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi2 3.232 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi1 3.233 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi1 3.233 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 3.234 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 3.234 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 3.235 * [taylor]: Taking taylor expansion of 0 in phi2 3.235 * [taylor]: Taking taylor expansion of 0 in lambda1 3.235 * [taylor]: Taking taylor expansion of 0 in lambda2 3.235 * [taylor]: Taking taylor expansion of 0 in lambda1 3.235 * [taylor]: Taking taylor expansion of 0 in lambda2 3.235 * [taylor]: Taking taylor expansion of 0 in lambda2 3.235 * [taylor]: Taking taylor expansion of 0 in phi2 3.235 * [taylor]: Taking taylor expansion of 0 in lambda1 3.235 * [taylor]: Taking taylor expansion of 0 in lambda2 3.235 * [taylor]: Taking taylor expansion of 0 in lambda1 3.235 * [taylor]: Taking taylor expansion of 0 in lambda2 3.236 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 3.236 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 3.236 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in lambda2 3.236 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda2 3.237 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in lambda1 3.237 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda1 3.238 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in phi2 3.238 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi2 3.238 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in phi1 3.238 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi1 3.239 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in phi1 3.239 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi1 3.239 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in phi2 3.239 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi2 3.240 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in lambda1 3.240 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda1 3.241 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in lambda2 3.241 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda2 3.242 * [taylor]: Taking taylor expansion of 0 in phi2 3.242 * [taylor]: Taking taylor expansion of 0 in lambda1 3.242 * [taylor]: Taking taylor expansion of 0 in lambda2 3.243 * [taylor]: Taking taylor expansion of 0 in lambda1 3.243 * [taylor]: Taking taylor expansion of 0 in lambda2 3.243 * [taylor]: Taking taylor expansion of 0 in lambda2 3.244 * [taylor]: Taking taylor expansion of 0 in phi2 3.244 * [taylor]: Taking taylor expansion of 0 in lambda1 3.244 * [taylor]: Taking taylor expansion of 0 in lambda2 3.244 * [taylor]: Taking taylor expansion of 0 in lambda1 3.244 * [taylor]: Taking taylor expansion of 0 in lambda2 3.245 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 3.245 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in lambda2 3.245 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda2 3.245 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in lambda1 3.245 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda1 3.246 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in phi2 3.246 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi2 3.247 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in phi1 3.247 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi1 3.248 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in phi1 3.248 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi1 3.249 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in phi2 3.249 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi2 3.250 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in lambda1 3.250 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda1 3.250 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in lambda2 3.250 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda2 3.252 * [taylor]: Taking taylor expansion of 0 in phi2 3.252 * [taylor]: Taking taylor expansion of 0 in lambda1 3.252 * [taylor]: Taking taylor expansion of 0 in lambda2 3.253 * [taylor]: Taking taylor expansion of 0 in lambda1 3.253 * [taylor]: Taking taylor expansion of 0 in lambda2 3.253 * [taylor]: Taking taylor expansion of 0 in lambda2 3.254 * [taylor]: Taking taylor expansion of 0 in phi2 3.254 * [taylor]: Taking taylor expansion of 0 in lambda1 3.254 * [taylor]: Taking taylor expansion of 0 in lambda2 3.254 * [taylor]: Taking taylor expansion of 0 in lambda1 3.254 * [taylor]: Taking taylor expansion of 0 in lambda2 3.255 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))))))) in (phi1 phi2 lambda1 lambda2) around 0 3.255 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))))))) in lambda2 3.255 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in lambda2 3.256 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))))))) in lambda1 3.256 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in lambda1 3.257 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))))))) in phi2 3.257 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi2 3.258 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))))))) in phi1 3.258 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi1 3.259 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))))))) in phi1 3.259 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi1 3.259 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in phi2 3.259 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 3.260 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in lambda1 3.260 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 3.261 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in lambda2 3.261 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 3.263 * [taylor]: Taking taylor expansion of 0 in phi2 3.263 * [taylor]: Taking taylor expansion of 0 in lambda1 3.263 * [taylor]: Taking taylor expansion of 0 in lambda2 3.264 * [taylor]: Taking taylor expansion of 0 in lambda1 3.264 * [taylor]: Taking taylor expansion of 0 in lambda2 3.264 * [taylor]: Taking taylor expansion of 0 in lambda2 3.265 * [taylor]: Taking taylor expansion of 0 in phi2 3.265 * [taylor]: Taking taylor expansion of 0 in lambda1 3.265 * [taylor]: Taking taylor expansion of 0 in lambda2 3.265 * [taylor]: Taking taylor expansion of 0 in lambda1 3.265 * [taylor]: Taking taylor expansion of 0 in lambda2 3.266 * * * * [progress]: [ 4 / 4 ] generating series at (2) 3.266 * [approximate]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 3.266 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) R) in R 3.266 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in R 3.266 * [taylor]: Taking taylor expansion of R in R 3.267 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) R) in lambda2 3.267 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda2 3.267 * [taylor]: Taking taylor expansion of R in lambda2 3.267 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) R) in lambda1 3.267 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda1 3.267 * [taylor]: Taking taylor expansion of R in lambda1 3.267 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) R) in phi2 3.267 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi2 3.268 * [taylor]: Taking taylor expansion of R in phi2 3.268 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) R) in phi1 3.268 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi1 3.268 * [taylor]: Taking taylor expansion of R in phi1 3.268 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) R) in phi1 3.268 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi1 3.268 * [taylor]: Taking taylor expansion of R in phi1 3.269 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) R) in phi2 3.269 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi2 3.269 * [taylor]: Taking taylor expansion of R in phi2 3.269 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) R) in lambda1 3.269 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda1 3.270 * [taylor]: Taking taylor expansion of R in lambda1 3.270 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) R) in lambda2 3.270 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda2 3.270 * [taylor]: Taking taylor expansion of R in lambda2 3.271 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) R) in R 3.271 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in R 3.271 * [taylor]: Taking taylor expansion of R in R 3.272 * [taylor]: Taking taylor expansion of 0 in phi2 3.272 * [taylor]: Taking taylor expansion of 0 in lambda1 3.272 * [taylor]: Taking taylor expansion of 0 in lambda2 3.272 * [taylor]: Taking taylor expansion of 0 in R 3.272 * [taylor]: Taking taylor expansion of 0 in lambda1 3.272 * [taylor]: Taking taylor expansion of 0 in lambda2 3.272 * [taylor]: Taking taylor expansion of 0 in R 3.273 * [taylor]: Taking taylor expansion of 0 in lambda2 3.273 * [taylor]: Taking taylor expansion of 0 in R 3.273 * [taylor]: Taking taylor expansion of 0 in R 3.274 * [taylor]: Taking taylor expansion of 0 in phi2 3.274 * [taylor]: Taking taylor expansion of 0 in lambda1 3.274 * [taylor]: Taking taylor expansion of 0 in lambda2 3.274 * [taylor]: Taking taylor expansion of 0 in R 3.274 * [taylor]: Taking taylor expansion of 0 in lambda1 3.274 * [taylor]: Taking taylor expansion of 0 in lambda2 3.274 * [taylor]: Taking taylor expansion of 0 in R 3.275 * [taylor]: Taking taylor expansion of 0 in lambda1 3.275 * [taylor]: Taking taylor expansion of 0 in lambda2 3.275 * [taylor]: Taking taylor expansion of 0 in R 3.275 * [taylor]: Taking taylor expansion of 0 in lambda2 3.275 * [taylor]: Taking taylor expansion of 0 in R 3.275 * [taylor]: Taking taylor expansion of 0 in lambda2 3.275 * [taylor]: Taking taylor expansion of 0 in R 3.275 * [taylor]: Taking taylor expansion of 0 in lambda2 3.275 * [taylor]: Taking taylor expansion of 0 in R 3.276 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 3.276 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) R) in R 3.276 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in R 3.277 * [taylor]: Taking taylor expansion of R in R 3.277 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) R) in lambda2 3.277 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda2 3.278 * [taylor]: Taking taylor expansion of R in lambda2 3.278 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) R) in lambda1 3.278 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda1 3.278 * [taylor]: Taking taylor expansion of R in lambda1 3.279 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) R) in phi2 3.279 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi2 3.279 * [taylor]: Taking taylor expansion of R in phi2 3.280 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) R) in phi1 3.280 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi1 3.280 * [taylor]: Taking taylor expansion of R in phi1 3.281 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) R) in phi1 3.281 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi1 3.281 * [taylor]: Taking taylor expansion of R in phi1 3.281 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) R) in phi2 3.281 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi2 3.282 * [taylor]: Taking taylor expansion of R in phi2 3.282 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) R) in lambda1 3.282 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda1 3.283 * [taylor]: Taking taylor expansion of R in lambda1 3.283 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) R) in lambda2 3.283 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda2 3.284 * [taylor]: Taking taylor expansion of R in lambda2 3.284 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) R) in R 3.284 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in R 3.287 * [taylor]: Taking taylor expansion of R in R 3.289 * [taylor]: Taking taylor expansion of 0 in phi2 3.289 * [taylor]: Taking taylor expansion of 0 in lambda1 3.289 * [taylor]: Taking taylor expansion of 0 in lambda2 3.289 * [taylor]: Taking taylor expansion of 0 in R 3.290 * [taylor]: Taking taylor expansion of 0 in lambda1 3.290 * [taylor]: Taking taylor expansion of 0 in lambda2 3.290 * [taylor]: Taking taylor expansion of 0 in R 3.290 * [taylor]: Taking taylor expansion of 0 in lambda2 3.290 * [taylor]: Taking taylor expansion of 0 in R 3.291 * [taylor]: Taking taylor expansion of 0 in R 3.291 * [taylor]: Taking taylor expansion of 0 in phi2 3.291 * [taylor]: Taking taylor expansion of 0 in lambda1 3.292 * [taylor]: Taking taylor expansion of 0 in lambda2 3.292 * [taylor]: Taking taylor expansion of 0 in R 3.292 * [taylor]: Taking taylor expansion of 0 in lambda1 3.292 * [taylor]: Taking taylor expansion of 0 in lambda2 3.292 * [taylor]: Taking taylor expansion of 0 in R 3.292 * [taylor]: Taking taylor expansion of 0 in lambda1 3.292 * [taylor]: Taking taylor expansion of 0 in lambda2 3.292 * [taylor]: Taking taylor expansion of 0 in R 3.292 * [taylor]: Taking taylor expansion of 0 in lambda2 3.292 * [taylor]: Taking taylor expansion of 0 in R 3.292 * [taylor]: Taking taylor expansion of 0 in lambda2 3.292 * [taylor]: Taking taylor expansion of 0 in R 3.293 * [taylor]: Taking taylor expansion of 0 in lambda2 3.293 * [taylor]: Taking taylor expansion of 0 in R 3.293 * [taylor]: Taking taylor expansion of 0 in R 3.293 * [taylor]: Taking taylor expansion of 0 in R 3.293 * [taylor]: Taking taylor expansion of 0 in R 3.293 * [taylor]: Taking taylor expansion of 0 in R 3.295 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 3.295 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) R)) in R 3.295 * [taylor]: Taking taylor expansion of -1 in R 3.295 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) R) in R 3.295 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in R 3.296 * [taylor]: Taking taylor expansion of R in R 3.296 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) R)) in lambda2 3.296 * [taylor]: Taking taylor expansion of -1 in lambda2 3.296 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) R) in lambda2 3.296 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in lambda2 3.297 * [taylor]: Taking taylor expansion of R in lambda2 3.297 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) R)) in lambda1 3.297 * [taylor]: Taking taylor expansion of -1 in lambda1 3.297 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) R) in lambda1 3.297 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in lambda1 3.298 * [taylor]: Taking taylor expansion of R in lambda1 3.298 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) R)) in phi2 3.298 * [taylor]: Taking taylor expansion of -1 in phi2 3.298 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) R) in phi2 3.298 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi2 3.299 * [taylor]: Taking taylor expansion of R in phi2 3.299 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) R)) in phi1 3.299 * [taylor]: Taking taylor expansion of -1 in phi1 3.299 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) R) in phi1 3.299 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi1 3.300 * [taylor]: Taking taylor expansion of R in phi1 3.300 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) R)) in phi1 3.300 * [taylor]: Taking taylor expansion of -1 in phi1 3.300 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) R) in phi1 3.300 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi1 3.301 * [taylor]: Taking taylor expansion of R in phi1 3.302 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 3.302 * [taylor]: Taking taylor expansion of -1 in phi2 3.302 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 3.302 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 3.302 * [taylor]: Taking taylor expansion of R in phi2 3.303 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda1 3.303 * [taylor]: Taking taylor expansion of -1 in lambda1 3.303 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda1 3.303 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 3.304 * [taylor]: Taking taylor expansion of R in lambda1 3.304 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 3.305 * [taylor]: Taking taylor expansion of -1 in lambda2 3.305 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 3.305 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 3.305 * [taylor]: Taking taylor expansion of R in lambda2 3.306 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in R 3.306 * [taylor]: Taking taylor expansion of -1 in R 3.306 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in R 3.306 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R 3.306 * [taylor]: Taking taylor expansion of R in R 3.309 * [taylor]: Taking taylor expansion of 0 in phi2 3.309 * [taylor]: Taking taylor expansion of 0 in lambda1 3.309 * [taylor]: Taking taylor expansion of 0 in lambda2 3.309 * [taylor]: Taking taylor expansion of 0 in R 3.310 * [taylor]: Taking taylor expansion of 0 in lambda1 3.310 * [taylor]: Taking taylor expansion of 0 in lambda2 3.310 * [taylor]: Taking taylor expansion of 0 in R 3.311 * [taylor]: Taking taylor expansion of 0 in lambda2 3.311 * [taylor]: Taking taylor expansion of 0 in R 3.312 * [taylor]: Taking taylor expansion of 0 in R 3.314 * [taylor]: Taking taylor expansion of 0 in phi2 3.314 * [taylor]: Taking taylor expansion of 0 in lambda1 3.314 * [taylor]: Taking taylor expansion of 0 in lambda2 3.314 * [taylor]: Taking taylor expansion of 0 in R 3.314 * [taylor]: Taking taylor expansion of 0 in lambda1 3.314 * [taylor]: Taking taylor expansion of 0 in lambda2 3.314 * [taylor]: Taking taylor expansion of 0 in R 3.315 * [taylor]: Taking taylor expansion of 0 in lambda1 3.315 * [taylor]: Taking taylor expansion of 0 in lambda2 3.315 * [taylor]: Taking taylor expansion of 0 in R 3.315 * [taylor]: Taking taylor expansion of 0 in lambda2 3.315 * [taylor]: Taking taylor expansion of 0 in R 3.315 * [taylor]: Taking taylor expansion of 0 in lambda2 3.315 * [taylor]: Taking taylor expansion of 0 in R 3.316 * [taylor]: Taking taylor expansion of 0 in lambda2 3.316 * [taylor]: Taking taylor expansion of 0 in R 3.316 * [taylor]: Taking taylor expansion of 0 in R 3.317 * [taylor]: Taking taylor expansion of 0 in R 3.317 * [taylor]: Taking taylor expansion of 0 in R 3.318 * [taylor]: Taking taylor expansion of 0 in R 3.319 * * * [progress]: simplifying candidates 3.321 * [simplify]: Simplifying using # : (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log 1) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (/ PI 2))) (log (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (log (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (exp 1)) (log (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (exp (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp 1) (exp (/ PI 2)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (* (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (+ (log (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log R)) (log (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (exp (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (* (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (* (* R R) R)) (* (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (* (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (sqrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (sqrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt R) (cbrt R))) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt R)) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) 1) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (* (log (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R) (* (log (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R) (* (log (exp 1)) R) (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R) (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) R) 3.327 * * [simplify]: iteration 0 : 95 enodes (cost 2374 ) 3.338 * * [simplify]: iteration 1 : 167 enodes (cost 2205 ) 3.364 * * [simplify]: iteration 2 : 358 enodes (cost 1929 ) 3.426 * * [simplify]: iteration 3 : 655 enodes (cost 1929 ) 3.509 * * [simplify]: iteration 4 : 908 enodes (cost 1929 ) 3.644 * * [simplify]: iteration 5 : 1763 enodes (cost 1927 ) 4.031 * * [simplify]: iteration done : 5000 enodes (cost 1927 ) 4.032 * [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))))))) (* 2 (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (/ (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 2) (/ (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 2) 0 (acos (+ (* (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)))))) (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)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 1 (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))))))) (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) E (sqrt (exp PI)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (exp (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (pow (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 3) (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (pow (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (pow (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 3) (* (cbrt (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (pow (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 3) (sqrt (* 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)))))))) (* (sqrt R) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (sqrt R) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (* (sqrt R) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* R (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)))))))) R) (* R (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* R (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 4.033 * * * [progress]: adding candidates to table 4.112 * * [progress]: iteration 4 / 4 4.112 * * * [progress]: picking best candidate 4.202 * * * * [pick]: Picked # 4.202 * * * [progress]: localizing error 4.239 * * * [progress]: generating rewritten candidates 4.239 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 4.247 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 2) 4.249 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 4.257 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 4.268 * * * [progress]: generating series expansions 4.268 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 4.268 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 4.268 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in lambda2 4.268 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 4.268 * [taylor]: Taking taylor expansion of 1/2 in lambda2 4.268 * [taylor]: Taking taylor expansion of PI in lambda2 4.268 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda2 4.268 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in lambda1 4.268 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 4.268 * [taylor]: Taking taylor expansion of 1/2 in lambda1 4.268 * [taylor]: Taking taylor expansion of PI in lambda1 4.269 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda1 4.269 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in phi2 4.269 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 4.269 * [taylor]: Taking taylor expansion of 1/2 in phi2 4.269 * [taylor]: Taking taylor expansion of PI in phi2 4.269 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi2 4.269 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in phi1 4.269 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 4.269 * [taylor]: Taking taylor expansion of 1/2 in phi1 4.269 * [taylor]: Taking taylor expansion of PI in phi1 4.269 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi1 4.270 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in phi1 4.270 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 4.270 * [taylor]: Taking taylor expansion of 1/2 in phi1 4.270 * [taylor]: Taking taylor expansion of PI in phi1 4.270 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi1 4.271 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in phi2 4.271 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 4.271 * [taylor]: Taking taylor expansion of 1/2 in phi2 4.271 * [taylor]: Taking taylor expansion of PI in phi2 4.271 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi2 4.272 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in lambda1 4.272 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 4.272 * [taylor]: Taking taylor expansion of 1/2 in lambda1 4.272 * [taylor]: Taking taylor expansion of PI in lambda1 4.272 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda1 4.273 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in lambda2 4.273 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 4.273 * [taylor]: Taking taylor expansion of 1/2 in lambda2 4.273 * [taylor]: Taking taylor expansion of PI in lambda2 4.273 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda2 4.274 * [taylor]: Taking taylor expansion of 0 in phi2 4.274 * [taylor]: Taking taylor expansion of 0 in lambda1 4.274 * [taylor]: Taking taylor expansion of 0 in lambda2 4.274 * [taylor]: Taking taylor expansion of 0 in lambda1 4.274 * [taylor]: Taking taylor expansion of 0 in lambda2 4.274 * [taylor]: Taking taylor expansion of 0 in lambda2 4.274 * [taylor]: Taking taylor expansion of 0 in phi2 4.274 * [taylor]: Taking taylor expansion of 0 in lambda1 4.275 * [taylor]: Taking taylor expansion of 0 in lambda2 4.275 * [taylor]: Taking taylor expansion of 0 in lambda1 4.275 * [taylor]: Taking taylor expansion of 0 in lambda2 4.275 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 4.275 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in lambda2 4.275 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 4.275 * [taylor]: Taking taylor expansion of 1/2 in lambda2 4.275 * [taylor]: Taking taylor expansion of PI in lambda2 4.275 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda2 4.279 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in lambda1 4.279 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 4.279 * [taylor]: Taking taylor expansion of 1/2 in lambda1 4.279 * [taylor]: Taking taylor expansion of PI in lambda1 4.279 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda1 4.279 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in phi2 4.279 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 4.279 * [taylor]: Taking taylor expansion of 1/2 in phi2 4.279 * [taylor]: Taking taylor expansion of PI in phi2 4.279 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi2 4.280 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in phi1 4.280 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 4.280 * [taylor]: Taking taylor expansion of 1/2 in phi1 4.280 * [taylor]: Taking taylor expansion of PI in phi1 4.280 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi1 4.280 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in phi1 4.280 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 4.280 * [taylor]: Taking taylor expansion of 1/2 in phi1 4.280 * [taylor]: Taking taylor expansion of PI in phi1 4.280 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi1 4.282 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in phi2 4.282 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 4.282 * [taylor]: Taking taylor expansion of 1/2 in phi2 4.282 * [taylor]: Taking taylor expansion of PI in phi2 4.282 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi2 4.283 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in lambda1 4.283 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 4.283 * [taylor]: Taking taylor expansion of 1/2 in lambda1 4.283 * [taylor]: Taking taylor expansion of PI in lambda1 4.283 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda1 4.284 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in lambda2 4.284 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 4.284 * [taylor]: Taking taylor expansion of 1/2 in lambda2 4.284 * [taylor]: Taking taylor expansion of PI in lambda2 4.284 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda2 4.286 * [taylor]: Taking taylor expansion of 0 in phi2 4.286 * [taylor]: Taking taylor expansion of 0 in lambda1 4.286 * [taylor]: Taking taylor expansion of 0 in lambda2 4.286 * [taylor]: Taking taylor expansion of 0 in lambda1 4.286 * [taylor]: Taking taylor expansion of 0 in lambda2 4.286 * [taylor]: Taking taylor expansion of 0 in lambda2 4.287 * [taylor]: Taking taylor expansion of 0 in phi2 4.287 * [taylor]: Taking taylor expansion of 0 in lambda1 4.287 * [taylor]: Taking taylor expansion of 0 in lambda2 4.287 * [taylor]: Taking taylor expansion of 0 in lambda1 4.287 * [taylor]: Taking taylor expansion of 0 in lambda2 4.288 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))))))) in (phi1 phi2 lambda1 lambda2) around 0 4.288 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))))))) in lambda2 4.288 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 4.288 * [taylor]: Taking taylor expansion of 1/2 in lambda2 4.288 * [taylor]: Taking taylor expansion of PI in lambda2 4.288 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in lambda2 4.288 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))))))) in lambda1 4.288 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 4.288 * [taylor]: Taking taylor expansion of 1/2 in lambda1 4.288 * [taylor]: Taking taylor expansion of PI in lambda1 4.288 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in lambda1 4.289 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))))))) in phi2 4.289 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 4.289 * [taylor]: Taking taylor expansion of 1/2 in phi2 4.289 * [taylor]: Taking taylor expansion of PI in phi2 4.289 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi2 4.289 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))))))) in phi1 4.289 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 4.289 * [taylor]: Taking taylor expansion of 1/2 in phi1 4.289 * [taylor]: Taking taylor expansion of PI in phi1 4.289 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi1 4.290 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))))))) in phi1 4.290 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 4.290 * [taylor]: Taking taylor expansion of 1/2 in phi1 4.290 * [taylor]: Taking taylor expansion of PI in phi1 4.290 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi1 4.291 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2 4.291 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 4.291 * [taylor]: Taking taylor expansion of 1/2 in phi2 4.291 * [taylor]: Taking taylor expansion of PI in phi2 4.291 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 4.292 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in lambda1 4.292 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 4.293 * [taylor]: Taking taylor expansion of 1/2 in lambda1 4.293 * [taylor]: Taking taylor expansion of PI in lambda1 4.293 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 4.294 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2 4.294 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 4.294 * [taylor]: Taking taylor expansion of 1/2 in lambda2 4.294 * [taylor]: Taking taylor expansion of PI in lambda2 4.294 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 4.296 * [taylor]: Taking taylor expansion of 0 in phi2 4.296 * [taylor]: Taking taylor expansion of 0 in lambda1 4.296 * [taylor]: Taking taylor expansion of 0 in lambda2 4.296 * [taylor]: Taking taylor expansion of 0 in lambda1 4.296 * [taylor]: Taking taylor expansion of 0 in lambda2 4.296 * [taylor]: Taking taylor expansion of 0 in lambda2 4.296 * [taylor]: Taking taylor expansion of 0 in phi2 4.296 * [taylor]: Taking taylor expansion of 0 in lambda1 4.296 * [taylor]: Taking taylor expansion of 0 in lambda2 4.296 * [taylor]: Taking taylor expansion of 0 in lambda1 4.296 * [taylor]: Taking taylor expansion of 0 in lambda2 4.297 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 2) 4.297 * [approximate]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 4.297 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda2 4.297 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda1 4.298 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi2 4.298 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi1 4.298 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi1 4.299 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi2 4.299 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda1 4.299 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda2 4.300 * [taylor]: Taking taylor expansion of 0 in phi2 4.300 * [taylor]: Taking taylor expansion of 0 in lambda1 4.300 * [taylor]: Taking taylor expansion of 0 in lambda2 4.300 * [taylor]: Taking taylor expansion of 0 in lambda1 4.300 * [taylor]: Taking taylor expansion of 0 in lambda2 4.300 * [taylor]: Taking taylor expansion of 0 in lambda2 4.300 * [taylor]: Taking taylor expansion of 0 in phi2 4.300 * [taylor]: Taking taylor expansion of 0 in lambda1 4.300 * [taylor]: Taking taylor expansion of 0 in lambda2 4.300 * [taylor]: Taking taylor expansion of 0 in lambda1 4.300 * [taylor]: Taking taylor expansion of 0 in lambda2 4.301 * [approximate]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 4.301 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda2 4.301 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda1 4.302 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi2 4.302 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi1 4.302 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi1 4.303 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi2 4.303 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda1 4.304 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda2 4.305 * [taylor]: Taking taylor expansion of 0 in phi2 4.305 * [taylor]: Taking taylor expansion of 0 in lambda1 4.305 * [taylor]: Taking taylor expansion of 0 in lambda2 4.305 * [taylor]: Taking taylor expansion of 0 in lambda1 4.305 * [taylor]: Taking taylor expansion of 0 in lambda2 4.305 * [taylor]: Taking taylor expansion of 0 in lambda2 4.305 * [taylor]: Taking taylor expansion of 0 in phi2 4.305 * [taylor]: Taking taylor expansion of 0 in lambda1 4.305 * [taylor]: Taking taylor expansion of 0 in lambda2 4.305 * [taylor]: Taking taylor expansion of 0 in lambda1 4.305 * [taylor]: Taking taylor expansion of 0 in lambda2 4.306 * [approximate]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 4.306 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in lambda2 4.306 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in lambda1 4.307 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi2 4.307 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi1 4.308 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi1 4.308 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 4.308 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 4.309 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 4.310 * [taylor]: Taking taylor expansion of 0 in phi2 4.310 * [taylor]: Taking taylor expansion of 0 in lambda1 4.310 * [taylor]: Taking taylor expansion of 0 in lambda2 4.310 * [taylor]: Taking taylor expansion of 0 in lambda1 4.310 * [taylor]: Taking taylor expansion of 0 in lambda2 4.310 * [taylor]: Taking taylor expansion of 0 in lambda2 4.310 * [taylor]: Taking taylor expansion of 0 in phi2 4.310 * [taylor]: Taking taylor expansion of 0 in lambda1 4.310 * [taylor]: Taking taylor expansion of 0 in lambda2 4.310 * [taylor]: Taking taylor expansion of 0 in lambda1 4.310 * [taylor]: Taking taylor expansion of 0 in lambda2 4.311 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 4.311 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 4.311 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in lambda2 4.311 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 4.311 * [taylor]: Taking taylor expansion of 1/2 in lambda2 4.311 * [taylor]: Taking taylor expansion of PI in lambda2 4.311 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda2 4.311 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in lambda1 4.312 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 4.312 * [taylor]: Taking taylor expansion of 1/2 in lambda1 4.312 * [taylor]: Taking taylor expansion of PI in lambda1 4.312 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda1 4.312 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in phi2 4.312 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 4.312 * [taylor]: Taking taylor expansion of 1/2 in phi2 4.312 * [taylor]: Taking taylor expansion of PI in phi2 4.312 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi2 4.312 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in phi1 4.312 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 4.312 * [taylor]: Taking taylor expansion of 1/2 in phi1 4.312 * [taylor]: Taking taylor expansion of PI in phi1 4.312 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi1 4.313 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in phi1 4.313 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 4.313 * [taylor]: Taking taylor expansion of 1/2 in phi1 4.313 * [taylor]: Taking taylor expansion of PI in phi1 4.313 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi1 4.314 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in phi2 4.314 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 4.314 * [taylor]: Taking taylor expansion of 1/2 in phi2 4.314 * [taylor]: Taking taylor expansion of PI in phi2 4.314 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi2 4.315 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in lambda1 4.315 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 4.315 * [taylor]: Taking taylor expansion of 1/2 in lambda1 4.315 * [taylor]: Taking taylor expansion of PI in lambda1 4.315 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda1 4.316 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in lambda2 4.316 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 4.316 * [taylor]: Taking taylor expansion of 1/2 in lambda2 4.316 * [taylor]: Taking taylor expansion of PI in lambda2 4.316 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda2 4.317 * [taylor]: Taking taylor expansion of 0 in phi2 4.317 * [taylor]: Taking taylor expansion of 0 in lambda1 4.317 * [taylor]: Taking taylor expansion of 0 in lambda2 4.317 * [taylor]: Taking taylor expansion of 0 in lambda1 4.317 * [taylor]: Taking taylor expansion of 0 in lambda2 4.317 * [taylor]: Taking taylor expansion of 0 in lambda2 4.317 * [taylor]: Taking taylor expansion of 0 in phi2 4.317 * [taylor]: Taking taylor expansion of 0 in lambda1 4.317 * [taylor]: Taking taylor expansion of 0 in lambda2 4.317 * [taylor]: Taking taylor expansion of 0 in lambda1 4.317 * [taylor]: Taking taylor expansion of 0 in lambda2 4.318 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 4.318 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in lambda2 4.318 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 4.318 * [taylor]: Taking taylor expansion of 1/2 in lambda2 4.318 * [taylor]: Taking taylor expansion of PI in lambda2 4.318 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda2 4.319 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in lambda1 4.319 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 4.319 * [taylor]: Taking taylor expansion of 1/2 in lambda1 4.319 * [taylor]: Taking taylor expansion of PI in lambda1 4.319 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda1 4.319 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in phi2 4.319 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 4.319 * [taylor]: Taking taylor expansion of 1/2 in phi2 4.319 * [taylor]: Taking taylor expansion of PI in phi2 4.319 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi2 4.320 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in phi1 4.320 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 4.320 * [taylor]: Taking taylor expansion of 1/2 in phi1 4.320 * [taylor]: Taking taylor expansion of PI in phi1 4.320 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi1 4.320 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in phi1 4.320 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 4.320 * [taylor]: Taking taylor expansion of 1/2 in phi1 4.320 * [taylor]: Taking taylor expansion of PI in phi1 4.320 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi1 4.322 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in phi2 4.322 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 4.322 * [taylor]: Taking taylor expansion of 1/2 in phi2 4.322 * [taylor]: Taking taylor expansion of PI in phi2 4.322 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi2 4.323 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in lambda1 4.323 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 4.323 * [taylor]: Taking taylor expansion of 1/2 in lambda1 4.323 * [taylor]: Taking taylor expansion of PI in lambda1 4.323 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda1 4.324 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in lambda2 4.324 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 4.324 * [taylor]: Taking taylor expansion of 1/2 in lambda2 4.324 * [taylor]: Taking taylor expansion of PI in lambda2 4.324 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda2 4.326 * [taylor]: Taking taylor expansion of 0 in phi2 4.326 * [taylor]: Taking taylor expansion of 0 in lambda1 4.326 * [taylor]: Taking taylor expansion of 0 in lambda2 4.326 * [taylor]: Taking taylor expansion of 0 in lambda1 4.326 * [taylor]: Taking taylor expansion of 0 in lambda2 4.326 * [taylor]: Taking taylor expansion of 0 in lambda2 4.326 * [taylor]: Taking taylor expansion of 0 in phi2 4.326 * [taylor]: Taking taylor expansion of 0 in lambda1 4.326 * [taylor]: Taking taylor expansion of 0 in lambda2 4.326 * [taylor]: Taking taylor expansion of 0 in lambda1 4.326 * [taylor]: Taking taylor expansion of 0 in lambda2 4.327 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))))))) in (phi1 phi2 lambda1 lambda2) around 0 4.328 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))))))) in lambda2 4.328 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 4.328 * [taylor]: Taking taylor expansion of 1/2 in lambda2 4.328 * [taylor]: Taking taylor expansion of PI in lambda2 4.328 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in lambda2 4.328 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))))))) in lambda1 4.328 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 4.328 * [taylor]: Taking taylor expansion of 1/2 in lambda1 4.328 * [taylor]: Taking taylor expansion of PI in lambda1 4.328 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in lambda1 4.328 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))))))) in phi2 4.329 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 4.329 * [taylor]: Taking taylor expansion of 1/2 in phi2 4.329 * [taylor]: Taking taylor expansion of PI in phi2 4.329 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi2 4.329 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))))))) in phi1 4.329 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 4.329 * [taylor]: Taking taylor expansion of 1/2 in phi1 4.329 * [taylor]: Taking taylor expansion of PI in phi1 4.329 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi1 4.329 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))))))) in phi1 4.330 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 4.330 * [taylor]: Taking taylor expansion of 1/2 in phi1 4.330 * [taylor]: Taking taylor expansion of PI in phi1 4.330 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi1 4.331 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2 4.331 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 4.331 * [taylor]: Taking taylor expansion of 1/2 in phi2 4.331 * [taylor]: Taking taylor expansion of PI in phi2 4.331 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 4.332 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in lambda1 4.332 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 4.332 * [taylor]: Taking taylor expansion of 1/2 in lambda1 4.332 * [taylor]: Taking taylor expansion of PI in lambda1 4.332 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 4.333 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2 4.333 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 4.333 * [taylor]: Taking taylor expansion of 1/2 in lambda2 4.333 * [taylor]: Taking taylor expansion of PI in lambda2 4.333 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 4.335 * [taylor]: Taking taylor expansion of 0 in phi2 4.335 * [taylor]: Taking taylor expansion of 0 in lambda1 4.335 * [taylor]: Taking taylor expansion of 0 in lambda2 4.335 * [taylor]: Taking taylor expansion of 0 in lambda1 4.335 * [taylor]: Taking taylor expansion of 0 in lambda2 4.336 * [taylor]: Taking taylor expansion of 0 in lambda2 4.336 * [taylor]: Taking taylor expansion of 0 in phi2 4.336 * [taylor]: Taking taylor expansion of 0 in lambda1 4.336 * [taylor]: Taking taylor expansion of 0 in lambda2 4.336 * [taylor]: Taking taylor expansion of 0 in lambda1 4.336 * [taylor]: Taking taylor expansion of 0 in lambda2 4.336 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 4.337 * [approximate]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))))) in (phi1 phi2 lambda1 lambda2) around 0 4.337 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))))) in lambda2 4.337 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in lambda2 4.337 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 4.337 * [taylor]: Taking taylor expansion of 1/2 in lambda2 4.337 * [taylor]: Taking taylor expansion of PI in lambda2 4.337 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda2 4.338 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))))) in lambda1 4.338 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in lambda1 4.338 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 4.338 * [taylor]: Taking taylor expansion of 1/2 in lambda1 4.338 * [taylor]: Taking taylor expansion of PI in lambda1 4.338 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda1 4.339 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))))) in phi2 4.339 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in phi2 4.339 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 4.339 * [taylor]: Taking taylor expansion of 1/2 in phi2 4.340 * [taylor]: Taking taylor expansion of PI in phi2 4.340 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi2 4.341 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))))) in phi1 4.341 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in phi1 4.341 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 4.341 * [taylor]: Taking taylor expansion of 1/2 in phi1 4.341 * [taylor]: Taking taylor expansion of PI in phi1 4.341 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi1 4.342 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))))) in phi1 4.342 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in phi1 4.342 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 4.342 * [taylor]: Taking taylor expansion of 1/2 in phi1 4.342 * [taylor]: Taking taylor expansion of PI in phi1 4.342 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi1 4.343 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))))) in phi2 4.343 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in phi2 4.343 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 4.343 * [taylor]: Taking taylor expansion of 1/2 in phi2 4.343 * [taylor]: Taking taylor expansion of PI in phi2 4.343 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi2 4.345 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))))) in lambda1 4.345 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in lambda1 4.345 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 4.345 * [taylor]: Taking taylor expansion of 1/2 in lambda1 4.345 * [taylor]: Taking taylor expansion of PI in lambda1 4.345 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda1 4.346 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))))) in lambda2 4.346 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in lambda2 4.346 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 4.346 * [taylor]: Taking taylor expansion of 1/2 in lambda2 4.346 * [taylor]: Taking taylor expansion of PI in lambda2 4.346 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda2 4.348 * [taylor]: Taking taylor expansion of 0 in phi2 4.348 * [taylor]: Taking taylor expansion of 0 in lambda1 4.348 * [taylor]: Taking taylor expansion of 0 in lambda2 4.349 * [taylor]: Taking taylor expansion of 0 in lambda1 4.349 * [taylor]: Taking taylor expansion of 0 in lambda2 4.349 * [taylor]: Taking taylor expansion of 0 in lambda2 4.350 * [taylor]: Taking taylor expansion of 0 in phi2 4.350 * [taylor]: Taking taylor expansion of 0 in lambda1 4.350 * [taylor]: Taking taylor expansion of 0 in lambda2 4.350 * [taylor]: Taking taylor expansion of 0 in lambda1 4.350 * [taylor]: Taking taylor expansion of 0 in lambda2 4.351 * [approximate]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 4.351 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))))) in lambda2 4.351 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in lambda2 4.351 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 4.351 * [taylor]: Taking taylor expansion of 1/2 in lambda2 4.351 * [taylor]: Taking taylor expansion of PI in lambda2 4.351 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda2 4.353 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))))) in lambda1 4.353 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in lambda1 4.353 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 4.353 * [taylor]: Taking taylor expansion of 1/2 in lambda1 4.353 * [taylor]: Taking taylor expansion of PI in lambda1 4.353 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda1 4.354 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))))) in phi2 4.354 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in phi2 4.354 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 4.354 * [taylor]: Taking taylor expansion of 1/2 in phi2 4.354 * [taylor]: Taking taylor expansion of PI in phi2 4.354 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi2 4.356 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))))) in phi1 4.356 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in phi1 4.356 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 4.356 * [taylor]: Taking taylor expansion of 1/2 in phi1 4.356 * [taylor]: Taking taylor expansion of PI in phi1 4.356 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi1 4.358 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))))) in phi1 4.358 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in phi1 4.358 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 4.358 * [taylor]: Taking taylor expansion of 1/2 in phi1 4.358 * [taylor]: Taking taylor expansion of PI in phi1 4.358 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi1 4.362 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))))) in phi2 4.362 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in phi2 4.362 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 4.362 * [taylor]: Taking taylor expansion of 1/2 in phi2 4.362 * [taylor]: Taking taylor expansion of PI in phi2 4.362 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi2 4.364 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))))) in lambda1 4.364 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in lambda1 4.364 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 4.364 * [taylor]: Taking taylor expansion of 1/2 in lambda1 4.364 * [taylor]: Taking taylor expansion of PI in lambda1 4.364 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda1 4.365 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))))) in lambda2 4.365 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in lambda2 4.365 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 4.365 * [taylor]: Taking taylor expansion of 1/2 in lambda2 4.365 * [taylor]: Taking taylor expansion of PI in lambda2 4.365 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda2 4.368 * [taylor]: Taking taylor expansion of 0 in phi2 4.368 * [taylor]: Taking taylor expansion of 0 in lambda1 4.368 * [taylor]: Taking taylor expansion of 0 in lambda2 4.369 * [taylor]: Taking taylor expansion of 0 in lambda1 4.369 * [taylor]: Taking taylor expansion of 0 in lambda2 4.369 * [taylor]: Taking taylor expansion of 0 in lambda2 4.370 * [taylor]: Taking taylor expansion of 0 in phi2 4.371 * [taylor]: Taking taylor expansion of 0 in lambda1 4.371 * [taylor]: Taking taylor expansion of 0 in lambda2 4.371 * [taylor]: Taking taylor expansion of 0 in lambda1 4.371 * [taylor]: Taking taylor expansion of 0 in lambda2 4.372 * [approximate]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))))) in (phi1 phi2 lambda1 lambda2) around 0 4.372 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))))) in lambda2 4.372 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))))))) in lambda2 4.372 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 4.372 * [taylor]: Taking taylor expansion of 1/2 in lambda2 4.372 * [taylor]: Taking taylor expansion of PI in lambda2 4.372 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in lambda2 4.373 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))))) in lambda1 4.373 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))))))) in lambda1 4.373 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 4.373 * [taylor]: Taking taylor expansion of 1/2 in lambda1 4.373 * [taylor]: Taking taylor expansion of PI in lambda1 4.373 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in lambda1 4.375 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))))) in phi2 4.375 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))))))) in phi2 4.375 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 4.375 * [taylor]: Taking taylor expansion of 1/2 in phi2 4.375 * [taylor]: Taking taylor expansion of PI in phi2 4.375 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi2 4.377 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))))) in phi1 4.377 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))))))) in phi1 4.377 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 4.377 * [taylor]: Taking taylor expansion of 1/2 in phi1 4.377 * [taylor]: Taking taylor expansion of PI in phi1 4.377 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi1 4.379 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))))) in phi1 4.379 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))))))) in phi1 4.379 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 4.379 * [taylor]: Taking taylor expansion of 1/2 in phi1 4.379 * [taylor]: Taking taylor expansion of PI in phi1 4.379 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi1 4.380 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) in phi2 4.380 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in phi2 4.380 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 4.380 * [taylor]: Taking taylor expansion of 1/2 in phi2 4.380 * [taylor]: Taking taylor expansion of PI in phi2 4.380 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 4.382 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) in lambda1 4.382 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in lambda1 4.382 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 4.382 * [taylor]: Taking taylor expansion of 1/2 in lambda1 4.382 * [taylor]: Taking taylor expansion of PI in lambda1 4.382 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 4.384 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) in lambda2 4.384 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in lambda2 4.384 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 4.384 * [taylor]: Taking taylor expansion of 1/2 in lambda2 4.384 * [taylor]: Taking taylor expansion of PI in lambda2 4.384 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 4.387 * [taylor]: Taking taylor expansion of 0 in phi2 4.387 * [taylor]: Taking taylor expansion of 0 in lambda1 4.387 * [taylor]: Taking taylor expansion of 0 in lambda2 4.387 * [taylor]: Taking taylor expansion of 0 in lambda1 4.387 * [taylor]: Taking taylor expansion of 0 in lambda2 4.388 * [taylor]: Taking taylor expansion of 0 in lambda2 4.389 * [taylor]: Taking taylor expansion of 0 in phi2 4.389 * [taylor]: Taking taylor expansion of 0 in lambda1 4.389 * [taylor]: Taking taylor expansion of 0 in lambda2 4.389 * [taylor]: Taking taylor expansion of 0 in lambda1 4.389 * [taylor]: Taking taylor expansion of 0 in lambda2 4.390 * * * [progress]: simplifying candidates 4.391 * [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))))))))) (neg (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)) (neg (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))))))) (log (exp (/ PI 2))) (log (exp (neg (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (exp (- (/ PI 2) (/ PI 2)))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (/ PI 2))) (log (exp (neg (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (* (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))) (log (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (log (sqrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (log (sqrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (log 1) (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (exp (/ PI 2))) (log (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) 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(* (sin lambda1) (sin lambda2))))))))) (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (sqrt (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (sqrt (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (exp (* (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 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(exp (- (/ 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))))))))) (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt (exp (- (/ PI 2) (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)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) (exp (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))))) (exp (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))))) (exp (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))))) 4.398 * * [simplify]: iteration 0 : 109 enodes (cost 2805 ) 4.411 * * [simplify]: iteration 1 : 207 enodes (cost 2579 ) 4.437 * * [simplify]: iteration 2 : 396 enodes (cost 2381 ) 4.495 * * [simplify]: iteration 3 : 725 enodes (cost 2377 ) 4.618 * * [simplify]: iteration 4 : 1706 enodes (cost 2377 ) 5.011 * * [simplify]: iteration done : 5002 enodes (cost 2377 ) 5.012 * [simplify]: Simplified to: (/ (sqrt (exp PI)) (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)))))))) (/ (sqrt (exp PI)) (exp (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)) (+ (/ (* PI PI) 4) (* (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))))))))) (neg (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (- (/ (* PI PI) 4) (* (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 (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (/ PI 2))) (- (sqrt (/ PI 2)) (sqrt (asin (+ (* 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lambda2)) (* (sin lambda1) (sin lambda2))))))) (* 1/2 PI) (neg (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 0 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* 1/2 PI) (neg (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* 2 (log (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))) (log (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (log (sqrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (log (sqrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) 0 (- (* 1/2 PI) (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 phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (- (* 1/2 PI) (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))))))))) (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) 1 (+ (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (/ PI 2))) (+ (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) 1 (log (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (/ (sqrt (exp PI)) (exp (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)))))))) (exp (* (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)))))))))) (exp (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) E (exp (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (exp (+ (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) E (sqrt (exp PI)) (exp (neg (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) 1 (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (exp PI)) (exp (neg (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt (exp PI)) (exp (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 phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (* (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (pow (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) 3) (sqrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt (exp (- (/ PI 2) (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 phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (- (* 1/2 PI) (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 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)))))) (- (* 1/2 PI) (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 phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (/ (sqrt (exp PI)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (/ (sqrt (exp PI)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (/ (sqrt (exp PI)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) 5.013 * * * [progress]: adding candidates to table 5.126 * [progress]: [Phase 3 of 3] Extracting. 5.126 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # #) 5.151 * * * [regime-changes]: Trying 5 branch expressions: (phi2 phi1 lambda2 lambda1 R) 5.151 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # # # # # # # # #) 5.317 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # # # # # # # # #) 5.480 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # # # # # # # # # #) 5.645 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # # # # # # # # #) 5.811 * * * * [regimes]: Trying to branch on R from (# # # # # # # # # # # # # # # #) 5.975 * * * [regime]: Found split indices: #