9.677 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.286 * * * [progress]: [2/2] Setting up program. 0.292 * [progress]: [Phase 2 of 3] Improving. 0.292 * [simplify]: Simplifying using # : (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.293 * * [simplify]: iteration 0 : 17 enodes (cost 19 ) 0.295 * * [simplify]: iteration 1 : 26 enodes (cost 19 ) 0.298 * * [simplify]: iteration 2 : 33 enodes (cost 19 ) 0.301 * * [simplify]: iteration 3 : 34 enodes (cost 19 ) 0.305 * * [simplify]: iteration done : 34 enodes (cost 19 ) 0.305 * [simplify]: Simplified to: (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.305 * * [progress]: iteration 1 / 4 0.305 * * * [progress]: picking best candidate 0.310 * * * * [pick]: Picked # 0.310 * * * [progress]: localizing error 0.333 * * * [progress]: generating rewritten candidates 0.333 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 0.337 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.339 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.343 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.349 * * * [progress]: generating series expansions 0.349 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 0.349 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 0.349 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 0.349 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 0.349 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.349 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.350 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.350 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.350 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.350 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.350 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.350 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.350 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.350 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.350 * [taylor]: Taking taylor expansion of (cos (neg lambda2)) in lambda2 0.350 * [taylor]: Taking taylor expansion of (neg lambda2) in lambda2 0.350 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.351 * [taylor]: Taking taylor expansion of (neg (sin (neg lambda2))) in lambda2 0.351 * [taylor]: Taking taylor expansion of (sin (neg lambda2)) in lambda2 0.351 * [taylor]: Taking taylor expansion of (neg lambda2) in lambda2 0.351 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.351 * [taylor]: Taking taylor expansion of (neg (* 1/2 (cos (neg lambda2)))) in lambda2 0.351 * [taylor]: Taking taylor expansion of (* 1/2 (cos (neg lambda2))) in lambda2 0.351 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.351 * [taylor]: Taking taylor expansion of (cos (neg lambda2)) in lambda2 0.351 * [taylor]: Taking taylor expansion of (neg lambda2) in lambda2 0.351 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.352 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 0.352 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.352 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.352 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.352 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.352 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.352 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.352 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.352 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.352 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.352 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.352 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.352 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.352 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.352 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.352 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.352 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.352 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.352 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.352 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.352 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.352 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.352 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.353 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.353 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.353 * [taylor]: Taking taylor expansion of 0 in lambda2 0.353 * [taylor]: Taking taylor expansion of 0 in lambda2 0.353 * [taylor]: Taking taylor expansion of 0 in lambda2 0.353 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 0.353 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.353 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.353 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.353 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.353 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.353 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.353 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.353 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.353 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.353 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.353 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.353 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.353 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.353 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.353 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.353 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.354 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.354 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.354 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.354 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.354 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.354 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.354 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.354 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.354 * [taylor]: Taking taylor expansion of 0 in lambda2 0.354 * [taylor]: Taking taylor expansion of 0 in lambda2 0.354 * [taylor]: Taking taylor expansion of 0 in lambda2 0.354 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.354 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.354 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in lambda2 0.355 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in lambda1 0.355 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in phi2 0.355 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in phi1 0.355 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in phi1 0.355 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in phi2 0.356 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in lambda1 0.356 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in lambda2 0.356 * [taylor]: Taking taylor expansion of 0 in phi2 0.356 * [taylor]: Taking taylor expansion of 0 in lambda1 0.356 * [taylor]: Taking taylor expansion of 0 in lambda2 0.356 * [taylor]: Taking taylor expansion of 0 in lambda1 0.356 * [taylor]: Taking taylor expansion of 0 in lambda2 0.356 * [taylor]: Taking taylor expansion of 0 in lambda2 0.356 * [taylor]: Taking taylor expansion of 0 in phi2 0.356 * [taylor]: Taking taylor expansion of 0 in lambda1 0.356 * [taylor]: Taking taylor expansion of 0 in lambda2 0.356 * [taylor]: Taking taylor expansion of 0 in lambda1 0.356 * [taylor]: Taking taylor expansion of 0 in lambda2 0.357 * [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 0.357 * [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 0.357 * [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 0.357 * [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 0.357 * [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 0.358 * [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 0.358 * [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 0.358 * [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 0.358 * [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 0.359 * [taylor]: Taking taylor expansion of 0 in phi2 0.359 * [taylor]: Taking taylor expansion of 0 in lambda1 0.359 * [taylor]: Taking taylor expansion of 0 in lambda2 0.359 * [taylor]: Taking taylor expansion of 0 in lambda1 0.359 * [taylor]: Taking taylor expansion of 0 in lambda2 0.359 * [taylor]: Taking taylor expansion of 0 in lambda2 0.359 * [taylor]: Taking taylor expansion of 0 in phi2 0.359 * [taylor]: Taking taylor expansion of 0 in lambda1 0.359 * [taylor]: Taking taylor expansion of 0 in lambda2 0.359 * [taylor]: Taking taylor expansion of 0 in lambda1 0.359 * [taylor]: Taking taylor expansion of 0 in lambda2 0.360 * [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 0.360 * [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 0.360 * [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 0.360 * [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 0.361 * [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 0.361 * [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 0.361 * [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 0.361 * [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 0.362 * [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 0.362 * [taylor]: Taking taylor expansion of 0 in phi2 0.362 * [taylor]: Taking taylor expansion of 0 in lambda1 0.362 * [taylor]: Taking taylor expansion of 0 in lambda2 0.362 * [taylor]: Taking taylor expansion of 0 in lambda1 0.362 * [taylor]: Taking taylor expansion of 0 in lambda2 0.362 * [taylor]: Taking taylor expansion of 0 in lambda2 0.362 * [taylor]: Taking taylor expansion of 0 in phi2 0.362 * [taylor]: Taking taylor expansion of 0 in lambda1 0.362 * [taylor]: Taking taylor expansion of 0 in lambda2 0.362 * [taylor]: Taking taylor expansion of 0 in lambda1 0.362 * [taylor]: Taking taylor expansion of 0 in lambda2 0.363 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.363 * [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 0.363 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) in R 0.363 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in R 0.363 * [taylor]: Taking taylor expansion of R in R 0.363 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) in lambda2 0.363 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in lambda2 0.363 * [taylor]: Taking taylor expansion of R in lambda2 0.363 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) in lambda1 0.363 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in lambda1 0.364 * [taylor]: Taking taylor expansion of R in lambda1 0.364 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) in phi2 0.364 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in phi2 0.364 * [taylor]: Taking taylor expansion of R in phi2 0.364 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) in phi1 0.364 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in phi1 0.364 * [taylor]: Taking taylor expansion of R in phi1 0.364 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) in phi1 0.364 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in phi1 0.364 * [taylor]: Taking taylor expansion of R in phi1 0.364 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) in phi2 0.364 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in phi2 0.365 * [taylor]: Taking taylor expansion of R in phi2 0.365 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) in lambda1 0.365 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in lambda1 0.365 * [taylor]: Taking taylor expansion of R in lambda1 0.365 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) in lambda2 0.365 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in lambda2 0.365 * [taylor]: Taking taylor expansion of R in lambda2 0.365 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) in R 0.365 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in R 0.366 * [taylor]: Taking taylor expansion of R in R 0.366 * [taylor]: Taking taylor expansion of 0 in phi2 0.366 * [taylor]: Taking taylor expansion of 0 in lambda1 0.366 * [taylor]: Taking taylor expansion of 0 in lambda2 0.366 * [taylor]: Taking taylor expansion of 0 in R 0.366 * [taylor]: Taking taylor expansion of 0 in lambda1 0.366 * [taylor]: Taking taylor expansion of 0 in lambda2 0.366 * [taylor]: Taking taylor expansion of 0 in R 0.366 * [taylor]: Taking taylor expansion of 0 in lambda2 0.366 * [taylor]: Taking taylor expansion of 0 in R 0.367 * [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 0.371 * [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 lambda2 0.371 * [taylor]: Taking taylor expansion of 0 in R 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 lambda2 0.372 * [taylor]: Taking taylor expansion of 0 in R 0.372 * [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 0.372 * [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 0.372 * [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 0.373 * [taylor]: Taking taylor expansion of R in R 0.373 * [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 0.373 * [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 0.373 * [taylor]: Taking taylor expansion of R in lambda2 0.373 * [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 0.373 * [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 0.374 * [taylor]: Taking taylor expansion of R in lambda1 0.374 * [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 0.374 * [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 0.374 * [taylor]: Taking taylor expansion of R in phi2 0.374 * [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 0.374 * [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 0.375 * [taylor]: Taking taylor expansion of R in phi1 0.375 * [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 0.375 * [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 0.375 * [taylor]: Taking taylor expansion of R in phi1 0.375 * [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 0.375 * [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 0.376 * [taylor]: Taking taylor expansion of R in phi2 0.376 * [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 0.376 * [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 0.376 * [taylor]: Taking taylor expansion of R in lambda1 0.377 * [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 0.377 * [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 0.377 * [taylor]: Taking taylor expansion of R in lambda2 0.377 * [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 0.377 * [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 0.377 * [taylor]: Taking taylor expansion of R in R 0.378 * [taylor]: Taking taylor expansion of 0 in phi2 0.378 * [taylor]: Taking taylor expansion of 0 in lambda1 0.378 * [taylor]: Taking taylor expansion of 0 in lambda2 0.378 * [taylor]: Taking taylor expansion of 0 in R 0.379 * [taylor]: Taking taylor expansion of 0 in lambda1 0.379 * [taylor]: Taking taylor expansion of 0 in lambda2 0.379 * [taylor]: Taking taylor expansion of 0 in R 0.379 * [taylor]: Taking taylor expansion of 0 in lambda2 0.379 * [taylor]: Taking taylor expansion of 0 in R 0.379 * [taylor]: Taking taylor expansion of 0 in R 0.380 * [taylor]: Taking taylor expansion of 0 in phi2 0.380 * [taylor]: Taking taylor expansion of 0 in lambda1 0.380 * [taylor]: Taking taylor expansion of 0 in lambda2 0.380 * [taylor]: Taking taylor expansion of 0 in R 0.380 * [taylor]: Taking taylor expansion of 0 in lambda1 0.380 * [taylor]: Taking taylor expansion of 0 in lambda2 0.380 * [taylor]: Taking taylor expansion of 0 in R 0.380 * [taylor]: Taking taylor expansion of 0 in lambda1 0.380 * [taylor]: Taking taylor expansion of 0 in lambda2 0.380 * [taylor]: Taking taylor expansion of 0 in R 0.380 * [taylor]: Taking taylor expansion of 0 in lambda2 0.380 * [taylor]: Taking taylor expansion of 0 in R 0.381 * [taylor]: Taking taylor expansion of 0 in lambda2 0.381 * [taylor]: Taking taylor expansion of 0 in R 0.381 * [taylor]: Taking taylor expansion of 0 in lambda2 0.381 * [taylor]: Taking taylor expansion of 0 in R 0.381 * [taylor]: Taking taylor expansion of 0 in R 0.381 * [taylor]: Taking taylor expansion of 0 in R 0.381 * [taylor]: Taking taylor expansion of 0 in R 0.381 * [taylor]: Taking taylor expansion of 0 in R 0.382 * [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 0.382 * [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 0.383 * [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 0.383 * [taylor]: Taking taylor expansion of -1 in lambda2 0.383 * [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 0.383 * [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 0.383 * [taylor]: Taking taylor expansion of R in lambda2 0.383 * [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 0.383 * [taylor]: Taking taylor expansion of -1 in lambda1 0.383 * [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 0.383 * [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 0.384 * [taylor]: Taking taylor expansion of R in lambda1 0.384 * [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 0.384 * [taylor]: Taking taylor expansion of -1 in phi2 0.384 * [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 0.384 * [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 0.384 * [taylor]: Taking taylor expansion of R in phi2 0.385 * [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 0.385 * [taylor]: Taking taylor expansion of -1 in phi1 0.385 * [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 0.385 * [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 0.385 * [taylor]: Taking taylor expansion of R in phi1 0.385 * [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 0.385 * [taylor]: Taking taylor expansion of -1 in phi1 0.385 * [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 0.385 * [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 0.385 * [taylor]: Taking taylor expansion of R in phi1 0.386 * [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 0.386 * [taylor]: Taking taylor expansion of -1 in phi2 0.386 * [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 0.386 * [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 0.386 * [taylor]: Taking taylor expansion of R in phi2 0.387 * [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 0.387 * [taylor]: Taking taylor expansion of -1 in lambda1 0.387 * [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 0.387 * [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 0.387 * [taylor]: Taking taylor expansion of R in lambda1 0.388 * [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 0.388 * [taylor]: Taking taylor expansion of -1 in lambda2 0.388 * [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 0.388 * [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 0.388 * [taylor]: Taking taylor expansion of R in lambda2 0.388 * [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 0.388 * [taylor]: Taking taylor expansion of -1 in R 0.388 * [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 0.388 * [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 0.389 * [taylor]: Taking taylor expansion of R in R 0.390 * [taylor]: Taking taylor expansion of 0 in phi2 0.390 * [taylor]: Taking taylor expansion of 0 in lambda1 0.390 * [taylor]: Taking taylor expansion of 0 in lambda2 0.390 * [taylor]: Taking taylor expansion of 0 in R 0.391 * [taylor]: Taking taylor expansion of 0 in lambda1 0.391 * [taylor]: Taking taylor expansion of 0 in lambda2 0.391 * [taylor]: Taking taylor expansion of 0 in R 0.391 * [taylor]: Taking taylor expansion of 0 in lambda2 0.391 * [taylor]: Taking taylor expansion of 0 in R 0.392 * [taylor]: Taking taylor expansion of 0 in R 0.393 * [taylor]: Taking taylor expansion of 0 in phi2 0.393 * [taylor]: Taking taylor expansion of 0 in lambda1 0.393 * [taylor]: Taking taylor expansion of 0 in lambda2 0.393 * [taylor]: Taking taylor expansion of 0 in R 0.393 * [taylor]: Taking taylor expansion of 0 in lambda1 0.393 * [taylor]: Taking taylor expansion of 0 in lambda2 0.393 * [taylor]: Taking taylor expansion of 0 in R 0.394 * [taylor]: Taking taylor expansion of 0 in lambda1 0.394 * [taylor]: Taking taylor expansion of 0 in lambda2 0.394 * [taylor]: Taking taylor expansion of 0 in R 0.394 * [taylor]: Taking taylor expansion of 0 in lambda2 0.394 * [taylor]: Taking taylor expansion of 0 in R 0.394 * [taylor]: Taking taylor expansion of 0 in lambda2 0.394 * [taylor]: Taking taylor expansion of 0 in R 0.394 * [taylor]: Taking taylor expansion of 0 in lambda2 0.394 * [taylor]: Taking taylor expansion of 0 in R 0.394 * [taylor]: Taking taylor expansion of 0 in R 0.394 * [taylor]: Taking taylor expansion of 0 in R 0.394 * [taylor]: Taking taylor expansion of 0 in R 0.395 * [taylor]: Taking taylor expansion of 0 in R 0.396 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.396 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 0.396 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 0.396 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 0.396 * [taylor]: Taking taylor expansion of phi1 in phi2 0.396 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.396 * [taylor]: Taking taylor expansion of phi2 in phi2 0.396 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.396 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.396 * [taylor]: Taking taylor expansion of phi1 in phi1 0.396 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.396 * [taylor]: Taking taylor expansion of phi2 in phi1 0.396 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.396 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.396 * [taylor]: Taking taylor expansion of phi1 in phi1 0.396 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.396 * [taylor]: Taking taylor expansion of phi2 in phi1 0.397 * [taylor]: Taking taylor expansion of 0 in phi2 0.397 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.397 * [taylor]: Taking taylor expansion of phi2 in phi2 0.398 * [taylor]: Taking taylor expansion of 0 in phi2 0.398 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin phi2))) in phi2 0.398 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 0.398 * [taylor]: Taking taylor expansion of 1/6 in phi2 0.398 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.398 * [taylor]: Taking taylor expansion of phi2 in phi2 0.399 * [taylor]: Taking taylor expansion of 0 in phi2 0.399 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 0.399 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.399 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.399 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.400 * [taylor]: Taking taylor expansion of phi1 in phi2 0.400 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.400 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.400 * [taylor]: Taking taylor expansion of phi2 in phi2 0.400 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.400 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.400 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.400 * [taylor]: Taking taylor expansion of phi1 in phi1 0.400 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.400 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.400 * [taylor]: Taking taylor expansion of phi2 in phi1 0.400 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.400 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.400 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.400 * [taylor]: Taking taylor expansion of phi1 in phi1 0.400 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.400 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.400 * [taylor]: Taking taylor expansion of phi2 in phi1 0.400 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.400 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.400 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.400 * [taylor]: Taking taylor expansion of phi1 in phi2 0.400 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.400 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.401 * [taylor]: Taking taylor expansion of phi2 in phi2 0.401 * [taylor]: Taking taylor expansion of 0 in phi2 0.402 * [taylor]: Taking taylor expansion of 0 in phi2 0.403 * [taylor]: Taking taylor expansion of 0 in phi2 0.403 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 0.403 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.403 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.403 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.403 * [taylor]: Taking taylor expansion of -1 in phi2 0.403 * [taylor]: Taking taylor expansion of phi1 in phi2 0.403 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.403 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.403 * [taylor]: Taking taylor expansion of -1 in phi2 0.403 * [taylor]: Taking taylor expansion of phi2 in phi2 0.403 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.403 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.403 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.403 * [taylor]: Taking taylor expansion of -1 in phi1 0.403 * [taylor]: Taking taylor expansion of phi1 in phi1 0.403 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.404 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.404 * [taylor]: Taking taylor expansion of -1 in phi1 0.404 * [taylor]: Taking taylor expansion of phi2 in phi1 0.404 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.404 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.404 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.404 * [taylor]: Taking taylor expansion of -1 in phi1 0.404 * [taylor]: Taking taylor expansion of phi1 in phi1 0.404 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.404 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.404 * [taylor]: Taking taylor expansion of -1 in phi1 0.404 * [taylor]: Taking taylor expansion of phi2 in phi1 0.404 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.404 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.404 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.404 * [taylor]: Taking taylor expansion of -1 in phi2 0.404 * [taylor]: Taking taylor expansion of phi1 in phi2 0.404 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.404 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.404 * [taylor]: Taking taylor expansion of -1 in phi2 0.404 * [taylor]: Taking taylor expansion of phi2 in phi2 0.405 * [taylor]: Taking taylor expansion of 0 in phi2 0.406 * [taylor]: Taking taylor expansion of 0 in phi2 0.407 * [taylor]: Taking taylor expansion of 0 in phi2 0.407 * * * [progress]: simplifying candidates 0.408 * [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)) 0.411 * * [simplify]: iteration 0 : 110 enodes (cost 1035 ) 0.424 * * [simplify]: iteration 1 : 201 enodes (cost 1029 ) 0.456 * * [simplify]: iteration 2 : 490 enodes (cost 893 ) 0.552 * * [simplify]: iteration 3 : 919 enodes (cost 887 ) 0.689 * * [simplify]: iteration 4 : 1476 enodes (cost 887 ) 0.894 * * [simplify]: iteration 5 : 2647 enodes (cost 887 ) 1.297 * * [simplify]: iteration done : 5001 enodes (cost 887 ) 1.298 * [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 phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos 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)) (+ (* lambda1 (- lambda2 (* lambda1 1/2))) 1) (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)) 1.298 * * * [progress]: adding candidates to table 1.394 * * [progress]: iteration 2 / 4 1.394 * * * [progress]: picking best candidate 1.475 * * * * [pick]: Picked # 1.475 * * * [progress]: localizing error 1.505 * * * [progress]: generating rewritten candidates 1.506 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.507 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.511 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.516 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 2) 1.523 * * * [progress]: generating series expansions 1.523 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.524 * [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 1.524 * [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 1.524 * [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 1.524 * [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 1.525 * [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 1.525 * [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 1.525 * [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 1.526 * [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 1.526 * [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 1.526 * [taylor]: Taking taylor expansion of 0 in phi2 1.527 * [taylor]: Taking taylor expansion of 0 in lambda1 1.527 * [taylor]: Taking taylor expansion of 0 in lambda2 1.527 * [taylor]: Taking taylor expansion of 0 in lambda1 1.527 * [taylor]: Taking taylor expansion of 0 in lambda2 1.527 * [taylor]: Taking taylor expansion of 0 in lambda2 1.527 * [taylor]: Taking taylor expansion of 0 in phi2 1.527 * [taylor]: Taking taylor expansion of 0 in lambda1 1.527 * [taylor]: Taking taylor expansion of 0 in lambda2 1.527 * [taylor]: Taking taylor expansion of 0 in lambda1 1.527 * [taylor]: Taking taylor expansion of 0 in lambda2 1.527 * [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 1.527 * [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 1.528 * [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 1.528 * [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 1.529 * [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 1.529 * [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 1.530 * [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 1.530 * [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 1.530 * [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 1.531 * [taylor]: Taking taylor expansion of 0 in phi2 1.531 * [taylor]: Taking taylor expansion of 0 in lambda1 1.531 * [taylor]: Taking taylor expansion of 0 in lambda2 1.531 * [taylor]: Taking taylor expansion of 0 in lambda1 1.532 * [taylor]: Taking taylor expansion of 0 in lambda2 1.532 * [taylor]: Taking taylor expansion of 0 in lambda2 1.532 * [taylor]: Taking taylor expansion of 0 in phi2 1.532 * [taylor]: Taking taylor expansion of 0 in lambda1 1.532 * [taylor]: Taking taylor expansion of 0 in lambda2 1.532 * [taylor]: Taking taylor expansion of 0 in lambda1 1.532 * [taylor]: Taking taylor expansion of 0 in lambda2 1.533 * [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 1.533 * [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 1.533 * [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 1.534 * [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 1.534 * [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 1.536 * [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 1.537 * [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 1.538 * [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 1.538 * [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 1.539 * [taylor]: Taking taylor expansion of 0 in phi2 1.539 * [taylor]: Taking taylor expansion of 0 in lambda1 1.539 * [taylor]: Taking taylor expansion of 0 in lambda2 1.539 * [taylor]: Taking taylor expansion of 0 in lambda1 1.539 * [taylor]: Taking taylor expansion of 0 in lambda2 1.539 * [taylor]: Taking taylor expansion of 0 in lambda2 1.539 * [taylor]: Taking taylor expansion of 0 in phi2 1.539 * [taylor]: Taking taylor expansion of 0 in lambda1 1.539 * [taylor]: Taking taylor expansion of 0 in lambda2 1.539 * [taylor]: Taking taylor expansion of 0 in lambda1 1.539 * [taylor]: Taking taylor expansion of 0 in lambda2 1.540 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.540 * [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 1.540 * [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 1.540 * [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 1.541 * [taylor]: Taking taylor expansion of R in R 1.541 * [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 1.541 * [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 1.541 * [taylor]: Taking taylor expansion of R in lambda2 1.541 * [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 1.541 * [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 1.541 * [taylor]: Taking taylor expansion of R in lambda1 1.541 * [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 1.541 * [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 1.542 * [taylor]: Taking taylor expansion of R in phi2 1.542 * [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 1.542 * [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 1.542 * [taylor]: Taking taylor expansion of R in phi1 1.542 * [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 1.542 * [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 1.542 * [taylor]: Taking taylor expansion of R in phi1 1.543 * [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 1.543 * [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 1.543 * [taylor]: Taking taylor expansion of R in phi2 1.544 * [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 1.544 * [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 1.544 * [taylor]: Taking taylor expansion of R in lambda1 1.544 * [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 1.544 * [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 1.545 * [taylor]: Taking taylor expansion of R in lambda2 1.545 * [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 1.545 * [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 1.545 * [taylor]: Taking taylor expansion of R in R 1.546 * [taylor]: Taking taylor expansion of 0 in phi2 1.546 * [taylor]: Taking taylor expansion of 0 in lambda1 1.546 * [taylor]: Taking taylor expansion of 0 in lambda2 1.546 * [taylor]: Taking taylor expansion of 0 in R 1.547 * [taylor]: Taking taylor expansion of 0 in lambda1 1.547 * [taylor]: Taking taylor expansion of 0 in lambda2 1.547 * [taylor]: Taking taylor expansion of 0 in R 1.547 * [taylor]: Taking taylor expansion of 0 in lambda2 1.547 * [taylor]: Taking taylor expansion of 0 in R 1.547 * [taylor]: Taking taylor expansion of 0 in R 1.548 * [taylor]: Taking taylor expansion of 0 in phi2 1.548 * [taylor]: Taking taylor expansion of 0 in lambda1 1.548 * [taylor]: Taking taylor expansion of 0 in lambda2 1.548 * [taylor]: Taking taylor expansion of 0 in R 1.549 * [taylor]: Taking taylor expansion of 0 in lambda1 1.549 * [taylor]: Taking taylor expansion of 0 in lambda2 1.549 * [taylor]: Taking taylor expansion of 0 in R 1.549 * [taylor]: Taking taylor expansion of 0 in lambda1 1.549 * [taylor]: Taking taylor expansion of 0 in lambda2 1.549 * [taylor]: Taking taylor expansion of 0 in R 1.549 * [taylor]: Taking taylor expansion of 0 in lambda2 1.549 * [taylor]: Taking taylor expansion of 0 in R 1.549 * [taylor]: Taking taylor expansion of 0 in lambda2 1.549 * [taylor]: Taking taylor expansion of 0 in R 1.549 * [taylor]: Taking taylor expansion of 0 in lambda2 1.549 * [taylor]: Taking taylor expansion of 0 in R 1.550 * [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 1.550 * [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 1.550 * [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 1.551 * [taylor]: Taking taylor expansion of R in R 1.551 * [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 1.551 * [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 1.552 * [taylor]: Taking taylor expansion of R in lambda2 1.552 * [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 1.552 * [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 1.553 * [taylor]: Taking taylor expansion of R in lambda1 1.553 * [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 1.553 * [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 1.553 * [taylor]: Taking taylor expansion of R in phi2 1.554 * [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 1.554 * [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 1.554 * [taylor]: Taking taylor expansion of R in phi1 1.555 * [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 1.555 * [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 1.556 * [taylor]: Taking taylor expansion of R in phi1 1.556 * [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 1.556 * [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 1.556 * [taylor]: Taking taylor expansion of R in phi2 1.557 * [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 1.557 * [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 1.557 * [taylor]: Taking taylor expansion of R in lambda1 1.558 * [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 1.558 * [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 1.558 * [taylor]: Taking taylor expansion of R in lambda2 1.559 * [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 1.559 * [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 1.559 * [taylor]: Taking taylor expansion of R in R 1.561 * [taylor]: Taking taylor expansion of 0 in phi2 1.561 * [taylor]: Taking taylor expansion of 0 in lambda1 1.561 * [taylor]: Taking taylor expansion of 0 in lambda2 1.561 * [taylor]: Taking taylor expansion of 0 in R 1.561 * [taylor]: Taking taylor expansion of 0 in lambda1 1.561 * [taylor]: Taking taylor expansion of 0 in lambda2 1.561 * [taylor]: Taking taylor expansion of 0 in R 1.562 * [taylor]: Taking taylor expansion of 0 in lambda2 1.562 * [taylor]: Taking taylor expansion of 0 in R 1.562 * [taylor]: Taking taylor expansion of 0 in R 1.563 * [taylor]: Taking taylor expansion of 0 in phi2 1.563 * [taylor]: Taking taylor expansion of 0 in lambda1 1.564 * [taylor]: Taking taylor expansion of 0 in lambda2 1.564 * [taylor]: Taking taylor expansion of 0 in R 1.564 * [taylor]: Taking taylor expansion of 0 in lambda1 1.564 * [taylor]: Taking taylor expansion of 0 in lambda2 1.564 * [taylor]: Taking taylor expansion of 0 in R 1.564 * [taylor]: Taking taylor expansion of 0 in lambda1 1.564 * [taylor]: Taking taylor expansion of 0 in lambda2 1.564 * [taylor]: Taking taylor expansion of 0 in R 1.564 * [taylor]: Taking taylor expansion of 0 in lambda2 1.564 * [taylor]: Taking taylor expansion of 0 in R 1.564 * [taylor]: Taking taylor expansion of 0 in lambda2 1.564 * [taylor]: Taking taylor expansion of 0 in R 1.565 * [taylor]: Taking taylor expansion of 0 in lambda2 1.565 * [taylor]: Taking taylor expansion of 0 in R 1.565 * [taylor]: Taking taylor expansion of 0 in R 1.565 * [taylor]: Taking taylor expansion of 0 in R 1.565 * [taylor]: Taking taylor expansion of 0 in R 1.565 * [taylor]: Taking taylor expansion of 0 in R 1.567 * [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 1.567 * [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 1.567 * [taylor]: Taking taylor expansion of -1 in R 1.567 * [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 1.567 * [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 1.567 * [taylor]: Taking taylor expansion of R in R 1.568 * [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 1.568 * [taylor]: Taking taylor expansion of -1 in lambda2 1.568 * [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 1.568 * [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 1.568 * [taylor]: Taking taylor expansion of R in lambda2 1.569 * [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 1.569 * [taylor]: Taking taylor expansion of -1 in lambda1 1.569 * [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 1.569 * [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 1.569 * [taylor]: Taking taylor expansion of R in lambda1 1.570 * [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 1.570 * [taylor]: Taking taylor expansion of -1 in phi2 1.570 * [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 1.570 * [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 1.570 * [taylor]: Taking taylor expansion of R in phi2 1.571 * [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 1.571 * [taylor]: Taking taylor expansion of -1 in phi1 1.571 * [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 1.571 * [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 1.571 * [taylor]: Taking taylor expansion of R in phi1 1.572 * [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 1.572 * [taylor]: Taking taylor expansion of -1 in phi1 1.572 * [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 1.572 * [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 1.572 * [taylor]: Taking taylor expansion of R in phi1 1.573 * [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 1.573 * [taylor]: Taking taylor expansion of -1 in phi2 1.573 * [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 1.573 * [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 1.574 * [taylor]: Taking taylor expansion of R in phi2 1.574 * [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 1.574 * [taylor]: Taking taylor expansion of -1 in lambda1 1.574 * [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 1.575 * [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 1.575 * [taylor]: Taking taylor expansion of R in lambda1 1.576 * [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 1.576 * [taylor]: Taking taylor expansion of -1 in lambda2 1.576 * [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 1.576 * [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 1.576 * [taylor]: Taking taylor expansion of R in lambda2 1.577 * [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 1.577 * [taylor]: Taking taylor expansion of -1 in R 1.577 * [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 1.577 * [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 1.578 * [taylor]: Taking taylor expansion of R in R 1.580 * [taylor]: Taking taylor expansion of 0 in phi2 1.580 * [taylor]: Taking taylor expansion of 0 in lambda1 1.580 * [taylor]: Taking taylor expansion of 0 in lambda2 1.580 * [taylor]: Taking taylor expansion of 0 in R 1.581 * [taylor]: Taking taylor expansion of 0 in lambda1 1.581 * [taylor]: Taking taylor expansion of 0 in lambda2 1.581 * [taylor]: Taking taylor expansion of 0 in R 1.582 * [taylor]: Taking taylor expansion of 0 in lambda2 1.582 * [taylor]: Taking taylor expansion of 0 in R 1.583 * [taylor]: Taking taylor expansion of 0 in R 1.585 * [taylor]: Taking taylor expansion of 0 in phi2 1.585 * [taylor]: Taking taylor expansion of 0 in lambda1 1.585 * [taylor]: Taking taylor expansion of 0 in lambda2 1.585 * [taylor]: Taking taylor expansion of 0 in R 1.585 * [taylor]: Taking taylor expansion of 0 in lambda1 1.585 * [taylor]: Taking taylor expansion of 0 in lambda2 1.585 * [taylor]: Taking taylor expansion of 0 in R 1.586 * [taylor]: Taking taylor expansion of 0 in lambda1 1.586 * [taylor]: Taking taylor expansion of 0 in lambda2 1.586 * [taylor]: Taking taylor expansion of 0 in R 1.586 * [taylor]: Taking taylor expansion of 0 in lambda2 1.586 * [taylor]: Taking taylor expansion of 0 in R 1.586 * [taylor]: Taking taylor expansion of 0 in lambda2 1.586 * [taylor]: Taking taylor expansion of 0 in R 1.587 * [taylor]: Taking taylor expansion of 0 in lambda2 1.587 * [taylor]: Taking taylor expansion of 0 in R 1.587 * [taylor]: Taking taylor expansion of 0 in R 1.587 * [taylor]: Taking taylor expansion of 0 in R 1.587 * [taylor]: Taking taylor expansion of 0 in R 1.588 * [taylor]: Taking taylor expansion of 0 in R 1.590 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.590 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 1.590 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 1.590 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 1.590 * [taylor]: Taking taylor expansion of phi1 in phi2 1.590 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.590 * [taylor]: Taking taylor expansion of phi2 in phi2 1.590 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.590 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.590 * [taylor]: Taking taylor expansion of phi1 in phi1 1.590 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.590 * [taylor]: Taking taylor expansion of phi2 in phi1 1.590 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.590 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.590 * [taylor]: Taking taylor expansion of phi1 in phi1 1.590 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.590 * [taylor]: Taking taylor expansion of phi2 in phi1 1.590 * [taylor]: Taking taylor expansion of 0 in phi2 1.591 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.591 * [taylor]: Taking taylor expansion of phi2 in phi2 1.591 * [taylor]: Taking taylor expansion of 0 in phi2 1.592 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin phi2))) in phi2 1.592 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 1.592 * [taylor]: Taking taylor expansion of 1/6 in phi2 1.592 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.592 * [taylor]: Taking taylor expansion of phi2 in phi2 1.593 * [taylor]: Taking taylor expansion of 0 in phi2 1.593 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 1.593 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.593 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.593 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.593 * [taylor]: Taking taylor expansion of phi1 in phi2 1.593 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.593 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.593 * [taylor]: Taking taylor expansion of phi2 in phi2 1.593 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.593 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.593 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.593 * [taylor]: Taking taylor expansion of phi1 in phi1 1.593 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.593 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.593 * [taylor]: Taking taylor expansion of phi2 in phi1 1.593 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.593 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.593 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.594 * [taylor]: Taking taylor expansion of phi1 in phi1 1.594 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.594 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.594 * [taylor]: Taking taylor expansion of phi2 in phi1 1.594 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.594 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.594 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.594 * [taylor]: Taking taylor expansion of phi1 in phi2 1.594 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.594 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.594 * [taylor]: Taking taylor expansion of phi2 in phi2 1.595 * [taylor]: Taking taylor expansion of 0 in phi2 1.595 * [taylor]: Taking taylor expansion of 0 in phi2 1.596 * [taylor]: Taking taylor expansion of 0 in phi2 1.596 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 1.596 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.597 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.597 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.597 * [taylor]: Taking taylor expansion of -1 in phi2 1.597 * [taylor]: Taking taylor expansion of phi1 in phi2 1.597 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.597 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.597 * [taylor]: Taking taylor expansion of -1 in phi2 1.597 * [taylor]: Taking taylor expansion of phi2 in phi2 1.597 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.597 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.597 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.597 * [taylor]: Taking taylor expansion of -1 in phi1 1.597 * [taylor]: Taking taylor expansion of phi1 in phi1 1.597 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.597 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.597 * [taylor]: Taking taylor expansion of -1 in phi1 1.597 * [taylor]: Taking taylor expansion of phi2 in phi1 1.597 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.597 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.597 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.597 * [taylor]: Taking taylor expansion of -1 in phi1 1.597 * [taylor]: Taking taylor expansion of phi1 in phi1 1.597 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.597 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.597 * [taylor]: Taking taylor expansion of -1 in phi1 1.597 * [taylor]: Taking taylor expansion of phi2 in phi1 1.597 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.598 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.598 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.598 * [taylor]: Taking taylor expansion of -1 in phi2 1.598 * [taylor]: Taking taylor expansion of phi1 in phi2 1.598 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.598 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.598 * [taylor]: Taking taylor expansion of -1 in phi2 1.598 * [taylor]: Taking taylor expansion of phi2 in phi2 1.598 * [taylor]: Taking taylor expansion of 0 in phi2 1.599 * [taylor]: Taking taylor expansion of 0 in phi2 1.600 * [taylor]: Taking taylor expansion of 0 in phi2 1.600 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 2) 1.600 * [approximate]: Taking taylor expansion of (* (sin lambda2) (sin lambda1)) in (lambda1 lambda2) around 0 1.600 * [taylor]: Taking taylor expansion of (* (sin lambda2) (sin lambda1)) in lambda2 1.600 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.600 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.600 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 1.600 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.600 * [taylor]: Taking taylor expansion of (* (sin lambda2) (sin lambda1)) in lambda1 1.600 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.600 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.600 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.600 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.600 * [taylor]: Taking taylor expansion of (* (sin lambda2) (sin lambda1)) in lambda1 1.601 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.601 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.601 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.601 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.601 * [taylor]: Taking taylor expansion of 0 in lambda2 1.601 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.601 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.601 * [taylor]: Taking taylor expansion of 0 in lambda2 1.602 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin lambda2))) in lambda2 1.602 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 1.602 * [taylor]: Taking taylor expansion of 1/6 in lambda2 1.602 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.602 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.603 * [taylor]: Taking taylor expansion of 0 in lambda2 1.603 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 1.603 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.603 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.603 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.603 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.603 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.603 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.603 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.603 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.603 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.603 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.603 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.604 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.604 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.604 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.604 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.604 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.604 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.604 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.604 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.604 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.604 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.604 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.604 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.604 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.604 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.604 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.604 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.604 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.605 * [taylor]: Taking taylor expansion of 0 in lambda2 1.606 * [taylor]: Taking taylor expansion of 0 in lambda2 1.607 * [taylor]: Taking taylor expansion of 0 in lambda2 1.607 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 1.607 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.607 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.607 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.607 * [taylor]: Taking taylor expansion of -1 in lambda2 1.607 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.607 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.607 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.607 * [taylor]: Taking taylor expansion of -1 in lambda2 1.607 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.607 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.607 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.607 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.607 * [taylor]: Taking taylor expansion of -1 in lambda1 1.607 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.607 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.607 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.607 * [taylor]: Taking taylor expansion of -1 in lambda1 1.607 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.607 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.607 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.607 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.607 * [taylor]: Taking taylor expansion of -1 in lambda1 1.607 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.607 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.607 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.607 * [taylor]: Taking taylor expansion of -1 in lambda1 1.608 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.608 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.608 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.608 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.608 * [taylor]: Taking taylor expansion of -1 in lambda2 1.608 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.608 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.608 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.608 * [taylor]: Taking taylor expansion of -1 in lambda2 1.608 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.609 * [taylor]: Taking taylor expansion of 0 in lambda2 1.610 * [taylor]: Taking taylor expansion of 0 in lambda2 1.611 * [taylor]: Taking taylor expansion of 0 in lambda2 1.611 * * * [progress]: simplifying candidates 1.612 * [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)) 1.617 * * [simplify]: iteration 0 : 128 enodes (cost 1410 ) 1.636 * * [simplify]: iteration 1 : 254 enodes (cost 1368 ) 1.679 * * [simplify]: iteration 2 : 712 enodes (cost 1177 ) 1.823 * * [simplify]: iteration 3 : 1414 enodes (cost 1173 ) 2.065 * * [simplify]: iteration 4 : 2330 enodes (cost 1173 ) 2.400 * * [simplify]: iteration 5 : 3964 enodes (cost 1173 ) 2.841 * * [simplify]: iteration done : 5001 enodes (cost 1173 ) 2.841 * [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)))))) (* 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))))))) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) 2.842 * * * [progress]: adding candidates to table 2.939 * * [progress]: iteration 3 / 4 2.939 * * * [progress]: picking best candidate 3.024 * * * * [pick]: Picked # 3.024 * * * [progress]: localizing error 3.057 * * * [progress]: generating rewritten candidates 3.057 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 3.059 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 3.062 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 3.065 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 3.072 * * * [progress]: generating series expansions 3.072 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 3.073 * [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 3.073 * [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 3.073 * [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 3.073 * [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 3.074 * [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 3.074 * [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 3.074 * [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 3.075 * [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 3.075 * [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 3.076 * [taylor]: Taking taylor expansion of 0 in phi2 3.076 * [taylor]: Taking taylor expansion of 0 in lambda1 3.076 * [taylor]: Taking taylor expansion of 0 in lambda2 3.076 * [taylor]: Taking taylor expansion of 0 in lambda1 3.076 * [taylor]: Taking taylor expansion of 0 in lambda2 3.076 * [taylor]: Taking taylor expansion of 0 in lambda2 3.076 * [taylor]: Taking taylor expansion of 0 in phi2 3.076 * [taylor]: Taking taylor expansion of 0 in lambda1 3.076 * [taylor]: Taking taylor expansion of 0 in lambda2 3.076 * [taylor]: Taking taylor expansion of 0 in lambda1 3.076 * [taylor]: Taking taylor expansion of 0 in lambda2 3.077 * [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 3.077 * [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 3.077 * [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 3.077 * [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 3.078 * [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 3.078 * [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 3.079 * [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 3.079 * [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 3.080 * [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 3.081 * [taylor]: Taking taylor expansion of 0 in phi2 3.081 * [taylor]: Taking taylor expansion of 0 in lambda1 3.081 * [taylor]: Taking taylor expansion of 0 in lambda2 3.081 * [taylor]: Taking taylor expansion of 0 in lambda1 3.081 * [taylor]: Taking taylor expansion of 0 in lambda2 3.081 * [taylor]: Taking taylor expansion of 0 in lambda2 3.081 * [taylor]: Taking taylor expansion of 0 in phi2 3.081 * [taylor]: Taking taylor expansion of 0 in lambda1 3.081 * [taylor]: Taking taylor expansion of 0 in lambda2 3.081 * [taylor]: Taking taylor expansion of 0 in lambda1 3.081 * [taylor]: Taking taylor expansion of 0 in lambda2 3.082 * [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 3.082 * [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 3.082 * [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 3.083 * [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 3.083 * [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 3.083 * [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 3.084 * [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 3.084 * [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 3.085 * [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 3.086 * [taylor]: Taking taylor expansion of 0 in phi2 3.086 * [taylor]: Taking taylor expansion of 0 in lambda1 3.086 * [taylor]: Taking taylor expansion of 0 in lambda2 3.086 * [taylor]: Taking taylor expansion of 0 in lambda1 3.086 * [taylor]: Taking taylor expansion of 0 in lambda2 3.086 * [taylor]: Taking taylor expansion of 0 in lambda2 3.086 * [taylor]: Taking taylor expansion of 0 in phi2 3.086 * [taylor]: Taking taylor expansion of 0 in lambda1 3.086 * [taylor]: Taking taylor expansion of 0 in lambda2 3.086 * [taylor]: Taking taylor expansion of 0 in lambda1 3.086 * [taylor]: Taking taylor expansion of 0 in lambda2 3.087 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 3.087 * [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 3.087 * [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 3.087 * [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 3.088 * [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 3.088 * [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 3.088 * [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 3.089 * [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 3.089 * [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 3.089 * [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 3.090 * [taylor]: Taking taylor expansion of 0 in phi2 3.090 * [taylor]: Taking taylor expansion of 0 in lambda1 3.090 * [taylor]: Taking taylor expansion of 0 in lambda2 3.090 * [taylor]: Taking taylor expansion of 0 in lambda1 3.090 * [taylor]: Taking taylor expansion of 0 in lambda2 3.090 * [taylor]: Taking taylor expansion of 0 in lambda2 3.090 * [taylor]: Taking taylor expansion of 0 in phi2 3.090 * [taylor]: Taking taylor expansion of 0 in lambda1 3.090 * [taylor]: Taking taylor expansion of 0 in lambda2 3.090 * [taylor]: Taking taylor expansion of 0 in lambda1 3.090 * [taylor]: Taking taylor expansion of 0 in lambda2 3.091 * [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 3.091 * [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 3.091 * [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 3.092 * [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 3.092 * [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 3.093 * [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 3.093 * [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 3.094 * [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 3.094 * [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 3.095 * [taylor]: Taking taylor expansion of 0 in phi2 3.095 * [taylor]: Taking taylor expansion of 0 in lambda1 3.095 * [taylor]: Taking taylor expansion of 0 in lambda2 3.095 * [taylor]: Taking taylor expansion of 0 in lambda1 3.095 * [taylor]: Taking taylor expansion of 0 in lambda2 3.095 * [taylor]: Taking taylor expansion of 0 in lambda2 3.095 * [taylor]: Taking taylor expansion of 0 in phi2 3.095 * [taylor]: Taking taylor expansion of 0 in lambda1 3.095 * [taylor]: Taking taylor expansion of 0 in lambda2 3.095 * [taylor]: Taking taylor expansion of 0 in lambda1 3.095 * [taylor]: Taking taylor expansion of 0 in lambda2 3.096 * [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 3.096 * [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 3.097 * [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 3.097 * [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 3.098 * [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 3.098 * [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 3.099 * [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 3.099 * [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 3.100 * [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 3.101 * [taylor]: Taking taylor expansion of 0 in phi2 3.101 * [taylor]: Taking taylor expansion of 0 in lambda1 3.101 * [taylor]: Taking taylor expansion of 0 in lambda2 3.101 * [taylor]: Taking taylor expansion of 0 in lambda1 3.101 * [taylor]: Taking taylor expansion of 0 in lambda2 3.101 * [taylor]: Taking taylor expansion of 0 in lambda2 3.101 * [taylor]: Taking taylor expansion of 0 in phi2 3.101 * [taylor]: Taking taylor expansion of 0 in lambda1 3.101 * [taylor]: Taking taylor expansion of 0 in lambda2 3.101 * [taylor]: Taking taylor expansion of 0 in lambda1 3.101 * [taylor]: Taking taylor expansion of 0 in lambda2 3.101 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 3.102 * [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 3.102 * [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 3.102 * [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 3.103 * [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 3.103 * [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 3.103 * [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 3.103 * [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 3.104 * [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 3.104 * [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 3.104 * [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 3.104 * [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 3.108 * [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 3.108 * [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 3.108 * [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 3.108 * [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 3.109 * [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 3.109 * [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 3.111 * [taylor]: Taking taylor expansion of 0 in phi2 3.111 * [taylor]: Taking taylor expansion of 0 in lambda1 3.111 * [taylor]: Taking taylor expansion of 0 in lambda2 3.111 * [taylor]: Taking taylor expansion of 0 in lambda1 3.111 * [taylor]: Taking taylor expansion of 0 in lambda2 3.111 * [taylor]: Taking taylor expansion of 0 in lambda2 3.112 * [taylor]: Taking taylor expansion of 0 in phi2 3.112 * [taylor]: Taking taylor expansion of 0 in lambda1 3.112 * [taylor]: Taking taylor expansion of 0 in lambda2 3.112 * [taylor]: Taking taylor expansion of 0 in lambda1 3.112 * [taylor]: Taking taylor expansion of 0 in lambda2 3.113 * [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 3.113 * [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 3.113 * [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 3.114 * [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 3.114 * [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 3.115 * [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 3.115 * [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 3.116 * [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 3.116 * [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 3.117 * [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 3.117 * [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 3.117 * [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 3.117 * [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 3.118 * [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 3.118 * [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 3.119 * [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 3.119 * [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 3.121 * [taylor]: Taking taylor expansion of 0 in phi2 3.121 * [taylor]: Taking taylor expansion of 0 in lambda1 3.121 * [taylor]: Taking taylor expansion of 0 in lambda2 3.122 * [taylor]: Taking taylor expansion of 0 in lambda1 3.122 * [taylor]: Taking taylor expansion of 0 in lambda2 3.122 * [taylor]: Taking taylor expansion of 0 in lambda2 3.123 * [taylor]: Taking taylor expansion of 0 in phi2 3.123 * [taylor]: Taking taylor expansion of 0 in lambda1 3.123 * [taylor]: Taking taylor expansion of 0 in lambda2 3.123 * [taylor]: Taking taylor expansion of 0 in lambda1 3.123 * [taylor]: Taking taylor expansion of 0 in lambda2 3.124 * [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 3.124 * [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 3.124 * [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 3.125 * [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 3.125 * [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 3.126 * [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 3.126 * [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 3.127 * [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 3.127 * [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 3.128 * [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 3.128 * [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 3.129 * [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 3.129 * [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 3.130 * [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 3.130 * [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 3.130 * [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 3.130 * [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 3.132 * [taylor]: Taking taylor expansion of 0 in phi2 3.132 * [taylor]: Taking taylor expansion of 0 in lambda1 3.132 * [taylor]: Taking taylor expansion of 0 in lambda2 3.133 * [taylor]: Taking taylor expansion of 0 in lambda1 3.133 * [taylor]: Taking taylor expansion of 0 in lambda2 3.133 * [taylor]: Taking taylor expansion of 0 in lambda2 3.134 * [taylor]: Taking taylor expansion of 0 in phi2 3.134 * [taylor]: Taking taylor expansion of 0 in lambda1 3.135 * [taylor]: Taking taylor expansion of 0 in lambda2 3.135 * [taylor]: Taking taylor expansion of 0 in lambda1 3.135 * [taylor]: Taking taylor expansion of 0 in lambda2 3.135 * * * * [progress]: [ 4 / 4 ] generating series at (2) 3.136 * [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 3.136 * [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 3.136 * [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 3.136 * [taylor]: Taking taylor expansion of R in R 3.136 * [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 3.136 * [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 3.136 * [taylor]: Taking taylor expansion of R in lambda2 3.136 * [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 3.136 * [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 3.137 * [taylor]: Taking taylor expansion of R in lambda1 3.137 * [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 3.137 * [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 3.137 * [taylor]: Taking taylor expansion of R in phi2 3.137 * [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 3.137 * [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 3.137 * [taylor]: Taking taylor expansion of R in phi1 3.137 * [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 3.138 * [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 3.138 * [taylor]: Taking taylor expansion of R in phi1 3.138 * [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 3.138 * [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 3.138 * [taylor]: Taking taylor expansion of R in phi2 3.139 * [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 3.139 * [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 3.139 * [taylor]: Taking taylor expansion of R in lambda1 3.139 * [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 3.139 * [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 3.140 * [taylor]: Taking taylor expansion of R in lambda2 3.140 * [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 3.140 * [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 3.140 * [taylor]: Taking taylor expansion of R in R 3.141 * [taylor]: Taking taylor expansion of 0 in phi2 3.141 * [taylor]: Taking taylor expansion of 0 in lambda1 3.141 * [taylor]: Taking taylor expansion of 0 in lambda2 3.141 * [taylor]: Taking taylor expansion of 0 in R 3.141 * [taylor]: Taking taylor expansion of 0 in lambda1 3.141 * [taylor]: Taking taylor expansion of 0 in lambda2 3.141 * [taylor]: Taking taylor expansion of 0 in R 3.142 * [taylor]: Taking taylor expansion of 0 in lambda2 3.142 * [taylor]: Taking taylor expansion of 0 in R 3.142 * [taylor]: Taking taylor expansion of 0 in R 3.143 * [taylor]: Taking taylor expansion of 0 in phi2 3.143 * [taylor]: Taking taylor expansion of 0 in lambda1 3.143 * [taylor]: Taking taylor expansion of 0 in lambda2 3.143 * [taylor]: Taking taylor expansion of 0 in R 3.143 * [taylor]: Taking taylor expansion of 0 in lambda1 3.143 * [taylor]: Taking taylor expansion of 0 in lambda2 3.143 * [taylor]: Taking taylor expansion of 0 in R 3.144 * [taylor]: Taking taylor expansion of 0 in lambda1 3.144 * [taylor]: Taking taylor expansion of 0 in lambda2 3.144 * [taylor]: Taking taylor expansion of 0 in R 3.144 * [taylor]: Taking taylor expansion of 0 in lambda2 3.144 * [taylor]: Taking taylor expansion of 0 in R 3.144 * [taylor]: Taking taylor expansion of 0 in lambda2 3.144 * [taylor]: Taking taylor expansion of 0 in R 3.144 * [taylor]: Taking taylor expansion of 0 in lambda2 3.144 * [taylor]: Taking taylor expansion of 0 in R 3.145 * [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 3.145 * [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 3.145 * [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 3.146 * [taylor]: Taking taylor expansion of R in R 3.146 * [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 3.146 * [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 3.146 * [taylor]: Taking taylor expansion of R in lambda2 3.147 * [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 3.147 * [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 3.147 * [taylor]: Taking taylor expansion of R in lambda1 3.148 * [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 3.148 * [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 3.148 * [taylor]: Taking taylor expansion of R in phi2 3.149 * [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 3.149 * [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 3.149 * [taylor]: Taking taylor expansion of R in phi1 3.149 * [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 3.150 * [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 3.150 * [taylor]: Taking taylor expansion of R in phi1 3.150 * [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 3.150 * [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 3.151 * [taylor]: Taking taylor expansion of R in phi2 3.151 * [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 3.151 * [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 3.152 * [taylor]: Taking taylor expansion of R in lambda1 3.152 * [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 3.152 * [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 3.153 * [taylor]: Taking taylor expansion of R in lambda2 3.153 * [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 3.153 * [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 3.153 * [taylor]: Taking taylor expansion of R in R 3.155 * [taylor]: Taking taylor expansion of 0 in phi2 3.155 * [taylor]: Taking taylor expansion of 0 in lambda1 3.155 * [taylor]: Taking taylor expansion of 0 in lambda2 3.155 * [taylor]: Taking taylor expansion of 0 in R 3.155 * [taylor]: Taking taylor expansion of 0 in lambda1 3.156 * [taylor]: Taking taylor expansion of 0 in lambda2 3.156 * [taylor]: Taking taylor expansion of 0 in R 3.156 * [taylor]: Taking taylor expansion of 0 in lambda2 3.156 * [taylor]: Taking taylor expansion of 0 in R 3.157 * [taylor]: Taking taylor expansion of 0 in R 3.157 * [taylor]: Taking taylor expansion of 0 in phi2 3.157 * [taylor]: Taking taylor expansion of 0 in lambda1 3.158 * [taylor]: Taking taylor expansion of 0 in lambda2 3.158 * [taylor]: Taking taylor expansion of 0 in R 3.158 * [taylor]: Taking taylor expansion of 0 in lambda1 3.158 * [taylor]: Taking taylor expansion of 0 in lambda2 3.158 * [taylor]: Taking taylor expansion of 0 in R 3.158 * [taylor]: Taking taylor expansion of 0 in lambda1 3.158 * [taylor]: Taking taylor expansion of 0 in lambda2 3.158 * [taylor]: Taking taylor expansion of 0 in R 3.158 * [taylor]: Taking taylor expansion of 0 in lambda2 3.158 * [taylor]: Taking taylor expansion of 0 in R 3.158 * [taylor]: Taking taylor expansion of 0 in lambda2 3.158 * [taylor]: Taking taylor expansion of 0 in R 3.159 * [taylor]: Taking taylor expansion of 0 in lambda2 3.159 * [taylor]: Taking taylor expansion of 0 in R 3.159 * [taylor]: Taking taylor expansion of 0 in R 3.159 * [taylor]: Taking taylor expansion of 0 in R 3.159 * [taylor]: Taking taylor expansion of 0 in R 3.159 * [taylor]: Taking taylor expansion of 0 in R 3.161 * [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 3.161 * [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 3.161 * [taylor]: Taking taylor expansion of -1 in R 3.161 * [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 3.161 * [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 3.162 * [taylor]: Taking taylor expansion of R in R 3.162 * [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 3.162 * [taylor]: Taking taylor expansion of -1 in lambda2 3.162 * [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 3.162 * [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 3.163 * [taylor]: Taking taylor expansion of R in lambda2 3.163 * [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 3.163 * [taylor]: Taking taylor expansion of -1 in lambda1 3.163 * [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 3.163 * [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 3.164 * [taylor]: Taking taylor expansion of R in lambda1 3.164 * [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 3.164 * [taylor]: Taking taylor expansion of -1 in phi2 3.164 * [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 3.164 * [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 3.165 * [taylor]: Taking taylor expansion of R in phi2 3.165 * [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 3.165 * [taylor]: Taking taylor expansion of -1 in phi1 3.165 * [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 3.165 * [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 3.166 * [taylor]: Taking taylor expansion of R in phi1 3.166 * [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 3.166 * [taylor]: Taking taylor expansion of -1 in phi1 3.166 * [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 3.166 * [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 3.167 * [taylor]: Taking taylor expansion of R in phi1 3.168 * [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 3.168 * [taylor]: Taking taylor expansion of -1 in phi2 3.168 * [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 3.168 * [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 3.168 * [taylor]: Taking taylor expansion of R in phi2 3.169 * [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 3.169 * [taylor]: Taking taylor expansion of -1 in lambda1 3.169 * [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 3.169 * [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 3.169 * [taylor]: Taking taylor expansion of R in lambda1 3.170 * [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 3.170 * [taylor]: Taking taylor expansion of -1 in lambda2 3.170 * [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 3.170 * [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 3.171 * [taylor]: Taking taylor expansion of R in lambda2 3.172 * [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 3.172 * [taylor]: Taking taylor expansion of -1 in R 3.172 * [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 3.172 * [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 3.172 * [taylor]: Taking taylor expansion of R in R 3.174 * [taylor]: Taking taylor expansion of 0 in phi2 3.174 * [taylor]: Taking taylor expansion of 0 in lambda1 3.174 * [taylor]: Taking taylor expansion of 0 in lambda2 3.174 * [taylor]: Taking taylor expansion of 0 in R 3.175 * [taylor]: Taking taylor expansion of 0 in lambda1 3.175 * [taylor]: Taking taylor expansion of 0 in lambda2 3.175 * [taylor]: Taking taylor expansion of 0 in R 3.176 * [taylor]: Taking taylor expansion of 0 in lambda2 3.176 * [taylor]: Taking taylor expansion of 0 in R 3.177 * [taylor]: Taking taylor expansion of 0 in R 3.179 * [taylor]: Taking taylor expansion of 0 in phi2 3.179 * [taylor]: Taking taylor expansion of 0 in lambda1 3.179 * [taylor]: Taking taylor expansion of 0 in lambda2 3.179 * [taylor]: Taking taylor expansion of 0 in R 3.179 * [taylor]: Taking taylor expansion of 0 in lambda1 3.179 * [taylor]: Taking taylor expansion of 0 in lambda2 3.179 * [taylor]: Taking taylor expansion of 0 in R 3.180 * [taylor]: Taking taylor expansion of 0 in lambda1 3.180 * [taylor]: Taking taylor expansion of 0 in lambda2 3.180 * [taylor]: Taking taylor expansion of 0 in R 3.180 * [taylor]: Taking taylor expansion of 0 in lambda2 3.180 * [taylor]: Taking taylor expansion of 0 in R 3.180 * [taylor]: Taking taylor expansion of 0 in lambda2 3.180 * [taylor]: Taking taylor expansion of 0 in R 3.181 * [taylor]: Taking taylor expansion of 0 in lambda2 3.181 * [taylor]: Taking taylor expansion of 0 in R 3.181 * [taylor]: Taking taylor expansion of 0 in R 3.181 * [taylor]: Taking taylor expansion of 0 in R 3.181 * [taylor]: Taking taylor expansion of 0 in R 3.182 * [taylor]: Taking taylor expansion of 0 in R 3.184 * * * [progress]: simplifying candidates 3.185 * [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) 3.193 * * [simplify]: iteration 0 : 95 enodes (cost 2374 ) 3.204 * * [simplify]: iteration 1 : 167 enodes (cost 2206 ) 3.228 * * [simplify]: iteration 2 : 389 enodes (cost 1930 ) 3.291 * * [simplify]: iteration 3 : 645 enodes (cost 1929 ) 3.384 * * [simplify]: iteration 4 : 991 enodes (cost 1929 ) 3.545 * * [simplify]: iteration 5 : 1893 enodes (cost 1929 ) 3.974 * * [simplify]: iteration done : 5000 enodes (cost 1929 ) 3.975 * [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))))))))) (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))))))))) 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)))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (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)))))))) (exp (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (pow (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 3) (* (cbrt (* 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 (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)))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (* R (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R (* R (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* R (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (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)))))) (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))))))) (* (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) 3.975 * * * [progress]: adding candidates to table 4.049 * * [progress]: iteration 4 / 4 4.049 * * * [progress]: picking best candidate 4.137 * * * * [pick]: Picked # 4.137 * * * [progress]: localizing error 4.173 * * * [progress]: generating rewritten candidates 4.173 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 4.182 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 2) 4.183 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 4.195 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 4.205 * * * [progress]: generating series expansions 4.205 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 4.206 * [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 4.206 * [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 4.206 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 4.206 * [taylor]: Taking taylor expansion of 1/2 in lambda2 4.206 * [taylor]: Taking taylor expansion of PI in lambda2 4.206 * [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 4.206 * [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 4.206 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 4.206 * [taylor]: Taking taylor expansion of 1/2 in lambda1 4.206 * [taylor]: Taking taylor expansion of PI in lambda1 4.206 * [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 4.207 * [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 4.207 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 4.207 * [taylor]: Taking taylor expansion of 1/2 in phi2 4.207 * [taylor]: Taking taylor expansion of PI in phi2 4.207 * [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 4.207 * [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 4.207 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 4.207 * [taylor]: Taking taylor expansion of 1/2 in phi1 4.207 * [taylor]: Taking taylor expansion of PI in phi1 4.207 * [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 4.207 * [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 4.207 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 4.207 * [taylor]: Taking taylor expansion of 1/2 in phi1 4.207 * [taylor]: Taking taylor expansion of PI in phi1 4.207 * [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 4.208 * [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 4.208 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 4.208 * [taylor]: Taking taylor expansion of 1/2 in phi2 4.208 * [taylor]: Taking taylor expansion of PI in phi2 4.208 * [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 4.209 * [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 4.209 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 4.209 * [taylor]: Taking taylor expansion of 1/2 in lambda1 4.209 * [taylor]: Taking taylor expansion of PI in lambda1 4.210 * [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 4.210 * [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 4.210 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 4.211 * [taylor]: Taking taylor expansion of 1/2 in lambda2 4.211 * [taylor]: Taking taylor expansion of PI in lambda2 4.211 * [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 4.212 * [taylor]: Taking taylor expansion of 0 in phi2 4.212 * [taylor]: Taking taylor expansion of 0 in lambda1 4.212 * [taylor]: Taking taylor expansion of 0 in lambda2 4.212 * [taylor]: Taking taylor expansion of 0 in lambda1 4.212 * [taylor]: Taking taylor expansion of 0 in lambda2 4.212 * [taylor]: Taking taylor expansion of 0 in lambda2 4.212 * [taylor]: Taking taylor expansion of 0 in phi2 4.212 * [taylor]: Taking taylor expansion of 0 in lambda1 4.212 * [taylor]: Taking taylor expansion of 0 in lambda2 4.212 * [taylor]: Taking taylor expansion of 0 in lambda1 4.212 * [taylor]: Taking taylor expansion of 0 in lambda2 4.213 * [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 4.213 * [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 4.213 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 4.213 * [taylor]: Taking taylor expansion of 1/2 in lambda2 4.213 * [taylor]: Taking taylor expansion of PI in lambda2 4.213 * [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 4.214 * [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 4.214 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 4.214 * [taylor]: Taking taylor expansion of 1/2 in lambda1 4.214 * [taylor]: Taking taylor expansion of PI in lambda1 4.214 * [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 4.214 * [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 4.214 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 4.214 * [taylor]: Taking taylor expansion of 1/2 in phi2 4.214 * [taylor]: Taking taylor expansion of PI in phi2 4.214 * [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 4.215 * [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 4.215 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 4.215 * [taylor]: Taking taylor expansion of 1/2 in phi1 4.215 * [taylor]: Taking taylor expansion of PI in phi1 4.215 * [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 4.215 * [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 4.215 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 4.215 * [taylor]: Taking taylor expansion of 1/2 in phi1 4.215 * [taylor]: Taking taylor expansion of PI in phi1 4.215 * [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 4.217 * [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 4.217 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 4.217 * [taylor]: Taking taylor expansion of 1/2 in phi2 4.217 * [taylor]: Taking taylor expansion of PI in phi2 4.217 * [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 4.218 * [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 4.218 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 4.218 * [taylor]: Taking taylor expansion of 1/2 in lambda1 4.218 * [taylor]: Taking taylor expansion of PI in lambda1 4.218 * [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 4.219 * [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 4.219 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 4.219 * [taylor]: Taking taylor expansion of 1/2 in lambda2 4.219 * [taylor]: Taking taylor expansion of PI in lambda2 4.219 * [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 4.221 * [taylor]: Taking taylor expansion of 0 in phi2 4.221 * [taylor]: Taking taylor expansion of 0 in lambda1 4.221 * [taylor]: Taking taylor expansion of 0 in lambda2 4.221 * [taylor]: Taking taylor expansion of 0 in lambda1 4.221 * [taylor]: Taking taylor expansion of 0 in lambda2 4.222 * [taylor]: Taking taylor expansion of 0 in lambda2 4.222 * [taylor]: Taking taylor expansion of 0 in phi2 4.222 * [taylor]: Taking taylor expansion of 0 in lambda1 4.222 * [taylor]: Taking taylor expansion of 0 in lambda2 4.222 * [taylor]: Taking taylor expansion of 0 in lambda1 4.222 * [taylor]: Taking taylor expansion of 0 in lambda2 4.223 * [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 4.223 * [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 4.223 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 4.223 * [taylor]: Taking taylor expansion of 1/2 in lambda2 4.223 * [taylor]: Taking taylor expansion of PI in lambda2 4.223 * [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 4.223 * [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 4.223 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 4.223 * [taylor]: Taking taylor expansion of 1/2 in lambda1 4.223 * [taylor]: Taking taylor expansion of PI in lambda1 4.223 * [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 4.224 * [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 4.224 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 4.224 * [taylor]: Taking taylor expansion of 1/2 in phi2 4.224 * [taylor]: Taking taylor expansion of PI in phi2 4.224 * [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 4.224 * [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 4.224 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 4.224 * [taylor]: Taking taylor expansion of 1/2 in phi1 4.224 * [taylor]: Taking taylor expansion of PI in phi1 4.224 * [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 4.225 * [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 4.225 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 4.225 * [taylor]: Taking taylor expansion of 1/2 in phi1 4.225 * [taylor]: Taking taylor expansion of PI in phi1 4.225 * [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 4.226 * [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 4.226 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 4.226 * [taylor]: Taking taylor expansion of 1/2 in phi2 4.226 * [taylor]: Taking taylor expansion of PI in phi2 4.226 * [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 4.228 * [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 4.228 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 4.228 * [taylor]: Taking taylor expansion of 1/2 in lambda1 4.228 * [taylor]: Taking taylor expansion of PI in lambda1 4.228 * [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 4.229 * [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 4.229 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 4.229 * [taylor]: Taking taylor expansion of 1/2 in lambda2 4.229 * [taylor]: Taking taylor expansion of PI in lambda2 4.229 * [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 4.231 * [taylor]: Taking taylor expansion of 0 in phi2 4.231 * [taylor]: Taking taylor expansion of 0 in lambda1 4.231 * [taylor]: Taking taylor expansion of 0 in lambda2 4.231 * [taylor]: Taking taylor expansion of 0 in lambda1 4.231 * [taylor]: Taking taylor expansion of 0 in lambda2 4.231 * [taylor]: Taking taylor expansion of 0 in lambda2 4.231 * [taylor]: Taking taylor expansion of 0 in phi2 4.231 * [taylor]: Taking taylor expansion of 0 in lambda1 4.231 * [taylor]: Taking taylor expansion of 0 in lambda2 4.232 * [taylor]: Taking taylor expansion of 0 in lambda1 4.232 * [taylor]: Taking taylor expansion of 0 in lambda2 4.232 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 2) 4.232 * [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 4.232 * [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 4.233 * [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 4.233 * [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 4.233 * [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 4.234 * [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 4.234 * [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 4.234 * [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 4.235 * [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 4.235 * [taylor]: Taking taylor expansion of 0 in phi2 4.235 * [taylor]: Taking taylor expansion of 0 in lambda1 4.235 * [taylor]: Taking taylor expansion of 0 in lambda2 4.235 * [taylor]: Taking taylor expansion of 0 in lambda1 4.235 * [taylor]: Taking taylor expansion of 0 in lambda2 4.235 * [taylor]: Taking taylor expansion of 0 in lambda2 4.235 * [taylor]: Taking taylor expansion of 0 in phi2 4.236 * [taylor]: Taking taylor expansion of 0 in lambda1 4.236 * [taylor]: Taking taylor expansion of 0 in lambda2 4.236 * [taylor]: Taking taylor expansion of 0 in lambda1 4.236 * [taylor]: Taking taylor expansion of 0 in lambda2 4.236 * [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 4.236 * [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 4.237 * [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 4.237 * [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 4.238 * [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 4.238 * [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 4.238 * [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 4.239 * [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 4.239 * [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 4.240 * [taylor]: Taking taylor expansion of 0 in phi2 4.240 * [taylor]: Taking taylor expansion of 0 in lambda1 4.240 * [taylor]: Taking taylor expansion of 0 in lambda2 4.240 * [taylor]: Taking taylor expansion of 0 in lambda1 4.240 * [taylor]: Taking taylor expansion of 0 in lambda2 4.240 * [taylor]: Taking taylor expansion of 0 in lambda2 4.241 * [taylor]: Taking taylor expansion of 0 in phi2 4.241 * [taylor]: Taking taylor expansion of 0 in lambda1 4.241 * [taylor]: Taking taylor expansion of 0 in lambda2 4.241 * [taylor]: Taking taylor expansion of 0 in lambda1 4.241 * [taylor]: Taking taylor expansion of 0 in lambda2 4.242 * [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 4.242 * [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 4.242 * [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 4.243 * [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 4.243 * [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 4.243 * [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 4.244 * [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 4.244 * [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 4.245 * [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 4.246 * [taylor]: Taking taylor expansion of 0 in phi2 4.246 * [taylor]: Taking taylor expansion of 0 in lambda1 4.246 * [taylor]: Taking taylor expansion of 0 in lambda2 4.246 * [taylor]: Taking taylor expansion of 0 in lambda1 4.246 * [taylor]: Taking taylor expansion of 0 in lambda2 4.246 * [taylor]: Taking taylor expansion of 0 in lambda2 4.246 * [taylor]: Taking taylor expansion of 0 in phi2 4.246 * [taylor]: Taking taylor expansion of 0 in lambda1 4.246 * [taylor]: Taking taylor expansion of 0 in lambda2 4.246 * [taylor]: Taking taylor expansion of 0 in lambda1 4.246 * [taylor]: Taking taylor expansion of 0 in lambda2 4.247 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 4.247 * [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 4.247 * [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 4.247 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 4.247 * [taylor]: Taking taylor expansion of 1/2 in lambda2 4.247 * [taylor]: Taking taylor expansion of PI in lambda2 4.247 * [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 4.247 * [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 4.247 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 4.247 * [taylor]: Taking taylor expansion of 1/2 in lambda1 4.247 * [taylor]: Taking taylor expansion of PI in lambda1 4.247 * [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 4.248 * [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 4.248 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 4.248 * [taylor]: Taking taylor expansion of 1/2 in phi2 4.248 * [taylor]: Taking taylor expansion of PI in phi2 4.248 * [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 4.248 * [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 4.248 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 4.248 * [taylor]: Taking taylor expansion of 1/2 in phi1 4.248 * [taylor]: Taking taylor expansion of PI in phi1 4.248 * [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 4.249 * [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 4.249 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 4.249 * [taylor]: Taking taylor expansion of 1/2 in phi1 4.249 * [taylor]: Taking taylor expansion of PI in phi1 4.249 * [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 4.250 * [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 4.250 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 4.250 * [taylor]: Taking taylor expansion of 1/2 in phi2 4.250 * [taylor]: Taking taylor expansion of PI in phi2 4.250 * [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 4.251 * [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 4.251 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 4.251 * [taylor]: Taking taylor expansion of 1/2 in lambda1 4.251 * [taylor]: Taking taylor expansion of PI in lambda1 4.251 * [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 4.252 * [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 4.252 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 4.252 * [taylor]: Taking taylor expansion of 1/2 in lambda2 4.252 * [taylor]: Taking taylor expansion of PI in lambda2 4.252 * [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 4.253 * [taylor]: Taking taylor expansion of 0 in phi2 4.253 * [taylor]: Taking taylor expansion of 0 in lambda1 4.253 * [taylor]: Taking taylor expansion of 0 in lambda2 4.253 * [taylor]: Taking taylor expansion of 0 in lambda1 4.253 * [taylor]: Taking taylor expansion of 0 in lambda2 4.253 * [taylor]: Taking taylor expansion of 0 in lambda2 4.253 * [taylor]: Taking taylor expansion of 0 in phi2 4.253 * [taylor]: Taking taylor expansion of 0 in lambda1 4.253 * [taylor]: Taking taylor expansion of 0 in lambda2 4.253 * [taylor]: Taking taylor expansion of 0 in lambda1 4.253 * [taylor]: Taking taylor expansion of 0 in lambda2 4.254 * [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 4.254 * [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 4.254 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 4.254 * [taylor]: Taking taylor expansion of 1/2 in lambda2 4.254 * [taylor]: Taking taylor expansion of PI in lambda2 4.254 * [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 4.255 * [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 4.255 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 4.255 * [taylor]: Taking taylor expansion of 1/2 in lambda1 4.255 * [taylor]: Taking taylor expansion of PI in lambda1 4.255 * [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 4.255 * [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 4.255 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 4.255 * [taylor]: Taking taylor expansion of 1/2 in phi2 4.255 * [taylor]: Taking taylor expansion of PI in phi2 4.255 * [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 4.256 * [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 4.256 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 4.256 * [taylor]: Taking taylor expansion of 1/2 in phi1 4.256 * [taylor]: Taking taylor expansion of PI in phi1 4.256 * [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 4.256 * [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 4.256 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 4.256 * [taylor]: Taking taylor expansion of 1/2 in phi1 4.256 * [taylor]: Taking taylor expansion of PI in phi1 4.256 * [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 4.258 * [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 4.258 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 4.258 * [taylor]: Taking taylor expansion of 1/2 in phi2 4.258 * [taylor]: Taking taylor expansion of PI in phi2 4.258 * [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 4.259 * [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 4.259 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 4.259 * [taylor]: Taking taylor expansion of 1/2 in lambda1 4.259 * [taylor]: Taking taylor expansion of PI in lambda1 4.259 * [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 4.260 * [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 4.260 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 4.260 * [taylor]: Taking taylor expansion of 1/2 in lambda2 4.260 * [taylor]: Taking taylor expansion of PI in lambda2 4.260 * [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 4.262 * [taylor]: Taking taylor expansion of 0 in phi2 4.262 * [taylor]: Taking taylor expansion of 0 in lambda1 4.262 * [taylor]: Taking taylor expansion of 0 in lambda2 4.262 * [taylor]: Taking taylor expansion of 0 in lambda1 4.262 * [taylor]: Taking taylor expansion of 0 in lambda2 4.262 * [taylor]: Taking taylor expansion of 0 in lambda2 4.263 * [taylor]: Taking taylor expansion of 0 in phi2 4.263 * [taylor]: Taking taylor expansion of 0 in lambda1 4.263 * [taylor]: Taking taylor expansion of 0 in lambda2 4.263 * [taylor]: Taking taylor expansion of 0 in lambda1 4.263 * [taylor]: Taking taylor expansion of 0 in lambda2 4.264 * [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 4.264 * [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 4.264 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 4.264 * [taylor]: Taking taylor expansion of 1/2 in lambda2 4.264 * [taylor]: Taking taylor expansion of PI in lambda2 4.264 * [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 4.264 * [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 4.264 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 4.264 * [taylor]: Taking taylor expansion of 1/2 in lambda1 4.264 * [taylor]: Taking taylor expansion of PI in lambda1 4.264 * [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 4.265 * [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 4.265 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 4.265 * [taylor]: Taking taylor expansion of 1/2 in phi2 4.265 * [taylor]: Taking taylor expansion of PI in phi2 4.265 * [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 4.265 * [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 4.265 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 4.265 * [taylor]: Taking taylor expansion of 1/2 in phi1 4.265 * [taylor]: Taking taylor expansion of PI in phi1 4.265 * [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 4.266 * [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 4.266 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 4.266 * [taylor]: Taking taylor expansion of 1/2 in phi1 4.266 * [taylor]: Taking taylor expansion of PI in phi1 4.266 * [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 4.267 * [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 4.267 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 4.267 * [taylor]: Taking taylor expansion of 1/2 in phi2 4.267 * [taylor]: Taking taylor expansion of PI in phi2 4.267 * [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 4.269 * [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 4.269 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 4.269 * [taylor]: Taking taylor expansion of 1/2 in lambda1 4.269 * [taylor]: Taking taylor expansion of PI in lambda1 4.269 * [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 4.270 * [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 4.270 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 4.270 * [taylor]: Taking taylor expansion of 1/2 in lambda2 4.270 * [taylor]: Taking taylor expansion of PI in lambda2 4.270 * [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 4.272 * [taylor]: Taking taylor expansion of 0 in phi2 4.272 * [taylor]: Taking taylor expansion of 0 in lambda1 4.272 * [taylor]: Taking taylor expansion of 0 in lambda2 4.272 * [taylor]: Taking taylor expansion of 0 in lambda1 4.272 * [taylor]: Taking taylor expansion of 0 in lambda2 4.272 * [taylor]: Taking taylor expansion of 0 in lambda2 4.272 * [taylor]: Taking taylor expansion of 0 in phi2 4.272 * [taylor]: Taking taylor expansion of 0 in lambda1 4.272 * [taylor]: Taking taylor expansion of 0 in lambda2 4.272 * [taylor]: Taking taylor expansion of 0 in lambda1 4.272 * [taylor]: Taking taylor expansion of 0 in lambda2 4.273 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 4.273 * [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 4.273 * [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 4.274 * [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 4.274 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 4.274 * [taylor]: Taking taylor expansion of 1/2 in lambda2 4.274 * [taylor]: Taking taylor expansion of PI in lambda2 4.274 * [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 4.275 * [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 4.275 * [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 4.275 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 4.275 * [taylor]: Taking taylor expansion of 1/2 in lambda1 4.275 * [taylor]: Taking taylor expansion of PI in lambda1 4.275 * [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 4.276 * [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 4.276 * [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 4.276 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 4.276 * [taylor]: Taking taylor expansion of 1/2 in phi2 4.276 * [taylor]: Taking taylor expansion of PI in phi2 4.276 * [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 4.280 * [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 4.280 * [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 4.280 * [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 (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi1 4.282 * [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 4.282 * [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 4.282 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 4.282 * [taylor]: Taking taylor expansion of 1/2 in phi1 4.282 * [taylor]: Taking taylor expansion of PI in phi1 4.282 * [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 4.283 * [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 4.283 * [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 4.283 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 4.283 * [taylor]: Taking taylor expansion of 1/2 in phi2 4.283 * [taylor]: Taking taylor expansion of PI in phi2 4.283 * [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 4.284 * [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 4.284 * [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 4.284 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 4.284 * [taylor]: Taking taylor expansion of 1/2 in lambda1 4.284 * [taylor]: Taking taylor expansion of PI in lambda1 4.284 * [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 4.286 * [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 4.286 * [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 4.286 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 4.286 * [taylor]: Taking taylor expansion of 1/2 in lambda2 4.286 * [taylor]: Taking taylor expansion of PI in lambda2 4.286 * [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 4.288 * [taylor]: Taking taylor expansion of 0 in phi2 4.288 * [taylor]: Taking taylor expansion of 0 in lambda1 4.288 * [taylor]: Taking taylor expansion of 0 in lambda2 4.288 * [taylor]: Taking taylor expansion of 0 in lambda1 4.288 * [taylor]: Taking taylor expansion of 0 in lambda2 4.289 * [taylor]: Taking taylor expansion of 0 in lambda2 4.290 * [taylor]: Taking taylor expansion of 0 in phi2 4.290 * [taylor]: Taking taylor expansion of 0 in lambda1 4.290 * [taylor]: Taking taylor expansion of 0 in lambda2 4.290 * [taylor]: Taking taylor expansion of 0 in lambda1 4.290 * [taylor]: Taking taylor expansion of 0 in lambda2 4.291 * [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 4.291 * [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 4.291 * [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 4.291 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 4.291 * [taylor]: Taking taylor expansion of 1/2 in lambda2 4.291 * [taylor]: Taking taylor expansion of PI in lambda2 4.291 * [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 4.292 * [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 4.292 * [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 4.292 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 4.292 * [taylor]: Taking taylor expansion of 1/2 in lambda1 4.292 * [taylor]: Taking taylor expansion of PI in lambda1 4.293 * [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 4.294 * [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 4.294 * [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 4.294 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 4.294 * [taylor]: Taking taylor expansion of 1/2 in phi2 4.294 * [taylor]: Taking taylor expansion of PI in phi2 4.294 * [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 4.296 * [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 4.296 * [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 4.296 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 4.296 * [taylor]: Taking taylor expansion of 1/2 in phi1 4.296 * [taylor]: Taking taylor expansion of PI in phi1 4.296 * [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 4.298 * [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 4.298 * [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 4.298 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 4.298 * [taylor]: Taking taylor expansion of 1/2 in phi1 4.298 * [taylor]: Taking taylor expansion of PI in phi1 4.298 * [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 4.300 * [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 4.300 * [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 4.300 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 4.300 * [taylor]: Taking taylor expansion of 1/2 in phi2 4.300 * [taylor]: Taking taylor expansion of PI in phi2 4.300 * [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 (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 4.302 * [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 4.302 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 4.302 * [taylor]: Taking taylor expansion of 1/2 in lambda1 4.302 * [taylor]: Taking taylor expansion of PI 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 lambda1 4.304 * [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 4.304 * [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 4.304 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 4.304 * [taylor]: Taking taylor expansion of 1/2 in lambda2 4.304 * [taylor]: Taking taylor expansion of PI in lambda2 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 4.307 * [taylor]: Taking taylor expansion of 0 in phi2 4.307 * [taylor]: Taking taylor expansion of 0 in lambda1 4.307 * [taylor]: Taking taylor expansion of 0 in lambda2 4.307 * [taylor]: Taking taylor expansion of 0 in lambda1 4.307 * [taylor]: Taking taylor expansion of 0 in lambda2 4.308 * [taylor]: Taking taylor expansion of 0 in lambda2 4.309 * [taylor]: Taking taylor expansion of 0 in phi2 4.309 * [taylor]: Taking taylor expansion of 0 in lambda1 4.309 * [taylor]: Taking taylor expansion of 0 in lambda2 4.309 * [taylor]: Taking taylor expansion of 0 in lambda1 4.309 * [taylor]: Taking taylor expansion of 0 in lambda2 4.310 * [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 4.310 * [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 4.310 * [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 4.310 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 4.310 * [taylor]: Taking taylor expansion of 1/2 in lambda2 4.310 * [taylor]: Taking taylor expansion of PI in lambda2 4.310 * [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 4.312 * [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 4.312 * [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 4.312 * [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 (+ (* (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 4.314 * [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 4.314 * [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 4.314 * [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 (+ (* (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 4.316 * [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 4.316 * [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 4.316 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 4.316 * [taylor]: Taking taylor expansion of 1/2 in phi1 4.316 * [taylor]: Taking taylor expansion of PI in phi1 4.316 * [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 4.317 * [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 4.317 * [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 4.317 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 4.317 * [taylor]: Taking taylor expansion of 1/2 in phi1 4.317 * [taylor]: Taking taylor expansion of PI in phi1 4.318 * [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 4.319 * [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 4.319 * [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 4.319 * [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 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 4.321 * [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 4.321 * [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 4.321 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 4.321 * [taylor]: Taking taylor expansion of 1/2 in lambda1 4.321 * [taylor]: Taking taylor expansion of PI in lambda1 4.321 * [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 4.323 * [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 4.323 * [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 4.323 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 4.323 * [taylor]: Taking taylor expansion of 1/2 in lambda2 4.323 * [taylor]: Taking taylor expansion of PI in lambda2 4.323 * [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 4.326 * [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 * [taylor]: Taking taylor expansion of 0 in lambda2 4.328 * [taylor]: Taking taylor expansion of 0 in phi2 4.328 * [taylor]: Taking taylor expansion of 0 in lambda1 4.328 * [taylor]: Taking taylor expansion of 0 in lambda2 4.328 * [taylor]: Taking taylor expansion of 0 in lambda1 4.328 * [taylor]: Taking taylor expansion of 0 in lambda2 4.329 * * * [progress]: simplifying candidates 4.331 * [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)))))))) (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (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))))))))))) (log (exp (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (log (exp 1)) (log (exp (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (log (exp (+ (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (log (exp 1)) (log (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (exp (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (* (cbrt (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (cbrt (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))) (cbrt (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))))))))) (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 lambda2)))))))))) (exp (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (exp 1) (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))))))))) (exp 1) (exp (/ PI 2)) (exp (neg (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp (- (/ PI 2) (/ PI 2))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (/ PI 2)) (exp (neg (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp (/ PI 2)) (exp (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))))))))) (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))))))))) (* (* (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))))))))) 4.337 * * [simplify]: iteration 0 : 109 enodes (cost 2805 ) 4.350 * * [simplify]: iteration 1 : 207 enodes (cost 2579 ) 4.378 * * [simplify]: iteration 2 : 422 enodes (cost 2381 ) 4.437 * * [simplify]: iteration 3 : 824 enodes (cost 2377 ) 4.579 * * [simplify]: iteration 4 : 1990 enodes (cost 2377 ) 4.989 * * [simplify]: iteration done : 5000 enodes (cost 2377 ) 4.990 * [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 (+ (* (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)))))))) (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 0 (neg (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* 1/2 PI) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (pow (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* 1/2 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 (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) (- (* 1/2 PI) (asin (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) (- (* 1/2 PI) (asin (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) (asin (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))) (asin (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))) (asin (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))) (- (* 1/2 PI) (asin (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) (- (* 1/2 PI) (asin (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) (- (* 1/2 PI) (asin (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) (exp (- (* 1/2 PI) (asin (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) (exp (- (* 1/2 PI) (asin (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) (exp (- (* 1/2 PI) (asin (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) 4.991 * * * [progress]: adding candidates to table 5.106 * [progress]: [Phase 3 of 3] Extracting. 5.106 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # #) 5.127 * * * [regime-changes]: Trying 5 branch expressions: (phi2 phi1 lambda2 lambda1 R) 5.127 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # # # # # # # #) 5.285 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # # # # # # # #) 5.439 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # # # # # # # # #) 5.597 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # # # # # # # #) 5.752 * * * * [regimes]: Trying to branch on R from (# # # # # # # # # # # # # # #) 5.909 * * * [regime]: Found split indices: #