12.161 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 3.297 * * * [progress]: [2/2] Setting up program. 3.302 * [progress]: [Phase 2 of 3] Improving. 3.302 * [simplify]: Simplifying using # : (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 3.305 * * [simplify]: iteration 0 : 30 enodes (cost 19 ) 3.305 * * [simplify]: iteration 1 : 30 enodes (cost 19 ) 3.305 * [simplify]: Simplified to: (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))))) R) 3.316 * * [progress]: iteration 1 / 4 3.316 * * * [progress]: picking best candidate 3.328 * * * * [pick]: Picked # 3.328 * * * [progress]: localizing error 3.352 * * * [progress]: generating rewritten candidates 3.352 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 3.356 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 3.357 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 3.360 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 3.365 * * * [progress]: generating series expansions 3.365 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 3.365 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 3.365 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 3.365 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 3.365 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.365 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.366 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 3.366 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 3.366 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.366 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.366 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 3.366 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 3.366 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.366 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.366 * [taylor]: Taking taylor expansion of (cos (neg lambda2)) in lambda2 3.366 * [taylor]: Taking taylor expansion of (neg lambda2) in lambda2 3.366 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.368 * [taylor]: Taking taylor expansion of (neg (sin (neg lambda2))) in lambda2 3.368 * [taylor]: Taking taylor expansion of (sin (neg lambda2)) in lambda2 3.368 * [taylor]: Taking taylor expansion of (neg lambda2) in lambda2 3.368 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.368 * [taylor]: Taking taylor expansion of (neg (* 1/2 (cos (neg lambda2)))) in lambda2 3.368 * [taylor]: Taking taylor expansion of (* 1/2 (cos (neg lambda2))) in lambda2 3.368 * [taylor]: Taking taylor expansion of 1/2 in lambda2 3.368 * [taylor]: Taking taylor expansion of (cos (neg lambda2)) in lambda2 3.368 * [taylor]: Taking taylor expansion of (neg lambda2) in lambda2 3.368 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.368 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 3.368 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 3.368 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 3.369 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 3.369 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.369 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 3.369 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.369 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 3.369 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 3.369 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 3.369 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.369 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 3.369 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.369 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 3.369 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 3.369 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 3.369 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.369 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 3.369 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.369 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 3.369 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 3.369 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 3.369 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.369 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 3.369 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.369 * [taylor]: Taking taylor expansion of 0 in lambda2 3.369 * [taylor]: Taking taylor expansion of 0 in lambda2 3.369 * [taylor]: Taking taylor expansion of 0 in lambda2 3.370 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 3.370 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 3.370 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 3.370 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 3.370 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.370 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 3.370 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.370 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 3.370 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 3.370 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 3.370 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.370 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 3.370 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.370 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 3.370 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 3.370 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 3.370 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.370 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 3.370 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.370 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 3.370 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 3.370 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 3.370 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.370 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 3.370 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.370 * [taylor]: Taking taylor expansion of 0 in lambda2 3.370 * [taylor]: Taking taylor expansion of 0 in lambda2 3.370 * [taylor]: Taking taylor expansion of 0 in lambda2 3.371 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 3.371 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 3.371 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 3.372 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 3.372 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 3.372 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 3.372 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 3.373 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 3.373 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 3.373 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 3.373 * [taylor]: Taking taylor expansion of 0 in phi2 3.373 * [taylor]: Taking taylor expansion of 0 in lambda1 3.373 * [taylor]: Taking taylor expansion of 0 in lambda2 3.373 * [taylor]: Taking taylor expansion of 0 in lambda1 3.373 * [taylor]: Taking taylor expansion of 0 in lambda2 3.373 * [taylor]: Taking taylor expansion of 0 in lambda2 3.373 * [taylor]: Taking taylor expansion of 0 in phi2 3.373 * [taylor]: Taking taylor expansion of 0 in lambda1 3.373 * [taylor]: Taking taylor expansion of 0 in lambda2 3.373 * [taylor]: Taking taylor expansion of 0 in lambda1 3.373 * [taylor]: Taking taylor expansion of 0 in lambda2 3.374 * [approximate]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 3.374 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2 3.374 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1 3.374 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2 3.374 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1 3.375 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1 3.375 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2 3.375 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1 3.375 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2 3.376 * [taylor]: Taking taylor expansion of 0 in phi2 3.376 * [taylor]: Taking taylor expansion of 0 in lambda1 3.376 * [taylor]: Taking taylor expansion of 0 in lambda2 3.376 * [taylor]: Taking taylor expansion of 0 in lambda1 3.376 * [taylor]: Taking taylor expansion of 0 in lambda2 3.376 * [taylor]: Taking taylor expansion of 0 in lambda2 3.376 * [taylor]: Taking taylor expansion of 0 in phi2 3.376 * [taylor]: Taking taylor expansion of 0 in lambda1 3.376 * [taylor]: Taking taylor expansion of 0 in lambda2 3.376 * [taylor]: Taking taylor expansion of 0 in lambda1 3.376 * [taylor]: Taking taylor expansion of 0 in lambda2 3.376 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 3.376 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 3.377 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 3.377 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 3.377 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 3.377 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 3.377 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 3.378 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 3.378 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 3.378 * [taylor]: Taking taylor expansion of 0 in phi2 3.378 * [taylor]: Taking taylor expansion of 0 in lambda1 3.378 * [taylor]: Taking taylor expansion of 0 in lambda2 3.378 * [taylor]: Taking taylor expansion of 0 in lambda1 3.378 * [taylor]: Taking taylor expansion of 0 in lambda2 3.378 * [taylor]: Taking taylor expansion of 0 in lambda2 3.378 * [taylor]: Taking taylor expansion of 0 in phi2 3.378 * [taylor]: Taking taylor expansion of 0 in lambda1 3.378 * [taylor]: Taking taylor expansion of 0 in lambda2 3.378 * [taylor]: Taking taylor expansion of 0 in lambda1 3.379 * [taylor]: Taking taylor expansion of 0 in lambda2 3.379 * * * * [progress]: [ 3 / 4 ] generating series at (2) 3.379 * [approximate]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 3.379 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 3.379 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 3.379 * [taylor]: Taking taylor expansion of R in R 3.379 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 3.379 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 3.379 * [taylor]: Taking taylor expansion of R in lambda2 3.379 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 3.379 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 3.380 * [taylor]: Taking taylor expansion of R in lambda1 3.380 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 3.380 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 3.380 * [taylor]: Taking taylor expansion of R in phi2 3.380 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 3.380 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 3.380 * [taylor]: Taking taylor expansion of R in phi1 3.380 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 3.380 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 3.380 * [taylor]: Taking taylor expansion of R in phi1 3.380 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 3.380 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 3.380 * [taylor]: Taking taylor expansion of R in phi2 3.380 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 3.381 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 3.381 * [taylor]: Taking taylor expansion of R in lambda1 3.381 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 3.381 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 3.381 * [taylor]: Taking taylor expansion of R in lambda2 3.381 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 3.381 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 3.381 * [taylor]: Taking taylor expansion of R in R 3.381 * [taylor]: Taking taylor expansion of 0 in phi2 3.382 * [taylor]: Taking taylor expansion of 0 in lambda1 3.382 * [taylor]: Taking taylor expansion of 0 in lambda2 3.382 * [taylor]: Taking taylor expansion of 0 in R 3.382 * [taylor]: Taking taylor expansion of 0 in lambda1 3.382 * [taylor]: Taking taylor expansion of 0 in lambda2 3.382 * [taylor]: Taking taylor expansion of 0 in R 3.382 * [taylor]: Taking taylor expansion of 0 in lambda2 3.382 * [taylor]: Taking taylor expansion of 0 in R 3.382 * [taylor]: Taking taylor expansion of 0 in R 3.383 * [taylor]: Taking taylor expansion of 0 in phi2 3.383 * [taylor]: Taking taylor expansion of 0 in lambda1 3.383 * [taylor]: Taking taylor expansion of 0 in lambda2 3.383 * [taylor]: Taking taylor expansion of 0 in R 3.383 * [taylor]: Taking taylor expansion of 0 in lambda1 3.383 * [taylor]: Taking taylor expansion of 0 in lambda2 3.383 * [taylor]: Taking taylor expansion of 0 in R 3.383 * [taylor]: Taking taylor expansion of 0 in lambda1 3.383 * [taylor]: Taking taylor expansion of 0 in lambda2 3.383 * [taylor]: Taking taylor expansion of 0 in R 3.383 * [taylor]: Taking taylor expansion of 0 in lambda2 3.383 * [taylor]: Taking taylor expansion of 0 in R 3.383 * [taylor]: Taking taylor expansion of 0 in lambda2 3.383 * [taylor]: Taking taylor expansion of 0 in R 3.383 * [taylor]: Taking taylor expansion of 0 in lambda2 3.383 * [taylor]: Taking taylor expansion of 0 in R 3.384 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 3.384 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in R 3.384 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in R 3.384 * [taylor]: Taking taylor expansion of R in R 3.384 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda2 3.384 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2 3.384 * [taylor]: Taking taylor expansion of R in lambda2 3.385 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda1 3.385 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1 3.385 * [taylor]: Taking taylor expansion of R in lambda1 3.385 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi2 3.385 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2 3.385 * [taylor]: Taking taylor expansion of R in phi2 3.386 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi1 3.386 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1 3.386 * [taylor]: Taking taylor expansion of R in phi1 3.386 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi1 3.386 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1 3.386 * [taylor]: Taking taylor expansion of R in phi1 3.386 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi2 3.386 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2 3.387 * [taylor]: Taking taylor expansion of R in phi2 3.387 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda1 3.387 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1 3.387 * [taylor]: Taking taylor expansion of R in lambda1 3.387 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda2 3.387 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2 3.387 * [taylor]: Taking taylor expansion of R in lambda2 3.388 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in R 3.388 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in R 3.388 * [taylor]: Taking taylor expansion of R in R 3.389 * [taylor]: Taking taylor expansion of 0 in phi2 3.389 * [taylor]: Taking taylor expansion of 0 in lambda1 3.389 * [taylor]: Taking taylor expansion of 0 in lambda2 3.389 * [taylor]: Taking taylor expansion of 0 in R 3.389 * [taylor]: Taking taylor expansion of 0 in lambda1 3.389 * [taylor]: Taking taylor expansion of 0 in lambda2 3.389 * [taylor]: Taking taylor expansion of 0 in R 3.389 * [taylor]: Taking taylor expansion of 0 in lambda2 3.389 * [taylor]: Taking taylor expansion of 0 in R 3.389 * [taylor]: Taking taylor expansion of 0 in R 3.390 * [taylor]: Taking taylor expansion of 0 in phi2 3.390 * [taylor]: Taking taylor expansion of 0 in lambda1 3.390 * [taylor]: Taking taylor expansion of 0 in lambda2 3.390 * [taylor]: Taking taylor expansion of 0 in R 3.390 * [taylor]: Taking taylor expansion of 0 in lambda1 3.390 * [taylor]: Taking taylor expansion of 0 in lambda2 3.390 * [taylor]: Taking taylor expansion of 0 in R 3.390 * [taylor]: Taking taylor expansion of 0 in lambda1 3.390 * [taylor]: Taking taylor expansion of 0 in lambda2 3.390 * [taylor]: Taking taylor expansion of 0 in R 3.390 * [taylor]: Taking taylor expansion of 0 in lambda2 3.390 * [taylor]: Taking taylor expansion of 0 in R 3.390 * [taylor]: Taking taylor expansion of 0 in lambda2 3.390 * [taylor]: Taking taylor expansion of 0 in R 3.391 * [taylor]: Taking taylor expansion of 0 in lambda2 3.391 * [taylor]: Taking taylor expansion of 0 in R 3.391 * [taylor]: Taking taylor expansion of 0 in R 3.391 * [taylor]: Taking taylor expansion of 0 in R 3.391 * [taylor]: Taking taylor expansion of 0 in R 3.391 * [taylor]: Taking taylor expansion of 0 in R 3.392 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 3.392 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in R 3.392 * [taylor]: Taking taylor expansion of -1 in R 3.392 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in R 3.392 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in R 3.392 * [taylor]: Taking taylor expansion of R in R 3.392 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda2 3.392 * [taylor]: Taking taylor expansion of -1 in lambda2 3.392 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda2 3.392 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 3.393 * [taylor]: Taking taylor expansion of R in lambda2 3.393 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda1 3.393 * [taylor]: Taking taylor expansion of -1 in lambda1 3.393 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda1 3.393 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 3.393 * [taylor]: Taking taylor expansion of R in lambda1 3.393 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi2 3.393 * [taylor]: Taking taylor expansion of -1 in phi2 3.393 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi2 3.393 * [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 3.393 * [taylor]: Taking taylor expansion of R in phi2 3.394 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi1 3.394 * [taylor]: Taking taylor expansion of -1 in phi1 3.394 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi1 3.394 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 3.394 * [taylor]: Taking taylor expansion of R in phi1 3.394 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi1 3.394 * [taylor]: Taking taylor expansion of -1 in phi1 3.394 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi1 3.394 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 3.394 * [taylor]: Taking taylor expansion of R in phi1 3.395 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi2 3.395 * [taylor]: Taking taylor expansion of -1 in phi2 3.395 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi2 3.395 * [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 3.395 * [taylor]: Taking taylor expansion of R in phi2 3.395 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda1 3.395 * [taylor]: Taking taylor expansion of -1 in lambda1 3.395 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda1 3.395 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 3.396 * [taylor]: Taking taylor expansion of R in lambda1 3.396 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda2 3.396 * [taylor]: Taking taylor expansion of -1 in lambda2 3.396 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda2 3.396 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 3.396 * [taylor]: Taking taylor expansion of R in lambda2 3.397 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in R 3.397 * [taylor]: Taking taylor expansion of -1 in R 3.397 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in R 3.397 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in R 3.397 * [taylor]: Taking taylor expansion of R in R 3.398 * [taylor]: Taking taylor expansion of 0 in phi2 3.398 * [taylor]: Taking taylor expansion of 0 in lambda1 3.398 * [taylor]: Taking taylor expansion of 0 in lambda2 3.398 * [taylor]: Taking taylor expansion of 0 in R 3.399 * [taylor]: Taking taylor expansion of 0 in lambda1 3.399 * [taylor]: Taking taylor expansion of 0 in lambda2 3.399 * [taylor]: Taking taylor expansion of 0 in R 3.399 * [taylor]: Taking taylor expansion of 0 in lambda2 3.399 * [taylor]: Taking taylor expansion of 0 in R 3.399 * [taylor]: Taking taylor expansion of 0 in R 3.403 * [taylor]: Taking taylor expansion of 0 in phi2 3.403 * [taylor]: Taking taylor expansion of 0 in lambda1 3.403 * [taylor]: Taking taylor expansion of 0 in lambda2 3.404 * [taylor]: Taking taylor expansion of 0 in R 3.404 * [taylor]: Taking taylor expansion of 0 in lambda1 3.404 * [taylor]: Taking taylor expansion of 0 in lambda2 3.404 * [taylor]: Taking taylor expansion of 0 in R 3.404 * [taylor]: Taking taylor expansion of 0 in lambda1 3.404 * [taylor]: Taking taylor expansion of 0 in lambda2 3.404 * [taylor]: Taking taylor expansion of 0 in R 3.404 * [taylor]: Taking taylor expansion of 0 in lambda2 3.404 * [taylor]: Taking taylor expansion of 0 in R 3.404 * [taylor]: Taking taylor expansion of 0 in lambda2 3.404 * [taylor]: Taking taylor expansion of 0 in R 3.405 * [taylor]: Taking taylor expansion of 0 in lambda2 3.405 * [taylor]: Taking taylor expansion of 0 in R 3.405 * [taylor]: Taking taylor expansion of 0 in R 3.405 * [taylor]: Taking taylor expansion of 0 in R 3.405 * [taylor]: Taking taylor expansion of 0 in R 3.405 * [taylor]: Taking taylor expansion of 0 in R 3.406 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 3.406 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 3.406 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 3.406 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 3.406 * [taylor]: Taking taylor expansion of phi1 in phi2 3.406 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 3.406 * [taylor]: Taking taylor expansion of phi2 in phi2 3.406 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 3.406 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 3.406 * [taylor]: Taking taylor expansion of phi1 in phi1 3.406 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 3.406 * [taylor]: Taking taylor expansion of phi2 in phi1 3.406 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 3.406 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 3.406 * [taylor]: Taking taylor expansion of phi1 in phi1 3.406 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 3.406 * [taylor]: Taking taylor expansion of phi2 in phi1 3.407 * [taylor]: Taking taylor expansion of 0 in phi2 3.407 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 3.407 * [taylor]: Taking taylor expansion of phi2 in phi2 3.408 * [taylor]: Taking taylor expansion of 0 in phi2 3.408 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin phi2))) in phi2 3.408 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 3.408 * [taylor]: Taking taylor expansion of 1/6 in phi2 3.408 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 3.408 * [taylor]: Taking taylor expansion of phi2 in phi2 3.409 * [taylor]: Taking taylor expansion of 0 in phi2 3.409 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 3.409 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 3.409 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 3.409 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 3.409 * [taylor]: Taking taylor expansion of phi1 in phi2 3.410 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 3.410 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 3.410 * [taylor]: Taking taylor expansion of phi2 in phi2 3.410 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 3.410 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 3.410 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 3.410 * [taylor]: Taking taylor expansion of phi1 in phi1 3.410 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 3.410 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 3.410 * [taylor]: Taking taylor expansion of phi2 in phi1 3.410 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 3.410 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 3.410 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 3.410 * [taylor]: Taking taylor expansion of phi1 in phi1 3.410 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 3.410 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 3.410 * [taylor]: Taking taylor expansion of phi2 in phi1 3.410 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 3.410 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 3.410 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 3.410 * [taylor]: Taking taylor expansion of phi1 in phi2 3.410 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 3.410 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 3.410 * [taylor]: Taking taylor expansion of phi2 in phi2 3.411 * [taylor]: Taking taylor expansion of 0 in phi2 3.411 * [taylor]: Taking taylor expansion of 0 in phi2 3.412 * [taylor]: Taking taylor expansion of 0 in phi2 3.412 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 3.412 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 3.412 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 3.412 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 3.412 * [taylor]: Taking taylor expansion of -1 in phi2 3.412 * [taylor]: Taking taylor expansion of phi1 in phi2 3.413 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 3.413 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 3.413 * [taylor]: Taking taylor expansion of -1 in phi2 3.413 * [taylor]: Taking taylor expansion of phi2 in phi2 3.413 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 3.413 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 3.413 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 3.413 * [taylor]: Taking taylor expansion of -1 in phi1 3.413 * [taylor]: Taking taylor expansion of phi1 in phi1 3.413 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 3.413 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 3.413 * [taylor]: Taking taylor expansion of -1 in phi1 3.413 * [taylor]: Taking taylor expansion of phi2 in phi1 3.413 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 3.413 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 3.413 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 3.413 * [taylor]: Taking taylor expansion of -1 in phi1 3.413 * [taylor]: Taking taylor expansion of phi1 in phi1 3.413 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 3.413 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 3.413 * [taylor]: Taking taylor expansion of -1 in phi1 3.413 * [taylor]: Taking taylor expansion of phi2 in phi1 3.413 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 3.413 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 3.413 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 3.413 * [taylor]: Taking taylor expansion of -1 in phi2 3.413 * [taylor]: Taking taylor expansion of phi1 in phi2 3.413 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 3.413 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 3.413 * [taylor]: Taking taylor expansion of -1 in phi2 3.413 * [taylor]: Taking taylor expansion of phi2 in phi2 3.414 * [taylor]: Taking taylor expansion of 0 in phi2 3.415 * [taylor]: Taking taylor expansion of 0 in phi2 3.415 * [taylor]: Taking taylor expansion of 0 in phi2 3.415 * * * [progress]: simplifying candidates 3.416 * [simplify]: Simplifying using # : (* (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)) (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 3.467 * * [simplify]: iteration 0 : 4915 enodes (cost 876 ) 3.467 * * [simplify]: iteration 1 : 4915 enodes (cost 876 ) 3.470 * [simplify]: Simplified to: (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (neg (sin lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)) (log (cos (- lambda1 lambda2))) (exp (cos (- lambda1 lambda2))) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))) (pow (cos (- lambda1 lambda2)) 3) (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (sqrt (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) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R)) (pow (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) R) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) R) (* (sqrt (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) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (pow (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) (* (sin phi2) (cbrt (sin phi1))) (* (sin phi2) (sqrt (sin phi1))) (* (sin phi1) (sin phi2)) (+ 1 (* lambda1 (- lambda2 (* lambda1 1/2)))) (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) (* phi1 phi2) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 3.471 * * * [progress]: adding candidates to table 3.558 * * [progress]: iteration 2 / 4 3.558 * * * [progress]: picking best candidate 3.621 * * * * [pick]: Picked # 3.621 * * * [progress]: localizing error 3.656 * * * [progress]: generating rewritten candidates 3.656 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 3.657 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 3.660 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 3.664 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 3.675 * * * [progress]: generating series expansions 3.675 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 3.676 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 3.676 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 3.676 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 3.677 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 3.677 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 3.677 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 3.677 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 3.678 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 3.678 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 3.679 * [taylor]: Taking taylor expansion of 0 in phi2 3.679 * [taylor]: Taking taylor expansion of 0 in lambda1 3.679 * [taylor]: Taking taylor expansion of 0 in lambda2 3.679 * [taylor]: Taking taylor expansion of 0 in lambda1 3.679 * [taylor]: Taking taylor expansion of 0 in lambda2 3.679 * [taylor]: Taking taylor expansion of 0 in lambda2 3.679 * [taylor]: Taking taylor expansion of 0 in phi2 3.679 * [taylor]: Taking taylor expansion of 0 in lambda1 3.679 * [taylor]: Taking taylor expansion of 0 in lambda2 3.679 * [taylor]: Taking taylor expansion of 0 in lambda1 3.679 * [taylor]: Taking taylor expansion of 0 in lambda2 3.680 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 3.680 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 3.680 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 3.680 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 3.681 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 3.681 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 3.681 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 3.682 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 3.682 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 3.683 * [taylor]: Taking taylor expansion of 0 in phi2 3.683 * [taylor]: Taking taylor expansion of 0 in lambda1 3.683 * [taylor]: Taking taylor expansion of 0 in lambda2 3.683 * [taylor]: Taking taylor expansion of 0 in lambda1 3.683 * [taylor]: Taking taylor expansion of 0 in lambda2 3.683 * [taylor]: Taking taylor expansion of 0 in lambda2 3.683 * [taylor]: Taking taylor expansion of 0 in phi2 3.683 * [taylor]: Taking taylor expansion of 0 in lambda1 3.683 * [taylor]: Taking taylor expansion of 0 in lambda2 3.683 * [taylor]: Taking taylor expansion of 0 in lambda1 3.683 * [taylor]: Taking taylor expansion of 0 in lambda2 3.684 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 3.684 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 3.684 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 3.685 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 3.685 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 3.685 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 3.686 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 3.686 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 3.686 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 3.687 * [taylor]: Taking taylor expansion of 0 in phi2 3.687 * [taylor]: Taking taylor expansion of 0 in lambda1 3.687 * [taylor]: Taking taylor expansion of 0 in lambda2 3.687 * [taylor]: Taking taylor expansion of 0 in lambda1 3.687 * [taylor]: Taking taylor expansion of 0 in lambda2 3.687 * [taylor]: Taking taylor expansion of 0 in lambda2 3.687 * [taylor]: Taking taylor expansion of 0 in phi2 3.687 * [taylor]: Taking taylor expansion of 0 in lambda1 3.687 * [taylor]: Taking taylor expansion of 0 in lambda2 3.687 * [taylor]: Taking taylor expansion of 0 in lambda1 3.687 * [taylor]: Taking taylor expansion of 0 in lambda2 3.688 * * * * [progress]: [ 2 / 4 ] generating series at (2) 3.688 * [approximate]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 3.688 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R 3.688 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 3.689 * [taylor]: Taking taylor expansion of R in R 3.689 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2 3.689 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 3.689 * [taylor]: Taking taylor expansion of R in lambda2 3.689 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1 3.689 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 3.689 * [taylor]: Taking taylor expansion of R in lambda1 3.689 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2 3.689 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 3.690 * [taylor]: Taking taylor expansion of R in phi2 3.690 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1 3.690 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 3.690 * [taylor]: Taking taylor expansion of R in phi1 3.690 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1 3.690 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 3.690 * [taylor]: Taking taylor expansion of R in phi1 3.690 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2 3.691 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 3.691 * [taylor]: Taking taylor expansion of R in phi2 3.691 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1 3.691 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 3.691 * [taylor]: Taking taylor expansion of R in lambda1 3.692 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2 3.692 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 3.692 * [taylor]: Taking taylor expansion of R in lambda2 3.692 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R 3.692 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 3.692 * [taylor]: Taking taylor expansion of R in R 3.693 * [taylor]: Taking taylor expansion of 0 in phi2 3.693 * [taylor]: Taking taylor expansion of 0 in lambda1 3.693 * [taylor]: Taking taylor expansion of 0 in lambda2 3.693 * [taylor]: Taking taylor expansion of 0 in R 3.693 * [taylor]: Taking taylor expansion of 0 in lambda1 3.693 * [taylor]: Taking taylor expansion of 0 in lambda2 3.693 * [taylor]: Taking taylor expansion of 0 in R 3.694 * [taylor]: Taking taylor expansion of 0 in lambda2 3.694 * [taylor]: Taking taylor expansion of 0 in R 3.694 * [taylor]: Taking taylor expansion of 0 in R 3.695 * [taylor]: Taking taylor expansion of 0 in phi2 3.695 * [taylor]: Taking taylor expansion of 0 in lambda1 3.695 * [taylor]: Taking taylor expansion of 0 in lambda2 3.695 * [taylor]: Taking taylor expansion of 0 in R 3.695 * [taylor]: Taking taylor expansion of 0 in lambda1 3.695 * [taylor]: Taking taylor expansion of 0 in lambda2 3.695 * [taylor]: Taking taylor expansion of 0 in R 3.695 * [taylor]: Taking taylor expansion of 0 in lambda1 3.695 * [taylor]: Taking taylor expansion of 0 in lambda2 3.695 * [taylor]: Taking taylor expansion of 0 in R 3.695 * [taylor]: Taking taylor expansion of 0 in lambda2 3.695 * [taylor]: Taking taylor expansion of 0 in R 3.695 * [taylor]: Taking taylor expansion of 0 in lambda2 3.695 * [taylor]: Taking taylor expansion of 0 in R 3.696 * [taylor]: Taking taylor expansion of 0 in lambda2 3.696 * [taylor]: Taking taylor expansion of 0 in R 3.696 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 3.696 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 3.696 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 3.697 * [taylor]: Taking taylor expansion of R in R 3.697 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 3.697 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 3.698 * [taylor]: Taking taylor expansion of R in lambda2 3.698 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 3.698 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 3.698 * [taylor]: Taking taylor expansion of R in lambda1 3.699 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 3.699 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 3.699 * [taylor]: Taking taylor expansion of R in phi2 3.699 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 3.699 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 3.700 * [taylor]: Taking taylor expansion of R in phi1 3.700 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 3.700 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 3.700 * [taylor]: Taking taylor expansion of R in phi1 3.701 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 3.701 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 3.701 * [taylor]: Taking taylor expansion of R in phi2 3.702 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 3.702 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 3.702 * [taylor]: Taking taylor expansion of R in lambda1 3.702 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 3.702 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 3.703 * [taylor]: Taking taylor expansion of R in lambda2 3.703 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 3.703 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 3.703 * [taylor]: Taking taylor expansion of R in R 3.705 * [taylor]: Taking taylor expansion of 0 in phi2 3.705 * [taylor]: Taking taylor expansion of 0 in lambda1 3.705 * [taylor]: Taking taylor expansion of 0 in lambda2 3.705 * [taylor]: Taking taylor expansion of 0 in R 3.705 * [taylor]: Taking taylor expansion of 0 in lambda1 3.705 * [taylor]: Taking taylor expansion of 0 in lambda2 3.705 * [taylor]: Taking taylor expansion of 0 in R 3.706 * [taylor]: Taking taylor expansion of 0 in lambda2 3.706 * [taylor]: Taking taylor expansion of 0 in R 3.706 * [taylor]: Taking taylor expansion of 0 in R 3.707 * [taylor]: Taking taylor expansion of 0 in phi2 3.707 * [taylor]: Taking taylor expansion of 0 in lambda1 3.707 * [taylor]: Taking taylor expansion of 0 in lambda2 3.707 * [taylor]: Taking taylor expansion of 0 in R 3.707 * [taylor]: Taking taylor expansion of 0 in lambda1 3.707 * [taylor]: Taking taylor expansion of 0 in lambda2 3.707 * [taylor]: Taking taylor expansion of 0 in R 3.707 * [taylor]: Taking taylor expansion of 0 in lambda1 3.707 * [taylor]: Taking taylor expansion of 0 in lambda2 3.707 * [taylor]: Taking taylor expansion of 0 in R 3.707 * [taylor]: Taking taylor expansion of 0 in lambda2 3.707 * [taylor]: Taking taylor expansion of 0 in R 3.707 * [taylor]: Taking taylor expansion of 0 in lambda2 3.707 * [taylor]: Taking taylor expansion of 0 in R 3.708 * [taylor]: Taking taylor expansion of 0 in lambda2 3.708 * [taylor]: Taking taylor expansion of 0 in R 3.708 * [taylor]: Taking taylor expansion of 0 in R 3.708 * [taylor]: Taking taylor expansion of 0 in R 3.708 * [taylor]: Taking taylor expansion of 0 in R 3.708 * [taylor]: Taking taylor expansion of 0 in R 3.710 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 3.710 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 3.710 * [taylor]: Taking taylor expansion of -1 in R 3.710 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 3.710 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 3.710 * [taylor]: Taking taylor expansion of R in R 3.711 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 3.711 * [taylor]: Taking taylor expansion of -1 in lambda2 3.711 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 3.711 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 3.711 * [taylor]: Taking taylor expansion of R in lambda2 3.711 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 3.711 * [taylor]: Taking taylor expansion of -1 in lambda1 3.711 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 3.711 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 3.712 * [taylor]: Taking taylor expansion of R in lambda1 3.712 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 3.712 * [taylor]: Taking taylor expansion of -1 in phi2 3.712 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 3.712 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 3.712 * [taylor]: Taking taylor expansion of R in phi2 3.713 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 3.713 * [taylor]: Taking taylor expansion of -1 in phi1 3.713 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 3.713 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 3.713 * [taylor]: Taking taylor expansion of R in phi1 3.714 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 3.714 * [taylor]: Taking taylor expansion of -1 in phi1 3.714 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 3.714 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 3.714 * [taylor]: Taking taylor expansion of R in phi1 3.715 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 3.715 * [taylor]: Taking taylor expansion of -1 in phi2 3.715 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 3.715 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 3.715 * [taylor]: Taking taylor expansion of R in phi2 3.716 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 3.716 * [taylor]: Taking taylor expansion of -1 in lambda1 3.716 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 3.716 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 3.716 * [taylor]: Taking taylor expansion of R in lambda1 3.717 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 3.717 * [taylor]: Taking taylor expansion of -1 in lambda2 3.717 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 3.717 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 3.717 * [taylor]: Taking taylor expansion of R in lambda2 3.718 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 3.718 * [taylor]: Taking taylor expansion of -1 in R 3.718 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 3.718 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 3.718 * [taylor]: Taking taylor expansion of R in R 3.720 * [taylor]: Taking taylor expansion of 0 in phi2 3.720 * [taylor]: Taking taylor expansion of 0 in lambda1 3.720 * [taylor]: Taking taylor expansion of 0 in lambda2 3.720 * [taylor]: Taking taylor expansion of 0 in R 3.721 * [taylor]: Taking taylor expansion of 0 in lambda1 3.721 * [taylor]: Taking taylor expansion of 0 in lambda2 3.721 * [taylor]: Taking taylor expansion of 0 in R 3.722 * [taylor]: Taking taylor expansion of 0 in lambda2 3.722 * [taylor]: Taking taylor expansion of 0 in R 3.723 * [taylor]: Taking taylor expansion of 0 in R 3.724 * [taylor]: Taking taylor expansion of 0 in phi2 3.724 * [taylor]: Taking taylor expansion of 0 in lambda1 3.724 * [taylor]: Taking taylor expansion of 0 in lambda2 3.724 * [taylor]: Taking taylor expansion of 0 in R 3.724 * [taylor]: Taking taylor expansion of 0 in lambda1 3.724 * [taylor]: Taking taylor expansion of 0 in lambda2 3.724 * [taylor]: Taking taylor expansion of 0 in R 3.725 * [taylor]: Taking taylor expansion of 0 in lambda1 3.725 * [taylor]: Taking taylor expansion of 0 in lambda2 3.725 * [taylor]: Taking taylor expansion of 0 in R 3.725 * [taylor]: Taking taylor expansion of 0 in lambda2 3.725 * [taylor]: Taking taylor expansion of 0 in R 3.725 * [taylor]: Taking taylor expansion of 0 in lambda2 3.725 * [taylor]: Taking taylor expansion of 0 in R 3.729 * [taylor]: Taking taylor expansion of 0 in lambda2 3.729 * [taylor]: Taking taylor expansion of 0 in R 3.729 * [taylor]: Taking taylor expansion of 0 in R 3.729 * [taylor]: Taking taylor expansion of 0 in R 3.729 * [taylor]: Taking taylor expansion of 0 in R 3.730 * [taylor]: Taking taylor expansion of 0 in R 3.731 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 3.731 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 3.731 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 3.731 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 3.731 * [taylor]: Taking taylor expansion of phi1 in phi2 3.731 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 3.731 * [taylor]: Taking taylor expansion of phi2 in phi2 3.731 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 3.731 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 3.731 * [taylor]: Taking taylor expansion of phi1 in phi1 3.731 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 3.731 * [taylor]: Taking taylor expansion of phi2 in phi1 3.731 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 3.731 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 3.732 * [taylor]: Taking taylor expansion of phi1 in phi1 3.732 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 3.732 * [taylor]: Taking taylor expansion of phi2 in phi1 3.732 * [taylor]: Taking taylor expansion of 0 in phi2 3.732 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 3.732 * [taylor]: Taking taylor expansion of phi2 in phi2 3.732 * [taylor]: Taking taylor expansion of 0 in phi2 3.733 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin phi2))) in phi2 3.733 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 3.733 * [taylor]: Taking taylor expansion of 1/6 in phi2 3.733 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 3.733 * [taylor]: Taking taylor expansion of phi2 in phi2 3.734 * [taylor]: Taking taylor expansion of 0 in phi2 3.734 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 3.734 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 3.734 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 3.734 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 3.734 * [taylor]: Taking taylor expansion of phi1 in phi2 3.734 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 3.734 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 3.734 * [taylor]: Taking taylor expansion of phi2 in phi2 3.734 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 3.734 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 3.734 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 3.734 * [taylor]: Taking taylor expansion of phi1 in phi1 3.734 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 3.734 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 3.734 * [taylor]: Taking taylor expansion of phi2 in phi1 3.734 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 3.734 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 3.734 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 3.734 * [taylor]: Taking taylor expansion of phi1 in phi1 3.734 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 3.734 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 3.734 * [taylor]: Taking taylor expansion of phi2 in phi1 3.735 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 3.735 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 3.735 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 3.735 * [taylor]: Taking taylor expansion of phi1 in phi2 3.735 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 3.735 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 3.735 * [taylor]: Taking taylor expansion of phi2 in phi2 3.735 * [taylor]: Taking taylor expansion of 0 in phi2 3.736 * [taylor]: Taking taylor expansion of 0 in phi2 3.737 * [taylor]: Taking taylor expansion of 0 in phi2 3.737 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 3.737 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 3.737 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 3.737 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 3.737 * [taylor]: Taking taylor expansion of -1 in phi2 3.737 * [taylor]: Taking taylor expansion of phi1 in phi2 3.737 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 3.737 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 3.737 * [taylor]: Taking taylor expansion of -1 in phi2 3.737 * [taylor]: Taking taylor expansion of phi2 in phi2 3.737 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 3.737 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 3.737 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 3.737 * [taylor]: Taking taylor expansion of -1 in phi1 3.737 * [taylor]: Taking taylor expansion of phi1 in phi1 3.737 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 3.737 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 3.737 * [taylor]: Taking taylor expansion of -1 in phi1 3.737 * [taylor]: Taking taylor expansion of phi2 in phi1 3.737 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 3.737 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 3.737 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 3.737 * [taylor]: Taking taylor expansion of -1 in phi1 3.738 * [taylor]: Taking taylor expansion of phi1 in phi1 3.738 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 3.738 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 3.738 * [taylor]: Taking taylor expansion of -1 in phi1 3.738 * [taylor]: Taking taylor expansion of phi2 in phi1 3.738 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 3.738 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 3.738 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 3.738 * [taylor]: Taking taylor expansion of -1 in phi2 3.738 * [taylor]: Taking taylor expansion of phi1 in phi2 3.738 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 3.738 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 3.738 * [taylor]: Taking taylor expansion of -1 in phi2 3.738 * [taylor]: Taking taylor expansion of phi2 in phi2 3.739 * [taylor]: Taking taylor expansion of 0 in phi2 3.739 * [taylor]: Taking taylor expansion of 0 in phi2 3.740 * [taylor]: Taking taylor expansion of 0 in phi2 3.740 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 3.740 * [approximate]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in (phi1 phi2 lambda1 lambda2) around 0 3.740 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in lambda2 3.740 * [taylor]: Taking taylor expansion of (cos phi1) in lambda2 3.740 * [taylor]: Taking taylor expansion of phi1 in lambda2 3.740 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in lambda2 3.740 * [taylor]: Taking taylor expansion of (cos phi2) in lambda2 3.740 * [taylor]: Taking taylor expansion of phi2 in lambda2 3.740 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in lambda2 3.740 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda2 3.740 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda2 3.740 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.741 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 3.741 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.741 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 3.741 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 3.741 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.741 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 3.741 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.741 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in lambda1 3.741 * [taylor]: Taking taylor expansion of (cos phi1) in lambda1 3.741 * [taylor]: Taking taylor expansion of phi1 in lambda1 3.741 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in lambda1 3.741 * [taylor]: Taking taylor expansion of (cos phi2) in lambda1 3.741 * [taylor]: Taking taylor expansion of phi2 in lambda1 3.741 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in lambda1 3.741 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 3.741 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 3.741 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.741 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 3.741 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.741 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 3.741 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 3.741 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.741 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 3.741 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.741 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in phi2 3.741 * [taylor]: Taking taylor expansion of (cos phi1) in phi2 3.741 * [taylor]: Taking taylor expansion of phi1 in phi2 3.741 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in phi2 3.741 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 3.741 * [taylor]: Taking taylor expansion of phi2 in phi2 3.741 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in phi2 3.741 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi2 3.741 * [taylor]: Taking taylor expansion of (cos lambda1) in phi2 3.741 * [taylor]: Taking taylor expansion of lambda1 in phi2 3.741 * [taylor]: Taking taylor expansion of (cos lambda2) in phi2 3.741 * [taylor]: Taking taylor expansion of lambda2 in phi2 3.741 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi2 3.741 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 3.741 * [taylor]: Taking taylor expansion of lambda1 in phi2 3.741 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 3.741 * [taylor]: Taking taylor expansion of lambda2 in phi2 3.741 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in phi1 3.741 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 3.741 * [taylor]: Taking taylor expansion of phi1 in phi1 3.741 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in phi1 3.741 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 3.741 * [taylor]: Taking taylor expansion of phi2 in phi1 3.742 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in phi1 3.742 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi1 3.742 * [taylor]: Taking taylor expansion of (cos lambda1) in phi1 3.742 * [taylor]: Taking taylor expansion of lambda1 in phi1 3.742 * [taylor]: Taking taylor expansion of (cos lambda2) in phi1 3.742 * [taylor]: Taking taylor expansion of lambda2 in phi1 3.742 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi1 3.742 * [taylor]: Taking taylor expansion of (sin lambda1) in phi1 3.742 * [taylor]: Taking taylor expansion of lambda1 in phi1 3.742 * [taylor]: Taking taylor expansion of (sin lambda2) in phi1 3.742 * [taylor]: Taking taylor expansion of lambda2 in phi1 3.742 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in phi1 3.742 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 3.742 * [taylor]: Taking taylor expansion of phi1 in phi1 3.742 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in phi1 3.742 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 3.742 * [taylor]: Taking taylor expansion of phi2 in phi1 3.742 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in phi1 3.742 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi1 3.742 * [taylor]: Taking taylor expansion of (cos lambda1) in phi1 3.742 * [taylor]: Taking taylor expansion of lambda1 in phi1 3.742 * [taylor]: Taking taylor expansion of (cos lambda2) in phi1 3.742 * [taylor]: Taking taylor expansion of lambda2 in phi1 3.742 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi1 3.742 * [taylor]: Taking taylor expansion of (sin lambda1) in phi1 3.742 * [taylor]: Taking taylor expansion of lambda1 in phi1 3.742 * [taylor]: Taking taylor expansion of (sin lambda2) in phi1 3.742 * [taylor]: Taking taylor expansion of lambda2 in phi1 3.743 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in phi2 3.743 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 3.743 * [taylor]: Taking taylor expansion of phi2 in phi2 3.743 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in phi2 3.743 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi2 3.743 * [taylor]: Taking taylor expansion of (cos lambda1) in phi2 3.743 * [taylor]: Taking taylor expansion of lambda1 in phi2 3.743 * [taylor]: Taking taylor expansion of (cos lambda2) in phi2 3.743 * [taylor]: Taking taylor expansion of lambda2 in phi2 3.743 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi2 3.743 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 3.743 * [taylor]: Taking taylor expansion of lambda1 in phi2 3.743 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 3.743 * [taylor]: Taking taylor expansion of lambda2 in phi2 3.743 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in lambda1 3.743 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 3.744 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 3.744 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.744 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 3.744 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.744 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 3.744 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 3.744 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.744 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 3.744 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.744 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 3.744 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.745 * [taylor]: Taking taylor expansion of 0 in phi2 3.745 * [taylor]: Taking taylor expansion of 0 in lambda1 3.745 * [taylor]: Taking taylor expansion of 0 in lambda2 3.746 * [taylor]: Taking taylor expansion of 0 in lambda1 3.746 * [taylor]: Taking taylor expansion of 0 in lambda2 3.746 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 3.746 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.748 * [taylor]: Taking taylor expansion of (neg (+ (* 1/2 (* (cos lambda1) (* (cos phi2) (cos lambda2)))) (* 1/2 (* (sin lambda1) (* (cos phi2) (sin lambda2)))))) in phi2 3.748 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (cos lambda1) (* (cos phi2) (cos lambda2)))) (* 1/2 (* (sin lambda1) (* (cos phi2) (sin lambda2))))) in phi2 3.748 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos lambda1) (* (cos phi2) (cos lambda2)))) in phi2 3.748 * [taylor]: Taking taylor expansion of 1/2 in phi2 3.748 * [taylor]: Taking taylor expansion of (* (cos lambda1) (* (cos phi2) (cos lambda2))) in phi2 3.748 * [taylor]: Taking taylor expansion of (cos lambda1) in phi2 3.748 * [taylor]: Taking taylor expansion of lambda1 in phi2 3.748 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos lambda2)) in phi2 3.748 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 3.748 * [taylor]: Taking taylor expansion of phi2 in phi2 3.748 * [taylor]: Taking taylor expansion of (cos lambda2) in phi2 3.748 * [taylor]: Taking taylor expansion of lambda2 in phi2 3.748 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (* (cos phi2) (sin lambda2)))) in phi2 3.748 * [taylor]: Taking taylor expansion of 1/2 in phi2 3.748 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi2) (sin lambda2))) in phi2 3.748 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 3.748 * [taylor]: Taking taylor expansion of lambda1 in phi2 3.748 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in phi2 3.748 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 3.748 * [taylor]: Taking taylor expansion of phi2 in phi2 3.748 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 3.748 * [taylor]: Taking taylor expansion of lambda2 in phi2 3.749 * [taylor]: Taking taylor expansion of (neg (+ (* 1/2 (* (cos lambda1) (cos lambda2))) (* 1/2 (* (sin lambda1) (sin lambda2))))) in lambda1 3.749 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (cos lambda1) (cos lambda2))) (* 1/2 (* (sin lambda1) (sin lambda2)))) in lambda1 3.749 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos lambda1) (cos lambda2))) in lambda1 3.749 * [taylor]: Taking taylor expansion of 1/2 in lambda1 3.749 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 3.749 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 3.749 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.749 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 3.749 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.749 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (sin lambda2))) in lambda1 3.749 * [taylor]: Taking taylor expansion of 1/2 in lambda1 3.749 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 3.749 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 3.749 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.749 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 3.749 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.749 * [taylor]: Taking taylor expansion of (neg (* 1/2 (cos lambda2))) in lambda2 3.749 * [taylor]: Taking taylor expansion of (* 1/2 (cos lambda2)) in lambda2 3.749 * [taylor]: Taking taylor expansion of 1/2 in lambda2 3.749 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 3.749 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.749 * [taylor]: Taking taylor expansion of 0 in lambda1 3.749 * [taylor]: Taking taylor expansion of 0 in lambda2 3.751 * [taylor]: Taking taylor expansion of (neg (+ (* 1/2 (* (cos lambda1) (cos lambda2))) (* 1/2 (* (sin lambda1) (sin lambda2))))) in lambda1 3.751 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (cos lambda1) (cos lambda2))) (* 1/2 (* (sin lambda1) (sin lambda2)))) in lambda1 3.751 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos lambda1) (cos lambda2))) in lambda1 3.751 * [taylor]: Taking taylor expansion of 1/2 in lambda1 3.751 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 3.751 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 3.751 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.751 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 3.751 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.751 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (sin lambda2))) in lambda1 3.751 * [taylor]: Taking taylor expansion of 1/2 in lambda1 3.751 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 3.751 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 3.751 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.751 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 3.751 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.751 * [taylor]: Taking taylor expansion of (neg (* 1/2 (cos lambda2))) in lambda2 3.751 * [taylor]: Taking taylor expansion of (* 1/2 (cos lambda2)) in lambda2 3.751 * [taylor]: Taking taylor expansion of 1/2 in lambda2 3.751 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 3.751 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.752 * [approximate]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in (phi1 phi2 lambda1 lambda2) around 0 3.752 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in lambda2 3.752 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 3.752 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 3.752 * [taylor]: Taking taylor expansion of phi2 in lambda2 3.752 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in lambda2 3.752 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 3.752 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 3.752 * [taylor]: Taking taylor expansion of phi1 in lambda2 3.752 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda2 3.752 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 3.752 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 3.752 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 3.752 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.752 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 3.752 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 3.752 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.752 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda2 3.752 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda2 3.752 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 3.752 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.752 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda2 3.752 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 3.752 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.752 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in lambda1 3.752 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 3.752 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 3.752 * [taylor]: Taking taylor expansion of phi2 in lambda1 3.752 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in lambda1 3.752 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 3.752 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 3.753 * [taylor]: Taking taylor expansion of phi1 in lambda1 3.753 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda1 3.753 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 3.753 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 3.753 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 3.753 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.753 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 3.753 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 3.753 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.753 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda1 3.753 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda1 3.753 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 3.753 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.753 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda1 3.753 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 3.753 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.753 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in phi2 3.753 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 3.753 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 3.753 * [taylor]: Taking taylor expansion of phi2 in phi2 3.753 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in phi2 3.753 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 3.753 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 3.753 * [taylor]: Taking taylor expansion of phi1 in phi2 3.753 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi2 3.753 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in phi2 3.753 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi2 3.753 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 3.753 * [taylor]: Taking taylor expansion of lambda1 in phi2 3.753 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi2 3.753 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 3.753 * [taylor]: Taking taylor expansion of lambda2 in phi2 3.753 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi2 3.753 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi2 3.753 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 3.753 * [taylor]: Taking taylor expansion of lambda2 in phi2 3.754 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi2 3.754 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 3.754 * [taylor]: Taking taylor expansion of lambda1 in phi2 3.754 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in phi1 3.754 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 3.754 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 3.754 * [taylor]: Taking taylor expansion of phi2 in phi1 3.754 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in phi1 3.754 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 3.754 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 3.754 * [taylor]: Taking taylor expansion of phi1 in phi1 3.754 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi1 3.754 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in phi1 3.754 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi1 3.754 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 3.754 * [taylor]: Taking taylor expansion of lambda1 in phi1 3.754 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi1 3.754 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 3.754 * [taylor]: Taking taylor expansion of lambda2 in phi1 3.754 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi1 3.754 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi1 3.754 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 3.754 * [taylor]: Taking taylor expansion of lambda2 in phi1 3.754 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi1 3.754 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 3.754 * [taylor]: Taking taylor expansion of lambda1 in phi1 3.754 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in phi1 3.754 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 3.754 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 3.754 * [taylor]: Taking taylor expansion of phi2 in phi1 3.754 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in phi1 3.754 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 3.754 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 3.754 * [taylor]: Taking taylor expansion of phi1 in phi1 3.755 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi1 3.755 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in phi1 3.755 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi1 3.755 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 3.755 * [taylor]: Taking taylor expansion of lambda1 in phi1 3.755 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi1 3.755 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 3.755 * [taylor]: Taking taylor expansion of lambda2 in phi1 3.755 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi1 3.755 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi1 3.755 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 3.755 * [taylor]: Taking taylor expansion of lambda2 in phi1 3.755 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi1 3.755 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 3.755 * [taylor]: Taking taylor expansion of lambda1 in phi1 3.756 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in phi2 3.756 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 3.756 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 3.756 * [taylor]: Taking taylor expansion of phi2 in phi2 3.756 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in phi2 3.756 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 3.756 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 3.756 * [taylor]: Taking taylor expansion of phi1 in phi2 3.756 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi2 3.756 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in phi2 3.756 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi2 3.756 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 3.756 * [taylor]: Taking taylor expansion of lambda1 in phi2 3.756 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi2 3.756 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 3.756 * [taylor]: Taking taylor expansion of lambda2 in phi2 3.756 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi2 3.756 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi2 3.756 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 3.756 * [taylor]: Taking taylor expansion of lambda2 in phi2 3.756 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi2 3.756 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 3.756 * [taylor]: Taking taylor expansion of lambda1 in phi2 3.757 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in lambda1 3.757 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 3.757 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 3.757 * [taylor]: Taking taylor expansion of phi2 in lambda1 3.757 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in lambda1 3.758 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 3.758 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 3.758 * [taylor]: Taking taylor expansion of phi1 in lambda1 3.758 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda1 3.758 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 3.758 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 3.758 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 3.758 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.758 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 3.758 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 3.758 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.758 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda1 3.758 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda1 3.758 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 3.758 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.758 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda1 3.758 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 3.758 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.759 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in lambda2 3.759 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 3.759 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 3.759 * [taylor]: Taking taylor expansion of phi2 in lambda2 3.759 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in lambda2 3.759 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 3.759 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 3.759 * [taylor]: Taking taylor expansion of phi1 in lambda2 3.759 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda2 3.759 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 3.759 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 3.759 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 3.759 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.759 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 3.759 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 3.759 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.759 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda2 3.759 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda2 3.759 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 3.759 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.759 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda2 3.759 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 3.759 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.762 * [taylor]: Taking taylor expansion of 0 in phi2 3.762 * [taylor]: Taking taylor expansion of 0 in lambda1 3.762 * [taylor]: Taking taylor expansion of 0 in lambda2 3.763 * [taylor]: Taking taylor expansion of 0 in lambda1 3.763 * [taylor]: Taking taylor expansion of 0 in lambda2 3.764 * [taylor]: Taking taylor expansion of 0 in lambda2 3.767 * [taylor]: Taking taylor expansion of 0 in phi2 3.767 * [taylor]: Taking taylor expansion of 0 in lambda1 3.767 * [taylor]: Taking taylor expansion of 0 in lambda2 3.767 * [taylor]: Taking taylor expansion of 0 in lambda1 3.767 * [taylor]: Taking taylor expansion of 0 in lambda2 3.768 * [approximate]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in (phi1 phi2 lambda1 lambda2) around 0 3.768 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in lambda2 3.768 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 3.768 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 3.768 * [taylor]: Taking taylor expansion of -1 in lambda2 3.768 * [taylor]: Taking taylor expansion of phi1 in lambda2 3.768 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in lambda2 3.768 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 3.768 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 3.768 * [taylor]: Taking taylor expansion of -1 in lambda2 3.768 * [taylor]: Taking taylor expansion of phi2 in lambda2 3.768 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in lambda2 3.768 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda2 3.768 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda2 3.768 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 3.768 * [taylor]: Taking taylor expansion of -1 in lambda2 3.768 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.768 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda2 3.768 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 3.768 * [taylor]: Taking taylor expansion of -1 in lambda2 3.768 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.768 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 3.768 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 3.768 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 3.768 * [taylor]: Taking taylor expansion of -1 in lambda2 3.768 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.768 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 3.768 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 3.768 * [taylor]: Taking taylor expansion of -1 in lambda2 3.768 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.768 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in lambda1 3.768 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 3.768 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 3.769 * [taylor]: Taking taylor expansion of -1 in lambda1 3.769 * [taylor]: Taking taylor expansion of phi1 in lambda1 3.769 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in lambda1 3.769 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 3.769 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 3.769 * [taylor]: Taking taylor expansion of -1 in lambda1 3.769 * [taylor]: Taking taylor expansion of phi2 in lambda1 3.769 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in lambda1 3.769 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda1 3.769 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda1 3.769 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 3.769 * [taylor]: Taking taylor expansion of -1 in lambda1 3.769 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.769 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda1 3.769 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 3.769 * [taylor]: Taking taylor expansion of -1 in lambda1 3.769 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.769 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 3.769 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 3.769 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 3.769 * [taylor]: Taking taylor expansion of -1 in lambda1 3.769 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.769 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 3.769 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 3.769 * [taylor]: Taking taylor expansion of -1 in lambda1 3.769 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.769 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in phi2 3.769 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 3.769 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 3.769 * [taylor]: Taking taylor expansion of -1 in phi2 3.769 * [taylor]: Taking taylor expansion of phi1 in phi2 3.769 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in phi2 3.769 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 3.769 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 3.769 * [taylor]: Taking taylor expansion of -1 in phi2 3.769 * [taylor]: Taking taylor expansion of phi2 in phi2 3.769 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in phi2 3.769 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi2 3.769 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi2 3.770 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 3.770 * [taylor]: Taking taylor expansion of -1 in phi2 3.770 * [taylor]: Taking taylor expansion of lambda1 in phi2 3.770 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi2 3.770 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 3.770 * [taylor]: Taking taylor expansion of -1 in phi2 3.770 * [taylor]: Taking taylor expansion of lambda2 in phi2 3.770 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in phi2 3.770 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi2 3.770 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 3.770 * [taylor]: Taking taylor expansion of -1 in phi2 3.770 * [taylor]: Taking taylor expansion of lambda1 in phi2 3.770 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi2 3.770 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 3.770 * [taylor]: Taking taylor expansion of -1 in phi2 3.770 * [taylor]: Taking taylor expansion of lambda2 in phi2 3.770 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in phi1 3.770 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 3.770 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 3.770 * [taylor]: Taking taylor expansion of -1 in phi1 3.770 * [taylor]: Taking taylor expansion of phi1 in phi1 3.770 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in phi1 3.770 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 3.770 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 3.770 * [taylor]: Taking taylor expansion of -1 in phi1 3.770 * [taylor]: Taking taylor expansion of phi2 in phi1 3.770 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in phi1 3.770 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi1 3.770 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi1 3.770 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 3.770 * [taylor]: Taking taylor expansion of -1 in phi1 3.770 * [taylor]: Taking taylor expansion of lambda1 in phi1 3.770 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi1 3.770 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 3.770 * [taylor]: Taking taylor expansion of -1 in phi1 3.770 * [taylor]: Taking taylor expansion of lambda2 in phi1 3.770 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in phi1 3.771 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi1 3.771 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 3.771 * [taylor]: Taking taylor expansion of -1 in phi1 3.771 * [taylor]: Taking taylor expansion of lambda1 in phi1 3.771 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi1 3.771 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 3.771 * [taylor]: Taking taylor expansion of -1 in phi1 3.771 * [taylor]: Taking taylor expansion of lambda2 in phi1 3.771 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in phi1 3.771 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 3.771 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 3.771 * [taylor]: Taking taylor expansion of -1 in phi1 3.771 * [taylor]: Taking taylor expansion of phi1 in phi1 3.771 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in phi1 3.771 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 3.771 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 3.771 * [taylor]: Taking taylor expansion of -1 in phi1 3.771 * [taylor]: Taking taylor expansion of phi2 in phi1 3.771 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in phi1 3.771 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi1 3.771 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi1 3.771 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 3.771 * [taylor]: Taking taylor expansion of -1 in phi1 3.771 * [taylor]: Taking taylor expansion of lambda1 in phi1 3.771 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi1 3.771 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 3.771 * [taylor]: Taking taylor expansion of -1 in phi1 3.771 * [taylor]: Taking taylor expansion of lambda2 in phi1 3.771 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in phi1 3.771 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi1 3.771 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 3.771 * [taylor]: Taking taylor expansion of -1 in phi1 3.771 * [taylor]: Taking taylor expansion of lambda1 in phi1 3.771 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi1 3.771 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 3.771 * [taylor]: Taking taylor expansion of -1 in phi1 3.771 * [taylor]: Taking taylor expansion of lambda2 in phi1 3.772 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in phi2 3.772 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 3.772 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 3.772 * [taylor]: Taking taylor expansion of -1 in phi2 3.772 * [taylor]: Taking taylor expansion of phi1 in phi2 3.773 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in phi2 3.773 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 3.773 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 3.773 * [taylor]: Taking taylor expansion of -1 in phi2 3.773 * [taylor]: Taking taylor expansion of phi2 in phi2 3.773 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in phi2 3.773 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi2 3.773 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi2 3.773 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 3.773 * [taylor]: Taking taylor expansion of -1 in phi2 3.773 * [taylor]: Taking taylor expansion of lambda1 in phi2 3.773 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi2 3.773 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 3.773 * [taylor]: Taking taylor expansion of -1 in phi2 3.773 * [taylor]: Taking taylor expansion of lambda2 in phi2 3.773 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in phi2 3.773 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi2 3.773 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 3.773 * [taylor]: Taking taylor expansion of -1 in phi2 3.773 * [taylor]: Taking taylor expansion of lambda1 in phi2 3.773 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi2 3.773 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 3.773 * [taylor]: Taking taylor expansion of -1 in phi2 3.773 * [taylor]: Taking taylor expansion of lambda2 in phi2 3.774 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in lambda1 3.774 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 3.774 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 3.774 * [taylor]: Taking taylor expansion of -1 in lambda1 3.774 * [taylor]: Taking taylor expansion of phi1 in lambda1 3.774 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in lambda1 3.774 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 3.774 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 3.774 * [taylor]: Taking taylor expansion of -1 in lambda1 3.774 * [taylor]: Taking taylor expansion of phi2 in lambda1 3.774 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in lambda1 3.774 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda1 3.774 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda1 3.774 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 3.774 * [taylor]: Taking taylor expansion of -1 in lambda1 3.774 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.774 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda1 3.774 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 3.774 * [taylor]: Taking taylor expansion of -1 in lambda1 3.774 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.775 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 3.775 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 3.775 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 3.775 * [taylor]: Taking taylor expansion of -1 in lambda1 3.775 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.775 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 3.775 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 3.775 * [taylor]: Taking taylor expansion of -1 in lambda1 3.775 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.776 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in lambda2 3.776 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 3.776 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 3.776 * [taylor]: Taking taylor expansion of -1 in lambda2 3.776 * [taylor]: Taking taylor expansion of phi1 in lambda2 3.776 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in lambda2 3.776 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 3.776 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 3.776 * [taylor]: Taking taylor expansion of -1 in lambda2 3.776 * [taylor]: Taking taylor expansion of phi2 in lambda2 3.776 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in lambda2 3.776 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda2 3.776 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda2 3.776 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 3.776 * [taylor]: Taking taylor expansion of -1 in lambda2 3.776 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.776 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda2 3.776 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 3.776 * [taylor]: Taking taylor expansion of -1 in lambda2 3.776 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.776 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 3.776 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 3.776 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 3.776 * [taylor]: Taking taylor expansion of -1 in lambda2 3.776 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.776 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 3.776 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 3.776 * [taylor]: Taking taylor expansion of -1 in lambda2 3.776 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.779 * [taylor]: Taking taylor expansion of 0 in phi2 3.779 * [taylor]: Taking taylor expansion of 0 in lambda1 3.779 * [taylor]: Taking taylor expansion of 0 in lambda2 3.780 * [taylor]: Taking taylor expansion of 0 in lambda1 3.780 * [taylor]: Taking taylor expansion of 0 in lambda2 3.781 * [taylor]: Taking taylor expansion of 0 in lambda2 3.784 * [taylor]: Taking taylor expansion of 0 in phi2 3.784 * [taylor]: Taking taylor expansion of 0 in lambda1 3.784 * [taylor]: Taking taylor expansion of 0 in lambda2 3.784 * [taylor]: Taking taylor expansion of 0 in lambda1 3.784 * [taylor]: Taking taylor expansion of 0 in lambda2 3.785 * * * [progress]: simplifying candidates 3.786 * [simplify]: Simplifying using # : (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (+ (+ (log (cos phi1)) (log (cos phi2))) (log (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (+ (log (* (cos phi1) (cos phi2))) (log (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (log (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (exp (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))) (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))) (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (sqrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (sqrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (* (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) 2) (* 2 (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))))) (* 2 (* 2 2)) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (* 2 (+ (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (- (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (* 2 (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))) (* (* (cos phi1) (cos phi2)) (* (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (* (cos phi1) (cos phi2)) (sqrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (cos phi1) (cos phi2)) 1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (+ (* (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) 2) (* 2 (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))))) (* (* (cos phi1) (cos phi2)) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (* (* (cos phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (- 1 (+ (* 1/2 (pow phi1 2)) (* 1/2 (pow phi2 2)))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) 3.813 * * [simplify]: iteration 0 : 5074 enodes (cost 1677 ) 3.819 * [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)) (pow (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))) (pow (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) (* (sin phi2) (cbrt (sin phi1))) (* (sin phi2) (sqrt (sin phi1))) (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (log (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (pow (pow (exp (cos phi1)) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (pow (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) 3) (pow (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) 3) (* (cbrt (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (cbrt (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (pow (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) 3) (sqrt (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* 2 (* (+ (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (+ (cos (+ lambda1 lambda2)) (+ (cos (- lambda1 lambda2)) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))))))) 8 (* (+ (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (* 2 (+ (* (cos lambda1) (* (cos lambda2) (* (cos lambda1) (cos lambda2)))) (* (sin lambda1) (* (sin lambda2) (- (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (+ (cos (- phi1 phi2)) (cos (+ phi1 phi2))))) (* 2 (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (cos phi1) (* (cos phi2) (* (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cos phi1) (* (cos phi2) (sqrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cos phi1) (cos phi2)) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* 2 (* (* (cos phi1) (cos phi2)) (+ (cos (+ lambda1 lambda2)) (+ (cos (- lambda1 lambda2)) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))))))) (* (cos phi1) (* (cos phi2) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3)))) (* (cos phi1) (* (cos phi2) (- (* (cos lambda1) (* (cos lambda2) (* (cos lambda1) (cos lambda2)))) (* (sin lambda1) (* (sin lambda2) (* (sin lambda1) (sin lambda2))))))) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (+ (cos (- phi1 phi2)) (cos (+ phi1 phi2)))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* phi1 phi2) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (- 1 (* 1/2 (+ (* phi1 phi1) (* phi2 phi2)))) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) 3.819 * * * [progress]: adding candidates to table 3.922 * * [progress]: iteration 3 / 4 3.922 * * * [progress]: picking best candidate 4.012 * * * * [pick]: Picked # 4.012 * * * [progress]: localizing error 4.045 * * * [progress]: generating rewritten candidates 4.046 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 4.047 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 4.050 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 4.054 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 2 2) 4.060 * * * [progress]: generating series expansions 4.060 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 4.061 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 4.061 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 4.061 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 4.061 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 4.062 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 4.062 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 4.062 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 4.062 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 4.063 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 4.063 * [taylor]: Taking taylor expansion of 0 in phi2 4.063 * [taylor]: Taking taylor expansion of 0 in lambda1 4.063 * [taylor]: Taking taylor expansion of 0 in lambda2 4.063 * [taylor]: Taking taylor expansion of 0 in lambda1 4.063 * [taylor]: Taking taylor expansion of 0 in lambda2 4.063 * [taylor]: Taking taylor expansion of 0 in lambda2 4.063 * [taylor]: Taking taylor expansion of 0 in phi2 4.063 * [taylor]: Taking taylor expansion of 0 in lambda1 4.063 * [taylor]: Taking taylor expansion of 0 in lambda2 4.063 * [taylor]: Taking taylor expansion of 0 in lambda1 4.063 * [taylor]: Taking taylor expansion of 0 in lambda2 4.064 * [approximate]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 4.064 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda2 4.065 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda1 4.065 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi2 4.065 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi1 4.066 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi1 4.066 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi2 4.066 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda1 4.067 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda2 4.067 * [taylor]: Taking taylor expansion of 0 in phi2 4.068 * [taylor]: Taking taylor expansion of 0 in lambda1 4.068 * [taylor]: Taking taylor expansion of 0 in lambda2 4.068 * [taylor]: Taking taylor expansion of 0 in lambda1 4.068 * [taylor]: Taking taylor expansion of 0 in lambda2 4.068 * [taylor]: Taking taylor expansion of 0 in lambda2 4.068 * [taylor]: Taking taylor expansion of 0 in phi2 4.068 * [taylor]: Taking taylor expansion of 0 in lambda1 4.068 * [taylor]: Taking taylor expansion of 0 in lambda2 4.068 * [taylor]: Taking taylor expansion of 0 in lambda1 4.068 * [taylor]: Taking taylor expansion of 0 in lambda2 4.069 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 4.069 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 4.069 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 4.069 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 4.070 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 4.070 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 4.070 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 4.071 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 4.071 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 4.072 * [taylor]: Taking taylor expansion of 0 in phi2 4.072 * [taylor]: Taking taylor expansion of 0 in lambda1 4.072 * [taylor]: Taking taylor expansion of 0 in lambda2 4.072 * [taylor]: Taking taylor expansion of 0 in lambda1 4.072 * [taylor]: Taking taylor expansion of 0 in lambda2 4.072 * [taylor]: Taking taylor expansion of 0 in lambda2 4.072 * [taylor]: Taking taylor expansion of 0 in phi2 4.072 * [taylor]: Taking taylor expansion of 0 in lambda1 4.072 * [taylor]: Taking taylor expansion of 0 in lambda2 4.072 * [taylor]: Taking taylor expansion of 0 in lambda1 4.072 * [taylor]: Taking taylor expansion of 0 in lambda2 4.073 * * * * [progress]: [ 2 / 4 ] generating series at (2) 4.073 * [approximate]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 4.073 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R 4.073 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 4.073 * [taylor]: Taking taylor expansion of R in R 4.073 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2 4.073 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 4.074 * [taylor]: Taking taylor expansion of R in lambda2 4.074 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1 4.074 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 4.074 * [taylor]: Taking taylor expansion of R in lambda1 4.074 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2 4.074 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 4.074 * [taylor]: Taking taylor expansion of R in phi2 4.074 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1 4.074 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 4.075 * [taylor]: Taking taylor expansion of R in phi1 4.075 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1 4.075 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 4.075 * [taylor]: Taking taylor expansion of R in phi1 4.075 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2 4.075 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 4.075 * [taylor]: Taking taylor expansion of R in phi2 4.076 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1 4.076 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 4.076 * [taylor]: Taking taylor expansion of R in lambda1 4.076 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2 4.076 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 4.077 * [taylor]: Taking taylor expansion of R in lambda2 4.077 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R 4.077 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 4.077 * [taylor]: Taking taylor expansion of R in R 4.078 * [taylor]: Taking taylor expansion of 0 in phi2 4.078 * [taylor]: Taking taylor expansion of 0 in lambda1 4.078 * [taylor]: Taking taylor expansion of 0 in lambda2 4.078 * [taylor]: Taking taylor expansion of 0 in R 4.078 * [taylor]: Taking taylor expansion of 0 in lambda1 4.078 * [taylor]: Taking taylor expansion of 0 in lambda2 4.078 * [taylor]: Taking taylor expansion of 0 in R 4.078 * [taylor]: Taking taylor expansion of 0 in lambda2 4.078 * [taylor]: Taking taylor expansion of 0 in R 4.079 * [taylor]: Taking taylor expansion of 0 in R 4.080 * [taylor]: Taking taylor expansion of 0 in phi2 4.080 * [taylor]: Taking taylor expansion of 0 in lambda1 4.080 * [taylor]: Taking taylor expansion of 0 in lambda2 4.080 * [taylor]: Taking taylor expansion of 0 in R 4.080 * [taylor]: Taking taylor expansion of 0 in lambda1 4.080 * [taylor]: Taking taylor expansion of 0 in lambda2 4.080 * [taylor]: Taking taylor expansion of 0 in R 4.080 * [taylor]: Taking taylor expansion of 0 in lambda1 4.080 * [taylor]: Taking taylor expansion of 0 in lambda2 4.080 * [taylor]: Taking taylor expansion of 0 in R 4.080 * [taylor]: Taking taylor expansion of 0 in lambda2 4.080 * [taylor]: Taking taylor expansion of 0 in R 4.080 * [taylor]: Taking taylor expansion of 0 in lambda2 4.080 * [taylor]: Taking taylor expansion of 0 in R 4.080 * [taylor]: Taking taylor expansion of 0 in lambda2 4.080 * [taylor]: Taking taylor expansion of 0 in R 4.081 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 4.081 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in R 4.081 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in R 4.082 * [taylor]: Taking taylor expansion of R in R 4.082 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in lambda2 4.082 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda2 4.082 * [taylor]: Taking taylor expansion of R in lambda2 4.083 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in lambda1 4.083 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda1 4.083 * [taylor]: Taking taylor expansion of R in lambda1 4.085 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in phi2 4.085 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi2 4.086 * [taylor]: Taking taylor expansion of R in phi2 4.086 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in phi1 4.086 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi1 4.086 * [taylor]: Taking taylor expansion of R in phi1 4.087 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in phi1 4.087 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi1 4.087 * [taylor]: Taking taylor expansion of R in phi1 4.087 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in phi2 4.087 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi2 4.088 * [taylor]: Taking taylor expansion of R in phi2 4.088 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in lambda1 4.088 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda1 4.089 * [taylor]: Taking taylor expansion of R in lambda1 4.089 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in lambda2 4.089 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda2 4.089 * [taylor]: Taking taylor expansion of R in lambda2 4.090 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in R 4.090 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in R 4.090 * [taylor]: Taking taylor expansion of R in R 4.091 * [taylor]: Taking taylor expansion of 0 in phi2 4.091 * [taylor]: Taking taylor expansion of 0 in lambda1 4.091 * [taylor]: Taking taylor expansion of 0 in lambda2 4.091 * [taylor]: Taking taylor expansion of 0 in R 4.092 * [taylor]: Taking taylor expansion of 0 in lambda1 4.092 * [taylor]: Taking taylor expansion of 0 in lambda2 4.092 * [taylor]: Taking taylor expansion of 0 in R 4.092 * [taylor]: Taking taylor expansion of 0 in lambda2 4.092 * [taylor]: Taking taylor expansion of 0 in R 4.093 * [taylor]: Taking taylor expansion of 0 in R 4.093 * [taylor]: Taking taylor expansion of 0 in phi2 4.093 * [taylor]: Taking taylor expansion of 0 in lambda1 4.093 * [taylor]: Taking taylor expansion of 0 in lambda2 4.093 * [taylor]: Taking taylor expansion of 0 in R 4.093 * [taylor]: Taking taylor expansion of 0 in lambda1 4.093 * [taylor]: Taking taylor expansion of 0 in lambda2 4.093 * [taylor]: Taking taylor expansion of 0 in R 4.094 * [taylor]: Taking taylor expansion of 0 in lambda1 4.094 * [taylor]: Taking taylor expansion of 0 in lambda2 4.094 * [taylor]: Taking taylor expansion of 0 in R 4.094 * [taylor]: Taking taylor expansion of 0 in lambda2 4.094 * [taylor]: Taking taylor expansion of 0 in R 4.094 * [taylor]: Taking taylor expansion of 0 in lambda2 4.094 * [taylor]: Taking taylor expansion of 0 in R 4.094 * [taylor]: Taking taylor expansion of 0 in lambda2 4.094 * [taylor]: Taking taylor expansion of 0 in R 4.094 * [taylor]: Taking taylor expansion of 0 in R 4.095 * [taylor]: Taking taylor expansion of 0 in R 4.095 * [taylor]: Taking taylor expansion of 0 in R 4.095 * [taylor]: Taking taylor expansion of 0 in R 4.096 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 4.096 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 4.096 * [taylor]: Taking taylor expansion of -1 in R 4.096 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 4.096 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 4.097 * [taylor]: Taking taylor expansion of R in R 4.097 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 4.097 * [taylor]: Taking taylor expansion of -1 in lambda2 4.097 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 4.097 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 4.098 * [taylor]: Taking taylor expansion of R in lambda2 4.098 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 4.098 * [taylor]: Taking taylor expansion of -1 in lambda1 4.098 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 4.098 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 4.098 * [taylor]: Taking taylor expansion of R in lambda1 4.099 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 4.099 * [taylor]: Taking taylor expansion of -1 in phi2 4.099 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 4.099 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 4.099 * [taylor]: Taking taylor expansion of R in phi2 4.099 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 4.099 * [taylor]: Taking taylor expansion of -1 in phi1 4.099 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 4.100 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 4.100 * [taylor]: Taking taylor expansion of R in phi1 4.100 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 4.100 * [taylor]: Taking taylor expansion of -1 in phi1 4.100 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 4.100 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 4.101 * [taylor]: Taking taylor expansion of R in phi1 4.101 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 4.101 * [taylor]: Taking taylor expansion of -1 in phi2 4.101 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 4.101 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 4.102 * [taylor]: Taking taylor expansion of R in phi2 4.102 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 4.103 * [taylor]: Taking taylor expansion of -1 in lambda1 4.103 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 4.103 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 4.103 * [taylor]: Taking taylor expansion of R in lambda1 4.104 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 4.104 * [taylor]: Taking taylor expansion of -1 in lambda2 4.104 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 4.104 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 4.104 * [taylor]: Taking taylor expansion of R in lambda2 4.105 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 4.105 * [taylor]: Taking taylor expansion of -1 in R 4.105 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 4.105 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 4.105 * [taylor]: Taking taylor expansion of R in R 4.107 * [taylor]: Taking taylor expansion of 0 in phi2 4.107 * [taylor]: Taking taylor expansion of 0 in lambda1 4.107 * [taylor]: Taking taylor expansion of 0 in lambda2 4.107 * [taylor]: Taking taylor expansion of 0 in R 4.108 * [taylor]: Taking taylor expansion of 0 in lambda1 4.108 * [taylor]: Taking taylor expansion of 0 in lambda2 4.108 * [taylor]: Taking taylor expansion of 0 in R 4.109 * [taylor]: Taking taylor expansion of 0 in lambda2 4.109 * [taylor]: Taking taylor expansion of 0 in R 4.110 * [taylor]: Taking taylor expansion of 0 in R 4.111 * [taylor]: Taking taylor expansion of 0 in phi2 4.111 * [taylor]: Taking taylor expansion of 0 in lambda1 4.111 * [taylor]: Taking taylor expansion of 0 in lambda2 4.111 * [taylor]: Taking taylor expansion of 0 in R 4.111 * [taylor]: Taking taylor expansion of 0 in lambda1 4.111 * [taylor]: Taking taylor expansion of 0 in lambda2 4.111 * [taylor]: Taking taylor expansion of 0 in R 4.112 * [taylor]: Taking taylor expansion of 0 in lambda1 4.112 * [taylor]: Taking taylor expansion of 0 in lambda2 4.112 * [taylor]: Taking taylor expansion of 0 in R 4.112 * [taylor]: Taking taylor expansion of 0 in lambda2 4.112 * [taylor]: Taking taylor expansion of 0 in R 4.112 * [taylor]: Taking taylor expansion of 0 in lambda2 4.112 * [taylor]: Taking taylor expansion of 0 in R 4.113 * [taylor]: Taking taylor expansion of 0 in lambda2 4.113 * [taylor]: Taking taylor expansion of 0 in R 4.113 * [taylor]: Taking taylor expansion of 0 in R 4.113 * [taylor]: Taking taylor expansion of 0 in R 4.113 * [taylor]: Taking taylor expansion of 0 in R 4.114 * [taylor]: Taking taylor expansion of 0 in R 4.115 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 4.115 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 4.115 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 4.115 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 4.115 * [taylor]: Taking taylor expansion of phi1 in phi2 4.115 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 4.115 * [taylor]: Taking taylor expansion of phi2 in phi2 4.115 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 4.115 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 4.116 * [taylor]: Taking taylor expansion of phi1 in phi1 4.116 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 4.116 * [taylor]: Taking taylor expansion of phi2 in phi1 4.116 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 4.116 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 4.116 * [taylor]: Taking taylor expansion of phi1 in phi1 4.116 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 4.116 * [taylor]: Taking taylor expansion of phi2 in phi1 4.116 * [taylor]: Taking taylor expansion of 0 in phi2 4.116 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 4.116 * [taylor]: Taking taylor expansion of phi2 in phi2 4.116 * [taylor]: Taking taylor expansion of 0 in phi2 4.117 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin phi2))) in phi2 4.117 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 4.117 * [taylor]: Taking taylor expansion of 1/6 in phi2 4.117 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 4.117 * [taylor]: Taking taylor expansion of phi2 in phi2 4.118 * [taylor]: Taking taylor expansion of 0 in phi2 4.118 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 4.118 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 4.118 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 4.118 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 4.118 * [taylor]: Taking taylor expansion of phi1 in phi2 4.118 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 4.118 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 4.118 * [taylor]: Taking taylor expansion of phi2 in phi2 4.118 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 4.118 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 4.118 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 4.118 * [taylor]: Taking taylor expansion of phi1 in phi1 4.118 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 4.118 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 4.118 * [taylor]: Taking taylor expansion of phi2 in phi1 4.118 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 4.118 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 4.118 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 4.118 * [taylor]: Taking taylor expansion of phi1 in phi1 4.119 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 4.119 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 4.119 * [taylor]: Taking taylor expansion of phi2 in phi1 4.119 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 4.119 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 4.119 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 4.119 * [taylor]: Taking taylor expansion of phi1 in phi2 4.119 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 4.119 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 4.119 * [taylor]: Taking taylor expansion of phi2 in phi2 4.119 * [taylor]: Taking taylor expansion of 0 in phi2 4.120 * [taylor]: Taking taylor expansion of 0 in phi2 4.121 * [taylor]: Taking taylor expansion of 0 in phi2 4.121 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 4.121 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 4.121 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 4.121 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 4.121 * [taylor]: Taking taylor expansion of -1 in phi2 4.121 * [taylor]: Taking taylor expansion of phi1 in phi2 4.121 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 4.121 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 4.121 * [taylor]: Taking taylor expansion of -1 in phi2 4.121 * [taylor]: Taking taylor expansion of phi2 in phi2 4.121 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 4.121 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 4.121 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 4.121 * [taylor]: Taking taylor expansion of -1 in phi1 4.121 * [taylor]: Taking taylor expansion of phi1 in phi1 4.121 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 4.121 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 4.121 * [taylor]: Taking taylor expansion of -1 in phi1 4.121 * [taylor]: Taking taylor expansion of phi2 in phi1 4.121 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 4.121 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 4.121 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 4.121 * [taylor]: Taking taylor expansion of -1 in phi1 4.122 * [taylor]: Taking taylor expansion of phi1 in phi1 4.122 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 4.122 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 4.122 * [taylor]: Taking taylor expansion of -1 in phi1 4.122 * [taylor]: Taking taylor expansion of phi2 in phi1 4.122 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 4.122 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 4.122 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 4.122 * [taylor]: Taking taylor expansion of -1 in phi2 4.122 * [taylor]: Taking taylor expansion of phi1 in phi2 4.122 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 4.122 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 4.122 * [taylor]: Taking taylor expansion of -1 in phi2 4.122 * [taylor]: Taking taylor expansion of phi2 in phi2 4.122 * [taylor]: Taking taylor expansion of 0 in phi2 4.123 * [taylor]: Taking taylor expansion of 0 in phi2 4.124 * [taylor]: Taking taylor expansion of 0 in phi2 4.124 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 2 2) 4.124 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 4.124 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 4.124 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 4.124 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.124 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 4.124 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.124 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 4.124 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 4.124 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.124 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 4.124 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.124 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 4.124 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 4.124 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.124 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 4.124 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.125 * [taylor]: Taking taylor expansion of 0 in lambda2 4.125 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 4.125 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.125 * [taylor]: Taking taylor expansion of 0 in lambda2 4.126 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin lambda2))) in lambda2 4.126 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 4.126 * [taylor]: Taking taylor expansion of 1/6 in lambda2 4.126 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 4.126 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.127 * [taylor]: Taking taylor expansion of 0 in lambda2 4.127 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 4.127 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 4.127 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 4.127 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 4.127 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.127 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 4.127 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 4.127 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.127 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 4.127 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 4.127 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 4.127 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.127 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 4.127 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 4.127 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.127 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 4.127 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 4.127 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 4.127 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.127 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 4.127 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 4.127 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.127 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 4.127 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 4.128 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 4.128 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.128 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 4.128 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 4.128 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.128 * [taylor]: Taking taylor expansion of 0 in lambda2 4.129 * [taylor]: Taking taylor expansion of 0 in lambda2 4.129 * [taylor]: Taking taylor expansion of 0 in lambda2 4.130 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 4.130 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 4.130 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 4.130 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 4.130 * [taylor]: Taking taylor expansion of -1 in lambda2 4.130 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.130 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 4.130 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 4.130 * [taylor]: Taking taylor expansion of -1 in lambda2 4.130 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.130 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 4.130 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 4.130 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 4.130 * [taylor]: Taking taylor expansion of -1 in lambda1 4.130 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.130 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 4.130 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 4.130 * [taylor]: Taking taylor expansion of -1 in lambda1 4.130 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.130 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 4.130 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 4.130 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 4.130 * [taylor]: Taking taylor expansion of -1 in lambda1 4.130 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.130 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 4.130 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 4.130 * [taylor]: Taking taylor expansion of -1 in lambda1 4.130 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.131 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 4.131 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 4.131 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 4.131 * [taylor]: Taking taylor expansion of -1 in lambda2 4.131 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.131 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 4.131 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 4.131 * [taylor]: Taking taylor expansion of -1 in lambda2 4.131 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.131 * [taylor]: Taking taylor expansion of 0 in lambda2 4.132 * [taylor]: Taking taylor expansion of 0 in lambda2 4.133 * [taylor]: Taking taylor expansion of 0 in lambda2 4.133 * * * [progress]: simplifying candidates 4.134 * [simplify]: Simplifying using # : (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (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)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) R) (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) 4.173 * * [simplify]: iteration 0 : 4919 enodes (cost 1173 ) 4.173 * * [simplify]: iteration 1 : 4919 enodes (cost 1173 ) 4.177 * [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)) (pow (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))) (pow (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) (* (sin phi2) (cbrt (sin phi1))) (* (sin phi2) (sqrt (sin phi1))) (* (sin phi1) (sin phi2)) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2)) (log (* (sin lambda1) (sin lambda2))) (log (* (sin lambda1) (sin lambda2))) (pow (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) (* (sin lambda2) (cbrt (sin lambda1))) (* (sin lambda2) (sqrt (sin lambda1))) (* (sin lambda1) (sin lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* phi1 phi2) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (* lambda1 lambda2) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) 4.177 * * * [progress]: adding candidates to table 4.246 * * [progress]: iteration 4 / 4 4.246 * * * [progress]: picking best candidate 4.330 * * * * [pick]: Picked # 4.330 * * * [progress]: localizing error 4.365 * * * [progress]: generating rewritten candidates 4.366 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 4.367 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 4.369 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 4.371 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 4.377 * * * [progress]: generating series expansions 4.377 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 4.378 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 4.378 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 4.378 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 4.378 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 4.379 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 4.379 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 4.379 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 4.379 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 4.380 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 4.380 * [taylor]: Taking taylor expansion of 0 in phi2 4.380 * [taylor]: Taking taylor expansion of 0 in lambda1 4.380 * [taylor]: Taking taylor expansion of 0 in lambda2 4.380 * [taylor]: Taking taylor expansion of 0 in lambda1 4.380 * [taylor]: Taking taylor expansion of 0 in lambda2 4.380 * [taylor]: Taking taylor expansion of 0 in lambda2 4.380 * [taylor]: Taking taylor expansion of 0 in phi2 4.380 * [taylor]: Taking taylor expansion of 0 in lambda1 4.380 * [taylor]: Taking taylor expansion of 0 in lambda2 4.380 * [taylor]: Taking taylor expansion of 0 in lambda1 4.380 * [taylor]: Taking taylor expansion of 0 in lambda2 4.381 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 4.381 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 4.381 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 4.382 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 4.382 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 4.382 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 4.383 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 4.383 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 4.384 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 4.384 * [taylor]: Taking taylor expansion of 0 in phi2 4.385 * [taylor]: Taking taylor expansion of 0 in lambda1 4.385 * [taylor]: Taking taylor expansion of 0 in lambda2 4.385 * [taylor]: Taking taylor expansion of 0 in lambda1 4.385 * [taylor]: Taking taylor expansion of 0 in lambda2 4.385 * [taylor]: Taking taylor expansion of 0 in lambda2 4.385 * [taylor]: Taking taylor expansion of 0 in phi2 4.385 * [taylor]: Taking taylor expansion of 0 in lambda1 4.385 * [taylor]: Taking taylor expansion of 0 in lambda2 4.385 * [taylor]: Taking taylor expansion of 0 in lambda1 4.385 * [taylor]: Taking taylor expansion of 0 in lambda2 4.386 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 4.386 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 4.386 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 4.386 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 4.387 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 4.387 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 4.387 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 4.388 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 4.388 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 4.389 * [taylor]: Taking taylor expansion of 0 in phi2 4.389 * [taylor]: Taking taylor expansion of 0 in lambda1 4.389 * [taylor]: Taking taylor expansion of 0 in lambda2 4.389 * [taylor]: Taking taylor expansion of 0 in lambda1 4.389 * [taylor]: Taking taylor expansion of 0 in lambda2 4.389 * [taylor]: Taking taylor expansion of 0 in lambda2 4.389 * [taylor]: Taking taylor expansion of 0 in phi2 4.389 * [taylor]: Taking taylor expansion of 0 in lambda1 4.389 * [taylor]: Taking taylor expansion of 0 in lambda2 4.389 * [taylor]: Taking taylor expansion of 0 in lambda1 4.389 * [taylor]: Taking taylor expansion of 0 in lambda2 4.390 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 4.390 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 4.390 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 4.390 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 4.391 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 4.391 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 4.391 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 4.391 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 4.392 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 4.392 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 4.392 * [taylor]: Taking taylor expansion of 0 in phi2 4.392 * [taylor]: Taking taylor expansion of 0 in lambda1 4.392 * [taylor]: Taking taylor expansion of 0 in lambda2 4.392 * [taylor]: Taking taylor expansion of 0 in lambda1 4.392 * [taylor]: Taking taylor expansion of 0 in lambda2 4.393 * [taylor]: Taking taylor expansion of 0 in lambda2 4.393 * [taylor]: Taking taylor expansion of 0 in phi2 4.393 * [taylor]: Taking taylor expansion of 0 in lambda1 4.393 * [taylor]: Taking taylor expansion of 0 in lambda2 4.393 * [taylor]: Taking taylor expansion of 0 in lambda1 4.393 * [taylor]: Taking taylor expansion of 0 in lambda2 4.393 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 4.393 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 4.394 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 4.394 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 4.394 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 4.395 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 4.395 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 4.395 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 4.396 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 4.397 * [taylor]: Taking taylor expansion of 0 in phi2 4.397 * [taylor]: Taking taylor expansion of 0 in lambda1 4.397 * [taylor]: Taking taylor expansion of 0 in lambda2 4.397 * [taylor]: Taking taylor expansion of 0 in lambda1 4.397 * [taylor]: Taking taylor expansion of 0 in lambda2 4.397 * [taylor]: Taking taylor expansion of 0 in lambda2 4.397 * [taylor]: Taking taylor expansion of 0 in phi2 4.397 * [taylor]: Taking taylor expansion of 0 in lambda1 4.397 * [taylor]: Taking taylor expansion of 0 in lambda2 4.397 * [taylor]: Taking taylor expansion of 0 in lambda1 4.397 * [taylor]: Taking taylor expansion of 0 in lambda2 4.400 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 4.400 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 4.400 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 4.401 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 4.401 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 4.401 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 4.402 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 4.402 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 4.402 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 4.403 * [taylor]: Taking taylor expansion of 0 in phi2 4.403 * [taylor]: Taking taylor expansion of 0 in lambda1 4.403 * [taylor]: Taking taylor expansion of 0 in lambda2 4.403 * [taylor]: Taking taylor expansion of 0 in lambda1 4.403 * [taylor]: Taking taylor expansion of 0 in lambda2 4.403 * [taylor]: Taking taylor expansion of 0 in lambda2 4.403 * [taylor]: Taking taylor expansion of 0 in phi2 4.403 * [taylor]: Taking taylor expansion of 0 in lambda1 4.403 * [taylor]: Taking taylor expansion of 0 in lambda2 4.403 * [taylor]: Taking taylor expansion of 0 in lambda1 4.403 * [taylor]: Taking taylor expansion of 0 in lambda2 4.404 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 4.404 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 4.404 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2 4.404 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 4.405 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1 4.405 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 4.405 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2 4.405 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 4.406 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1 4.406 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 4.406 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1 4.406 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 4.407 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2 4.407 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 4.408 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1 4.408 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 4.408 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2 4.408 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 4.410 * [taylor]: Taking taylor expansion of 0 in phi2 4.410 * [taylor]: Taking taylor expansion of 0 in lambda1 4.410 * [taylor]: Taking taylor expansion of 0 in lambda2 4.410 * [taylor]: Taking taylor expansion of 0 in lambda1 4.410 * [taylor]: Taking taylor expansion of 0 in lambda2 4.410 * [taylor]: Taking taylor expansion of 0 in lambda2 4.411 * [taylor]: Taking taylor expansion of 0 in phi2 4.411 * [taylor]: Taking taylor expansion of 0 in lambda1 4.411 * [taylor]: Taking taylor expansion of 0 in lambda2 4.411 * [taylor]: Taking taylor expansion of 0 in lambda1 4.411 * [taylor]: Taking taylor expansion of 0 in lambda2 4.412 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in (phi1 phi2 lambda1 lambda2) around 0 4.412 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2 4.412 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 4.413 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1 4.413 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 4.413 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2 4.413 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 4.414 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1 4.414 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 4.415 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1 4.415 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 4.415 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2 4.415 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 4.416 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1 4.416 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 4.417 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2 4.417 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 4.418 * [taylor]: Taking taylor expansion of 0 in phi2 4.418 * [taylor]: Taking taylor expansion of 0 in lambda1 4.418 * [taylor]: Taking taylor expansion of 0 in lambda2 4.419 * [taylor]: Taking taylor expansion of 0 in lambda1 4.419 * [taylor]: Taking taylor expansion of 0 in lambda2 4.419 * [taylor]: Taking taylor expansion of 0 in lambda2 4.420 * [taylor]: Taking taylor expansion of 0 in phi2 4.420 * [taylor]: Taking taylor expansion of 0 in lambda1 4.420 * [taylor]: Taking taylor expansion of 0 in lambda2 4.420 * [taylor]: Taking taylor expansion of 0 in lambda1 4.420 * [taylor]: Taking taylor expansion of 0 in lambda2 4.421 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 4.421 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2 4.421 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 4.422 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda1 4.422 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 4.422 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2 4.422 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 4.423 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi1 4.423 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 4.424 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi1 4.424 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 4.425 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2 4.425 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 4.425 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda1 4.425 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 4.426 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2 4.426 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 4.428 * [taylor]: Taking taylor expansion of 0 in phi2 4.428 * [taylor]: Taking taylor expansion of 0 in lambda1 4.428 * [taylor]: Taking taylor expansion of 0 in lambda2 4.428 * [taylor]: Taking taylor expansion of 0 in lambda1 4.428 * [taylor]: Taking taylor expansion of 0 in lambda2 4.428 * [taylor]: Taking taylor expansion of 0 in lambda2 4.429 * [taylor]: Taking taylor expansion of 0 in phi2 4.429 * [taylor]: Taking taylor expansion of 0 in lambda1 4.429 * [taylor]: Taking taylor expansion of 0 in lambda2 4.429 * [taylor]: Taking taylor expansion of 0 in lambda1 4.429 * [taylor]: Taking taylor expansion of 0 in lambda2 4.430 * * * * [progress]: [ 4 / 4 ] generating series at (2) 4.430 * [approximate]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 4.430 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R 4.430 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 4.431 * [taylor]: Taking taylor expansion of R in R 4.431 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2 4.431 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 4.431 * [taylor]: Taking taylor expansion of R in lambda2 4.431 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1 4.431 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 4.431 * [taylor]: Taking taylor expansion of R in lambda1 4.431 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2 4.431 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 4.432 * [taylor]: Taking taylor expansion of R in phi2 4.432 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1 4.432 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 4.432 * [taylor]: Taking taylor expansion of R in phi1 4.432 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1 4.432 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 4.432 * [taylor]: Taking taylor expansion of R in phi1 4.432 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2 4.432 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 4.433 * [taylor]: Taking taylor expansion of R in phi2 4.433 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1 4.433 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 4.433 * [taylor]: Taking taylor expansion of R in lambda1 4.434 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2 4.434 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 4.434 * [taylor]: Taking taylor expansion of R in lambda2 4.434 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R 4.434 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 4.435 * [taylor]: Taking taylor expansion of R in R 4.435 * [taylor]: Taking taylor expansion of 0 in phi2 4.435 * [taylor]: Taking taylor expansion of 0 in lambda1 4.435 * [taylor]: Taking taylor expansion of 0 in lambda2 4.435 * [taylor]: Taking taylor expansion of 0 in R 4.436 * [taylor]: Taking taylor expansion of 0 in lambda1 4.436 * [taylor]: Taking taylor expansion of 0 in lambda2 4.436 * [taylor]: Taking taylor expansion of 0 in R 4.436 * [taylor]: Taking taylor expansion of 0 in lambda2 4.436 * [taylor]: Taking taylor expansion of 0 in R 4.436 * [taylor]: Taking taylor expansion of 0 in R 4.437 * [taylor]: Taking taylor expansion of 0 in phi2 4.437 * [taylor]: Taking taylor expansion of 0 in lambda1 4.437 * [taylor]: Taking taylor expansion of 0 in lambda2 4.437 * [taylor]: Taking taylor expansion of 0 in R 4.437 * [taylor]: Taking taylor expansion of 0 in lambda1 4.437 * [taylor]: Taking taylor expansion of 0 in lambda2 4.437 * [taylor]: Taking taylor expansion of 0 in R 4.437 * [taylor]: Taking taylor expansion of 0 in lambda1 4.438 * [taylor]: Taking taylor expansion of 0 in lambda2 4.438 * [taylor]: Taking taylor expansion of 0 in R 4.438 * [taylor]: Taking taylor expansion of 0 in lambda2 4.438 * [taylor]: Taking taylor expansion of 0 in R 4.438 * [taylor]: Taking taylor expansion of 0 in lambda2 4.438 * [taylor]: Taking taylor expansion of 0 in R 4.438 * [taylor]: Taking taylor expansion of 0 in lambda2 4.438 * [taylor]: Taking taylor expansion of 0 in R 4.439 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 4.439 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 4.439 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 4.439 * [taylor]: Taking taylor expansion of R in R 4.439 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 4.439 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 4.440 * [taylor]: Taking taylor expansion of R in lambda2 4.440 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 4.440 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 4.441 * [taylor]: Taking taylor expansion of R in lambda1 4.441 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 4.441 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 4.441 * [taylor]: Taking taylor expansion of R in phi2 4.442 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 4.442 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 4.442 * [taylor]: Taking taylor expansion of R in phi1 4.442 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 4.442 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 4.443 * [taylor]: Taking taylor expansion of R in phi1 4.443 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 4.443 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 4.444 * [taylor]: Taking taylor expansion of R in phi2 4.444 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 4.444 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 4.444 * [taylor]: Taking taylor expansion of R in lambda1 4.445 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 4.445 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 4.445 * [taylor]: Taking taylor expansion of R in lambda2 4.446 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 4.446 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 4.446 * [taylor]: Taking taylor expansion of R in R 4.447 * [taylor]: Taking taylor expansion of 0 in phi2 4.447 * [taylor]: Taking taylor expansion of 0 in lambda1 4.447 * [taylor]: Taking taylor expansion of 0 in lambda2 4.447 * [taylor]: Taking taylor expansion of 0 in R 4.448 * [taylor]: Taking taylor expansion of 0 in lambda1 4.448 * [taylor]: Taking taylor expansion of 0 in lambda2 4.448 * [taylor]: Taking taylor expansion of 0 in R 4.448 * [taylor]: Taking taylor expansion of 0 in lambda2 4.448 * [taylor]: Taking taylor expansion of 0 in R 4.448 * [taylor]: Taking taylor expansion of 0 in R 4.449 * [taylor]: Taking taylor expansion of 0 in phi2 4.449 * [taylor]: Taking taylor expansion of 0 in lambda1 4.449 * [taylor]: Taking taylor expansion of 0 in lambda2 4.449 * [taylor]: Taking taylor expansion of 0 in R 4.449 * [taylor]: Taking taylor expansion of 0 in lambda1 4.449 * [taylor]: Taking taylor expansion of 0 in lambda2 4.449 * [taylor]: Taking taylor expansion of 0 in R 4.450 * [taylor]: Taking taylor expansion of 0 in lambda1 4.450 * [taylor]: Taking taylor expansion of 0 in lambda2 4.450 * [taylor]: Taking taylor expansion of 0 in R 4.450 * [taylor]: Taking taylor expansion of 0 in lambda2 4.450 * [taylor]: Taking taylor expansion of 0 in R 4.450 * [taylor]: Taking taylor expansion of 0 in lambda2 4.450 * [taylor]: Taking taylor expansion of 0 in R 4.450 * [taylor]: Taking taylor expansion of 0 in lambda2 4.450 * [taylor]: Taking taylor expansion of 0 in R 4.450 * [taylor]: Taking taylor expansion of 0 in R 4.450 * [taylor]: Taking taylor expansion of 0 in R 4.450 * [taylor]: Taking taylor expansion of 0 in R 4.451 * [taylor]: Taking taylor expansion of 0 in R 4.452 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 4.452 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 4.452 * [taylor]: Taking taylor expansion of -1 in R 4.452 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 4.452 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 4.453 * [taylor]: Taking taylor expansion of R in R 4.453 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 4.453 * [taylor]: Taking taylor expansion of -1 in lambda2 4.453 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 4.453 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 4.453 * [taylor]: Taking taylor expansion of R in lambda2 4.454 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 4.454 * [taylor]: Taking taylor expansion of -1 in lambda1 4.454 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 4.454 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 4.454 * [taylor]: Taking taylor expansion of R in lambda1 4.455 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 4.455 * [taylor]: Taking taylor expansion of -1 in phi2 4.455 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 4.455 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 4.455 * [taylor]: Taking taylor expansion of R in phi2 4.455 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 4.455 * [taylor]: Taking taylor expansion of -1 in phi1 4.455 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 4.455 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 4.456 * [taylor]: Taking taylor expansion of R in phi1 4.456 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 4.456 * [taylor]: Taking taylor expansion of -1 in phi1 4.456 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 4.456 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 4.457 * [taylor]: Taking taylor expansion of R in phi1 4.457 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 4.457 * [taylor]: Taking taylor expansion of -1 in phi2 4.457 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 4.457 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 4.458 * [taylor]: Taking taylor expansion of R in phi2 4.458 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 4.458 * [taylor]: Taking taylor expansion of -1 in lambda1 4.458 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 4.459 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 4.459 * [taylor]: Taking taylor expansion of R in lambda1 4.460 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 4.460 * [taylor]: Taking taylor expansion of -1 in lambda2 4.460 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 4.460 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 4.460 * [taylor]: Taking taylor expansion of R in lambda2 4.461 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 4.461 * [taylor]: Taking taylor expansion of -1 in R 4.461 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 4.461 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 4.461 * [taylor]: Taking taylor expansion of R in R 4.463 * [taylor]: Taking taylor expansion of 0 in phi2 4.463 * [taylor]: Taking taylor expansion of 0 in lambda1 4.463 * [taylor]: Taking taylor expansion of 0 in lambda2 4.463 * [taylor]: Taking taylor expansion of 0 in R 4.464 * [taylor]: Taking taylor expansion of 0 in lambda1 4.464 * [taylor]: Taking taylor expansion of 0 in lambda2 4.464 * [taylor]: Taking taylor expansion of 0 in R 4.465 * [taylor]: Taking taylor expansion of 0 in lambda2 4.465 * [taylor]: Taking taylor expansion of 0 in R 4.465 * [taylor]: Taking taylor expansion of 0 in R 4.467 * [taylor]: Taking taylor expansion of 0 in phi2 4.467 * [taylor]: Taking taylor expansion of 0 in lambda1 4.467 * [taylor]: Taking taylor expansion of 0 in lambda2 4.467 * [taylor]: Taking taylor expansion of 0 in R 4.467 * [taylor]: Taking taylor expansion of 0 in lambda1 4.467 * [taylor]: Taking taylor expansion of 0 in lambda2 4.467 * [taylor]: Taking taylor expansion of 0 in R 4.468 * [taylor]: Taking taylor expansion of 0 in lambda1 4.468 * [taylor]: Taking taylor expansion of 0 in lambda2 4.468 * [taylor]: Taking taylor expansion of 0 in R 4.468 * [taylor]: Taking taylor expansion of 0 in lambda2 4.468 * [taylor]: Taking taylor expansion of 0 in R 4.468 * [taylor]: Taking taylor expansion of 0 in lambda2 4.468 * [taylor]: Taking taylor expansion of 0 in R 4.469 * [taylor]: Taking taylor expansion of 0 in lambda2 4.469 * [taylor]: Taking taylor expansion of 0 in R 4.469 * [taylor]: Taking taylor expansion of 0 in R 4.469 * [taylor]: Taking taylor expansion of 0 in R 4.469 * [taylor]: Taking taylor expansion of 0 in R 4.471 * [taylor]: Taking taylor expansion of 0 in R 4.473 * * * [progress]: simplifying candidates 4.474 * [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 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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))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) R (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (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) 4.543 * * * [progress]: adding candidates to table 4.610 * [progress]: [Phase 3 of 3] Extracting. 4.611 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # #) 4.629 * * * [regime-changes]: Trying 5 branch expressions: (phi2 phi1 lambda2 lambda1 R) 4.629 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # # # # # # # # #) 4.787 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # # # # # # # # #) 4.945 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # # # # # # # # # #) 5.103 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # # # # # # # # #) 5.260 * * * * [regimes]: Trying to branch on R from (# # # # # # # # # # # # # # # #) 5.418 * * * [regime]: Found split indices: #