0.611 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.261 * * * [progress]: [2/2] Setting up program. 0.265 * [progress]: [Phase 2 of 3] Improving. 0.265 * [simplify]: Simplifying using # : (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.266 * * [simplify]: iteration 0 : 17 enodes (cost 19 ) 0.268 * * [simplify]: iteration 1 : 26 enodes (cost 19 ) 0.271 * * [simplify]: iteration 2 : 33 enodes (cost 19 ) 0.275 * * [simplify]: iteration 3 : 34 enodes (cost 19 ) 0.279 * * [simplify]: iteration done : 34 enodes (cost 19 ) 0.285 * [simplify]: Simplified to: (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.288 * * [progress]: iteration 1 / 4 0.288 * * * [progress]: picking best candidate 0.292 * * * * [pick]: Picked # 0.292 * * * [progress]: localizing error 0.319 * * * [progress]: generating rewritten candidates 0.319 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 0.327 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.328 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.331 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.338 * * * [progress]: generating series expansions 0.338 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 0.341 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 0.342 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 0.342 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 0.342 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.342 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.343 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.343 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.343 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.343 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.343 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.343 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.343 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.343 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.346 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.346 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.346 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.350 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 0.350 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 0.350 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.350 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.354 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 0.354 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 0.354 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.354 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.354 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.354 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.357 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 0.357 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.357 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.357 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.357 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.357 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.357 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.358 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.358 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.358 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.358 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.359 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.359 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.359 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.359 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.359 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.359 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.359 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.359 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.360 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.360 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.360 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.360 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.360 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.360 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.361 * [taylor]: Taking taylor expansion of 0 in lambda2 0.361 * [taylor]: Taking taylor expansion of 0 in lambda2 0.361 * [taylor]: Taking taylor expansion of 0 in lambda2 0.361 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 0.361 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.361 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.361 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.361 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.361 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.362 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.362 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.362 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.362 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.362 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.362 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.362 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.363 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.363 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.363 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.363 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.363 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.363 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.364 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.364 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.364 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.364 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.364 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.364 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.365 * [taylor]: Taking taylor expansion of 0 in lambda2 0.365 * [taylor]: Taking taylor expansion of 0 in lambda2 0.365 * [taylor]: Taking taylor expansion of 0 in lambda2 0.365 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.365 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.365 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.366 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.367 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.367 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.367 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.367 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.367 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.368 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.368 * [taylor]: Taking taylor expansion of 0 in phi2 0.368 * [taylor]: Taking taylor expansion of 0 in lambda1 0.368 * [taylor]: Taking taylor expansion of 0 in lambda2 0.368 * [taylor]: Taking taylor expansion of 0 in lambda1 0.368 * [taylor]: Taking taylor expansion of 0 in lambda2 0.368 * [taylor]: Taking taylor expansion of 0 in lambda2 0.368 * [taylor]: Taking taylor expansion of 0 in phi2 0.368 * [taylor]: Taking taylor expansion of 0 in lambda1 0.368 * [taylor]: Taking taylor expansion of 0 in lambda2 0.368 * [taylor]: Taking taylor expansion of 0 in lambda1 0.368 * [taylor]: Taking taylor expansion of 0 in lambda2 0.369 * [approximate]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 0.369 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2 0.369 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1 0.369 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2 0.369 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1 0.370 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1 0.370 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2 0.370 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1 0.371 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2 0.371 * [taylor]: Taking taylor expansion of 0 in phi2 0.371 * [taylor]: Taking taylor expansion of 0 in lambda1 0.371 * [taylor]: Taking taylor expansion of 0 in lambda2 0.371 * [taylor]: Taking taylor expansion of 0 in lambda1 0.371 * [taylor]: Taking taylor expansion of 0 in lambda2 0.371 * [taylor]: Taking taylor expansion of 0 in lambda2 0.371 * [taylor]: Taking taylor expansion of 0 in phi2 0.371 * [taylor]: Taking taylor expansion of 0 in lambda1 0.371 * [taylor]: Taking taylor expansion of 0 in lambda2 0.371 * [taylor]: Taking taylor expansion of 0 in lambda1 0.371 * [taylor]: Taking taylor expansion of 0 in lambda2 0.372 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.372 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 0.372 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 0.373 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 0.373 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 0.373 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 0.373 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 0.374 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 0.374 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 0.375 * [taylor]: Taking taylor expansion of 0 in phi2 0.375 * [taylor]: Taking taylor expansion of 0 in lambda1 0.375 * [taylor]: Taking taylor expansion of 0 in lambda2 0.375 * [taylor]: Taking taylor expansion of 0 in lambda1 0.375 * [taylor]: Taking taylor expansion of 0 in lambda2 0.375 * [taylor]: Taking taylor expansion of 0 in lambda2 0.375 * [taylor]: Taking taylor expansion of 0 in phi2 0.375 * [taylor]: Taking taylor expansion of 0 in lambda1 0.375 * [taylor]: Taking taylor expansion of 0 in lambda2 0.375 * [taylor]: Taking taylor expansion of 0 in lambda1 0.375 * [taylor]: Taking taylor expansion of 0 in lambda2 0.375 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.376 * [approximate]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 0.376 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.376 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.376 * [taylor]: Taking taylor expansion of R in R 0.376 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.376 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.376 * [taylor]: Taking taylor expansion of R in lambda2 0.376 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.376 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.376 * [taylor]: Taking taylor expansion of R in lambda1 0.376 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.376 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.377 * [taylor]: Taking taylor expansion of R in phi2 0.377 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.377 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.377 * [taylor]: Taking taylor expansion of R in phi1 0.377 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.377 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.377 * [taylor]: Taking taylor expansion of R in phi1 0.377 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.377 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.378 * [taylor]: Taking taylor expansion of R in phi2 0.378 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.378 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.378 * [taylor]: Taking taylor expansion of R in lambda1 0.378 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.378 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.378 * [taylor]: Taking taylor expansion of R in lambda2 0.379 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.379 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.379 * [taylor]: Taking taylor expansion of R in R 0.379 * [taylor]: Taking taylor expansion of 0 in phi2 0.379 * [taylor]: Taking taylor expansion of 0 in lambda1 0.379 * [taylor]: Taking taylor expansion of 0 in lambda2 0.379 * [taylor]: Taking taylor expansion of 0 in R 0.379 * [taylor]: Taking taylor expansion of 0 in lambda1 0.379 * [taylor]: Taking taylor expansion of 0 in lambda2 0.380 * [taylor]: Taking taylor expansion of 0 in R 0.380 * [taylor]: Taking taylor expansion of 0 in lambda2 0.380 * [taylor]: Taking taylor expansion of 0 in R 0.380 * [taylor]: Taking taylor expansion of 0 in R 0.382 * [taylor]: Taking taylor expansion of 0 in phi2 0.382 * [taylor]: Taking taylor expansion of 0 in lambda1 0.382 * [taylor]: Taking taylor expansion of 0 in lambda2 0.382 * [taylor]: Taking taylor expansion of 0 in R 0.382 * [taylor]: Taking taylor expansion of 0 in lambda1 0.382 * [taylor]: Taking taylor expansion of 0 in lambda2 0.382 * [taylor]: Taking taylor expansion of 0 in R 0.382 * [taylor]: Taking taylor expansion of 0 in lambda1 0.382 * [taylor]: Taking taylor expansion of 0 in lambda2 0.382 * [taylor]: Taking taylor expansion of 0 in R 0.382 * [taylor]: Taking taylor expansion of 0 in lambda2 0.382 * [taylor]: Taking taylor expansion of 0 in R 0.382 * [taylor]: Taking taylor expansion of 0 in lambda2 0.382 * [taylor]: Taking taylor expansion of 0 in R 0.383 * [taylor]: Taking taylor expansion of 0 in lambda2 0.383 * [taylor]: Taking taylor expansion of 0 in R 0.384 * [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 0.384 * [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 0.384 * [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 0.384 * [taylor]: Taking taylor expansion of R in R 0.385 * [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 lambda2 0.385 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2 0.385 * [taylor]: Taking taylor expansion of R in lambda2 0.385 * [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 0.385 * [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 0.385 * [taylor]: Taking taylor expansion of R in lambda1 0.386 * [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 0.386 * [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 0.386 * [taylor]: Taking taylor expansion of R in phi2 0.386 * [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 0.386 * [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 0.387 * [taylor]: Taking taylor expansion of R in phi1 0.387 * [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 phi1 0.387 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1 0.387 * [taylor]: Taking taylor expansion of R in phi1 0.388 * [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 phi2 0.388 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2 0.388 * [taylor]: Taking taylor expansion of R in phi2 0.388 * [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 lambda1 0.388 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1 0.388 * [taylor]: Taking taylor expansion of R in lambda1 0.389 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda2 0.389 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2 0.389 * [taylor]: Taking taylor expansion of R in lambda2 0.389 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in R 0.389 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in R 0.390 * [taylor]: Taking taylor expansion of R in R 0.391 * [taylor]: Taking taylor expansion of 0 in phi2 0.391 * [taylor]: Taking taylor expansion of 0 in lambda1 0.391 * [taylor]: Taking taylor expansion of 0 in lambda2 0.391 * [taylor]: Taking taylor expansion of 0 in R 0.391 * [taylor]: Taking taylor expansion of 0 in lambda1 0.391 * [taylor]: Taking taylor expansion of 0 in lambda2 0.391 * [taylor]: Taking taylor expansion of 0 in R 0.392 * [taylor]: Taking taylor expansion of 0 in lambda2 0.392 * [taylor]: Taking taylor expansion of 0 in R 0.392 * [taylor]: Taking taylor expansion of 0 in R 0.393 * [taylor]: Taking taylor expansion of 0 in phi2 0.394 * [taylor]: Taking taylor expansion of 0 in lambda1 0.394 * [taylor]: Taking taylor expansion of 0 in lambda2 0.394 * [taylor]: Taking taylor expansion of 0 in R 0.394 * [taylor]: Taking taylor expansion of 0 in lambda1 0.394 * [taylor]: Taking taylor expansion of 0 in lambda2 0.394 * [taylor]: Taking taylor expansion of 0 in R 0.394 * [taylor]: Taking taylor expansion of 0 in lambda1 0.394 * [taylor]: Taking taylor expansion of 0 in lambda2 0.394 * [taylor]: Taking taylor expansion of 0 in R 0.394 * [taylor]: Taking taylor expansion of 0 in lambda2 0.394 * [taylor]: Taking taylor expansion of 0 in R 0.394 * [taylor]: Taking taylor expansion of 0 in lambda2 0.394 * [taylor]: Taking taylor expansion of 0 in R 0.395 * [taylor]: Taking taylor expansion of 0 in lambda2 0.395 * [taylor]: Taking taylor expansion of 0 in R 0.395 * [taylor]: Taking taylor expansion of 0 in R 0.395 * [taylor]: Taking taylor expansion of 0 in R 0.395 * [taylor]: Taking taylor expansion of 0 in R 0.395 * [taylor]: Taking taylor expansion of 0 in R 0.404 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 0.404 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in R 0.404 * [taylor]: Taking taylor expansion of -1 in R 0.404 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in R 0.404 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in R 0.404 * [taylor]: Taking taylor expansion of R in R 0.404 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda2 0.404 * [taylor]: Taking taylor expansion of -1 in lambda2 0.404 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda2 0.405 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 0.405 * [taylor]: Taking taylor expansion of R in lambda2 0.405 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda1 0.405 * [taylor]: Taking taylor expansion of -1 in lambda1 0.405 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda1 0.405 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 0.405 * [taylor]: Taking taylor expansion of R in lambda1 0.406 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi2 0.406 * [taylor]: Taking taylor expansion of -1 in phi2 0.406 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi2 0.406 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 0.406 * [taylor]: Taking taylor expansion of R in phi2 0.406 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi1 0.406 * [taylor]: Taking taylor expansion of -1 in phi1 0.406 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi1 0.406 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 0.407 * [taylor]: Taking taylor expansion of R in phi1 0.407 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi1 0.407 * [taylor]: Taking taylor expansion of -1 in phi1 0.407 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi1 0.407 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 0.407 * [taylor]: Taking taylor expansion of R in phi1 0.408 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi2 0.408 * [taylor]: Taking taylor expansion of -1 in phi2 0.408 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi2 0.408 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 0.408 * [taylor]: Taking taylor expansion of R in phi2 0.409 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda1 0.409 * [taylor]: Taking taylor expansion of -1 in lambda1 0.409 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda1 0.409 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 0.409 * [taylor]: Taking taylor expansion of R in lambda1 0.410 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda2 0.410 * [taylor]: Taking taylor expansion of -1 in lambda2 0.410 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda2 0.410 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 0.410 * [taylor]: Taking taylor expansion of R in lambda2 0.411 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in R 0.411 * [taylor]: Taking taylor expansion of -1 in R 0.411 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in R 0.411 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in R 0.411 * [taylor]: Taking taylor expansion of R in R 0.413 * [taylor]: Taking taylor expansion of 0 in phi2 0.413 * [taylor]: Taking taylor expansion of 0 in lambda1 0.413 * [taylor]: Taking taylor expansion of 0 in lambda2 0.413 * [taylor]: Taking taylor expansion of 0 in R 0.414 * [taylor]: Taking taylor expansion of 0 in lambda1 0.414 * [taylor]: Taking taylor expansion of 0 in lambda2 0.414 * [taylor]: Taking taylor expansion of 0 in R 0.415 * [taylor]: Taking taylor expansion of 0 in lambda2 0.415 * [taylor]: Taking taylor expansion of 0 in R 0.416 * [taylor]: Taking taylor expansion of 0 in R 0.419 * [taylor]: Taking taylor expansion of 0 in phi2 0.419 * [taylor]: Taking taylor expansion of 0 in lambda1 0.419 * [taylor]: Taking taylor expansion of 0 in lambda2 0.419 * [taylor]: Taking taylor expansion of 0 in R 0.419 * [taylor]: Taking taylor expansion of 0 in lambda1 0.419 * [taylor]: Taking taylor expansion of 0 in lambda2 0.419 * [taylor]: Taking taylor expansion of 0 in R 0.420 * [taylor]: Taking taylor expansion of 0 in lambda1 0.420 * [taylor]: Taking taylor expansion of 0 in lambda2 0.420 * [taylor]: Taking taylor expansion of 0 in R 0.420 * [taylor]: Taking taylor expansion of 0 in lambda2 0.420 * [taylor]: Taking taylor expansion of 0 in R 0.420 * [taylor]: Taking taylor expansion of 0 in lambda2 0.420 * [taylor]: Taking taylor expansion of 0 in R 0.422 * [taylor]: Taking taylor expansion of 0 in lambda2 0.422 * [taylor]: Taking taylor expansion of 0 in R 0.422 * [taylor]: Taking taylor expansion of 0 in R 0.422 * [taylor]: Taking taylor expansion of 0 in R 0.422 * [taylor]: Taking taylor expansion of 0 in R 0.423 * [taylor]: Taking taylor expansion of 0 in R 0.426 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.426 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 0.426 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 0.426 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 0.426 * [taylor]: Taking taylor expansion of phi1 in phi2 0.426 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.426 * [taylor]: Taking taylor expansion of phi2 in phi2 0.426 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.426 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.426 * [taylor]: Taking taylor expansion of phi1 in phi1 0.426 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.426 * [taylor]: Taking taylor expansion of phi2 in phi1 0.426 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.426 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.426 * [taylor]: Taking taylor expansion of phi1 in phi1 0.426 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.426 * [taylor]: Taking taylor expansion of phi2 in phi1 0.427 * [taylor]: Taking taylor expansion of 0 in phi2 0.429 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.429 * [taylor]: Taking taylor expansion of phi2 in phi2 0.432 * [taylor]: Taking taylor expansion of 0 in phi2 0.437 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 0.437 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 0.437 * [taylor]: Taking taylor expansion of 1/6 in phi2 0.437 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.437 * [taylor]: Taking taylor expansion of phi2 in phi2 0.443 * [taylor]: Taking taylor expansion of 0 in phi2 0.444 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 0.444 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.444 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.444 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.444 * [taylor]: Taking taylor expansion of phi1 in phi2 0.444 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.444 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.444 * [taylor]: Taking taylor expansion of phi2 in phi2 0.444 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.444 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.444 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.444 * [taylor]: Taking taylor expansion of phi1 in phi1 0.444 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.445 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.445 * [taylor]: Taking taylor expansion of phi2 in phi1 0.445 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.445 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.445 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.445 * [taylor]: Taking taylor expansion of phi1 in phi1 0.445 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.445 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.445 * [taylor]: Taking taylor expansion of phi2 in phi1 0.445 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.445 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.445 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.445 * [taylor]: Taking taylor expansion of phi1 in phi2 0.445 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.446 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.446 * [taylor]: Taking taylor expansion of phi2 in phi2 0.448 * [taylor]: Taking taylor expansion of 0 in phi2 0.452 * [taylor]: Taking taylor expansion of 0 in phi2 0.457 * [taylor]: Taking taylor expansion of 0 in phi2 0.458 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 0.458 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.458 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.458 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.458 * [taylor]: Taking taylor expansion of -1 in phi2 0.458 * [taylor]: Taking taylor expansion of phi1 in phi2 0.458 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.458 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.458 * [taylor]: Taking taylor expansion of -1 in phi2 0.458 * [taylor]: Taking taylor expansion of phi2 in phi2 0.458 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.458 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.458 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.458 * [taylor]: Taking taylor expansion of -1 in phi1 0.458 * [taylor]: Taking taylor expansion of phi1 in phi1 0.459 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.459 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.459 * [taylor]: Taking taylor expansion of -1 in phi1 0.459 * [taylor]: Taking taylor expansion of phi2 in phi1 0.459 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.459 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.459 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.459 * [taylor]: Taking taylor expansion of -1 in phi1 0.459 * [taylor]: Taking taylor expansion of phi1 in phi1 0.459 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.459 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.459 * [taylor]: Taking taylor expansion of -1 in phi1 0.459 * [taylor]: Taking taylor expansion of phi2 in phi1 0.460 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.460 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.460 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.460 * [taylor]: Taking taylor expansion of -1 in phi2 0.460 * [taylor]: Taking taylor expansion of phi1 in phi2 0.460 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.460 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.460 * [taylor]: Taking taylor expansion of -1 in phi2 0.460 * [taylor]: Taking taylor expansion of phi2 in phi2 0.462 * [taylor]: Taking taylor expansion of 0 in phi2 0.466 * [taylor]: Taking taylor expansion of 0 in phi2 0.471 * [taylor]: Taking taylor expansion of 0 in phi2 0.471 * * * [progress]: simplifying candidates 0.473 * [simplify]: Simplifying using # : (* (cos lambda1) (cos (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)) (log (cos (- lambda1 lambda2))) (exp (cos (- lambda1 lambda2))) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 0.476 * * [simplify]: iteration 0 : 111 enodes (cost 1035 ) 0.494 * * [simplify]: iteration 1 : 204 enodes (cost 1027 ) 0.526 * * [simplify]: iteration 2 : 496 enodes (cost 889 ) 0.641 * * [simplify]: iteration 3 : 924 enodes (cost 887 ) 0.947 * * [simplify]: iteration 4 : 1395 enodes (cost 887 ) 1.465 * * [simplify]: iteration 5 : 2414 enodes (cost 887 ) 2.319 * * [simplify]: iteration done : 5001 enodes (cost 887 ) 2.320 * [simplify]: Simplified to: (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)) (log (cos (- lambda1 lambda2))) (exp (cos (- lambda1 lambda2))) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))) (pow (cos (- lambda1 lambda2)) 3) (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (+ (* lambda1 (- lambda2 (* 1/2 lambda1))) 1) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 2.321 * * * [progress]: adding candidates to table 2.557 * * [progress]: iteration 2 / 4 2.557 * * * [progress]: picking best candidate 2.625 * * * * [pick]: Picked # 2.625 * * * [progress]: localizing error 2.663 * * * [progress]: generating rewritten candidates 2.663 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 2.664 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 2.667 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2) 2.697 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 2.704 * * * [progress]: generating series expansions 2.704 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 2.704 * [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 2.704 * [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 2.705 * [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 2.705 * [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 2.705 * [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 2.706 * [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 2.706 * [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 2.707 * [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 2.707 * [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 2.708 * [taylor]: Taking taylor expansion of 0 in phi2 2.708 * [taylor]: Taking taylor expansion of 0 in lambda1 2.708 * [taylor]: Taking taylor expansion of 0 in lambda2 2.708 * [taylor]: Taking taylor expansion of 0 in lambda1 2.708 * [taylor]: Taking taylor expansion of 0 in lambda2 2.708 * [taylor]: Taking taylor expansion of 0 in lambda2 2.708 * [taylor]: Taking taylor expansion of 0 in phi2 2.708 * [taylor]: Taking taylor expansion of 0 in lambda1 2.708 * [taylor]: Taking taylor expansion of 0 in lambda2 2.708 * [taylor]: Taking taylor expansion of 0 in lambda1 2.708 * [taylor]: Taking taylor expansion of 0 in lambda2 2.709 * [approximate]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.709 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 2.709 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 2.710 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 2.710 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 2.711 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 2.711 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 2.712 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 2.712 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 2.713 * [taylor]: Taking taylor expansion of 0 in phi2 2.713 * [taylor]: Taking taylor expansion of 0 in lambda1 2.713 * [taylor]: Taking taylor expansion of 0 in lambda2 2.714 * [taylor]: Taking taylor expansion of 0 in lambda1 2.714 * [taylor]: Taking taylor expansion of 0 in lambda2 2.714 * [taylor]: Taking taylor expansion of 0 in lambda2 2.714 * [taylor]: Taking taylor expansion of 0 in phi2 2.714 * [taylor]: Taking taylor expansion of 0 in lambda1 2.714 * [taylor]: Taking taylor expansion of 0 in lambda2 2.714 * [taylor]: Taking taylor expansion of 0 in lambda1 2.714 * [taylor]: Taking taylor expansion of 0 in lambda2 2.715 * [approximate]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.715 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.715 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.716 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.716 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.717 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.717 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.718 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.718 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.719 * [taylor]: Taking taylor expansion of 0 in phi2 2.719 * [taylor]: Taking taylor expansion of 0 in lambda1 2.719 * [taylor]: Taking taylor expansion of 0 in lambda2 2.719 * [taylor]: Taking taylor expansion of 0 in lambda1 2.719 * [taylor]: Taking taylor expansion of 0 in lambda2 2.719 * [taylor]: Taking taylor expansion of 0 in lambda2 2.719 * [taylor]: Taking taylor expansion of 0 in phi2 2.720 * [taylor]: Taking taylor expansion of 0 in lambda1 2.720 * [taylor]: Taking taylor expansion of 0 in lambda2 2.720 * [taylor]: Taking taylor expansion of 0 in lambda1 2.720 * [taylor]: Taking taylor expansion of 0 in lambda2 2.720 * * * * [progress]: [ 2 / 4 ] generating series at (2) 2.721 * [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 2.721 * [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 2.721 * [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 2.721 * [taylor]: Taking taylor expansion of R in R 2.721 * [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 2.721 * [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 2.722 * [taylor]: Taking taylor expansion of R in lambda2 2.722 * [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 2.722 * [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 2.722 * [taylor]: Taking taylor expansion of R in lambda1 2.722 * [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 2.722 * [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 2.722 * [taylor]: Taking taylor expansion of R in phi2 2.722 * [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 2.722 * [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 2.723 * [taylor]: Taking taylor expansion of R in phi1 2.723 * [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 2.723 * [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 2.723 * [taylor]: Taking taylor expansion of R in phi1 2.724 * [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 2.724 * [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 2.724 * [taylor]: Taking taylor expansion of R in phi2 2.724 * [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 2.724 * [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 2.725 * [taylor]: Taking taylor expansion of R in lambda1 2.725 * [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 2.725 * [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 2.726 * [taylor]: Taking taylor expansion of R in lambda2 2.726 * [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 2.726 * [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 2.726 * [taylor]: Taking taylor expansion of R in R 2.727 * [taylor]: Taking taylor expansion of 0 in phi2 2.727 * [taylor]: Taking taylor expansion of 0 in lambda1 2.727 * [taylor]: Taking taylor expansion of 0 in lambda2 2.727 * [taylor]: Taking taylor expansion of 0 in R 2.728 * [taylor]: Taking taylor expansion of 0 in lambda1 2.728 * [taylor]: Taking taylor expansion of 0 in lambda2 2.728 * [taylor]: Taking taylor expansion of 0 in R 2.728 * [taylor]: Taking taylor expansion of 0 in lambda2 2.728 * [taylor]: Taking taylor expansion of 0 in R 2.728 * [taylor]: Taking taylor expansion of 0 in R 2.731 * [taylor]: Taking taylor expansion of 0 in phi2 2.731 * [taylor]: Taking taylor expansion of 0 in lambda1 2.731 * [taylor]: Taking taylor expansion of 0 in lambda2 2.731 * [taylor]: Taking taylor expansion of 0 in R 2.731 * [taylor]: Taking taylor expansion of 0 in lambda1 2.731 * [taylor]: Taking taylor expansion of 0 in lambda2 2.731 * [taylor]: Taking taylor expansion of 0 in R 2.732 * [taylor]: Taking taylor expansion of 0 in lambda1 2.732 * [taylor]: Taking taylor expansion of 0 in lambda2 2.732 * [taylor]: Taking taylor expansion of 0 in R 2.732 * [taylor]: Taking taylor expansion of 0 in lambda2 2.732 * [taylor]: Taking taylor expansion of 0 in R 2.732 * [taylor]: Taking taylor expansion of 0 in lambda2 2.732 * [taylor]: Taking taylor expansion of 0 in R 2.733 * [taylor]: Taking taylor expansion of 0 in lambda2 2.733 * [taylor]: Taking taylor expansion of 0 in R 2.734 * [approximate]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 2.734 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in R 2.734 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in R 2.735 * [taylor]: Taking taylor expansion of R in R 2.735 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda2 2.735 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 2.736 * [taylor]: Taking taylor expansion of R in lambda2 2.736 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda1 2.736 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 2.737 * [taylor]: Taking taylor expansion of R in lambda1 2.737 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi2 2.737 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 2.738 * [taylor]: Taking taylor expansion of R in phi2 2.738 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi1 2.738 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 2.739 * [taylor]: Taking taylor expansion of R in phi1 2.739 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi1 2.739 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 2.740 * [taylor]: Taking taylor expansion of R in phi1 2.740 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi2 2.740 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 2.741 * [taylor]: Taking taylor expansion of R in phi2 2.742 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda1 2.742 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 2.742 * [taylor]: Taking taylor expansion of R in lambda1 2.743 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda2 2.743 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 2.743 * [taylor]: Taking taylor expansion of R in lambda2 2.744 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in R 2.744 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in R 2.744 * [taylor]: Taking taylor expansion of R in R 2.746 * [taylor]: Taking taylor expansion of 0 in phi2 2.746 * [taylor]: Taking taylor expansion of 0 in lambda1 2.746 * [taylor]: Taking taylor expansion of 0 in lambda2 2.746 * [taylor]: Taking taylor expansion of 0 in R 2.747 * [taylor]: Taking taylor expansion of 0 in lambda1 2.747 * [taylor]: Taking taylor expansion of 0 in lambda2 2.747 * [taylor]: Taking taylor expansion of 0 in R 2.748 * [taylor]: Taking taylor expansion of 0 in lambda2 2.748 * [taylor]: Taking taylor expansion of 0 in R 2.748 * [taylor]: Taking taylor expansion of 0 in R 2.750 * [taylor]: Taking taylor expansion of 0 in phi2 2.750 * [taylor]: Taking taylor expansion of 0 in lambda1 2.750 * [taylor]: Taking taylor expansion of 0 in lambda2 2.750 * [taylor]: Taking taylor expansion of 0 in R 2.750 * [taylor]: Taking taylor expansion of 0 in lambda1 2.750 * [taylor]: Taking taylor expansion of 0 in lambda2 2.750 * [taylor]: Taking taylor expansion of 0 in R 2.751 * [taylor]: Taking taylor expansion of 0 in lambda1 2.751 * [taylor]: Taking taylor expansion of 0 in lambda2 2.751 * [taylor]: Taking taylor expansion of 0 in R 2.751 * [taylor]: Taking taylor expansion of 0 in lambda2 2.751 * [taylor]: Taking taylor expansion of 0 in R 2.751 * [taylor]: Taking taylor expansion of 0 in lambda2 2.751 * [taylor]: Taking taylor expansion of 0 in R 2.752 * [taylor]: Taking taylor expansion of 0 in lambda2 2.752 * [taylor]: Taking taylor expansion of 0 in R 2.752 * [taylor]: Taking taylor expansion of 0 in R 2.752 * [taylor]: Taking taylor expansion of 0 in R 2.752 * [taylor]: Taking taylor expansion of 0 in R 2.755 * [taylor]: Taking taylor expansion of 0 in R 2.759 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 2.759 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in R 2.759 * [taylor]: Taking taylor expansion of -1 in R 2.759 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in R 2.759 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in R 2.760 * [taylor]: Taking taylor expansion of R in R 2.760 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda2 2.760 * [taylor]: Taking taylor expansion of -1 in lambda2 2.760 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda2 2.760 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.761 * [taylor]: Taking taylor expansion of R in lambda2 2.761 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda1 2.761 * [taylor]: Taking taylor expansion of -1 in lambda1 2.761 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda1 2.761 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.762 * [taylor]: Taking taylor expansion of R in lambda1 2.762 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi2 2.762 * [taylor]: Taking taylor expansion of -1 in phi2 2.762 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi2 2.762 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.763 * [taylor]: Taking taylor expansion of R in phi2 2.763 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi1 2.763 * [taylor]: Taking taylor expansion of -1 in phi1 2.763 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi1 2.763 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.764 * [taylor]: Taking taylor expansion of R in phi1 2.764 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi1 2.764 * [taylor]: Taking taylor expansion of -1 in phi1 2.764 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi1 2.764 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.765 * [taylor]: Taking taylor expansion of R in phi1 2.766 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi2 2.766 * [taylor]: Taking taylor expansion of -1 in phi2 2.766 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi2 2.766 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.766 * [taylor]: Taking taylor expansion of R in phi2 2.767 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda1 2.767 * [taylor]: Taking taylor expansion of -1 in lambda1 2.767 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda1 2.767 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.768 * [taylor]: Taking taylor expansion of R in lambda1 2.769 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda2 2.769 * [taylor]: Taking taylor expansion of -1 in lambda2 2.769 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda2 2.769 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.770 * [taylor]: Taking taylor expansion of R in lambda2 2.771 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in R 2.771 * [taylor]: Taking taylor expansion of -1 in R 2.771 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in R 2.771 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in R 2.771 * [taylor]: Taking taylor expansion of R in R 2.774 * [taylor]: Taking taylor expansion of 0 in phi2 2.774 * [taylor]: Taking taylor expansion of 0 in lambda1 2.774 * [taylor]: Taking taylor expansion of 0 in lambda2 2.774 * [taylor]: Taking taylor expansion of 0 in R 2.776 * [taylor]: Taking taylor expansion of 0 in lambda1 2.776 * [taylor]: Taking taylor expansion of 0 in lambda2 2.776 * [taylor]: Taking taylor expansion of 0 in R 2.777 * [taylor]: Taking taylor expansion of 0 in lambda2 2.777 * [taylor]: Taking taylor expansion of 0 in R 2.779 * [taylor]: Taking taylor expansion of 0 in R 2.783 * [taylor]: Taking taylor expansion of 0 in phi2 2.783 * [taylor]: Taking taylor expansion of 0 in lambda1 2.783 * [taylor]: Taking taylor expansion of 0 in lambda2 2.783 * [taylor]: Taking taylor expansion of 0 in R 2.783 * [taylor]: Taking taylor expansion of 0 in lambda1 2.783 * [taylor]: Taking taylor expansion of 0 in lambda2 2.783 * [taylor]: Taking taylor expansion of 0 in R 2.785 * [taylor]: Taking taylor expansion of 0 in lambda1 2.785 * [taylor]: Taking taylor expansion of 0 in lambda2 2.785 * [taylor]: Taking taylor expansion of 0 in R 2.785 * [taylor]: Taking taylor expansion of 0 in lambda2 2.785 * [taylor]: Taking taylor expansion of 0 in R 2.785 * [taylor]: Taking taylor expansion of 0 in lambda2 2.785 * [taylor]: Taking taylor expansion of 0 in R 2.787 * [taylor]: Taking taylor expansion of 0 in lambda2 2.787 * [taylor]: Taking taylor expansion of 0 in R 2.787 * [taylor]: Taking taylor expansion of 0 in R 2.787 * [taylor]: Taking taylor expansion of 0 in R 2.787 * [taylor]: Taking taylor expansion of 0 in R 2.788 * [taylor]: Taking taylor expansion of 0 in R 2.792 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2) 2.792 * [approximate]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) in (phi1 phi2 lambda1 lambda2) around 0 2.792 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) in lambda2 2.792 * [taylor]: Taking taylor expansion of (cos phi1) in lambda2 2.792 * [taylor]: Taking taylor expansion of phi1 in lambda2 2.792 * [taylor]: Taking taylor expansion of (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) in lambda2 2.792 * [taylor]: Taking taylor expansion of (cos phi2) in lambda2 2.792 * [taylor]: Taking taylor expansion of phi2 in lambda2 2.792 * [taylor]: Taking taylor expansion of (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))) in lambda2 2.792 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda2 2.792 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda2 2.792 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.792 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 2.792 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.793 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda2 2.793 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 2.793 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.793 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 2.793 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 2.793 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.793 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) in lambda1 2.793 * [taylor]: Taking taylor expansion of (cos phi1) in lambda1 2.793 * [taylor]: Taking taylor expansion of phi1 in lambda1 2.793 * [taylor]: Taking taylor expansion of (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) in lambda1 2.793 * [taylor]: Taking taylor expansion of (cos phi2) in lambda1 2.793 * [taylor]: Taking taylor expansion of phi2 in lambda1 2.793 * [taylor]: Taking taylor expansion of (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))) in lambda1 2.793 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 2.793 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 2.793 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.793 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 2.793 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.793 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 2.793 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.793 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.793 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 2.793 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 2.793 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.794 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) in phi2 2.794 * [taylor]: Taking taylor expansion of (cos phi1) in phi2 2.794 * [taylor]: Taking taylor expansion of phi1 in phi2 2.794 * [taylor]: Taking taylor expansion of (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) in phi2 2.794 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 2.794 * [taylor]: Taking taylor expansion of phi2 in phi2 2.794 * [taylor]: Taking taylor expansion of (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))) in phi2 2.794 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi2 2.794 * [taylor]: Taking taylor expansion of (cos lambda1) in phi2 2.794 * [taylor]: Taking taylor expansion of lambda1 in phi2 2.794 * [taylor]: Taking taylor expansion of (cos lambda2) in phi2 2.794 * [taylor]: Taking taylor expansion of lambda2 in phi2 2.794 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in phi2 2.794 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 2.794 * [taylor]: Taking taylor expansion of lambda1 in phi2 2.794 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in phi2 2.794 * [taylor]: Taking taylor expansion of (- lambda2) in phi2 2.794 * [taylor]: Taking taylor expansion of lambda2 in phi2 2.794 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) in phi1 2.794 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 2.794 * [taylor]: Taking taylor expansion of phi1 in phi1 2.794 * [taylor]: Taking taylor expansion of (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) in phi1 2.794 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 2.794 * [taylor]: Taking taylor expansion of phi2 in phi1 2.794 * [taylor]: Taking taylor expansion of (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))) in phi1 2.794 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi1 2.794 * [taylor]: Taking taylor expansion of (cos lambda1) in phi1 2.794 * [taylor]: Taking taylor expansion of lambda1 in phi1 2.794 * [taylor]: Taking taylor expansion of (cos lambda2) in phi1 2.794 * [taylor]: Taking taylor expansion of lambda2 in phi1 2.794 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in phi1 2.794 * [taylor]: Taking taylor expansion of (sin lambda1) in phi1 2.794 * [taylor]: Taking taylor expansion of lambda1 in phi1 2.794 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in phi1 2.794 * [taylor]: Taking taylor expansion of (- lambda2) in phi1 2.794 * [taylor]: Taking taylor expansion of lambda2 in phi1 2.795 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) in phi1 2.795 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 2.795 * [taylor]: Taking taylor expansion of phi1 in phi1 2.795 * [taylor]: Taking taylor expansion of (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) in phi1 2.795 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 2.795 * [taylor]: Taking taylor expansion of phi2 in phi1 2.795 * [taylor]: Taking taylor expansion of (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))) in phi1 2.795 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi1 2.795 * [taylor]: Taking taylor expansion of (cos lambda1) in phi1 2.795 * [taylor]: Taking taylor expansion of lambda1 in phi1 2.795 * [taylor]: Taking taylor expansion of (cos lambda2) in phi1 2.795 * [taylor]: Taking taylor expansion of lambda2 in phi1 2.795 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in phi1 2.795 * [taylor]: Taking taylor expansion of (sin lambda1) in phi1 2.795 * [taylor]: Taking taylor expansion of lambda1 in phi1 2.795 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in phi1 2.795 * [taylor]: Taking taylor expansion of (- lambda2) in phi1 2.795 * [taylor]: Taking taylor expansion of lambda2 in phi1 2.797 * [taylor]: Taking taylor expansion of (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) in phi2 2.797 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 2.797 * [taylor]: Taking taylor expansion of phi2 in phi2 2.797 * [taylor]: Taking taylor expansion of (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))) in phi2 2.797 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi2 2.797 * [taylor]: Taking taylor expansion of (cos lambda1) in phi2 2.797 * [taylor]: Taking taylor expansion of lambda1 in phi2 2.797 * [taylor]: Taking taylor expansion of (cos lambda2) in phi2 2.797 * [taylor]: Taking taylor expansion of lambda2 in phi2 2.797 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in phi2 2.797 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 2.797 * [taylor]: Taking taylor expansion of lambda1 in phi2 2.797 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in phi2 2.797 * [taylor]: Taking taylor expansion of (- lambda2) in phi2 2.797 * [taylor]: Taking taylor expansion of lambda2 in phi2 2.798 * [taylor]: Taking taylor expansion of (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))) in lambda1 2.798 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 2.798 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 2.798 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.798 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 2.798 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.798 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 2.798 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.798 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.798 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 2.798 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 2.798 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.799 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 2.799 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.808 * [taylor]: Taking taylor expansion of 0 in phi2 2.808 * [taylor]: Taking taylor expansion of 0 in lambda1 2.808 * [taylor]: Taking taylor expansion of 0 in lambda2 2.816 * [taylor]: Taking taylor expansion of 0 in lambda1 2.816 * [taylor]: Taking taylor expansion of 0 in lambda2 2.821 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 2.821 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 2.821 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 2.821 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.835 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sin lambda1) (* (cos phi2) (sin (- lambda2))))) (* 1/2 (* (cos lambda1) (* (cos phi2) (cos lambda2))))) in phi2 2.835 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (* (cos phi2) (sin (- lambda2))))) in phi2 2.835 * [taylor]: Taking taylor expansion of 1/2 in phi2 2.835 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi2) (sin (- lambda2)))) in phi2 2.835 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 2.835 * [taylor]: Taking taylor expansion of lambda1 in phi2 2.835 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin (- lambda2))) in phi2 2.835 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 2.835 * [taylor]: Taking taylor expansion of phi2 in phi2 2.835 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in phi2 2.835 * [taylor]: Taking taylor expansion of (- lambda2) in phi2 2.835 * [taylor]: Taking taylor expansion of lambda2 in phi2 2.835 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos lambda1) (* (cos phi2) (cos lambda2)))) in phi2 2.835 * [taylor]: Taking taylor expansion of 1/2 in phi2 2.835 * [taylor]: Taking taylor expansion of (* (cos lambda1) (* (cos phi2) (cos lambda2))) in phi2 2.835 * [taylor]: Taking taylor expansion of (cos lambda1) in phi2 2.835 * [taylor]: Taking taylor expansion of lambda1 in phi2 2.835 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos lambda2)) in phi2 2.835 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 2.835 * [taylor]: Taking taylor expansion of phi2 in phi2 2.835 * [taylor]: Taking taylor expansion of (cos lambda2) in phi2 2.835 * [taylor]: Taking taylor expansion of lambda2 in phi2 2.837 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sin lambda1) (sin (- lambda2)))) (* 1/2 (* (cos lambda1) (cos lambda2)))) in lambda1 2.837 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (sin (- lambda2)))) in lambda1 2.837 * [taylor]: Taking taylor expansion of 1/2 in lambda1 2.837 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 2.837 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.837 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.837 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 2.837 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 2.837 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.837 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos lambda1) (cos lambda2))) in lambda1 2.837 * [taylor]: Taking taylor expansion of 1/2 in lambda1 2.837 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 2.837 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 2.837 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.837 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 2.837 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.838 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos lambda2))) in lambda2 2.838 * [taylor]: Taking taylor expansion of (* 1/2 (cos lambda2)) in lambda2 2.838 * [taylor]: Taking taylor expansion of 1/2 in lambda2 2.838 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 2.838 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.841 * [taylor]: Taking taylor expansion of 0 in lambda1 2.841 * [taylor]: Taking taylor expansion of 0 in lambda2 2.851 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sin lambda1) (sin (- lambda2)))) (* 1/2 (* (cos lambda1) (cos lambda2)))) in lambda1 2.852 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (sin (- lambda2)))) in lambda1 2.852 * [taylor]: Taking taylor expansion of 1/2 in lambda1 2.852 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 2.852 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.852 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.852 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 2.852 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 2.852 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.852 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos lambda1) (cos lambda2))) in lambda1 2.852 * [taylor]: Taking taylor expansion of 1/2 in lambda1 2.852 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 2.852 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 2.852 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.852 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 2.852 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.853 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos lambda2))) in lambda2 2.853 * [taylor]: Taking taylor expansion of (* 1/2 (cos lambda2)) in lambda2 2.853 * [taylor]: Taking taylor expansion of 1/2 in lambda2 2.853 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 2.853 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.854 * [approximate]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.854 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))))) in lambda2 2.854 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 2.854 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 2.854 * [taylor]: Taking taylor expansion of phi2 in lambda2 2.854 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))) in lambda2 2.854 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 2.854 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 2.854 * [taylor]: Taking taylor expansion of phi1 in lambda2 2.854 * [taylor]: Taking taylor expansion of (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))) in lambda2 2.854 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda2 2.854 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda2 2.854 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.854 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.855 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda2 2.855 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.855 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.855 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda2 2.855 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 2.855 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.855 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.855 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 2.855 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 2.855 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.855 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.855 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))))) in lambda1 2.855 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 2.855 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 2.856 * [taylor]: Taking taylor expansion of phi2 in lambda1 2.856 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))) in lambda1 2.856 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 2.856 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 2.856 * [taylor]: Taking taylor expansion of phi1 in lambda1 2.856 * [taylor]: Taking taylor expansion of (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))) in lambda1 2.856 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda1 2.856 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda1 2.856 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.856 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.856 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda1 2.856 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.856 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.856 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 2.856 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 2.856 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.856 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.857 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 2.857 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 2.857 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.857 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.857 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))))) in phi2 2.857 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 2.857 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.857 * [taylor]: Taking taylor expansion of phi2 in phi2 2.857 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))) in phi2 2.857 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 2.857 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.857 * [taylor]: Taking taylor expansion of phi1 in phi2 2.857 * [taylor]: Taking taylor expansion of (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))) in phi2 2.857 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi2 2.857 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi2 2.857 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 2.857 * [taylor]: Taking taylor expansion of lambda2 in phi2 2.857 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi2 2.857 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 2.857 * [taylor]: Taking taylor expansion of lambda1 in phi2 2.858 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in phi2 2.858 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi2 2.858 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 2.858 * [taylor]: Taking taylor expansion of lambda1 in phi2 2.858 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in phi2 2.858 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in phi2 2.858 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 2.858 * [taylor]: Taking taylor expansion of lambda2 in phi2 2.858 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))))) in phi1 2.858 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 2.858 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.858 * [taylor]: Taking taylor expansion of phi2 in phi1 2.858 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))) in phi1 2.858 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 2.858 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.858 * [taylor]: Taking taylor expansion of phi1 in phi1 2.858 * [taylor]: Taking taylor expansion of (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))) in phi1 2.858 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi1 2.858 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi1 2.858 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 2.858 * [taylor]: Taking taylor expansion of lambda2 in phi1 2.859 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi1 2.859 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 2.859 * [taylor]: Taking taylor expansion of lambda1 in phi1 2.859 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in phi1 2.859 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi1 2.859 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 2.859 * [taylor]: Taking taylor expansion of lambda1 in phi1 2.859 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in phi1 2.859 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in phi1 2.859 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 2.859 * [taylor]: Taking taylor expansion of lambda2 in phi1 2.859 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))))) in phi1 2.859 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 2.859 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.859 * [taylor]: Taking taylor expansion of phi2 in phi1 2.859 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))) in phi1 2.859 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 2.859 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.859 * [taylor]: Taking taylor expansion of phi1 in phi1 2.859 * [taylor]: Taking taylor expansion of (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))) in phi1 2.860 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi1 2.860 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi1 2.860 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 2.860 * [taylor]: Taking taylor expansion of lambda2 in phi1 2.860 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi1 2.860 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 2.860 * [taylor]: Taking taylor expansion of lambda1 in phi1 2.860 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in phi1 2.860 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi1 2.860 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 2.860 * [taylor]: Taking taylor expansion of lambda1 in phi1 2.860 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in phi1 2.860 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in phi1 2.860 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 2.860 * [taylor]: Taking taylor expansion of lambda2 in phi1 2.862 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))))) in phi2 2.862 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 2.862 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.862 * [taylor]: Taking taylor expansion of phi2 in phi2 2.863 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))) in phi2 2.863 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 2.863 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.863 * [taylor]: Taking taylor expansion of phi1 in phi2 2.863 * [taylor]: Taking taylor expansion of (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))) in phi2 2.863 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi2 2.863 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi2 2.863 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 2.863 * [taylor]: Taking taylor expansion of lambda2 in phi2 2.863 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi2 2.863 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 2.863 * [taylor]: Taking taylor expansion of lambda1 in phi2 2.863 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in phi2 2.863 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi2 2.863 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 2.863 * [taylor]: Taking taylor expansion of lambda1 in phi2 2.863 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in phi2 2.863 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in phi2 2.863 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 2.863 * [taylor]: Taking taylor expansion of lambda2 in phi2 2.865 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))))) in lambda1 2.865 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 2.865 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 2.865 * [taylor]: Taking taylor expansion of phi2 in lambda1 2.865 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))) in lambda1 2.865 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 2.865 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 2.865 * [taylor]: Taking taylor expansion of phi1 in lambda1 2.866 * [taylor]: Taking taylor expansion of (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))) in lambda1 2.866 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda1 2.866 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda1 2.866 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.866 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.866 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda1 2.866 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.866 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.866 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 2.866 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 2.866 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.866 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.866 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 2.866 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 2.866 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.866 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.869 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))))) in lambda2 2.869 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 2.869 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 2.869 * [taylor]: Taking taylor expansion of phi2 in lambda2 2.869 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))) in lambda2 2.869 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 2.869 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 2.869 * [taylor]: Taking taylor expansion of phi1 in lambda2 2.869 * [taylor]: Taking taylor expansion of (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))) in lambda2 2.869 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda2 2.869 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda2 2.869 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.869 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.869 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda2 2.869 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.869 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.869 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda2 2.869 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 2.869 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.869 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.869 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 2.870 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 2.870 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.870 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.882 * [taylor]: Taking taylor expansion of 0 in phi2 2.882 * [taylor]: Taking taylor expansion of 0 in lambda1 2.882 * [taylor]: Taking taylor expansion of 0 in lambda2 2.892 * [taylor]: Taking taylor expansion of 0 in lambda1 2.892 * [taylor]: Taking taylor expansion of 0 in lambda2 2.900 * [taylor]: Taking taylor expansion of 0 in lambda2 2.921 * [taylor]: Taking taylor expansion of 0 in phi2 2.921 * [taylor]: Taking taylor expansion of 0 in lambda1 2.921 * [taylor]: Taking taylor expansion of 0 in lambda2 2.921 * [taylor]: Taking taylor expansion of 0 in lambda1 2.921 * [taylor]: Taking taylor expansion of 0 in lambda2 2.922 * [approximate]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2)))) in (phi1 phi2 lambda1 lambda2) around 0 2.922 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2)))) in lambda2 2.922 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 2.922 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 2.922 * [taylor]: Taking taylor expansion of -1 in lambda2 2.922 * [taylor]: Taking taylor expansion of phi1 in lambda2 2.922 * [taylor]: Taking taylor expansion of (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2))) in lambda2 2.922 * [taylor]: Taking taylor expansion of (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) in lambda2 2.922 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda2 2.922 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda2 2.922 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.922 * [taylor]: Taking taylor expansion of -1 in lambda2 2.922 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.922 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda2 2.922 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 2.922 * [taylor]: Taking taylor expansion of -1 in lambda2 2.922 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.923 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 2.923 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 2.923 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.923 * [taylor]: Taking taylor expansion of -1 in lambda2 2.923 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.923 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 2.923 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.923 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.923 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 2.923 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 2.923 * [taylor]: Taking taylor expansion of -1 in lambda2 2.923 * [taylor]: Taking taylor expansion of phi2 in lambda2 2.923 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2)))) in lambda1 2.923 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 2.923 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 2.923 * [taylor]: Taking taylor expansion of -1 in lambda1 2.923 * [taylor]: Taking taylor expansion of phi1 in lambda1 2.923 * [taylor]: Taking taylor expansion of (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2))) in lambda1 2.923 * [taylor]: Taking taylor expansion of (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) in lambda1 2.923 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda1 2.923 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda1 2.923 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.923 * [taylor]: Taking taylor expansion of -1 in lambda1 2.923 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.924 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda1 2.924 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 2.924 * [taylor]: Taking taylor expansion of -1 in lambda1 2.924 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.924 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 2.924 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 2.924 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.924 * [taylor]: Taking taylor expansion of -1 in lambda1 2.924 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.924 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 2.924 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.924 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.924 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 2.924 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 2.924 * [taylor]: Taking taylor expansion of -1 in lambda1 2.924 * [taylor]: Taking taylor expansion of phi2 in lambda1 2.925 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2)))) in phi2 2.925 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 2.925 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.925 * [taylor]: Taking taylor expansion of -1 in phi2 2.925 * [taylor]: Taking taylor expansion of phi1 in phi2 2.925 * [taylor]: Taking taylor expansion of (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2))) in phi2 2.925 * [taylor]: Taking taylor expansion of (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) in phi2 2.925 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi2 2.925 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi2 2.925 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 2.925 * [taylor]: Taking taylor expansion of -1 in phi2 2.925 * [taylor]: Taking taylor expansion of lambda1 in phi2 2.925 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi2 2.925 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 2.925 * [taylor]: Taking taylor expansion of -1 in phi2 2.925 * [taylor]: Taking taylor expansion of lambda2 in phi2 2.925 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in phi2 2.925 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi2 2.925 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 2.925 * [taylor]: Taking taylor expansion of -1 in phi2 2.925 * [taylor]: Taking taylor expansion of lambda1 in phi2 2.925 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi2 2.925 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 2.925 * [taylor]: Taking taylor expansion of lambda2 in phi2 2.925 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 2.925 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.925 * [taylor]: Taking taylor expansion of -1 in phi2 2.925 * [taylor]: Taking taylor expansion of phi2 in phi2 2.926 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2)))) in phi1 2.926 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 2.926 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.926 * [taylor]: Taking taylor expansion of -1 in phi1 2.926 * [taylor]: Taking taylor expansion of phi1 in phi1 2.926 * [taylor]: Taking taylor expansion of (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2))) in phi1 2.926 * [taylor]: Taking taylor expansion of (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) in phi1 2.926 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi1 2.926 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi1 2.926 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 2.926 * [taylor]: Taking taylor expansion of -1 in phi1 2.926 * [taylor]: Taking taylor expansion of lambda1 in phi1 2.926 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi1 2.926 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 2.926 * [taylor]: Taking taylor expansion of -1 in phi1 2.926 * [taylor]: Taking taylor expansion of lambda2 in phi1 2.926 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in phi1 2.926 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi1 2.926 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 2.926 * [taylor]: Taking taylor expansion of -1 in phi1 2.926 * [taylor]: Taking taylor expansion of lambda1 in phi1 2.927 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi1 2.927 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 2.927 * [taylor]: Taking taylor expansion of lambda2 in phi1 2.927 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 2.927 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.927 * [taylor]: Taking taylor expansion of -1 in phi1 2.927 * [taylor]: Taking taylor expansion of phi2 in phi1 2.927 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2)))) in phi1 2.927 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 2.927 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.927 * [taylor]: Taking taylor expansion of -1 in phi1 2.927 * [taylor]: Taking taylor expansion of phi1 in phi1 2.927 * [taylor]: Taking taylor expansion of (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2))) in phi1 2.927 * [taylor]: Taking taylor expansion of (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) in phi1 2.927 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi1 2.927 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi1 2.927 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 2.927 * [taylor]: Taking taylor expansion of -1 in phi1 2.927 * [taylor]: Taking taylor expansion of lambda1 in phi1 2.928 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi1 2.928 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 2.928 * [taylor]: Taking taylor expansion of -1 in phi1 2.928 * [taylor]: Taking taylor expansion of lambda2 in phi1 2.928 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in phi1 2.928 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi1 2.928 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 2.928 * [taylor]: Taking taylor expansion of -1 in phi1 2.928 * [taylor]: Taking taylor expansion of lambda1 in phi1 2.930 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi1 2.930 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 2.930 * [taylor]: Taking taylor expansion of lambda2 in phi1 2.930 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 2.930 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.930 * [taylor]: Taking taylor expansion of -1 in phi1 2.930 * [taylor]: Taking taylor expansion of phi2 in phi1 2.933 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2)))) in phi2 2.933 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 2.933 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.933 * [taylor]: Taking taylor expansion of -1 in phi2 2.933 * [taylor]: Taking taylor expansion of phi1 in phi2 2.933 * [taylor]: Taking taylor expansion of (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2))) in phi2 2.933 * [taylor]: Taking taylor expansion of (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) in phi2 2.933 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi2 2.933 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi2 2.933 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 2.933 * [taylor]: Taking taylor expansion of -1 in phi2 2.933 * [taylor]: Taking taylor expansion of lambda1 in phi2 2.933 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi2 2.933 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 2.933 * [taylor]: Taking taylor expansion of -1 in phi2 2.933 * [taylor]: Taking taylor expansion of lambda2 in phi2 2.933 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in phi2 2.933 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi2 2.933 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 2.933 * [taylor]: Taking taylor expansion of -1 in phi2 2.933 * [taylor]: Taking taylor expansion of lambda1 in phi2 2.934 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi2 2.934 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 2.934 * [taylor]: Taking taylor expansion of lambda2 in phi2 2.934 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 2.934 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.934 * [taylor]: Taking taylor expansion of -1 in phi2 2.934 * [taylor]: Taking taylor expansion of phi2 in phi2 2.936 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2)))) in lambda1 2.936 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 2.936 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 2.936 * [taylor]: Taking taylor expansion of -1 in lambda1 2.936 * [taylor]: Taking taylor expansion of phi1 in lambda1 2.936 * [taylor]: Taking taylor expansion of (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2))) in lambda1 2.936 * [taylor]: Taking taylor expansion of (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) in lambda1 2.936 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda1 2.936 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda1 2.936 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.936 * [taylor]: Taking taylor expansion of -1 in lambda1 2.936 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.937 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda1 2.937 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 2.937 * [taylor]: Taking taylor expansion of -1 in lambda1 2.937 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.937 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 2.937 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 2.937 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.937 * [taylor]: Taking taylor expansion of -1 in lambda1 2.937 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.937 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 2.937 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.937 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.938 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 2.938 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 2.938 * [taylor]: Taking taylor expansion of -1 in lambda1 2.938 * [taylor]: Taking taylor expansion of phi2 in lambda1 2.940 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2)))) in lambda2 2.940 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 2.940 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 2.940 * [taylor]: Taking taylor expansion of -1 in lambda2 2.940 * [taylor]: Taking taylor expansion of phi1 in lambda2 2.940 * [taylor]: Taking taylor expansion of (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2))) in lambda2 2.940 * [taylor]: Taking taylor expansion of (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) in lambda2 2.940 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda2 2.940 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda2 2.940 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.940 * [taylor]: Taking taylor expansion of -1 in lambda2 2.940 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.940 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda2 2.940 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 2.940 * [taylor]: Taking taylor expansion of -1 in lambda2 2.940 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.940 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 2.940 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 2.940 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.940 * [taylor]: Taking taylor expansion of -1 in lambda2 2.940 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.940 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 2.940 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.940 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.941 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 2.941 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 2.941 * [taylor]: Taking taylor expansion of -1 in lambda2 2.941 * [taylor]: Taking taylor expansion of phi2 in lambda2 2.952 * [taylor]: Taking taylor expansion of 0 in phi2 2.952 * [taylor]: Taking taylor expansion of 0 in lambda1 2.952 * [taylor]: Taking taylor expansion of 0 in lambda2 2.962 * [taylor]: Taking taylor expansion of 0 in lambda1 2.962 * [taylor]: Taking taylor expansion of 0 in lambda2 2.969 * [taylor]: Taking taylor expansion of 0 in lambda2 2.990 * [taylor]: Taking taylor expansion of 0 in phi2 2.990 * [taylor]: Taking taylor expansion of 0 in lambda1 2.990 * [taylor]: Taking taylor expansion of 0 in lambda2 2.990 * [taylor]: Taking taylor expansion of 0 in lambda1 2.990 * [taylor]: Taking taylor expansion of 0 in lambda2 2.991 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 2.991 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 2.991 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 2.991 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 2.991 * [taylor]: Taking taylor expansion of phi1 in phi2 2.991 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.991 * [taylor]: Taking taylor expansion of phi2 in phi2 2.991 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 2.991 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 2.991 * [taylor]: Taking taylor expansion of phi1 in phi1 2.991 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 2.991 * [taylor]: Taking taylor expansion of phi2 in phi1 2.991 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 2.991 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 2.991 * [taylor]: Taking taylor expansion of phi1 in phi1 2.991 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 2.991 * [taylor]: Taking taylor expansion of phi2 in phi1 2.991 * [taylor]: Taking taylor expansion of 0 in phi2 2.993 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.993 * [taylor]: Taking taylor expansion of phi2 in phi2 2.996 * [taylor]: Taking taylor expansion of 0 in phi2 3.001 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 3.001 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 3.001 * [taylor]: Taking taylor expansion of 1/6 in phi2 3.001 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 3.001 * [taylor]: Taking taylor expansion of phi2 in phi2 3.007 * [taylor]: Taking taylor expansion of 0 in phi2 3.007 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 3.007 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 3.007 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 3.007 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 3.007 * [taylor]: Taking taylor expansion of phi1 in phi2 3.007 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 3.007 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 3.007 * [taylor]: Taking taylor expansion of phi2 in phi2 3.007 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 3.007 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 3.007 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 3.007 * [taylor]: Taking taylor expansion of phi1 in phi1 3.008 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 3.008 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 3.008 * [taylor]: Taking taylor expansion of phi2 in phi1 3.008 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 3.008 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 3.008 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 3.008 * [taylor]: Taking taylor expansion of phi1 in phi1 3.008 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 3.008 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 3.008 * [taylor]: Taking taylor expansion of phi2 in phi1 3.009 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 3.009 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 3.009 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 3.009 * [taylor]: Taking taylor expansion of phi1 in phi2 3.009 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 3.009 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 3.009 * [taylor]: Taking taylor expansion of phi2 in phi2 3.011 * [taylor]: Taking taylor expansion of 0 in phi2 3.018 * [taylor]: Taking taylor expansion of 0 in phi2 3.023 * [taylor]: Taking taylor expansion of 0 in phi2 3.024 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 3.024 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 3.024 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 3.024 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 3.024 * [taylor]: Taking taylor expansion of -1 in phi2 3.024 * [taylor]: Taking taylor expansion of phi1 in phi2 3.024 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 3.024 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 3.024 * [taylor]: Taking taylor expansion of -1 in phi2 3.024 * [taylor]: Taking taylor expansion of phi2 in phi2 3.024 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 3.024 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 3.024 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 3.024 * [taylor]: Taking taylor expansion of -1 in phi1 3.024 * [taylor]: Taking taylor expansion of phi1 in phi1 3.025 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 3.025 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 3.025 * [taylor]: Taking taylor expansion of -1 in phi1 3.025 * [taylor]: Taking taylor expansion of phi2 in phi1 3.025 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 3.025 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 3.025 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 3.025 * [taylor]: Taking taylor expansion of -1 in phi1 3.025 * [taylor]: Taking taylor expansion of phi1 in phi1 3.025 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 3.025 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 3.025 * [taylor]: Taking taylor expansion of -1 in phi1 3.025 * [taylor]: Taking taylor expansion of phi2 in phi1 3.025 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 3.025 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 3.026 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 3.026 * [taylor]: Taking taylor expansion of -1 in phi2 3.026 * [taylor]: Taking taylor expansion of phi1 in phi2 3.026 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 3.026 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 3.026 * [taylor]: Taking taylor expansion of -1 in phi2 3.026 * [taylor]: Taking taylor expansion of phi2 in phi2 3.028 * [taylor]: Taking taylor expansion of 0 in phi2 3.032 * [taylor]: Taking taylor expansion of 0 in phi2 3.037 * [taylor]: Taking taylor expansion of 0 in phi2 3.038 * * * [progress]: simplifying candidates 3.039 * [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) (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))) (- (cos (- lambda1 (- lambda2))) (cos (+ lambda1 (- lambda2)))))) (* 2 2) (* (+ (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 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 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))) (- (cos (- lambda1 (- lambda2))) (cos (+ lambda1 (- 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))))) (- (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)) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) (- 1 (+ (* 1/2 (pow phi1 2)) (* 1/2 (pow phi2 2)))) (* (cos phi1) (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) (* (cos phi1) (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (* -1 lambda2)))) (cos phi2))) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 3.046 * * [simplify]: iteration 0 : 195 enodes (cost 2211 ) 3.084 * * [simplify]: iteration 1 : 496 enodes (cost 2178 ) 3.200 * * [simplify]: iteration 2 : 1857 enodes (cost 1781 ) 3.715 * * [simplify]: iteration done : 5000 enodes (cost 1779 ) 3.716 * [simplify]: Simplified to: (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (log (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (log (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (pow (exp R) (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (pow (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) 3) (* (cbrt (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (cbrt (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))))) (cbrt (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (pow (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) 3) (sqrt (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (sqrt (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (sqrt R)) (* (* (cbrt R) (cbrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (* (sqrt R) (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) R) (* R (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)) (log (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))) (log (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))) (log (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))) (pow (exp (* (cos phi1) (cos phi2))) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (pow (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)) 3) (pow (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)) 3) (* (cbrt (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))) (cbrt (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))) (cbrt (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))) (pow (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)) 3) (sqrt (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))) (sqrt (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (cos (+ lambda1 lambda2)) (- (cos (- lambda1 lambda2)) (- (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2)))))) 4 (* (* 2 (+ (cos (+ lambda1 lambda2)) (- (cos (- lambda1 lambda2)) (- (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2)))))) (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2)))) 8 (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (- (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin (- lambda2))) 3))) (* (+ (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin (- lambda2)) (sin lambda1))) (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2)))) 2) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda1)) (* (sin lambda2) (sin lambda2))))) (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) 2) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))) (* (* (* (cos phi1) (cos phi2)) (cbrt (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (cbrt (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sqrt (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (* (+ (cos (+ lambda1 lambda2)) (- (cos (- lambda1 lambda2)) (- (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))))) (* (cos phi1) (cos phi2))) (* (* (cos phi1) (cos phi2)) (* 2 (+ (cos (+ lambda1 lambda2)) (- (cos (- lambda1 lambda2)) (- (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))))))) (* (* (cos phi1) (cos phi2)) (- (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin (- lambda2))) 3))) (* (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda1)) (* (sin lambda2) (sin lambda2)))) (* (cos phi1) (cos phi2))) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2)))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (- 1 (* 1/2 (+ (pow phi1 2) (pow phi2 2)))) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 3.716 * * * [progress]: adding candidates to table 4.134 * * [progress]: iteration 3 / 4 4.134 * * * [progress]: picking best candidate 4.239 * * * * [pick]: Picked # 4.239 * * * [progress]: localizing error 4.277 * * * [progress]: generating rewritten candidates 4.277 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 4.278 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 4.279 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 4.290 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 4.293 * * * [progress]: generating series expansions 4.293 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 4.294 * [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 4.294 * [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 4.294 * [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 4.294 * [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 4.295 * [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 4.295 * [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 4.296 * [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 4.296 * [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 4.296 * [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 4.297 * [taylor]: Taking taylor expansion of 0 in phi2 4.297 * [taylor]: Taking taylor expansion of 0 in lambda1 4.297 * [taylor]: Taking taylor expansion of 0 in lambda2 4.297 * [taylor]: Taking taylor expansion of 0 in lambda1 4.297 * [taylor]: Taking taylor expansion of 0 in lambda2 4.297 * [taylor]: Taking taylor expansion of 0 in lambda2 4.297 * [taylor]: Taking taylor expansion of 0 in phi2 4.297 * [taylor]: Taking taylor expansion of 0 in lambda1 4.297 * [taylor]: Taking taylor expansion of 0 in lambda2 4.297 * [taylor]: Taking taylor expansion of 0 in lambda1 4.297 * [taylor]: Taking taylor expansion of 0 in lambda2 4.298 * [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 4.298 * [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 4.299 * [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 4.299 * [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 4.300 * [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 4.300 * [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 4.301 * [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 4.301 * [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 4.302 * [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 4.303 * [taylor]: Taking taylor expansion of 0 in phi2 4.303 * [taylor]: Taking taylor expansion of 0 in lambda1 4.303 * [taylor]: Taking taylor expansion of 0 in lambda2 4.303 * [taylor]: Taking taylor expansion of 0 in lambda1 4.303 * [taylor]: Taking taylor expansion of 0 in lambda2 4.303 * [taylor]: Taking taylor expansion of 0 in lambda2 4.303 * [taylor]: Taking taylor expansion of 0 in phi2 4.303 * [taylor]: Taking taylor expansion of 0 in lambda1 4.303 * [taylor]: Taking taylor expansion of 0 in lambda2 4.303 * [taylor]: Taking taylor expansion of 0 in lambda1 4.303 * [taylor]: Taking taylor expansion of 0 in lambda2 4.304 * [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 4.304 * [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 4.305 * [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 4.306 * [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 4.306 * [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 4.307 * [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 4.307 * [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 4.308 * [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 4.308 * [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 4.309 * [taylor]: Taking taylor expansion of 0 in phi2 4.309 * [taylor]: Taking taylor expansion of 0 in lambda1 4.309 * [taylor]: Taking taylor expansion of 0 in lambda2 4.309 * [taylor]: Taking taylor expansion of 0 in lambda1 4.309 * [taylor]: Taking taylor expansion of 0 in lambda2 4.309 * [taylor]: Taking taylor expansion of 0 in lambda2 4.309 * [taylor]: Taking taylor expansion of 0 in phi2 4.309 * [taylor]: Taking taylor expansion of 0 in lambda1 4.309 * [taylor]: Taking taylor expansion of 0 in lambda2 4.309 * [taylor]: Taking taylor expansion of 0 in lambda1 4.309 * [taylor]: Taking taylor expansion of 0 in lambda2 4.310 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 4.311 * [approximate]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 4.311 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2 4.311 * [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 4.311 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1 4.311 * [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 4.312 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2 4.312 * [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 4.313 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1 4.313 * [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 4.314 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1 4.314 * [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 4.315 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2 4.315 * [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 4.315 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1 4.315 * [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 4.316 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2 4.316 * [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 4.319 * [taylor]: Taking taylor expansion of 0 in phi2 4.319 * [taylor]: Taking taylor expansion of 0 in lambda1 4.319 * [taylor]: Taking taylor expansion of 0 in lambda2 4.320 * [taylor]: Taking taylor expansion of 0 in lambda1 4.320 * [taylor]: Taking taylor expansion of 0 in lambda2 4.321 * [taylor]: Taking taylor expansion of 0 in lambda2 4.324 * [taylor]: Taking taylor expansion of 0 in phi2 4.324 * [taylor]: Taking taylor expansion of 0 in lambda1 4.324 * [taylor]: Taking taylor expansion of 0 in lambda2 4.324 * [taylor]: Taking taylor expansion of 0 in lambda1 4.324 * [taylor]: Taking taylor expansion of 0 in lambda2 4.325 * [approximate]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in (phi1 phi2 lambda1 lambda2) around 0 4.325 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2 4.325 * [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 4.326 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1 4.326 * [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 4.327 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2 4.327 * [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 4.328 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1 4.328 * [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 4.329 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1 4.329 * [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 4.330 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2 4.330 * [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 4.331 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1 4.331 * [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 4.332 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2 4.332 * [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 4.335 * [taylor]: Taking taylor expansion of 0 in phi2 4.335 * [taylor]: Taking taylor expansion of 0 in lambda1 4.335 * [taylor]: Taking taylor expansion of 0 in lambda2 4.336 * [taylor]: Taking taylor expansion of 0 in lambda1 4.336 * [taylor]: Taking taylor expansion of 0 in lambda2 4.337 * [taylor]: Taking taylor expansion of 0 in lambda2 4.341 * [taylor]: Taking taylor expansion of 0 in phi2 4.341 * [taylor]: Taking taylor expansion of 0 in lambda1 4.341 * [taylor]: Taking taylor expansion of 0 in lambda2 4.341 * [taylor]: Taking taylor expansion of 0 in lambda1 4.341 * [taylor]: Taking taylor expansion of 0 in lambda2 4.342 * [approximate]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 4.342 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2 4.342 * [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 4.343 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda1 4.343 * [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 4.344 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2 4.344 * [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 4.345 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi1 4.345 * [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 4.346 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi1 4.346 * [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 4.347 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2 4.347 * [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 4.348 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda1 4.348 * [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 4.349 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2 4.349 * [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 4.352 * [taylor]: Taking taylor expansion of 0 in phi2 4.352 * [taylor]: Taking taylor expansion of 0 in lambda1 4.352 * [taylor]: Taking taylor expansion of 0 in lambda2 4.353 * [taylor]: Taking taylor expansion of 0 in lambda1 4.353 * [taylor]: Taking taylor expansion of 0 in lambda2 4.354 * [taylor]: Taking taylor expansion of 0 in lambda2 4.358 * [taylor]: Taking taylor expansion of 0 in phi2 4.358 * [taylor]: Taking taylor expansion of 0 in lambda1 4.358 * [taylor]: Taking taylor expansion of 0 in lambda2 4.358 * [taylor]: Taking taylor expansion of 0 in lambda1 4.358 * [taylor]: Taking taylor expansion of 0 in lambda2 4.359 * * * * [progress]: [ 3 / 4 ] generating series at (2) 4.359 * [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 4.359 * [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 4.359 * [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 4.360 * [taylor]: Taking taylor expansion of R in R 4.360 * [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 4.360 * [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 4.360 * [taylor]: Taking taylor expansion of R in lambda2 4.360 * [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 4.360 * [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 4.360 * [taylor]: Taking taylor expansion of R in lambda1 4.360 * [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 4.360 * [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 4.361 * [taylor]: Taking taylor expansion of R in phi2 4.361 * [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 4.361 * [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 4.361 * [taylor]: Taking taylor expansion of R in phi1 4.361 * [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 4.361 * [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 4.362 * [taylor]: Taking taylor expansion of R in phi1 4.362 * [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 4.362 * [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 4.362 * [taylor]: Taking taylor expansion of R in phi2 4.363 * [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 4.363 * [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 4.363 * [taylor]: Taking taylor expansion of R in lambda1 4.364 * [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 4.364 * [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 4.364 * [taylor]: Taking taylor expansion of R in lambda2 4.364 * [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 4.364 * [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 4.365 * [taylor]: Taking taylor expansion of R in R 4.365 * [taylor]: Taking taylor expansion of 0 in phi2 4.366 * [taylor]: Taking taylor expansion of 0 in lambda1 4.366 * [taylor]: Taking taylor expansion of 0 in lambda2 4.366 * [taylor]: Taking taylor expansion of 0 in R 4.366 * [taylor]: Taking taylor expansion of 0 in lambda1 4.366 * [taylor]: Taking taylor expansion of 0 in lambda2 4.366 * [taylor]: Taking taylor expansion of 0 in R 4.366 * [taylor]: Taking taylor expansion of 0 in lambda2 4.367 * [taylor]: Taking taylor expansion of 0 in R 4.367 * [taylor]: Taking taylor expansion of 0 in R 4.372 * [taylor]: Taking taylor expansion of 0 in phi2 4.372 * [taylor]: Taking taylor expansion of 0 in lambda1 4.372 * [taylor]: Taking taylor expansion of 0 in lambda2 4.372 * [taylor]: Taking taylor expansion of 0 in R 4.372 * [taylor]: Taking taylor expansion of 0 in lambda1 4.372 * [taylor]: Taking taylor expansion of 0 in lambda2 4.372 * [taylor]: Taking taylor expansion of 0 in R 4.373 * [taylor]: Taking taylor expansion of 0 in lambda1 4.373 * [taylor]: Taking taylor expansion of 0 in lambda2 4.373 * [taylor]: Taking taylor expansion of 0 in R 4.373 * [taylor]: Taking taylor expansion of 0 in lambda2 4.373 * [taylor]: Taking taylor expansion of 0 in R 4.373 * [taylor]: Taking taylor expansion of 0 in lambda2 4.373 * [taylor]: Taking taylor expansion of 0 in R 4.374 * [taylor]: Taking taylor expansion of 0 in lambda2 4.374 * [taylor]: Taking taylor expansion of 0 in R 4.375 * [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 4.375 * [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 4.375 * [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 4.376 * [taylor]: Taking taylor expansion of R in R 4.376 * [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 4.376 * [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 4.377 * [taylor]: Taking taylor expansion of R in lambda2 4.377 * [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 4.377 * [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 4.378 * [taylor]: Taking taylor expansion of R in lambda1 4.378 * [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 4.378 * [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 4.379 * [taylor]: Taking taylor expansion of R in phi2 4.379 * [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 4.379 * [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 4.380 * [taylor]: Taking taylor expansion of R in phi1 4.380 * [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 4.380 * [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 4.381 * [taylor]: Taking taylor expansion of R in phi1 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)))))))) R) in phi2 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 phi2 4.382 * [taylor]: Taking taylor expansion of R 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)))))))) R) 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 lambda1 4.384 * [taylor]: Taking taylor expansion of R in lambda1 4.385 * [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 4.385 * [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 4.385 * [taylor]: Taking taylor expansion of R in lambda2 4.386 * [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 4.386 * [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 4.386 * [taylor]: Taking taylor expansion of R in R 4.388 * [taylor]: Taking taylor expansion of 0 in phi2 4.388 * [taylor]: Taking taylor expansion of 0 in lambda1 4.388 * [taylor]: Taking taylor expansion of 0 in lambda2 4.388 * [taylor]: Taking taylor expansion of 0 in R 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 R 4.390 * [taylor]: Taking taylor expansion of 0 in lambda2 4.390 * [taylor]: Taking taylor expansion of 0 in R 4.390 * [taylor]: Taking taylor expansion of 0 in R 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 R 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 R 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 R 4.393 * [taylor]: Taking taylor expansion of 0 in lambda2 4.393 * [taylor]: Taking taylor expansion of 0 in R 4.393 * [taylor]: Taking taylor expansion of 0 in lambda2 4.393 * [taylor]: Taking taylor expansion of 0 in R 4.394 * [taylor]: Taking taylor expansion of 0 in lambda2 4.394 * [taylor]: Taking taylor expansion of 0 in R 4.394 * [taylor]: Taking taylor expansion of 0 in R 4.394 * [taylor]: Taking taylor expansion of 0 in R 4.394 * [taylor]: Taking taylor expansion of 0 in R 4.395 * [taylor]: Taking taylor expansion of 0 in R 4.398 * [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 4.398 * [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 4.398 * [taylor]: Taking taylor expansion of -1 in R 4.398 * [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 4.398 * [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 4.399 * [taylor]: Taking taylor expansion of R in R 4.399 * [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 4.399 * [taylor]: Taking taylor expansion of -1 in lambda2 4.399 * [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 4.399 * [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 R in lambda2 4.400 * [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 4.400 * [taylor]: Taking taylor expansion of -1 in lambda1 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)))))) R) in lambda1 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 R in lambda1 4.401 * [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 4.401 * [taylor]: Taking taylor expansion of -1 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)))))) R) 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 phi2 4.402 * [taylor]: Taking taylor expansion of R in phi2 4.402 * [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 4.402 * [taylor]: Taking taylor expansion of -1 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)))))) R) 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 phi1 4.403 * [taylor]: Taking taylor expansion of R in phi1 4.403 * [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 4.404 * [taylor]: Taking taylor expansion of -1 in phi1 4.404 * [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 4.404 * [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 4.404 * [taylor]: Taking taylor expansion of R in phi1 4.405 * [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 4.405 * [taylor]: Taking taylor expansion of -1 in phi2 4.405 * [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 4.405 * [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 4.406 * [taylor]: Taking taylor expansion of R in phi2 4.407 * [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 4.407 * [taylor]: Taking taylor expansion of -1 in lambda1 4.407 * [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 4.407 * [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 4.407 * [taylor]: Taking taylor expansion of R in lambda1 4.408 * [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 4.408 * [taylor]: Taking taylor expansion of -1 in lambda2 4.408 * [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 4.408 * [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 4.409 * [taylor]: Taking taylor expansion of R in lambda2 4.410 * [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 4.410 * [taylor]: Taking taylor expansion of -1 in R 4.410 * [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 4.410 * [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 4.410 * [taylor]: Taking taylor expansion of R in R 4.414 * [taylor]: Taking taylor expansion of 0 in phi2 4.414 * [taylor]: Taking taylor expansion of 0 in lambda1 4.414 * [taylor]: Taking taylor expansion of 0 in lambda2 4.414 * [taylor]: Taking taylor expansion of 0 in R 4.415 * [taylor]: Taking taylor expansion of 0 in lambda1 4.415 * [taylor]: Taking taylor expansion of 0 in lambda2 4.415 * [taylor]: Taking taylor expansion of 0 in R 4.417 * [taylor]: Taking taylor expansion of 0 in lambda2 4.417 * [taylor]: Taking taylor expansion of 0 in R 4.418 * [taylor]: Taking taylor expansion of 0 in R 4.422 * [taylor]: Taking taylor expansion of 0 in phi2 4.422 * [taylor]: Taking taylor expansion of 0 in lambda1 4.422 * [taylor]: Taking taylor expansion of 0 in lambda2 4.422 * [taylor]: Taking taylor expansion of 0 in R 4.422 * [taylor]: Taking taylor expansion of 0 in lambda1 4.422 * [taylor]: Taking taylor expansion of 0 in lambda2 4.422 * [taylor]: Taking taylor expansion of 0 in R 4.424 * [taylor]: Taking taylor expansion of 0 in lambda1 4.424 * [taylor]: Taking taylor expansion of 0 in lambda2 4.424 * [taylor]: Taking taylor expansion of 0 in R 4.424 * [taylor]: Taking taylor expansion of 0 in lambda2 4.424 * [taylor]: Taking taylor expansion of 0 in R 4.424 * [taylor]: Taking taylor expansion of 0 in lambda2 4.424 * [taylor]: Taking taylor expansion of 0 in R 4.426 * [taylor]: Taking taylor expansion of 0 in lambda2 4.426 * [taylor]: Taking taylor expansion of 0 in R 4.426 * [taylor]: Taking taylor expansion of 0 in R 4.426 * [taylor]: Taking taylor expansion of 0 in R 4.426 * [taylor]: Taking taylor expansion of 0 in R 4.428 * [taylor]: Taking taylor expansion of 0 in R 4.432 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 4.432 * [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 4.432 * [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 lambda2 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 (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 (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 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 phi1 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 phi2 4.435 * [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 4.435 * [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 4.436 * [taylor]: Taking taylor expansion of 0 in phi2 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 lambda1 4.436 * [taylor]: Taking taylor expansion of 0 in lambda2 4.436 * [taylor]: Taking taylor expansion of 0 in lambda2 4.436 * [taylor]: Taking taylor expansion of 0 in phi2 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 lambda1 4.436 * [taylor]: Taking taylor expansion of 0 in lambda2 4.437 * [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 4.437 * [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 4.437 * [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 4.438 * [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 4.438 * [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 4.439 * [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 phi1 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 phi2 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 4.440 * [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 lambda2 4.441 * [taylor]: Taking taylor expansion of 0 in phi2 4.442 * [taylor]: Taking taylor expansion of 0 in lambda1 4.442 * [taylor]: Taking taylor expansion of 0 in lambda2 4.442 * [taylor]: Taking taylor expansion of 0 in lambda1 4.442 * [taylor]: Taking taylor expansion of 0 in lambda2 4.442 * [taylor]: Taking taylor expansion of 0 in lambda2 4.442 * [taylor]: Taking taylor expansion of 0 in phi2 4.442 * [taylor]: Taking taylor expansion of 0 in lambda1 4.442 * [taylor]: Taking taylor expansion of 0 in lambda2 4.442 * [taylor]: Taking taylor expansion of 0 in lambda1 4.442 * [taylor]: Taking taylor expansion of 0 in lambda2 4.443 * [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 4.443 * [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 4.443 * [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 4.444 * [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 4.444 * [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 4.445 * [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 4.445 * [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 4.446 * [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 4.446 * [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 4.448 * [taylor]: Taking taylor expansion of 0 in phi2 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 lambda1 4.448 * [taylor]: Taking taylor expansion of 0 in lambda2 4.448 * [taylor]: Taking taylor expansion of 0 in lambda2 4.448 * [taylor]: Taking taylor expansion of 0 in phi2 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 lambda1 4.448 * [taylor]: Taking taylor expansion of 0 in lambda2 4.448 * * * [progress]: simplifying candidates 4.450 * [simplify]: Simplifying using # : (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (log (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))))) (log (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (log 1) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (log (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (* (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))))) (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (* (* (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (sqrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (sqrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))) (log R)) (log (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) R)) (exp (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) R)) (* (* (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))))) (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))))) (* (* R R) R)) (* (cbrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) R)) (cbrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) R))) (cbrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) R)) (* (* (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) R) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) R)) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) R)) (sqrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) R)) (sqrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) R)) (* (exp (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))))) (sqrt R)) (* (exp (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))))) (sqrt R)) (* (sqrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))))) (sqrt R)) (* (sqrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))))) (sqrt R)) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (* (cbrt R) (cbrt R))) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) (sqrt R)) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1)))))) 1) (* (exp (log (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) (cos phi1))))))) R) (* (exp 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lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.457 * * [simplify]: iteration 0 : 99 enodes (cost 2419 ) 4.471 * * [simplify]: iteration 1 : 170 enodes (cost 2325 ) 4.496 * * [simplify]: iteration 2 : 374 enodes (cost 1985 )