9.455 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.257 * * * [progress]: [2/2] Setting up program. 0.261 * [progress]: [Phase 2 of 3] Improving. 0.261 * [simplify]: Simplifying using # : (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.261 * [simplify]: Sending expressions to egg_math: (* (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (cos (- h2 h3))))) h4) 0.264 * * [simplify]: iteration 0 : 26 enodes (cost 12 ) 0.265 * * [simplify]: iteration 1 : 34 enodes (cost 12 ) 0.266 * * [simplify]: iteration 2 : 36 enodes (cost 12 ) 0.268 * * [simplify]: iteration 3 : 36 enodes (cost 12 ) 0.268 * [simplify]: Simplified to: (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.268 * * [progress]: iteration 1 / 4 0.268 * * * [progress]: picking best candidate 0.272 * * * * [pick]: Picked # 0.272 * * * [progress]: localizing error 0.296 * * * [progress]: generating rewritten candidates 0.296 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 0.306 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.308 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.315 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 0.346 * * * [progress]: generating series expansions 0.346 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 0.346 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 0.346 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 0.346 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 0.346 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.347 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.347 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.347 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.347 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.347 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.347 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.347 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.347 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.347 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.348 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.348 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.348 * [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 0.353 * [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 0.356 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 0.356 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.356 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.356 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.356 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.356 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.356 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.356 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.357 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.357 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.357 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.357 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.357 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.357 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.357 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.357 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.357 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.357 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.357 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.358 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.358 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.358 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.358 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.358 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.358 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.359 * [taylor]: Taking taylor expansion of 0 in lambda2 0.359 * [taylor]: Taking taylor expansion of 0 in lambda2 0.359 * [taylor]: Taking taylor expansion of 0 in lambda2 0.359 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 0.359 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.359 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.359 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.359 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.359 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.359 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.360 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.360 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.360 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.360 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.360 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.360 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.360 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.361 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.361 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.361 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.361 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.361 * [taylor]: Taking taylor expansion of lambda1 in lambda1 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 0.362 * [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 0 in lambda2 0.362 * [taylor]: Taking taylor expansion of 0 in lambda2 0.362 * [taylor]: Taking taylor expansion of 0 in lambda2 0.362 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.363 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.363 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.363 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.363 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.364 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.364 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.364 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.364 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.364 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.365 * [taylor]: Taking taylor expansion of 0 in phi2 0.365 * [taylor]: Taking taylor expansion of 0 in lambda1 0.365 * [taylor]: Taking taylor expansion of 0 in lambda2 0.365 * [taylor]: Taking taylor expansion of 0 in lambda1 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 phi2 0.365 * [taylor]: Taking taylor expansion of 0 in lambda1 0.365 * [taylor]: Taking taylor expansion of 0 in lambda2 0.365 * [taylor]: Taking taylor expansion of 0 in lambda1 0.365 * [taylor]: Taking taylor expansion of 0 in lambda2 0.365 * [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 0.366 * [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 0.366 * [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 0.366 * [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 0.366 * [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 0.367 * [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 0.367 * [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 0.367 * [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 0.367 * [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 0.368 * [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 (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.369 * [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 0.369 * [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 0.369 * [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 0.370 * [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 0.370 * [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 0.370 * [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 0.371 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 0.371 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in 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 0.372 * [taylor]: Taking taylor expansion of 0 in lambda2 0.372 * [taylor]: Taking taylor expansion of 0 in lambda2 0.372 * [taylor]: Taking taylor expansion of 0 in phi2 0.372 * [taylor]: Taking taylor expansion of 0 in lambda1 0.372 * [taylor]: Taking taylor expansion of 0 in lambda2 0.372 * [taylor]: Taking taylor expansion of 0 in lambda1 0.372 * [taylor]: Taking taylor expansion of 0 in lambda2 0.372 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.372 * [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 0.372 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.372 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.373 * [taylor]: Taking taylor expansion of R in R 0.373 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.373 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.373 * [taylor]: Taking taylor expansion of R in lambda2 0.373 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.373 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.373 * [taylor]: Taking taylor expansion of R in lambda1 0.373 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.373 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.373 * [taylor]: Taking taylor expansion of R in phi2 0.373 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.373 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.373 * [taylor]: Taking taylor expansion of R in phi1 0.374 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.374 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.374 * [taylor]: Taking taylor expansion of R in phi1 0.374 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.374 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.374 * [taylor]: Taking taylor expansion of R in phi2 0.374 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.374 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.375 * [taylor]: Taking taylor expansion of R in lambda1 0.375 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.375 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.375 * [taylor]: Taking taylor expansion of R in lambda2 0.375 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.375 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.375 * [taylor]: Taking taylor expansion of R in R 0.376 * [taylor]: Taking taylor expansion of 0 in phi2 0.376 * [taylor]: Taking taylor expansion of 0 in lambda1 0.376 * [taylor]: Taking taylor expansion of 0 in lambda2 0.376 * [taylor]: Taking taylor expansion of 0 in R 0.376 * [taylor]: Taking taylor expansion of 0 in lambda1 0.376 * [taylor]: Taking taylor expansion of 0 in lambda2 0.376 * [taylor]: Taking taylor expansion of 0 in R 0.376 * [taylor]: Taking taylor expansion of 0 in lambda2 0.376 * [taylor]: Taking taylor expansion of 0 in R 0.377 * [taylor]: Taking taylor expansion of 0 in R 0.378 * [taylor]: Taking taylor expansion of 0 in phi2 0.378 * [taylor]: Taking taylor expansion of 0 in lambda1 0.378 * [taylor]: Taking taylor expansion of 0 in lambda2 0.378 * [taylor]: Taking taylor expansion of 0 in R 0.378 * [taylor]: Taking taylor expansion of 0 in lambda1 0.378 * [taylor]: Taking taylor expansion of 0 in lambda2 0.378 * [taylor]: Taking taylor expansion of 0 in R 0.379 * [taylor]: Taking taylor expansion of 0 in lambda1 0.379 * [taylor]: Taking taylor expansion of 0 in lambda2 0.379 * [taylor]: Taking taylor expansion of 0 in R 0.379 * [taylor]: Taking taylor expansion of 0 in lambda2 0.379 * [taylor]: Taking taylor expansion of 0 in R 0.379 * [taylor]: Taking taylor expansion of 0 in lambda2 0.379 * [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 * [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 0.380 * [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 0.380 * [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 0.381 * [taylor]: Taking taylor expansion of R in R 0.381 * [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 0.381 * [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 0.381 * [taylor]: Taking taylor expansion of R in lambda2 0.382 * [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 0.382 * [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 0.382 * [taylor]: Taking taylor expansion of R in lambda1 0.383 * [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 0.383 * [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 0.383 * [taylor]: Taking taylor expansion of R in phi2 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 phi1 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 phi1 0.384 * [taylor]: Taking taylor expansion of R in phi1 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 phi1 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 phi1 0.384 * [taylor]: Taking taylor expansion of R in phi1 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 phi2 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 phi2 0.385 * [taylor]: Taking taylor expansion of R in phi2 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 0.386 * [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 lambda2 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 lambda2 0.386 * [taylor]: Taking taylor expansion of R in lambda2 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 R 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 R 0.387 * [taylor]: Taking taylor expansion of R in R 0.388 * [taylor]: Taking taylor expansion of 0 in phi2 0.388 * [taylor]: Taking taylor expansion of 0 in lambda1 0.388 * [taylor]: Taking taylor expansion of 0 in lambda2 0.388 * [taylor]: Taking taylor expansion of 0 in R 0.389 * [taylor]: Taking taylor expansion of 0 in lambda1 0.389 * [taylor]: Taking taylor expansion of 0 in lambda2 0.389 * [taylor]: Taking taylor expansion of 0 in R 0.389 * [taylor]: Taking taylor expansion of 0 in lambda2 0.389 * [taylor]: Taking taylor expansion of 0 in R 0.390 * [taylor]: Taking taylor expansion of 0 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 lambda1 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 lambda2 0.392 * [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 lambda2 0.392 * [taylor]: Taking taylor expansion of 0 in R 0.392 * [taylor]: Taking taylor expansion of 0 in R 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 R 0.395 * [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 0.395 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in R 0.395 * [taylor]: Taking taylor expansion of -1 in R 0.395 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in R 0.395 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in R 0.395 * [taylor]: Taking taylor expansion of R in R 0.395 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda2 0.396 * [taylor]: Taking taylor expansion of -1 in lambda2 0.396 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda2 0.396 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 0.396 * [taylor]: Taking taylor expansion of R in lambda2 0.396 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda1 0.396 * [taylor]: Taking taylor expansion of -1 in lambda1 0.396 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda1 0.396 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 0.396 * [taylor]: Taking taylor expansion of R in lambda1 0.397 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi2 0.397 * [taylor]: Taking taylor expansion of -1 in phi2 0.397 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi2 0.397 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 0.397 * [taylor]: Taking taylor expansion of R in phi2 0.397 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi1 0.397 * [taylor]: Taking taylor expansion of -1 in phi1 0.397 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi1 0.397 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 0.398 * [taylor]: Taking taylor expansion of R in phi1 0.398 * [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 0.398 * [taylor]: Taking taylor expansion of -1 in phi1 0.398 * [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 0.398 * [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 0.398 * [taylor]: Taking taylor expansion of R in phi1 0.399 * [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 0.399 * [taylor]: Taking taylor expansion of -1 in phi2 0.399 * [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 0.399 * [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 0.399 * [taylor]: Taking taylor expansion of R in phi2 0.400 * [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 0.400 * [taylor]: Taking taylor expansion of -1 in lambda1 0.400 * [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 0.400 * [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 0.400 * [taylor]: Taking taylor expansion of R in lambda1 0.401 * [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 0.401 * [taylor]: Taking taylor expansion of -1 in lambda2 0.401 * [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 0.401 * [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 0.401 * [taylor]: Taking taylor expansion of R in lambda2 0.402 * [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 0.402 * [taylor]: Taking taylor expansion of -1 in R 0.402 * [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 0.402 * [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 0.402 * [taylor]: Taking taylor expansion of R in R 0.404 * [taylor]: Taking taylor expansion of 0 in phi2 0.404 * [taylor]: Taking taylor expansion of 0 in lambda1 0.404 * [taylor]: Taking taylor expansion of 0 in lambda2 0.404 * [taylor]: Taking taylor expansion of 0 in R 0.405 * [taylor]: Taking taylor expansion of 0 in lambda1 0.405 * [taylor]: Taking taylor expansion of 0 in lambda2 0.405 * [taylor]: Taking taylor expansion of 0 in R 0.406 * [taylor]: Taking taylor expansion of 0 in lambda2 0.406 * [taylor]: Taking taylor expansion of 0 in R 0.407 * [taylor]: Taking taylor expansion of 0 in R 0.412 * [taylor]: Taking taylor expansion of 0 in phi2 0.412 * [taylor]: Taking taylor expansion of 0 in lambda1 0.412 * [taylor]: Taking taylor expansion of 0 in lambda2 0.412 * [taylor]: Taking taylor expansion of 0 in R 0.412 * [taylor]: Taking taylor expansion of 0 in lambda1 0.412 * [taylor]: Taking taylor expansion of 0 in lambda2 0.412 * [taylor]: Taking taylor expansion of 0 in R 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 0.413 * [taylor]: Taking taylor expansion of 0 in lambda2 0.413 * [taylor]: Taking taylor expansion of 0 in R 0.413 * [taylor]: Taking taylor expansion of 0 in lambda2 0.413 * [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 0.415 * [taylor]: Taking taylor expansion of 0 in R 0.415 * [taylor]: Taking taylor expansion of 0 in R 0.415 * [taylor]: Taking taylor expansion of 0 in R 0.416 * [taylor]: Taking taylor expansion of 0 in R 0.419 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 0.419 * [approximate]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))) in (phi1 phi2 lambda1 lambda2) around 0 0.419 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))) in lambda2 0.419 * [taylor]: Taking taylor expansion of (cos phi1) in lambda2 0.419 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.419 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos (- lambda1 lambda2))) in lambda2 0.419 * [taylor]: Taking taylor expansion of (cos phi2) in lambda2 0.419 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.419 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 0.419 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 0.419 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.419 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.419 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))) in lambda1 0.419 * [taylor]: Taking taylor expansion of (cos phi1) in lambda1 0.419 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.419 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos (- lambda1 lambda2))) in lambda1 0.419 * [taylor]: Taking taylor expansion of (cos phi2) in lambda1 0.419 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.419 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.419 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.419 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.419 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.420 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))) in phi2 0.420 * [taylor]: Taking taylor expansion of (cos phi1) in phi2 0.420 * [taylor]: Taking taylor expansion of phi1 in phi2 0.420 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos (- lambda1 lambda2))) in phi2 0.420 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 0.420 * [taylor]: Taking taylor expansion of phi2 in phi2 0.420 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi2 0.420 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi2 0.420 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.420 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.420 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))) in phi1 0.420 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 0.420 * [taylor]: Taking taylor expansion of phi1 in phi1 0.420 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos (- lambda1 lambda2))) in phi1 0.420 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 0.420 * [taylor]: Taking taylor expansion of phi2 in phi1 0.420 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi1 0.420 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi1 0.420 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.420 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.420 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))) in phi1 0.420 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 0.420 * [taylor]: Taking taylor expansion of phi1 in phi1 0.420 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos (- lambda1 lambda2))) in phi1 0.420 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 0.420 * [taylor]: Taking taylor expansion of phi2 in phi1 0.420 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi1 0.420 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi1 0.420 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.420 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.421 * [taylor]: Taking taylor expansion of (* (cos (- lambda1 lambda2)) (cos phi2)) in phi2 0.421 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi2 0.421 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi2 0.421 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.421 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.421 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 0.421 * [taylor]: Taking taylor expansion of phi2 in phi2 0.422 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.422 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.422 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.422 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.422 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.422 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.422 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.427 * [taylor]: Taking taylor expansion of 0 in phi2 0.427 * [taylor]: Taking taylor expansion of 0 in lambda1 0.427 * [taylor]: Taking taylor expansion of 0 in lambda2 0.429 * [taylor]: Taking taylor expansion of 0 in lambda1 0.429 * [taylor]: Taking taylor expansion of 0 in lambda2 0.431 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 0.431 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 0.431 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.431 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.437 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (cos (- lambda1 lambda2)) (cos phi2)))) in phi2 0.437 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos (- lambda1 lambda2)) (cos phi2))) in phi2 0.437 * [taylor]: Taking taylor expansion of 1/2 in phi2 0.437 * [taylor]: Taking taylor expansion of (* (cos (- lambda1 lambda2)) (cos phi2)) in phi2 0.437 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi2 0.437 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi2 0.437 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.437 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.437 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 0.437 * [taylor]: Taking taylor expansion of phi2 in phi2 0.438 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda1 lambda2)))) in lambda1 0.438 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda1 lambda2))) in lambda1 0.438 * [taylor]: Taking taylor expansion of 1/2 in lambda1 0.438 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.438 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.438 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.438 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.438 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 0.438 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 0.438 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.438 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.438 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.438 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.439 * [taylor]: Taking taylor expansion of 0 in lambda1 0.439 * [taylor]: Taking taylor expansion of 0 in lambda2 0.443 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda1 lambda2)))) in lambda1 0.443 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda1 lambda2))) in lambda1 0.443 * [taylor]: Taking taylor expansion of 1/2 in lambda1 0.443 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.443 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.443 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.443 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.443 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 0.443 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 0.443 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.443 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.443 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.443 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.445 * [approximate]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in (phi1 phi2 lambda1 lambda2) around 0 0.445 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in lambda2 0.445 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.445 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.445 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.445 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.445 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.445 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.445 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in lambda2 0.445 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 0.445 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 0.445 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.446 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 0.446 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 0.446 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.446 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in lambda1 0.446 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.446 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.446 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.446 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.446 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.446 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.446 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in lambda1 0.446 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 0.446 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 0.446 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.446 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 0.446 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 0.447 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.447 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in phi2 0.447 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in phi2 0.447 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2 0.447 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 0.447 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.447 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 0.447 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.447 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in phi2 0.447 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 0.447 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.447 * [taylor]: Taking taylor expansion of phi2 in phi2 0.447 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 0.447 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.447 * [taylor]: Taking taylor expansion of phi1 in phi2 0.447 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in phi1 0.447 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in phi1 0.447 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1 0.447 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 0.447 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.447 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 0.448 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.448 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in phi1 0.448 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 0.448 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.448 * [taylor]: Taking taylor expansion of phi2 in phi1 0.448 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 0.448 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.448 * [taylor]: Taking taylor expansion of phi1 in phi1 0.448 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in phi1 0.448 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in phi1 0.448 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1 0.448 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 0.448 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.448 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 0.448 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.449 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in phi1 0.449 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 0.449 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.449 * [taylor]: Taking taylor expansion of phi2 in phi1 0.449 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 0.449 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.449 * [taylor]: Taking taylor expansion of phi1 in phi1 0.450 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) in phi2 0.450 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 0.450 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.450 * [taylor]: Taking taylor expansion of phi1 in phi2 0.450 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2)))) in phi2 0.450 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 0.450 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.450 * [taylor]: Taking taylor expansion of phi2 in phi2 0.450 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in phi2 0.450 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2 0.450 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 0.450 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.450 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 0.450 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.452 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in lambda1 0.452 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.452 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.452 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.452 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.452 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.452 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.452 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in lambda1 0.452 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 0.452 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 0.452 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.452 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 0.452 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 0.452 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.453 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) in lambda2 0.453 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 0.453 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 0.453 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.454 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2)))) in lambda2 0.454 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 0.454 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 0.454 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.454 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.454 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.454 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.454 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.454 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.454 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.460 * [taylor]: Taking taylor expansion of 0 in phi2 0.460 * [taylor]: Taking taylor expansion of 0 in lambda1 0.460 * [taylor]: Taking taylor expansion of 0 in lambda2 0.464 * [taylor]: Taking taylor expansion of 0 in lambda1 0.464 * [taylor]: Taking taylor expansion of 0 in lambda2 0.467 * [taylor]: Taking taylor expansion of 0 in lambda2 0.476 * [taylor]: Taking taylor expansion of 0 in phi2 0.476 * [taylor]: Taking taylor expansion of 0 in lambda1 0.476 * [taylor]: Taking taylor expansion of 0 in lambda2 0.476 * [taylor]: Taking taylor expansion of 0 in lambda1 0.476 * [taylor]: Taking taylor expansion of 0 in lambda2 0.476 * [approximate]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in (phi1 phi2 lambda1 lambda2) around 0 0.476 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda2 0.476 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 0.476 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 0.477 * [taylor]: Taking taylor expansion of -1 in lambda2 0.477 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.477 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda2 0.477 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 0.477 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 0.477 * [taylor]: Taking taylor expansion of -1 in lambda2 0.477 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.477 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.477 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.477 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.477 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.477 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.477 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.477 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda1 0.477 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 0.477 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 0.477 * [taylor]: Taking taylor expansion of -1 in lambda1 0.478 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.478 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda1 0.478 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 0.478 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 0.478 * [taylor]: Taking taylor expansion of -1 in lambda1 0.478 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.478 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.478 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.478 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.478 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.478 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.478 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.479 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi2 0.479 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 0.479 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.479 * [taylor]: Taking taylor expansion of -1 in phi2 0.479 * [taylor]: Taking taylor expansion of phi1 in phi2 0.479 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in phi2 0.479 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 0.479 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.479 * [taylor]: Taking taylor expansion of -1 in phi2 0.479 * [taylor]: Taking taylor expansion of phi2 in phi2 0.479 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in phi2 0.479 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi2 0.479 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 0.479 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.479 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 0.479 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.479 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi1 0.479 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 0.479 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.479 * [taylor]: Taking taylor expansion of -1 in phi1 0.480 * [taylor]: Taking taylor expansion of phi1 in phi1 0.480 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in phi1 0.480 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 0.480 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.480 * [taylor]: Taking taylor expansion of -1 in phi1 0.480 * [taylor]: Taking taylor expansion of phi2 in phi1 0.480 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in phi1 0.480 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi1 0.480 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 0.480 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.480 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 0.480 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.480 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi1 0.480 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 0.480 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.480 * [taylor]: Taking taylor expansion of -1 in phi1 0.480 * [taylor]: Taking taylor expansion of phi1 in phi1 0.481 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in phi1 0.481 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 0.481 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.481 * [taylor]: Taking taylor expansion of -1 in phi1 0.481 * [taylor]: Taking taylor expansion of phi2 in phi1 0.481 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in phi1 0.481 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi1 0.481 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 0.481 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.481 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 0.481 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.482 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi2 0.482 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 0.482 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.482 * [taylor]: Taking taylor expansion of -1 in phi2 0.482 * [taylor]: Taking taylor expansion of phi1 in phi2 0.482 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in phi2 0.482 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 0.482 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.482 * [taylor]: Taking taylor expansion of -1 in phi2 0.482 * [taylor]: Taking taylor expansion of phi2 in phi2 0.483 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in phi2 0.483 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi2 0.483 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 0.483 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.483 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 0.483 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.484 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda1 0.484 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 0.484 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 0.484 * [taylor]: Taking taylor expansion of -1 in lambda1 0.484 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.484 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda1 0.484 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 0.484 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 0.484 * [taylor]: Taking taylor expansion of -1 in lambda1 0.484 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.484 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.484 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.484 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.484 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.484 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.484 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.486 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda2 0.486 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 0.486 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 0.486 * [taylor]: Taking taylor expansion of -1 in lambda2 0.486 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.486 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda2 0.486 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 0.486 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 0.486 * [taylor]: Taking taylor expansion of -1 in lambda2 0.486 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.486 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.486 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.486 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.486 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.487 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.487 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.492 * [taylor]: Taking taylor expansion of 0 in phi2 0.492 * [taylor]: Taking taylor expansion of 0 in lambda1 0.492 * [taylor]: Taking taylor expansion of 0 in lambda2 0.496 * [taylor]: Taking taylor expansion of 0 in lambda1 0.496 * [taylor]: Taking taylor expansion of 0 in lambda2 0.499 * [taylor]: Taking taylor expansion of 0 in lambda2 0.510 * [taylor]: Taking taylor expansion of 0 in phi2 0.510 * [taylor]: Taking taylor expansion of 0 in lambda1 0.510 * [taylor]: Taking taylor expansion of 0 in lambda2 0.511 * [taylor]: Taking taylor expansion of 0 in lambda1 0.511 * [taylor]: Taking taylor expansion of 0 in lambda2 0.511 * * * [progress]: simplifying candidates 0.512 * [simplify]: Simplifying using # : (* (cos lambda1) (cos (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)) (log (cos (- lambda1 lambda2))) (exp (cos (- lambda1 lambda2))) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))) (+ (+ (log (cos phi1)) (log (cos phi2))) (log (cos (- lambda1 lambda2)))) (+ (log (* (cos phi1) (cos phi2))) (log (cos (- lambda1 lambda2)))) (log (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (exp (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (* (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2)))) (* (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2)))) (* (cbrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (cbrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (cbrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (* (* (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (sqrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (sqrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))) (* (* (cos phi1) (cos phi2)) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2))))) (* (* (cos phi1) (cos phi2)) (sqrt (cos (- lambda1 lambda2)))) (* (* (cos phi1) (cos phi2)) 1) (* (cos phi2) (cos (- lambda1 lambda2))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (cos (- lambda1 lambda2))) (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (- 1 (+ (* 1/2 (pow phi1 2)) (* 1/2 (pow phi2 2)))) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 0.512 * [simplify]: Sending expressions to egg_math: (* (cos h0) (cos (- h1))) (* (sin h0) (sin (- h1))) (* (cos h0) (cos (- h1))) (* (sin h0) (sin (- h1))) (* (cos h0) (cos h1)) (* (sin h0) (sin h1)) (log (cos (- h0 h1))) (exp (cos (- h0 h1))) (* (cbrt (cos (- h0 h1))) (cbrt (cos (- h0 h1)))) (cbrt (cos (- h0 h1))) (* (* (cos (- h0 h1)) (cos (- h0 h1))) (cos (- h0 h1))) (sqrt (cos (- h0 h1))) (sqrt (cos (- h0 h1))) (/ PI 2) (asin (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1))))) (log (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1)))))) (exp (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1)))))) (* (cbrt (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1)))))) (cbrt (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1))))))) (cbrt (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1)))))) (* (* (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1))))) (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1)))))) (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1)))))) (sqrt (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1)))))) (sqrt (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1)))))) (* (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1))))) h4) (+ (log (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1)))))) (log h4)) (log (* (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1))))) h4)) (exp (* (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1))))) h4)) (* (* (* (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1))))) (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1)))))) (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1)))))) (* (* h4 h4) h4)) (* (cbrt (* (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1))))) h4)) (cbrt (* (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1))))) h4))) (cbrt (* (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1))))) h4)) (* (* (* (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1))))) h4) (* (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1))))) h4)) (* (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1))))) h4)) (sqrt (* (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1))))) h4)) (sqrt (* (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1))))) h4)) (* (sqrt (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1)))))) (sqrt h4)) (* (sqrt (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1)))))) (sqrt h4)) (* (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1))))) (* (cbrt h4) (cbrt h4))) (* (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1))))) (sqrt h4)) (* (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1))))) 1) (* (cbrt (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1)))))) h4) (* (sqrt (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1)))))) h4) (* (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1))))) h4) (* (* (cos h2) (cos h3)) (cos (- h0 h1))) (* (* (cos h2) (cos h3)) (cos (- h0 h1))) (+ (+ (log (cos h2)) (log (cos h3))) (log (cos (- h0 h1)))) (+ (log (* (cos h2) (cos h3))) (log (cos (- h0 h1)))) (log (* (* (cos h2) (cos h3)) (cos (- h0 h1)))) (exp (* (* (cos h2) (cos h3)) (cos (- h0 h1)))) (* (* (* (* (cos h2) (cos h2)) (cos h2)) (* (* (cos h3) (cos h3)) (cos h3))) (* (* (cos (- h0 h1)) (cos (- h0 h1))) (cos (- h0 h1)))) (* (* (* (* (cos h2) (cos h3)) (* (cos h2) (cos h3))) (* (cos h2) (cos h3))) (* (* (cos (- h0 h1)) (cos (- h0 h1))) (cos (- h0 h1)))) (* (cbrt (* (* (cos h2) (cos h3)) (cos (- h0 h1)))) (cbrt (* (* (cos h2) (cos h3)) (cos (- h0 h1))))) (cbrt (* (* (cos h2) (cos h3)) (cos (- h0 h1)))) (* (* (* (* (cos h2) (cos h3)) (cos (- h0 h1))) (* (* (cos h2) (cos h3)) (cos (- h0 h1)))) (* (* (cos h2) (cos h3)) (cos (- h0 h1)))) (sqrt (* (* (cos h2) (cos h3)) (cos (- h0 h1)))) (sqrt (* (* (cos h2) (cos h3)) (cos (- h0 h1)))) (* (* (cos h2) (cos h3)) (* (cos h0) (cos h1))) (* (* (cos h2) (cos h3)) (* (sin h0) (sin h1))) (* (* (cos h0) (cos h1)) (* (cos h2) (cos h3))) (* (* (sin h0) (sin h1)) (* (cos h2) (cos h3))) (* (* (cos h2) (cos h3)) (* (cbrt (cos (- h0 h1))) (cbrt (cos (- h0 h1))))) (* (* (cos h2) (cos h3)) (sqrt (cos (- h0 h1)))) (* (* (cos h2) (cos h3)) 1) (* (cos h3) (cos (- h0 h1))) (* (+ (cos (+ h2 h3)) (cos (- h2 h3))) (cos (- h0 h1))) (- (+ 1 (* h1 h0)) (* 1/2 (pow h0 2))) (cos (- h0 h1)) (cos (- h0 h1)) (acos (+ (* (sin h2) (sin h3)) (* (cos h2) (* (cos (- h0 h1)) (cos h3))))) (acos (+ (* (sin h2) (sin h3)) (* (cos h2) (* (cos (- h0 h1)) (cos h3))))) (acos (+ (* (sin h2) (sin h3)) (* (cos h2) (* (cos (- h0 h1)) (cos h3))))) (* (acos (+ (* (sin h2) (sin h3)) (* (cos h2) (* (cos (- h0 h1)) (cos h3))))) h4) (* (acos (+ (* (sin h2) (sin h3)) (* (cos h2) (* (cos (- h0 h1)) (cos h3))))) h4) (* (acos (+ (* (sin h2) (sin h3)) (* (cos h2) (* (cos (- h0 h1)) (cos h3))))) h4) (- 1 (+ (* 1/2 (pow h2 2)) (* 1/2 (pow h3 2)))) (* (cos h2) (* (cos (- h0 h1)) (cos h3))) (* (cos h2) (* (cos (- h0 h1)) (cos h3))) 0.517 * * [simplify]: iteration 0 : 264 enodes (cost 773 ) 0.521 * * [simplify]: iteration 1 : 1022 enodes (cost 656 ) 0.541 * * [simplify]: iteration 2 : 4705 enodes (cost 656 ) 0.611 * * [simplify]: iteration 3 : 5002 enodes (cost 656 ) 0.614 * [simplify]: Simplified to: (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)) (log (cos (- lambda1 lambda2))) (exp (cos (- lambda1 lambda2))) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))) (pow (cos (- lambda1 lambda2)) 3) (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (log (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (log (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (log (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (exp (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (pow (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3) (pow (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3) (* (cbrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (cbrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (cbrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (pow (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3) (sqrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (sqrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2))))) (* (* (cos phi1) (cos phi2)) (sqrt (cos (- lambda1 lambda2)))) (* (cos phi1) (cos phi2)) (* (cos phi2) (cos (- lambda1 lambda2))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (cos (- lambda1 lambda2))) (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (- 1 (+ (* 1/2 (pow phi1 2)) (* 1/2 (pow phi2 2)))) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 0.615 * * * [progress]: adding candidates to table 0.839 * * [progress]: iteration 2 / 4 0.839 * * * [progress]: picking best candidate 0.874 * * * * [pick]: Picked # 0.874 * * * [progress]: localizing error 0.910 * * * [progress]: generating rewritten candidates 0.910 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.912 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.918 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2) 0.962 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1) 1.002 * * * [progress]: generating series expansions 1.002 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.003 * [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 1.003 * [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 1.004 * [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 1.004 * [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 1.004 * [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 1.005 * [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 1.005 * [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 1.005 * [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 1.006 * [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 1.007 * [taylor]: Taking taylor expansion of 0 in phi2 1.007 * [taylor]: Taking taylor expansion of 0 in lambda1 1.007 * [taylor]: Taking taylor expansion of 0 in lambda2 1.007 * [taylor]: Taking taylor expansion of 0 in lambda1 1.007 * [taylor]: Taking taylor expansion of 0 in lambda2 1.007 * [taylor]: Taking taylor expansion of 0 in lambda2 1.007 * [taylor]: Taking taylor expansion of 0 in phi2 1.007 * [taylor]: Taking taylor expansion of 0 in lambda1 1.007 * [taylor]: Taking taylor expansion of 0 in lambda2 1.007 * [taylor]: Taking taylor expansion of 0 in lambda1 1.007 * [taylor]: Taking taylor expansion of 0 in lambda2 1.008 * [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 1.008 * [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 1.008 * [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 1.009 * [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 1.009 * [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 1.010 * [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 1.010 * [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 1.011 * [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 1.011 * [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 1.012 * [taylor]: Taking taylor expansion of 0 in phi2 1.012 * [taylor]: Taking taylor expansion of 0 in lambda1 1.012 * [taylor]: Taking taylor expansion of 0 in lambda2 1.012 * [taylor]: Taking taylor expansion of 0 in lambda1 1.012 * [taylor]: Taking taylor expansion of 0 in lambda2 1.012 * [taylor]: Taking taylor expansion of 0 in lambda2 1.013 * [taylor]: Taking taylor expansion of 0 in phi2 1.013 * [taylor]: Taking taylor expansion of 0 in lambda1 1.013 * [taylor]: Taking taylor expansion of 0 in lambda2 1.013 * [taylor]: Taking taylor expansion of 0 in lambda1 1.013 * [taylor]: Taking taylor expansion of 0 in lambda2 1.016 * [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 1.016 * [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 1.016 * [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 1.017 * [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 1.017 * [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 1.018 * [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 1.018 * [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 1.019 * [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 1.019 * [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 1.020 * [taylor]: Taking taylor expansion of 0 in phi2 1.020 * [taylor]: Taking taylor expansion of 0 in lambda1 1.020 * [taylor]: Taking taylor expansion of 0 in lambda2 1.020 * [taylor]: Taking taylor expansion of 0 in lambda1 1.020 * [taylor]: Taking taylor expansion of 0 in lambda2 1.020 * [taylor]: Taking taylor expansion of 0 in lambda2 1.020 * [taylor]: Taking taylor expansion of 0 in phi2 1.020 * [taylor]: Taking taylor expansion of 0 in lambda1 1.020 * [taylor]: Taking taylor expansion of 0 in lambda2 1.020 * [taylor]: Taking taylor expansion of 0 in lambda1 1.020 * [taylor]: Taking taylor expansion of 0 in lambda2 1.021 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.022 * [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 1.022 * [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 1.022 * [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 1.022 * [taylor]: Taking taylor expansion of R in R 1.022 * [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 1.022 * [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 1.023 * [taylor]: Taking taylor expansion of R in lambda2 1.023 * [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 1.023 * [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 1.023 * [taylor]: Taking taylor expansion of R in lambda1 1.023 * [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 1.023 * [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 1.023 * [taylor]: Taking taylor expansion of R in phi2 1.023 * [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 1.023 * [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 1.024 * [taylor]: Taking taylor expansion of R in phi1 1.024 * [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 1.024 * [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 1.024 * [taylor]: Taking taylor expansion of R in phi1 1.025 * [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 1.025 * [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 1.025 * [taylor]: Taking taylor expansion of R in phi2 1.026 * [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 1.026 * [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 1.026 * [taylor]: Taking taylor expansion of R in lambda1 1.026 * [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 1.026 * [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 1.027 * [taylor]: Taking taylor expansion of R in lambda2 1.027 * [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 1.027 * [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 1.028 * [taylor]: Taking taylor expansion of R in R 1.028 * [taylor]: Taking taylor expansion of 0 in phi2 1.028 * [taylor]: Taking taylor expansion of 0 in lambda1 1.028 * [taylor]: Taking taylor expansion of 0 in lambda2 1.028 * [taylor]: Taking taylor expansion of 0 in R 1.029 * [taylor]: Taking taylor expansion of 0 in lambda1 1.029 * [taylor]: Taking taylor expansion of 0 in lambda2 1.029 * [taylor]: Taking taylor expansion of 0 in R 1.029 * [taylor]: Taking taylor expansion of 0 in lambda2 1.029 * [taylor]: Taking taylor expansion of 0 in R 1.030 * [taylor]: Taking taylor expansion of 0 in R 1.032 * [taylor]: Taking taylor expansion of 0 in phi2 1.032 * [taylor]: Taking taylor expansion of 0 in lambda1 1.032 * [taylor]: Taking taylor expansion of 0 in lambda2 1.032 * [taylor]: Taking taylor expansion of 0 in R 1.032 * [taylor]: Taking taylor expansion of 0 in lambda1 1.032 * [taylor]: Taking taylor expansion of 0 in lambda2 1.032 * [taylor]: Taking taylor expansion of 0 in R 1.033 * [taylor]: Taking taylor expansion of 0 in lambda1 1.033 * [taylor]: Taking taylor expansion of 0 in lambda2 1.033 * [taylor]: Taking taylor expansion of 0 in R 1.033 * [taylor]: Taking taylor expansion of 0 in lambda2 1.033 * [taylor]: Taking taylor expansion of 0 in R 1.033 * [taylor]: Taking taylor expansion of 0 in lambda2 1.033 * [taylor]: Taking taylor expansion of 0 in R 1.033 * [taylor]: Taking taylor expansion of 0 in lambda2 1.033 * [taylor]: Taking taylor expansion of 0 in R 1.035 * [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 1.035 * [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 1.035 * [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 1.035 * [taylor]: Taking taylor expansion of R in R 1.036 * [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 1.036 * [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 1.036 * [taylor]: Taking taylor expansion of R in lambda2 1.037 * [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 1.037 * [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 1.037 * [taylor]: Taking taylor expansion of R in lambda1 1.038 * [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 1.038 * [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 1.038 * [taylor]: Taking taylor expansion of R in phi2 1.039 * [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 1.039 * [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 1.039 * [taylor]: Taking taylor expansion of R in phi1 1.040 * [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 1.040 * [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 1.040 * [taylor]: Taking taylor expansion of R in phi1 1.041 * [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 1.041 * [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 1.042 * [taylor]: Taking taylor expansion of R in phi2 1.042 * [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 1.042 * [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 1.043 * [taylor]: Taking taylor expansion of R in lambda1 1.043 * [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 1.043 * [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 1.044 * [taylor]: Taking taylor expansion of R in lambda2 1.044 * [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 1.044 * [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 1.045 * [taylor]: Taking taylor expansion of R in R 1.046 * [taylor]: Taking taylor expansion of 0 in phi2 1.046 * [taylor]: Taking taylor expansion of 0 in lambda1 1.046 * [taylor]: Taking taylor expansion of 0 in lambda2 1.046 * [taylor]: Taking taylor expansion of 0 in R 1.047 * [taylor]: Taking taylor expansion of 0 in lambda1 1.047 * [taylor]: Taking taylor expansion of 0 in lambda2 1.047 * [taylor]: Taking taylor expansion of 0 in R 1.048 * [taylor]: Taking taylor expansion of 0 in lambda2 1.048 * [taylor]: Taking taylor expansion of 0 in R 1.048 * [taylor]: Taking taylor expansion of 0 in R 1.050 * [taylor]: Taking taylor expansion of 0 in phi2 1.050 * [taylor]: Taking taylor expansion of 0 in lambda1 1.050 * [taylor]: Taking taylor expansion of 0 in lambda2 1.050 * [taylor]: Taking taylor expansion of 0 in R 1.050 * [taylor]: Taking taylor expansion of 0 in lambda1 1.050 * [taylor]: Taking taylor expansion of 0 in lambda2 1.050 * [taylor]: Taking taylor expansion of 0 in R 1.051 * [taylor]: Taking taylor expansion of 0 in lambda1 1.051 * [taylor]: Taking taylor expansion of 0 in lambda2 1.051 * [taylor]: Taking taylor expansion of 0 in R 1.051 * [taylor]: Taking taylor expansion of 0 in lambda2 1.051 * [taylor]: Taking taylor expansion of 0 in R 1.051 * [taylor]: Taking taylor expansion of 0 in lambda2 1.051 * [taylor]: Taking taylor expansion of 0 in R 1.052 * [taylor]: Taking taylor expansion of 0 in lambda2 1.052 * [taylor]: Taking taylor expansion of 0 in R 1.052 * [taylor]: Taking taylor expansion of 0 in R 1.052 * [taylor]: Taking taylor expansion of 0 in R 1.052 * [taylor]: Taking taylor expansion of 0 in R 1.052 * [taylor]: Taking taylor expansion of 0 in R 1.055 * [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 1.055 * [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 1.056 * [taylor]: Taking taylor expansion of -1 in R 1.056 * [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 1.056 * [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 1.056 * [taylor]: Taking taylor expansion of R in R 1.057 * [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 1.057 * [taylor]: Taking taylor expansion of -1 in lambda2 1.057 * [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 1.057 * [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 1.057 * [taylor]: Taking taylor expansion of R in lambda2 1.058 * [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 1.058 * [taylor]: Taking taylor expansion of -1 in lambda1 1.058 * [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 1.058 * [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 1.058 * [taylor]: Taking taylor expansion of R in lambda1 1.059 * [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 1.059 * [taylor]: Taking taylor expansion of -1 in phi2 1.059 * [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 1.059 * [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 1.059 * [taylor]: Taking taylor expansion of R in phi2 1.060 * [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 1.060 * [taylor]: Taking taylor expansion of -1 in phi1 1.060 * [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 1.060 * [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 1.060 * [taylor]: Taking taylor expansion of R in phi1 1.061 * [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 1.061 * [taylor]: Taking taylor expansion of -1 in phi1 1.061 * [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 1.061 * [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 1.061 * [taylor]: Taking taylor expansion of R in phi1 1.062 * [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 1.062 * [taylor]: Taking taylor expansion of -1 in phi2 1.063 * [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 1.063 * [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 1.063 * [taylor]: Taking taylor expansion of R in phi2 1.064 * [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 1.064 * [taylor]: Taking taylor expansion of -1 in lambda1 1.064 * [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 1.064 * [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 1.065 * [taylor]: Taking taylor expansion of R in lambda1 1.066 * [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 1.066 * [taylor]: Taking taylor expansion of -1 in lambda2 1.066 * [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 1.066 * [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 1.066 * [taylor]: Taking taylor expansion of R in lambda2 1.067 * [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 1.067 * [taylor]: Taking taylor expansion of -1 in R 1.067 * [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 1.067 * [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 1.068 * [taylor]: Taking taylor expansion of R in R 1.071 * [taylor]: Taking taylor expansion of 0 in phi2 1.071 * [taylor]: Taking taylor expansion of 0 in lambda1 1.071 * [taylor]: Taking taylor expansion of 0 in lambda2 1.071 * [taylor]: Taking taylor expansion of 0 in R 1.072 * [taylor]: Taking taylor expansion of 0 in lambda1 1.072 * [taylor]: Taking taylor expansion of 0 in lambda2 1.072 * [taylor]: Taking taylor expansion of 0 in R 1.074 * [taylor]: Taking taylor expansion of 0 in lambda2 1.074 * [taylor]: Taking taylor expansion of 0 in R 1.076 * [taylor]: Taking taylor expansion of 0 in R 1.079 * [taylor]: Taking taylor expansion of 0 in phi2 1.079 * [taylor]: Taking taylor expansion of 0 in lambda1 1.079 * [taylor]: Taking taylor expansion of 0 in lambda2 1.079 * [taylor]: Taking taylor expansion of 0 in R 1.079 * [taylor]: Taking taylor expansion of 0 in lambda1 1.079 * [taylor]: Taking taylor expansion of 0 in lambda2 1.079 * [taylor]: Taking taylor expansion of 0 in R 1.081 * [taylor]: Taking taylor expansion of 0 in lambda1 1.081 * [taylor]: Taking taylor expansion of 0 in lambda2 1.081 * [taylor]: Taking taylor expansion of 0 in R 1.081 * [taylor]: Taking taylor expansion of 0 in lambda2 1.081 * [taylor]: Taking taylor expansion of 0 in R 1.081 * [taylor]: Taking taylor expansion of 0 in lambda2 1.081 * [taylor]: Taking taylor expansion of 0 in R 1.083 * [taylor]: Taking taylor expansion of 0 in lambda2 1.083 * [taylor]: Taking taylor expansion of 0 in R 1.083 * [taylor]: Taking taylor expansion of 0 in R 1.083 * [taylor]: Taking taylor expansion of 0 in R 1.083 * [taylor]: Taking taylor expansion of 0 in R 1.084 * [taylor]: Taking taylor expansion of 0 in R 1.088 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2) 1.088 * [approximate]: Taking taylor expansion of (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) in (phi1 phi2 lambda1 lambda2) around 0 1.088 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) in lambda2 1.088 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 1.088 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.088 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (sin lambda2))) in lambda2 1.088 * [taylor]: Taking taylor expansion of (cos phi1) in lambda2 1.088 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.088 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in lambda2 1.088 * [taylor]: Taking taylor expansion of (cos phi2) in lambda2 1.088 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.088 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.088 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.088 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) in lambda1 1.088 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.088 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.088 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (sin lambda2))) in lambda1 1.088 * [taylor]: Taking taylor expansion of (cos phi1) in lambda1 1.088 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.088 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in lambda1 1.088 * [taylor]: Taking taylor expansion of (cos phi2) in lambda1 1.088 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.088 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.089 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.089 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) in phi2 1.089 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 1.089 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.089 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (sin lambda2))) in phi2 1.089 * [taylor]: Taking taylor expansion of (cos phi1) in phi2 1.089 * [taylor]: Taking taylor expansion of phi1 in phi2 1.089 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in phi2 1.089 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 1.089 * [taylor]: Taking taylor expansion of phi2 in phi2 1.089 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 1.089 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.089 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) in phi1 1.089 * [taylor]: Taking taylor expansion of (sin lambda1) in phi1 1.089 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.089 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (sin lambda2))) in phi1 1.089 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 1.089 * [taylor]: Taking taylor expansion of phi1 in phi1 1.089 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in phi1 1.089 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 1.089 * [taylor]: Taking taylor expansion of phi2 in phi1 1.089 * [taylor]: Taking taylor expansion of (sin lambda2) in phi1 1.089 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.089 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) in phi1 1.089 * [taylor]: Taking taylor expansion of (sin lambda1) in phi1 1.089 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.089 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (sin lambda2))) in phi1 1.089 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 1.089 * [taylor]: Taking taylor expansion of phi1 in phi1 1.089 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in phi1 1.089 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 1.089 * [taylor]: Taking taylor expansion of phi2 in phi1 1.089 * [taylor]: Taking taylor expansion of (sin lambda2) in phi1 1.089 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.090 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi2) (sin lambda2))) in phi2 1.090 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 1.090 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.090 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in phi2 1.090 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 1.090 * [taylor]: Taking taylor expansion of phi2 in phi2 1.090 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 1.091 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.091 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.091 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.091 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.091 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.091 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.091 * [taylor]: Taking taylor expansion of 0 in lambda2 1.098 * [taylor]: Taking taylor expansion of 0 in phi2 1.098 * [taylor]: Taking taylor expansion of 0 in lambda1 1.098 * [taylor]: Taking taylor expansion of 0 in lambda2 1.101 * [taylor]: Taking taylor expansion of 0 in lambda1 1.101 * [taylor]: Taking taylor expansion of 0 in lambda2 1.103 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.103 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.110 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sin lambda1) (* (cos phi2) (sin lambda2))))) in phi2 1.110 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (* (cos phi2) (sin lambda2)))) in phi2 1.110 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.110 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi2) (sin lambda2))) in phi2 1.110 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 1.110 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.110 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in phi2 1.110 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 1.110 * [taylor]: Taking taylor expansion of phi2 in phi2 1.110 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 1.110 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.110 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sin lambda1) (sin lambda2)))) in lambda1 1.110 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (sin lambda2))) in lambda1 1.110 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.110 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.110 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.111 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.111 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.111 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.111 * [taylor]: Taking taylor expansion of 0 in lambda2 1.111 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) in (phi1 phi2 lambda1 lambda2) around 0 1.111 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) in lambda2 1.111 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.111 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.111 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.112 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in lambda2 1.112 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.112 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.112 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.112 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in lambda2 1.112 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 1.112 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.112 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.112 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 1.112 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.112 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.112 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) in lambda1 1.112 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.112 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.112 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.112 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in lambda1 1.112 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.112 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.112 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.113 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in lambda1 1.113 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 1.113 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.113 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.113 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 1.113 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.113 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.113 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) in phi2 1.113 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi2 1.113 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.113 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.113 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in phi2 1.113 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi2 1.113 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.113 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.113 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in phi2 1.113 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 1.113 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.113 * [taylor]: Taking taylor expansion of phi2 in phi2 1.113 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 1.113 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.113 * [taylor]: Taking taylor expansion of phi1 in phi2 1.114 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) in phi1 1.114 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi1 1.114 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.114 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.114 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in phi1 1.114 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi1 1.114 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.114 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.114 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in phi1 1.114 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 1.114 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.114 * [taylor]: Taking taylor expansion of phi2 in phi1 1.114 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 1.114 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.114 * [taylor]: Taking taylor expansion of phi1 in phi1 1.114 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) in phi1 1.114 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi1 1.114 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.114 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.114 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in phi1 1.114 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi1 1.114 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.114 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.115 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in phi1 1.115 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 1.115 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.115 * [taylor]: Taking taylor expansion of phi2 in phi1 1.115 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 1.115 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.115 * [taylor]: Taking taylor expansion of phi1 in phi1 1.116 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) in phi2 1.116 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi2 1.116 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.116 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.116 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1)))) in phi2 1.116 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 1.116 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.116 * [taylor]: Taking taylor expansion of phi2 in phi2 1.116 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))) in phi2 1.116 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi2 1.116 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.116 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.116 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 1.116 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.116 * [taylor]: Taking taylor expansion of phi1 in phi2 1.117 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) in lambda1 1.117 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.117 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.117 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.118 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in lambda1 1.118 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.118 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.118 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.118 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in lambda1 1.118 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 1.118 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.118 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.118 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 1.118 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.118 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.119 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) in lambda2 1.119 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.119 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.119 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.119 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1)))) in lambda2 1.119 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 1.119 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.119 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.119 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))) in lambda2 1.119 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.119 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.119 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.120 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 1.120 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.120 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.126 * [taylor]: Taking taylor expansion of 0 in phi2 1.126 * [taylor]: Taking taylor expansion of 0 in lambda1 1.126 * [taylor]: Taking taylor expansion of 0 in lambda2 1.131 * [taylor]: Taking taylor expansion of 0 in lambda1 1.131 * [taylor]: Taking taylor expansion of 0 in lambda2 1.136 * [taylor]: Taking taylor expansion of 0 in lambda2 1.147 * [taylor]: Taking taylor expansion of 0 in phi2 1.147 * [taylor]: Taking taylor expansion of 0 in lambda1 1.148 * [taylor]: Taking taylor expansion of 0 in lambda2 1.148 * [taylor]: Taking taylor expansion of 0 in lambda1 1.148 * [taylor]: Taking taylor expansion of 0 in lambda2 1.148 * [approximate]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in (phi1 phi2 lambda1 lambda2) around 0 1.148 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in lambda2 1.148 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 1.148 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 1.148 * [taylor]: Taking taylor expansion of -1 in lambda2 1.148 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.148 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in lambda2 1.148 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.148 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.148 * [taylor]: Taking taylor expansion of -1 in lambda2 1.148 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.148 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in lambda2 1.148 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 1.148 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 1.148 * [taylor]: Taking taylor expansion of -1 in lambda2 1.148 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.149 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.149 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.149 * [taylor]: Taking taylor expansion of -1 in lambda2 1.149 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.149 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in lambda1 1.149 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 1.149 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 1.149 * [taylor]: Taking taylor expansion of -1 in lambda1 1.149 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.149 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in lambda1 1.149 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.149 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.149 * [taylor]: Taking taylor expansion of -1 in lambda1 1.149 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.149 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in lambda1 1.149 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 1.149 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 1.149 * [taylor]: Taking taylor expansion of -1 in lambda1 1.150 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.150 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.150 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.150 * [taylor]: Taking taylor expansion of -1 in lambda1 1.150 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.150 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in phi2 1.150 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 1.150 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.150 * [taylor]: Taking taylor expansion of -1 in phi2 1.150 * [taylor]: Taking taylor expansion of phi1 in phi2 1.150 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in phi2 1.150 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi2 1.150 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 1.150 * [taylor]: Taking taylor expansion of -1 in phi2 1.150 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.150 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in phi2 1.150 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 1.150 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.150 * [taylor]: Taking taylor expansion of -1 in phi2 1.150 * [taylor]: Taking taylor expansion of phi2 in phi2 1.150 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi2 1.150 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 1.150 * [taylor]: Taking taylor expansion of -1 in phi2 1.150 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.151 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in phi1 1.151 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 1.151 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.151 * [taylor]: Taking taylor expansion of -1 in phi1 1.151 * [taylor]: Taking taylor expansion of phi1 in phi1 1.151 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in phi1 1.151 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi1 1.151 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 1.151 * [taylor]: Taking taylor expansion of -1 in phi1 1.151 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.151 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in phi1 1.151 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 1.151 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.151 * [taylor]: Taking taylor expansion of -1 in phi1 1.151 * [taylor]: Taking taylor expansion of phi2 in phi1 1.151 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi1 1.151 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 1.151 * [taylor]: Taking taylor expansion of -1 in phi1 1.151 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.151 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in phi1 1.151 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 1.151 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.151 * [taylor]: Taking taylor expansion of -1 in phi1 1.151 * [taylor]: Taking taylor expansion of phi1 in phi1 1.152 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in phi1 1.152 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi1 1.152 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 1.152 * [taylor]: Taking taylor expansion of -1 in phi1 1.152 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.152 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in phi1 1.152 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 1.152 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.152 * [taylor]: Taking taylor expansion of -1 in phi1 1.152 * [taylor]: Taking taylor expansion of phi2 in phi1 1.152 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi1 1.152 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 1.152 * [taylor]: Taking taylor expansion of -1 in phi1 1.152 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.153 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in phi2 1.153 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 1.153 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.153 * [taylor]: Taking taylor expansion of -1 in phi2 1.153 * [taylor]: Taking taylor expansion of phi1 in phi2 1.153 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in phi2 1.153 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi2 1.153 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 1.153 * [taylor]: Taking taylor expansion of -1 in phi2 1.153 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.153 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in phi2 1.153 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 1.153 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.153 * [taylor]: Taking taylor expansion of -1 in phi2 1.153 * [taylor]: Taking taylor expansion of phi2 in phi2 1.154 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi2 1.154 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 1.154 * [taylor]: Taking taylor expansion of -1 in phi2 1.154 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.155 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in lambda1 1.155 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 1.155 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 1.155 * [taylor]: Taking taylor expansion of -1 in lambda1 1.155 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.155 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in lambda1 1.155 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.155 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.155 * [taylor]: Taking taylor expansion of -1 in lambda1 1.155 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.155 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in lambda1 1.155 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 1.155 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 1.155 * [taylor]: Taking taylor expansion of -1 in lambda1 1.155 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.155 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.155 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.155 * [taylor]: Taking taylor expansion of -1 in lambda1 1.155 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.157 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in lambda2 1.157 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 1.157 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 1.157 * [taylor]: Taking taylor expansion of -1 in lambda2 1.157 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.157 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in lambda2 1.157 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.157 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.157 * [taylor]: Taking taylor expansion of -1 in lambda2 1.157 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.157 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in lambda2 1.157 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 1.157 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 1.157 * [taylor]: Taking taylor expansion of -1 in lambda2 1.157 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.157 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.157 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.157 * [taylor]: Taking taylor expansion of -1 in lambda2 1.157 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.163 * [taylor]: Taking taylor expansion of 0 in phi2 1.163 * [taylor]: Taking taylor expansion of 0 in lambda1 1.163 * [taylor]: Taking taylor expansion of 0 in lambda2 1.168 * [taylor]: Taking taylor expansion of 0 in lambda1 1.168 * [taylor]: Taking taylor expansion of 0 in lambda2 1.173 * [taylor]: Taking taylor expansion of 0 in lambda2 1.185 * [taylor]: Taking taylor expansion of 0 in phi2 1.185 * [taylor]: Taking taylor expansion of 0 in lambda1 1.185 * [taylor]: Taking taylor expansion of 0 in lambda2 1.185 * [taylor]: Taking taylor expansion of 0 in lambda1 1.185 * [taylor]: Taking taylor expansion of 0 in lambda2 1.186 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1) 1.186 * [approximate]: Taking taylor expansion of (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) in (phi1 phi2 lambda1 lambda2) around 0 1.186 * [taylor]: Taking taylor expansion of (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) in lambda2 1.186 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda2 1.186 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.186 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (cos lambda2))) in lambda2 1.186 * [taylor]: Taking taylor expansion of (cos phi1) in lambda2 1.186 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.186 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos lambda2)) in lambda2 1.186 * [taylor]: Taking taylor expansion of (cos phi2) in lambda2 1.186 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.186 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 1.186 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.186 * [taylor]: Taking taylor expansion of (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) in lambda1 1.186 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 1.186 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.186 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (cos lambda2))) in lambda1 1.186 * [taylor]: Taking taylor expansion of (cos phi1) in lambda1 1.186 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.186 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos lambda2)) in lambda1 1.186 * [taylor]: Taking taylor expansion of (cos phi2) in lambda1 1.186 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.186 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 1.186 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.187 * [taylor]: Taking taylor expansion of (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) in phi2 1.187 * [taylor]: Taking taylor expansion of (cos lambda1) in phi2 1.187 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.187 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (cos lambda2))) in phi2 1.187 * [taylor]: Taking taylor expansion of (cos phi1) in phi2 1.187 * [taylor]: Taking taylor expansion of phi1 in phi2 1.187 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos lambda2)) in phi2 1.187 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 1.187 * [taylor]: Taking taylor expansion of phi2 in phi2 1.187 * [taylor]: Taking taylor expansion of (cos lambda2) in phi2 1.187 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.187 * [taylor]: Taking taylor expansion of (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) in phi1 1.187 * [taylor]: Taking taylor expansion of (cos lambda1) in phi1 1.187 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.187 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (cos lambda2))) in phi1 1.187 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 1.187 * [taylor]: Taking taylor expansion of phi1 in phi1 1.187 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos lambda2)) in phi1 1.187 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 1.187 * [taylor]: Taking taylor expansion of phi2 in phi1 1.187 * [taylor]: Taking taylor expansion of (cos lambda2) in phi1 1.187 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.187 * [taylor]: Taking taylor expansion of (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) in phi1 1.187 * [taylor]: Taking taylor expansion of (cos lambda1) in phi1 1.187 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.187 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (cos lambda2))) in phi1 1.187 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 1.187 * [taylor]: Taking taylor expansion of phi1 in phi1 1.187 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos lambda2)) in phi1 1.187 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 1.187 * [taylor]: Taking taylor expansion of phi2 in phi1 1.187 * [taylor]: Taking taylor expansion of (cos lambda2) in phi1 1.187 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.188 * [taylor]: Taking taylor expansion of (* (cos lambda1) (* (cos phi2) (cos lambda2))) in phi2 1.188 * [taylor]: Taking taylor expansion of (cos lambda1) in phi2 1.188 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.188 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos lambda2)) in phi2 1.188 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 1.188 * [taylor]: Taking taylor expansion of phi2 in phi2 1.189 * [taylor]: Taking taylor expansion of (cos lambda2) in phi2 1.189 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.191 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 1.191 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 1.191 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.191 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 1.191 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.192 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 1.192 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.197 * [taylor]: Taking taylor expansion of 0 in phi2 1.197 * [taylor]: Taking taylor expansion of 0 in lambda1 1.197 * [taylor]: Taking taylor expansion of 0 in lambda2 1.201 * [taylor]: Taking taylor expansion of 0 in lambda1 1.201 * [taylor]: Taking taylor expansion of 0 in lambda2 1.203 * [taylor]: Taking taylor expansion of 0 in lambda2 1.210 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (cos lambda1) (* (cos phi2) (cos lambda2))))) in phi2 1.210 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos lambda1) (* (cos phi2) (cos lambda2)))) in phi2 1.210 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.210 * [taylor]: Taking taylor expansion of (* (cos lambda1) (* (cos phi2) (cos lambda2))) in phi2 1.210 * [taylor]: Taking taylor expansion of (cos lambda1) in phi2 1.210 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.210 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos lambda2)) in phi2 1.210 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 1.210 * [taylor]: Taking taylor expansion of phi2 in phi2 1.210 * [taylor]: Taking taylor expansion of (cos lambda2) in phi2 1.210 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.211 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (cos lambda1) (cos lambda2)))) in lambda1 1.211 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos lambda1) (cos lambda2))) in lambda1 1.211 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.211 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 1.211 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 1.211 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.211 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 1.211 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.212 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos lambda2))) in lambda2 1.212 * [taylor]: Taking taylor expansion of (* 1/2 (cos lambda2)) in lambda2 1.212 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.212 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 1.212 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.212 * [taylor]: Taking taylor expansion of 0 in lambda1 1.212 * [taylor]: Taking taylor expansion of 0 in lambda2 1.218 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (cos lambda1) (cos lambda2)))) in lambda1 1.218 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos lambda1) (cos lambda2))) in lambda1 1.218 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.218 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 1.218 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 1.218 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.218 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 1.218 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.218 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos lambda2))) in lambda2 1.218 * [taylor]: Taking taylor expansion of (* 1/2 (cos lambda2)) in lambda2 1.218 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.218 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 1.218 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.219 * [approximate]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) in (phi1 phi2 lambda1 lambda2) around 0 1.219 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) in lambda2 1.219 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda2 1.219 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.219 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.220 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))) in lambda2 1.220 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 1.220 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.220 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.220 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))) in lambda2 1.220 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 1.220 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.220 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.220 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda2 1.220 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.220 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.220 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) in lambda1 1.220 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda1 1.220 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.220 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.220 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))) in lambda1 1.220 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 1.220 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.220 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.220 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))) in lambda1 1.220 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 1.220 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.220 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.220 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda1 1.220 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.220 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.221 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) in phi2 1.221 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi2 1.221 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.221 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.221 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))) in phi2 1.221 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 1.221 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.221 * [taylor]: Taking taylor expansion of phi2 in phi2 1.221 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))) in phi2 1.221 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 1.221 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.221 * [taylor]: Taking taylor expansion of phi1 in phi2 1.221 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi2 1.221 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.221 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.221 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) in phi1 1.221 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi1 1.221 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.221 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.222 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))) in phi1 1.222 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 1.222 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.222 * [taylor]: Taking taylor expansion of phi2 in phi1 1.222 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))) in phi1 1.222 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 1.222 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.222 * [taylor]: Taking taylor expansion of phi1 in phi1 1.222 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi1 1.222 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.222 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.222 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) in phi1 1.222 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi1 1.222 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.222 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.222 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))) in phi1 1.222 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 1.222 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.222 * [taylor]: Taking taylor expansion of phi2 in phi1 1.222 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))) in phi1 1.222 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 1.222 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.222 * [taylor]: Taking taylor expansion of phi1 in phi1 1.223 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi1 1.223 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.223 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.224 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) in phi2 1.224 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 1.224 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.224 * [taylor]: Taking taylor expansion of phi2 in phi2 1.224 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))) in phi2 1.224 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi2 1.224 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.224 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.225 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))) in phi2 1.225 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 1.225 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.225 * [taylor]: Taking taylor expansion of phi1 in phi2 1.225 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi2 1.225 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.225 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.226 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) in lambda1 1.226 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda1 1.226 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.226 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.226 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))) in lambda1 1.226 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 1.226 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.226 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.227 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))) in lambda1 1.227 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 1.227 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.227 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.227 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda1 1.227 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.227 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.228 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) in lambda2 1.228 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 1.228 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.228 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.228 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))) in lambda2 1.228 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda2 1.228 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.228 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.229 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))) in lambda2 1.229 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 1.229 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.229 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.229 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda2 1.229 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.229 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.236 * [taylor]: Taking taylor expansion of 0 in phi2 1.236 * [taylor]: Taking taylor expansion of 0 in lambda1 1.236 * [taylor]: Taking taylor expansion of 0 in lambda2 1.241 * [taylor]: Taking taylor expansion of 0 in lambda1 1.241 * [taylor]: Taking taylor expansion of 0 in lambda2 1.247 * [taylor]: Taking taylor expansion of 0 in lambda2 1.266 * [taylor]: Taking taylor expansion of 0 in phi2 1.266 * [taylor]: Taking taylor expansion of 0 in lambda1 1.266 * [taylor]: Taking taylor expansion of 0 in lambda2 1.266 * [taylor]: Taking taylor expansion of 0 in lambda1 1.267 * [taylor]: Taking taylor expansion of 0 in lambda2 1.267 * [approximate]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) in (phi1 phi2 lambda1 lambda2) around 0 1.267 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) in lambda2 1.267 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 1.267 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 1.267 * [taylor]: Taking taylor expansion of -1 in lambda2 1.267 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.268 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) in lambda2 1.268 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda2 1.268 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.268 * [taylor]: Taking taylor expansion of -1 in lambda2 1.268 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.268 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))) in lambda2 1.268 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 1.268 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 1.268 * [taylor]: Taking taylor expansion of -1 in lambda2 1.268 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.268 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda2 1.268 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.268 * [taylor]: Taking taylor expansion of -1 in lambda2 1.268 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.269 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) in lambda1 1.269 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 1.269 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 1.269 * [taylor]: Taking taylor expansion of -1 in lambda1 1.269 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.269 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) in lambda1 1.269 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda1 1.269 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.269 * [taylor]: Taking taylor expansion of -1 in lambda1 1.269 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.270 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))) in lambda1 1.270 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 1.270 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 1.270 * [taylor]: Taking taylor expansion of -1 in lambda1 1.270 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.270 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda1 1.270 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.270 * [taylor]: Taking taylor expansion of -1 in lambda1 1.270 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.270 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) in phi2 1.270 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 1.270 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.270 * [taylor]: Taking taylor expansion of -1 in phi2 1.270 * [taylor]: Taking taylor expansion of phi1 in phi2 1.270 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) in phi2 1.270 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi2 1.271 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 1.271 * [taylor]: Taking taylor expansion of -1 in phi2 1.271 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.271 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))) in phi2 1.271 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 1.271 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.271 * [taylor]: Taking taylor expansion of -1 in phi2 1.271 * [taylor]: Taking taylor expansion of phi2 in phi2 1.271 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi2 1.271 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 1.271 * [taylor]: Taking taylor expansion of -1 in phi2 1.271 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.272 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) in phi1 1.272 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 1.272 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.272 * [taylor]: Taking taylor expansion of -1 in phi1 1.272 * [taylor]: Taking taylor expansion of phi1 in phi1 1.272 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) in phi1 1.272 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi1 1.272 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 1.272 * [taylor]: Taking taylor expansion of -1 in phi1 1.272 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.272 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))) in phi1 1.272 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 1.272 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.273 * [taylor]: Taking taylor expansion of -1 in phi1 1.273 * [taylor]: Taking taylor expansion of phi2 in phi1 1.273 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi1 1.273 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 1.273 * [taylor]: Taking taylor expansion of -1 in phi1 1.273 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.273 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) in phi1 1.273 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 1.273 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.273 * [taylor]: Taking taylor expansion of -1 in phi1 1.273 * [taylor]: Taking taylor expansion of phi1 in phi1 1.274 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) in phi1 1.274 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi1 1.274 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 1.274 * [taylor]: Taking taylor expansion of -1 in phi1 1.274 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.274 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))) in phi1 1.274 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 1.274 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.274 * [taylor]: Taking taylor expansion of -1 in phi1 1.274 * [taylor]: Taking taylor expansion of phi2 in phi1 1.274 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi1 1.274 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 1.274 * [taylor]: Taking taylor expansion of -1 in phi1 1.274 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.277 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) in phi2 1.277 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 1.277 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.277 * [taylor]: Taking taylor expansion of -1 in phi2 1.277 * [taylor]: Taking taylor expansion of phi1 in phi2 1.277 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) in phi2 1.277 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi2 1.277 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 1.277 * [taylor]: Taking taylor expansion of -1 in phi2 1.277 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.277 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))) in phi2 1.277 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 1.277 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.277 * [taylor]: Taking taylor expansion of -1 in phi2 1.278 * [taylor]: Taking taylor expansion of phi2 in phi2 1.278 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi2 1.278 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 1.278 * [taylor]: Taking taylor expansion of -1 in phi2 1.278 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.280 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) in lambda1 1.280 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 1.280 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 1.280 * [taylor]: Taking taylor expansion of -1 in lambda1 1.280 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.281 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) in lambda1 1.281 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda1 1.281 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.281 * [taylor]: Taking taylor expansion of -1 in lambda1 1.281 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.281 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))) in lambda1 1.281 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 1.281 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 1.281 * [taylor]: Taking taylor expansion of -1 in lambda1 1.281 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.281 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda1 1.281 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.281 * [taylor]: Taking taylor expansion of -1 in lambda1 1.282 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.284 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) in lambda2 1.284 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 1.284 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 1.284 * [taylor]: Taking taylor expansion of -1 in lambda2 1.284 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.284 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) in lambda2 1.284 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda2 1.284 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.284 * [taylor]: Taking taylor expansion of -1 in lambda2 1.284 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.284 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))) in lambda2 1.284 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 1.284 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 1.284 * [taylor]: Taking taylor expansion of -1 in lambda2 1.284 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.285 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda2 1.285 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.285 * [taylor]: Taking taylor expansion of -1 in lambda2 1.285 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.297 * [taylor]: Taking taylor expansion of 0 in phi2 1.297 * [taylor]: Taking taylor expansion of 0 in lambda1 1.297 * [taylor]: Taking taylor expansion of 0 in lambda2 1.305 * [taylor]: Taking taylor expansion of 0 in lambda1 1.306 * [taylor]: Taking taylor expansion of 0 in lambda2 1.313 * [taylor]: Taking taylor expansion of 0 in lambda2 1.326 * [taylor]: Taking taylor expansion of 0 in phi2 1.326 * [taylor]: Taking taylor expansion of 0 in lambda1 1.326 * [taylor]: Taking taylor expansion of 0 in lambda2 1.326 * [taylor]: Taking taylor expansion of 0 in lambda1 1.326 * [taylor]: Taking taylor expansion of 0 in lambda2 1.326 * * * [progress]: simplifying candidates 1.327 * [simplify]: Simplifying using # : (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (+ (+ (log (cos phi1)) (log (cos phi2))) (+ (log (sin lambda1)) (log (sin lambda2)))) (+ (+ (log (cos phi1)) (log (cos phi2))) (log (* (sin lambda1) (sin lambda2)))) (+ (log (* (cos phi1) (cos phi2))) (+ (log (sin lambda1)) (log (sin lambda2)))) (+ (log (* (cos phi1) (cos phi2))) (log (* (sin lambda1) (sin lambda2)))) (log (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (* (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2)))) (* (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))) (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2)))) (* (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2)))) (* (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))) (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2)))) (* (cbrt (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (cbrt (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))) (cbrt (* (* (cos phi1) 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(cos lambda2)) (cos lambda2)))) (* (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))) (* (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (cos lambda1) (cos lambda2)))) (* (cbrt (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2)))) (cbrt (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))))) (cbrt (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2)))) (* (* (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2)))) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2)))) (sqrt (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2)))) (sqrt (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2)))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2)))) (* 2 2) (* (* (cos phi1) (cos phi2)) (cos lambda1)) (* (cos phi2) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) 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lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) 0 (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (- 1 (+ (* 1/2 (pow phi1 2)) (* 1/2 (pow phi2 2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) 1.328 * [simplify]: Sending expressions to egg_math: (/ PI 2) (asin (+ (* (sin h0) (sin h1)) (+ (* (* (cos h0) (cos h1)) (* (cos h2) (cos h3))) (* (* (cos h0) (cos h1)) (* (sin h2) (sin h3)))))) (log (acos (+ (* (sin h0) (sin h1)) (+ (* (* (cos h0) (cos h1)) (* (cos h2) (cos h3))) (* (* (cos h0) (cos h1)) (* (sin h2) (sin h3))))))) (exp (acos (+ (* (sin h0) (sin h1)) (+ (* (* (cos h0) (cos h1)) (* (cos h2) (cos h3))) (* (* (cos h0) (cos h1)) (* (sin h2) (sin h3))))))) (* (cbrt (acos (+ (* (sin h0) (sin h1)) (+ (* (* (cos h0) (cos h1)) (* 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h0) (cos h1)) (cos h2)) (* (cos h1) (* (cos h2) (cos h3))) (* (* (cos h0) (cos h1)) (+ (cos (+ h2 h3)) (cos (- h2 h3)))) (* (+ (cos (+ h0 h1)) (cos (- h0 h1))) (* (cos h2) (cos h3))) (acos (+ (* (sin h0) (sin h1)) (+ (* (cos h2) (* (cos h0) (* (cos h1) (cos h3)))) (* (sin h2) (* (cos h0) (* (cos h1) (sin h3))))))) (acos (+ (* (sin h0) (sin h1)) (+ (* (cos h2) (* (cos h0) (* (cos h1) (cos h3)))) (* (sin h2) (* (cos h0) (* (cos h1) (sin h3))))))) (acos (+ (* (sin h2) (* (cos h0) (* (cos h1) (sin h3)))) (+ (* (cos h2) (* (cos h0) (* (cos h1) (cos h3)))) (* (sin h0) (sin h1))))) (* (acos (+ (* (sin h0) (sin h1)) (+ (* (cos h2) (* (cos h0) (* (cos h1) (cos h3)))) (* (sin h2) (* (cos h0) (* (cos h1) (sin h3))))))) h4) (* (acos (+ (* (sin h0) (sin h1)) (+ (* (cos h2) (* (cos h0) (* (cos h1) (cos h3)))) (* (sin h2) (* (cos h0) (* (cos h1) (sin h3))))))) h4) (* (acos (+ (* (sin h2) (* (cos h0) (* (cos h1) (sin h3)))) (+ (* (cos h2) (* (cos h0) (* (cos h1) (cos h3)))) (* (sin h0) (sin h1))))) h4) 0 (* (sin h2) (* (cos h0) (* (cos h1) (sin h3)))) (* (sin h2) (* (cos h0) (* (cos h1) (sin h3)))) (- 1 (+ (* 1/2 (pow h0 2)) (* 1/2 (pow h1 2)))) (* (cos h2) (* (cos h0) (* (cos h1) (cos h3)))) (* (cos h2) (* (cos h0) (* (cos h1) (cos h3)))) 1.334 * * [simplify]: iteration 0 : 419 enodes (cost 1435 ) 1.341 * * [simplify]: iteration 1 : 1667 enodes (cost 1158 ) 1.374 * * [simplify]: iteration 2 : 5002 enodes (cost 1158 ) 1.378 * [simplify]: Simplified to: (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (log (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (log (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (log (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (log (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (log (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (pow (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) 3) (pow (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) 3) (pow (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) 3) (pow (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) 3) (* (cbrt (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (cbrt (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))) (cbrt (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (pow (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) 3) (sqrt (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (sqrt (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))) 4 (* (* (cos phi1) (cos phi2)) (sin lambda1)) (* (cos phi2) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (log (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2)))) (log (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2)))) (log (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2)))) (log (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2)))) (log (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2)))) (exp (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2)))) (pow (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) 3) (pow (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) 3) (pow (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) 3) (pow (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) 3) (* (cbrt (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2)))) (cbrt (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))))) (cbrt (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2)))) (pow (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) 3) (sqrt (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2)))) (sqrt (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2)))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2)))) 4 (* (* (cos phi1) (cos phi2)) (cos lambda1)) (* (cos phi2) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2)))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (* (cos lambda1) (cos lambda2))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R) 0 (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (- 1 (+ (* 1/2 (pow phi1 2)) (* 1/2 (pow phi2 2)))) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) 1.379 * * * [progress]: adding candidates to table 1.686 * * [progress]: iteration 3 / 4 1.686 * * * [progress]: picking best candidate 1.759 * * * * [pick]: Picked # 1.759 * * * [progress]: localizing error 1.800 * * * [progress]: generating rewritten candidates 1.800 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 1.802 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.807 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.810 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.825 * * * [progress]: generating series expansions 1.825 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 1.826 * [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 1.826 * [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 1.826 * [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 1.827 * [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 1.827 * [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 1.827 * [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 1.828 * [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 1.828 * [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 1.828 * [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 1.829 * [taylor]: Taking taylor expansion of 0 in phi2 1.829 * [taylor]: Taking taylor expansion of 0 in lambda1 1.829 * [taylor]: Taking taylor expansion of 0 in lambda2 1.829 * [taylor]: Taking taylor expansion of 0 in lambda1 1.829 * [taylor]: Taking taylor expansion of 0 in lambda2 1.829 * [taylor]: Taking taylor expansion of 0 in lambda2 1.829 * [taylor]: Taking taylor expansion of 0 in phi2 1.829 * [taylor]: Taking taylor expansion of 0 in lambda1 1.829 * [taylor]: Taking taylor expansion of 0 in lambda2 1.830 * [taylor]: Taking taylor expansion of 0 in lambda1 1.830 * [taylor]: Taking taylor expansion of 0 in lambda2 1.831 * [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 1.831 * [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 1.831 * [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 1.832 * [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 1.832 * [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 1.833 * [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 1.833 * [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 1.834 * [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 1.834 * [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 1.835 * [taylor]: Taking taylor expansion of 0 in phi2 1.835 * [taylor]: Taking taylor expansion of 0 in lambda1 1.835 * [taylor]: Taking taylor expansion of 0 in lambda2 1.835 * [taylor]: Taking taylor expansion of 0 in lambda1 1.835 * [taylor]: Taking taylor expansion of 0 in lambda2 1.835 * [taylor]: Taking taylor expansion of 0 in lambda2 1.835 * [taylor]: Taking taylor expansion of 0 in phi2 1.835 * [taylor]: Taking taylor expansion of 0 in lambda1 1.835 * [taylor]: Taking taylor expansion of 0 in lambda2 1.835 * [taylor]: Taking taylor expansion of 0 in lambda1 1.835 * [taylor]: Taking taylor expansion of 0 in lambda2 1.837 * [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 1.837 * [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 1.837 * [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 1.838 * [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 1.838 * [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 1.839 * [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 1.839 * [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 1.840 * [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 1.840 * [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 1.841 * [taylor]: Taking taylor expansion of 0 in phi2 1.841 * [taylor]: Taking taylor expansion of 0 in lambda1 1.842 * [taylor]: Taking taylor expansion of 0 in lambda2 1.842 * [taylor]: Taking taylor expansion of 0 in lambda1 1.842 * [taylor]: Taking taylor expansion of 0 in lambda2 1.842 * [taylor]: Taking taylor expansion of 0 in lambda2 1.842 * [taylor]: Taking taylor expansion of 0 in phi2 1.842 * [taylor]: Taking taylor expansion of 0 in lambda1 1.842 * [taylor]: Taking taylor expansion of 0 in lambda2 1.842 * [taylor]: Taking taylor expansion of 0 in lambda1 1.842 * [taylor]: Taking taylor expansion of 0 in lambda2 1.842 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.843 * [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 1.843 * [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 1.843 * [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 1.844 * [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 1.844 * [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 1.844 * [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 1.845 * [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 1.845 * [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 1.846 * [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 1.846 * [taylor]: Taking taylor expansion of 0 in phi2 1.846 * [taylor]: Taking taylor expansion of 0 in lambda1 1.846 * [taylor]: Taking taylor expansion of 0 in lambda2 1.847 * [taylor]: Taking taylor expansion of 0 in lambda1 1.847 * [taylor]: Taking taylor expansion of 0 in lambda2 1.847 * [taylor]: Taking taylor expansion of 0 in lambda2 1.847 * [taylor]: Taking taylor expansion of 0 in phi2 1.847 * [taylor]: Taking taylor expansion of 0 in lambda1 1.847 * [taylor]: Taking taylor expansion of 0 in lambda2 1.847 * [taylor]: Taking taylor expansion of 0 in lambda1 1.847 * [taylor]: Taking taylor expansion of 0 in lambda2 1.848 * [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 1.848 * [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 1.848 * [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 1.849 * [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 1.849 * [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 1.850 * [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 1.850 * [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 1.851 * [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 1.851 * [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 1.852 * [taylor]: Taking taylor expansion of 0 in phi2 1.852 * [taylor]: Taking taylor expansion of 0 in lambda1 1.852 * [taylor]: Taking taylor expansion of 0 in lambda2 1.852 * [taylor]: Taking taylor expansion of 0 in lambda1 1.852 * [taylor]: Taking taylor expansion of 0 in lambda2 1.852 * [taylor]: Taking taylor expansion of 0 in lambda2 1.852 * [taylor]: Taking taylor expansion of 0 in phi2 1.852 * [taylor]: Taking taylor expansion of 0 in lambda1 1.852 * [taylor]: Taking taylor expansion of 0 in lambda2 1.853 * [taylor]: Taking taylor expansion of 0 in lambda1 1.853 * [taylor]: Taking taylor expansion of 0 in lambda2 1.854 * [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 1.854 * [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 1.854 * [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 1.855 * [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 1.855 * [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 1.856 * [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 1.856 * [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 1.857 * [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 1.857 * [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 1.859 * [taylor]: Taking taylor expansion of 0 in phi2 1.859 * [taylor]: Taking taylor expansion of 0 in lambda1 1.859 * [taylor]: Taking taylor expansion of 0 in lambda2 1.859 * [taylor]: Taking taylor expansion of 0 in lambda1 1.859 * [taylor]: Taking taylor expansion of 0 in lambda2 1.859 * [taylor]: Taking taylor expansion of 0 in lambda2 1.859 * [taylor]: Taking taylor expansion of 0 in phi2 1.859 * [taylor]: Taking taylor expansion of 0 in lambda1 1.859 * [taylor]: Taking taylor expansion of 0 in lambda2 1.859 * [taylor]: Taking taylor expansion of 0 in lambda1 1.859 * [taylor]: Taking taylor expansion of 0 in lambda2 1.859 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.860 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.860 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2 1.860 * [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 1.861 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1 1.861 * [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 1.862 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2 1.862 * [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 1.862 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1 1.862 * [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 1.863 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1 1.863 * [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 1.864 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2 1.864 * [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 1.867 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1 1.867 * [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 1.868 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2 1.868 * [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 1.870 * [taylor]: Taking taylor expansion of 0 in phi2 1.870 * [taylor]: Taking taylor expansion of 0 in lambda1 1.870 * [taylor]: Taking taylor expansion of 0 in lambda2 1.871 * [taylor]: Taking taylor expansion of 0 in lambda1 1.871 * [taylor]: Taking taylor expansion of 0 in lambda2 1.872 * [taylor]: Taking taylor expansion of 0 in lambda2 1.874 * [taylor]: Taking taylor expansion of 0 in phi2 1.874 * [taylor]: Taking taylor expansion of 0 in lambda1 1.874 * [taylor]: Taking taylor expansion of 0 in lambda2 1.874 * [taylor]: Taking taylor expansion of 0 in lambda1 1.874 * [taylor]: Taking taylor expansion of 0 in lambda2 1.875 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.875 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2 1.875 * [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 1.876 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1 1.876 * [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 1.877 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2 1.877 * [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 1.878 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1 1.878 * [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 1.879 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1 1.879 * [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 1.880 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2 1.880 * [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 1.881 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1 1.881 * [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 1.882 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2 1.882 * [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 1.885 * [taylor]: Taking taylor expansion of 0 in phi2 1.885 * [taylor]: Taking taylor expansion of 0 in lambda1 1.885 * [taylor]: Taking taylor expansion of 0 in lambda2 1.886 * [taylor]: Taking taylor expansion of 0 in lambda1 1.886 * [taylor]: Taking taylor expansion of 0 in lambda2 1.887 * [taylor]: Taking taylor expansion of 0 in lambda2 1.889 * [taylor]: Taking taylor expansion of 0 in phi2 1.889 * [taylor]: Taking taylor expansion of 0 in lambda1 1.889 * [taylor]: Taking taylor expansion of 0 in lambda2 1.889 * [taylor]: Taking taylor expansion of 0 in lambda1 1.889 * [taylor]: Taking taylor expansion of 0 in lambda2 1.891 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.891 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2 1.891 * [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 1.892 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda1 1.892 * [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 1.893 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2 1.893 * [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 1.894 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi1 1.894 * [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 1.895 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi1 1.895 * [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 1.896 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2 1.896 * [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 1.897 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda1 1.897 * [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 1.898 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2 1.898 * [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 1.901 * [taylor]: Taking taylor expansion of 0 in phi2 1.901 * [taylor]: Taking taylor expansion of 0 in lambda1 1.901 * [taylor]: Taking taylor expansion of 0 in lambda2 1.902 * [taylor]: Taking taylor expansion of 0 in lambda1 1.902 * [taylor]: Taking taylor expansion of 0 in lambda2 1.903 * [taylor]: Taking taylor expansion of 0 in lambda2 1.905 * [taylor]: Taking taylor expansion of 0 in phi2 1.905 * [taylor]: Taking taylor expansion of 0 in lambda1 1.905 * [taylor]: Taking taylor expansion of 0 in lambda2 1.905 * [taylor]: Taking taylor expansion of 0 in lambda1 1.905 * [taylor]: Taking taylor expansion of 0 in lambda2 1.906 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.906 * [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 1.906 * [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 1.906 * [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 1.907 * [taylor]: Taking taylor expansion of R in R 1.907 * [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 1.907 * [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 1.907 * [taylor]: Taking taylor expansion of R in lambda2 1.907 * [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 1.907 * [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 1.908 * [taylor]: Taking taylor expansion of R in lambda1 1.908 * [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 1.908 * [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 1.908 * [taylor]: Taking taylor expansion of R in phi2 1.908 * [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 1.908 * [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 1.908 * [taylor]: Taking taylor expansion of R in phi1 1.908 * [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 1.909 * [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 1.909 * [taylor]: Taking taylor expansion of R in phi1 1.909 * [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 1.909 * [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 1.910 * [taylor]: Taking taylor expansion of R in phi2 1.910 * [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 1.910 * [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 1.910 * [taylor]: Taking taylor expansion of R in lambda1 1.911 * [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 1.911 * [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 1.911 * [taylor]: Taking taylor expansion of R in lambda2 1.912 * [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 1.912 * [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 1.912 * [taylor]: Taking taylor expansion of R in R 1.913 * [taylor]: Taking taylor expansion of 0 in phi2 1.913 * [taylor]: Taking taylor expansion of 0 in lambda1 1.913 * [taylor]: Taking taylor expansion of 0 in lambda2 1.913 * [taylor]: Taking taylor expansion of 0 in R 1.913 * [taylor]: Taking taylor expansion of 0 in lambda1 1.913 * [taylor]: Taking taylor expansion of 0 in lambda2 1.913 * [taylor]: Taking taylor expansion of 0 in R 1.914 * [taylor]: Taking taylor expansion of 0 in lambda2 1.914 * [taylor]: Taking taylor expansion of 0 in R 1.914 * [taylor]: Taking taylor expansion of 0 in R 1.916 * [taylor]: Taking taylor expansion of 0 in phi2 1.916 * [taylor]: Taking taylor expansion of 0 in lambda1 1.916 * [taylor]: Taking taylor expansion of 0 in lambda2 1.916 * [taylor]: Taking taylor expansion of 0 in R 1.916 * [taylor]: Taking taylor expansion of 0 in lambda1 1.916 * [taylor]: Taking taylor expansion of 0 in lambda2 1.916 * [taylor]: Taking taylor expansion of 0 in R 1.917 * [taylor]: Taking taylor expansion of 0 in lambda1 1.917 * [taylor]: Taking taylor expansion of 0 in lambda2 1.917 * [taylor]: Taking taylor expansion of 0 in R 1.917 * [taylor]: Taking taylor expansion of 0 in lambda2 1.917 * [taylor]: Taking taylor expansion of 0 in R 1.917 * [taylor]: Taking taylor expansion of 0 in lambda2 1.917 * [taylor]: Taking taylor expansion of 0 in R 1.918 * [taylor]: Taking taylor expansion of 0 in lambda2 1.918 * [taylor]: Taking taylor expansion of 0 in R 1.919 * [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 1.919 * [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 1.919 * [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 1.920 * [taylor]: Taking taylor expansion of R in R 1.920 * [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 1.920 * [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 1.921 * [taylor]: Taking taylor expansion of R in lambda2 1.921 * [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 1.921 * [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 1.922 * [taylor]: Taking taylor expansion of R in lambda1 1.922 * [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 1.922 * [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 1.923 * [taylor]: Taking taylor expansion of R in phi2 1.923 * [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 1.923 * [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 1.924 * [taylor]: Taking taylor expansion of R in phi1 1.924 * [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 1.924 * [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 1.925 * [taylor]: Taking taylor expansion of R in phi1 1.926 * [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 1.926 * [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 1.926 * [taylor]: Taking taylor expansion of R in phi2 1.927 * [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 1.927 * [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 1.927 * [taylor]: Taking taylor expansion of R in lambda1 1.928 * [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 1.928 * [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 1.928 * [taylor]: Taking taylor expansion of R in lambda2 1.929 * [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 1.929 * [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 1.929 * [taylor]: Taking taylor expansion of R in R 1.931 * [taylor]: Taking taylor expansion of 0 in phi2 1.931 * [taylor]: Taking taylor expansion of 0 in lambda1 1.931 * [taylor]: Taking taylor expansion of 0 in lambda2 1.931 * [taylor]: Taking taylor expansion of 0 in R 1.932 * [taylor]: Taking taylor expansion of 0 in lambda1 1.932 * [taylor]: Taking taylor expansion of 0 in lambda2 1.932 * [taylor]: Taking taylor expansion of 0 in R 1.933 * [taylor]: Taking taylor expansion of 0 in lambda2 1.933 * [taylor]: Taking taylor expansion of 0 in R 1.933 * [taylor]: Taking taylor expansion of 0 in R 1.935 * [taylor]: Taking taylor expansion of 0 in phi2 1.935 * [taylor]: Taking taylor expansion of 0 in lambda1 1.935 * [taylor]: Taking taylor expansion of 0 in lambda2 1.935 * [taylor]: Taking taylor expansion of 0 in R 1.935 * [taylor]: Taking taylor expansion of 0 in lambda1 1.935 * [taylor]: Taking taylor expansion of 0 in lambda2 1.935 * [taylor]: Taking taylor expansion of 0 in R 1.936 * [taylor]: Taking taylor expansion of 0 in lambda1 1.936 * [taylor]: Taking taylor expansion of 0 in lambda2 1.936 * [taylor]: Taking taylor expansion of 0 in R 1.936 * [taylor]: Taking taylor expansion of 0 in lambda2 1.936 * [taylor]: Taking taylor expansion of 0 in R 1.936 * [taylor]: Taking taylor expansion of 0 in lambda2 1.936 * [taylor]: Taking taylor expansion of 0 in R 1.937 * [taylor]: Taking taylor expansion of 0 in lambda2 1.937 * [taylor]: Taking taylor expansion of 0 in R 1.937 * [taylor]: Taking taylor expansion of 0 in R 1.937 * [taylor]: Taking taylor expansion of 0 in R 1.937 * [taylor]: Taking taylor expansion of 0 in R 1.938 * [taylor]: Taking taylor expansion of 0 in R 1.941 * [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 1.941 * [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 1.941 * [taylor]: Taking taylor expansion of -1 in R 1.941 * [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 1.941 * [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 1.942 * [taylor]: Taking taylor expansion of R in R 1.942 * [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 1.942 * [taylor]: Taking taylor expansion of -1 in lambda2 1.942 * [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 1.942 * [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 1.943 * [taylor]: Taking taylor expansion of R in lambda2 1.943 * [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 1.943 * [taylor]: Taking taylor expansion of -1 in lambda1 1.943 * [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 1.943 * [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 1.944 * [taylor]: Taking taylor expansion of R in lambda1 1.944 * [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 1.944 * [taylor]: Taking taylor expansion of -1 in phi2 1.944 * [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 1.944 * [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 1.945 * [taylor]: Taking taylor expansion of R in phi2 1.945 * [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 1.945 * [taylor]: Taking taylor expansion of -1 in phi1 1.945 * [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 1.945 * [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 1.946 * [taylor]: Taking taylor expansion of R in phi1 1.948 * [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 1.948 * [taylor]: Taking taylor expansion of -1 in phi1 1.948 * [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 1.948 * [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 1.949 * [taylor]: Taking taylor expansion of R in phi1 1.950 * [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 1.950 * [taylor]: Taking taylor expansion of -1 in phi2 1.950 * [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 1.950 * [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 1.950 * [taylor]: Taking taylor expansion of R in phi2 1.951 * [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 1.952 * [taylor]: Taking taylor expansion of -1 in lambda1 1.952 * [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 1.952 * [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 1.952 * [taylor]: Taking taylor expansion of R in lambda1 1.953 * [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 1.953 * [taylor]: Taking taylor expansion of -1 in lambda2 1.953 * [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 1.953 * [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 1.954 * [taylor]: Taking taylor expansion of R in lambda2 1.955 * [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 1.955 * [taylor]: Taking taylor expansion of -1 in R 1.955 * [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 1.955 * [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 1.955 * [taylor]: Taking taylor expansion of R in R 1.958 * [taylor]: Taking taylor expansion of 0 in phi2 1.959 * [taylor]: Taking taylor expansion of 0 in lambda1 1.959 * [taylor]: Taking taylor expansion of 0 in lambda2 1.959 * [taylor]: Taking taylor expansion of 0 in R 1.960 * [taylor]: Taking taylor expansion of 0 in lambda1 1.960 * [taylor]: Taking taylor expansion of 0 in lambda2 1.960 * [taylor]: Taking taylor expansion of 0 in R 1.961 * [taylor]: Taking taylor expansion of 0 in lambda2 1.962 * [taylor]: Taking taylor expansion of 0 in R 1.963 * [taylor]: Taking taylor expansion of 0 in R 1.966 * [taylor]: Taking taylor expansion of 0 in phi2 1.966 * [taylor]: Taking taylor expansion of 0 in lambda1 1.966 * [taylor]: Taking taylor expansion of 0 in lambda2 1.966 * [taylor]: Taking taylor expansion of 0 in R 1.966 * [taylor]: Taking taylor expansion of 0 in lambda1 1.966 * [taylor]: Taking taylor expansion of 0 in lambda2 1.967 * [taylor]: Taking taylor expansion of 0 in R 1.968 * [taylor]: Taking taylor expansion of 0 in lambda1 1.968 * [taylor]: Taking taylor expansion of 0 in lambda2 1.968 * [taylor]: Taking taylor expansion of 0 in R 1.968 * [taylor]: Taking taylor expansion of 0 in lambda2 1.968 * [taylor]: Taking taylor expansion of 0 in R 1.968 * [taylor]: Taking taylor expansion of 0 in lambda2 1.968 * [taylor]: Taking taylor expansion of 0 in R 1.970 * [taylor]: Taking taylor expansion of 0 in lambda2 1.970 * [taylor]: Taking taylor expansion of 0 in R 1.970 * [taylor]: Taking taylor expansion of 0 in R 1.970 * [taylor]: Taking taylor expansion of 0 in R 1.970 * [taylor]: Taking taylor expansion of 0 in R 1.972 * [taylor]: Taking taylor expansion of 0 in R 1.975 * * * [progress]: simplifying candidates 1.976 * [simplify]: Simplifying using # : (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (log (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))))) (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (log 1) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (/ PI 2))) (log (exp (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))))) (log (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (log (exp 1)) (log (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (exp (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))))) (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin 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(log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R) (+ (log (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (log R)) (log (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R)) (exp (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R)) (* (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (* (* R R) R)) (* (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R)) (* (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos 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lambda2))))))))) (sqrt R)) (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt R) (cbrt R))) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt R)) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) 1) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R) (* (log (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))))) R) (* (log (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) R) (* (log (exp 1)) R) (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) R) (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) R) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (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))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) (exp (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) 1.977 * [simplify]: Sending expressions to egg_math: (/ PI 2) (asin (+ (* (sin h0) (sin h1)) (+ (* (* (cos h0) (cos h1)) (* (cos h2) (cos h3))) (* (* (cos h0) (cos h1)) (* (sin h2) (sin h3)))))) (log (acos (+ (* (sin h0) (sin h1)) (+ (* (* (cos h0) (cos h1)) (* (cos h2) (cos h3))) (* (* (cos h0) (cos h1)) (* (sin h2) (sin h3))))))) (exp (acos (+ (* (sin h0) (sin h1)) (+ (* (* (cos h0) (cos h1)) (* (cos h2) (cos h3))) (* (* (cos h0) (cos h1)) (* (sin h2) (sin h3))))))) (* (cbrt (acos (+ (* (sin h0) (sin h1)) (+ (* (* (cos h0) (cos h1)) (* (cos h2) (cos h3))) (* (* (cos h0) (cos h1)) (* (sin h2) (sin h3))))))) (cbrt (acos (+ (* (sin h0) (sin h1)) (+ (* (* (cos h0) (cos h1)) (* (cos h2) (cos h3))) (* (* (cos h0) (cos h1)) (* (sin h2) (sin h3)))))))) (cbrt (acos (+ (* (sin h0) (sin h1)) (+ (* (* (cos h0) (cos h1)) (* (cos h2) (cos h3))) (* (* (cos 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1609 ) 1.993 * * [simplify]: iteration 2 : 887 enodes (cost 1605 ) 2.002 * * [simplify]: iteration 3 : 1241 enodes (cost 1605 ) 2.021 * * [simplify]: iteration 4 : 3498 enodes (cost 1601 ) 2.086 * * [simplify]: iteration 5 : 5001 enodes (cost 1601 ) 2.092 * [simplify]: Simplified to: (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin 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phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) 1/2) (* R (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (+ (log R) (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (+ (log R) (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (pow (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) R) (pow (* R (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) 3) (* (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R)) (pow (* R (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) 3) (sqrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R)) (sqrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (cbrt R)) (cbrt R)) (* (sqrt R) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (* R (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (* R (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) R) (* R (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) 2.092 * * * [progress]: adding candidates to table 2.409 * * [progress]: iteration 4 / 4 2.409 * * * [progress]: picking best candidate 2.495 * * * * [pick]: Picked # 2.495 * * * [progress]: localizing error 2.529 * * * [progress]: generating rewritten candidates 2.529 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 2.531 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 2.537 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2) 2.607 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 1) 2.634 * * * [progress]: generating series expansions 2.634 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 2.635 * [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 2.635 * [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 2.635 * [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 2.636 * [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 2.636 * [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 2.637 * [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 2.637 * [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 2.637 * [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 2.638 * [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 2.639 * [taylor]: Taking taylor expansion of 0 in phi2 2.639 * [taylor]: Taking taylor expansion of 0 in lambda1 2.639 * [taylor]: Taking taylor expansion of 0 in lambda2 2.639 * [taylor]: Taking taylor expansion of 0 in lambda1 2.639 * [taylor]: Taking taylor expansion of 0 in lambda2 2.639 * [taylor]: Taking taylor expansion of 0 in lambda2 2.639 * [taylor]: Taking taylor expansion of 0 in phi2 2.639 * [taylor]: Taking taylor expansion of 0 in lambda1 2.639 * [taylor]: Taking taylor expansion of 0 in lambda2 2.639 * [taylor]: Taking taylor expansion of 0 in lambda1 2.639 * [taylor]: Taking taylor expansion of 0 in lambda2 2.640 * [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 2.640 * [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 2.641 * [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 2.641 * [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 2.642 * [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 2.642 * [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 2.643 * [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 2.643 * [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 2.644 * [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 2.645 * [taylor]: Taking taylor expansion of 0 in phi2 2.645 * [taylor]: Taking taylor expansion of 0 in lambda1 2.645 * [taylor]: Taking taylor expansion of 0 in lambda2 2.645 * [taylor]: Taking taylor expansion of 0 in lambda1 2.645 * [taylor]: Taking taylor expansion of 0 in lambda2 2.645 * [taylor]: Taking taylor expansion of 0 in lambda2 2.645 * [taylor]: Taking taylor expansion of 0 in phi2 2.645 * [taylor]: Taking taylor expansion of 0 in lambda1 2.645 * [taylor]: Taking taylor expansion of 0 in lambda2 2.645 * [taylor]: Taking taylor expansion of 0 in lambda1 2.645 * [taylor]: Taking taylor expansion of 0 in lambda2 2.646 * [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 2.646 * [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 2.647 * [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 2.647 * [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 2.648 * [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 2.648 * [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 2.649 * [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 2.649 * [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 2.650 * [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 2.651 * [taylor]: Taking taylor expansion of 0 in phi2 2.651 * [taylor]: Taking taylor expansion of 0 in lambda1 2.651 * [taylor]: Taking taylor expansion of 0 in lambda2 2.651 * [taylor]: Taking taylor expansion of 0 in lambda1 2.651 * [taylor]: Taking taylor expansion of 0 in lambda2 2.651 * [taylor]: Taking taylor expansion of 0 in lambda2 2.651 * [taylor]: Taking taylor expansion of 0 in phi2 2.651 * [taylor]: Taking taylor expansion of 0 in lambda1 2.651 * [taylor]: Taking taylor expansion of 0 in lambda2 2.651 * [taylor]: Taking taylor expansion of 0 in lambda1 2.651 * [taylor]: Taking taylor expansion of 0 in lambda2 2.652 * * * * [progress]: [ 2 / 4 ] generating series at (2) 2.653 * [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 2.653 * [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 2.653 * [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 2.653 * [taylor]: Taking taylor expansion of R in R 2.653 * [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 2.653 * [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 2.654 * [taylor]: Taking taylor expansion of R in lambda2 2.654 * [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 2.654 * [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 2.654 * [taylor]: Taking taylor expansion of R in lambda1 2.654 * [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 2.654 * [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 2.654 * [taylor]: Taking taylor expansion of R in phi2 2.654 * [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 2.654 * [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 2.655 * [taylor]: Taking taylor expansion of R in phi1 2.655 * [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 2.655 * [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 2.655 * [taylor]: Taking taylor expansion of R in phi1 2.656 * [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 2.656 * [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 2.656 * [taylor]: Taking taylor expansion of R in phi2 2.656 * [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 2.656 * [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 2.657 * [taylor]: Taking taylor expansion of R in lambda1 2.657 * [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 2.657 * [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 2.658 * [taylor]: Taking taylor expansion of R in lambda2 2.658 * [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 2.658 * [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 2.658 * [taylor]: Taking taylor expansion of R in R 2.659 * [taylor]: Taking taylor expansion of 0 in phi2 2.659 * [taylor]: Taking taylor expansion of 0 in lambda1 2.659 * [taylor]: Taking taylor expansion of 0 in lambda2 2.659 * [taylor]: Taking taylor expansion of 0 in R 2.660 * [taylor]: Taking taylor expansion of 0 in lambda1 2.660 * [taylor]: Taking taylor expansion of 0 in lambda2 2.660 * [taylor]: Taking taylor expansion of 0 in R 2.660 * [taylor]: Taking taylor expansion of 0 in lambda2 2.660 * [taylor]: Taking taylor expansion of 0 in R 2.661 * [taylor]: Taking taylor expansion of 0 in R 2.663 * [taylor]: Taking taylor expansion of 0 in phi2 2.663 * [taylor]: Taking taylor expansion of 0 in lambda1 2.663 * [taylor]: Taking taylor expansion of 0 in lambda2 2.663 * [taylor]: Taking taylor expansion of 0 in R 2.663 * [taylor]: Taking taylor expansion of 0 in lambda1 2.663 * [taylor]: Taking taylor expansion of 0 in lambda2 2.663 * [taylor]: Taking taylor expansion of 0 in R 2.663 * [taylor]: Taking taylor expansion of 0 in lambda1 2.663 * [taylor]: Taking taylor expansion of 0 in lambda2 2.664 * [taylor]: Taking taylor expansion of 0 in R 2.664 * [taylor]: Taking taylor expansion of 0 in lambda2 2.664 * [taylor]: Taking taylor expansion of 0 in R 2.664 * [taylor]: Taking taylor expansion of 0 in lambda2 2.664 * [taylor]: Taking taylor expansion of 0 in R 2.664 * [taylor]: Taking taylor expansion of 0 in lambda2 2.664 * [taylor]: Taking taylor expansion of 0 in R 2.666 * [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 2.666 * [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 2.666 * [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 2.666 * [taylor]: Taking taylor expansion of R in R 2.667 * [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 2.667 * [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 2.667 * [taylor]: Taking taylor expansion of R in lambda2 2.668 * [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 2.668 * [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 2.668 * [taylor]: Taking taylor expansion of R in lambda1 2.669 * [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 2.669 * [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 2.669 * [taylor]: Taking taylor expansion of R in phi2 2.670 * [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 2.670 * [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 2.670 * [taylor]: Taking taylor expansion of R in phi1 2.671 * [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 2.671 * [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 2.671 * [taylor]: Taking taylor expansion of R in phi1 2.672 * [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 2.672 * [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 2.673 * [taylor]: Taking taylor expansion of R in phi2 2.673 * [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 2.673 * [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 2.674 * [taylor]: Taking taylor expansion of R in lambda1 2.674 * [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 2.674 * [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 2.675 * [taylor]: Taking taylor expansion of R in lambda2 2.675 * [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 2.675 * [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 2.676 * [taylor]: Taking taylor expansion of R in R 2.677 * [taylor]: Taking taylor expansion of 0 in phi2 2.677 * [taylor]: Taking taylor expansion of 0 in lambda1 2.677 * [taylor]: Taking taylor expansion of 0 in lambda2 2.677 * [taylor]: Taking taylor expansion of 0 in R 2.678 * [taylor]: Taking taylor expansion of 0 in lambda1 2.678 * [taylor]: Taking taylor expansion of 0 in lambda2 2.678 * [taylor]: Taking taylor expansion of 0 in R 2.679 * [taylor]: Taking taylor expansion of 0 in lambda2 2.679 * [taylor]: Taking taylor expansion of 0 in R 2.679 * [taylor]: Taking taylor expansion of 0 in R 2.681 * [taylor]: Taking taylor expansion of 0 in phi2 2.681 * [taylor]: Taking taylor expansion of 0 in lambda1 2.681 * [taylor]: Taking taylor expansion of 0 in lambda2 2.681 * [taylor]: Taking taylor expansion of 0 in R 2.681 * [taylor]: Taking taylor expansion of 0 in lambda1 2.681 * [taylor]: Taking taylor expansion of 0 in lambda2 2.681 * [taylor]: Taking taylor expansion of 0 in R 2.682 * [taylor]: Taking taylor expansion of 0 in lambda1 2.682 * [taylor]: Taking taylor expansion of 0 in lambda2 2.682 * [taylor]: Taking taylor expansion of 0 in R 2.682 * [taylor]: Taking taylor expansion of 0 in lambda2 2.682 * [taylor]: Taking taylor expansion of 0 in R 2.682 * [taylor]: Taking taylor expansion of 0 in lambda2 2.682 * [taylor]: Taking taylor expansion of 0 in R 2.683 * [taylor]: Taking taylor expansion of 0 in lambda2 2.683 * [taylor]: Taking taylor expansion of 0 in R 2.683 * [taylor]: Taking taylor expansion of 0 in R 2.683 * [taylor]: Taking taylor expansion of 0 in R 2.683 * [taylor]: Taking taylor expansion of 0 in R 2.684 * [taylor]: Taking taylor expansion of 0 in R 2.687 * [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 2.687 * [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 2.687 * [taylor]: Taking taylor expansion of -1 in R 2.687 * [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 2.687 * [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 2.687 * [taylor]: Taking taylor expansion of R in R 2.688 * [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 2.688 * [taylor]: Taking taylor expansion of -1 in lambda2 2.688 * [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 2.688 * [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 2.689 * [taylor]: Taking taylor expansion of R in lambda2 2.689 * [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 2.689 * [taylor]: Taking taylor expansion of -1 in lambda1 2.689 * [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 2.689 * [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 2.690 * [taylor]: Taking taylor expansion of R in lambda1 2.690 * [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 2.690 * [taylor]: Taking taylor expansion of -1 in phi2 2.690 * [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 2.690 * [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 2.691 * [taylor]: Taking taylor expansion of R in phi2 2.691 * [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 2.691 * [taylor]: Taking taylor expansion of -1 in phi1 2.691 * [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 2.691 * [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 2.692 * [taylor]: Taking taylor expansion of R in phi1 2.692 * [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 2.693 * [taylor]: Taking taylor expansion of -1 in phi1 2.693 * [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 2.693 * [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 2.693 * [taylor]: Taking taylor expansion of R in phi1 2.694 * [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 2.694 * [taylor]: Taking taylor expansion of -1 in phi2 2.694 * [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 2.694 * [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 2.695 * [taylor]: Taking taylor expansion of R in phi2 2.696 * [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 2.696 * [taylor]: Taking taylor expansion of -1 in lambda1 2.696 * [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 2.696 * [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 2.696 * [taylor]: Taking taylor expansion of R in lambda1 2.697 * [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 2.697 * [taylor]: Taking taylor expansion of -1 in lambda2 2.697 * [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 2.697 * [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 2.698 * [taylor]: Taking taylor expansion of R in lambda2 2.699 * [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 2.699 * [taylor]: Taking taylor expansion of -1 in R 2.699 * [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 2.699 * [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 2.700 * [taylor]: Taking taylor expansion of R in R 2.705 * [taylor]: Taking taylor expansion of 0 in phi2 2.705 * [taylor]: Taking taylor expansion of 0 in lambda1 2.705 * [taylor]: Taking taylor expansion of 0 in lambda2 2.705 * [taylor]: Taking taylor expansion of 0 in R 2.707 * [taylor]: Taking taylor expansion of 0 in lambda1 2.707 * [taylor]: Taking taylor expansion of 0 in lambda2 2.707 * [taylor]: Taking taylor expansion of 0 in R 2.708 * [taylor]: Taking taylor expansion of 0 in lambda2 2.708 * [taylor]: Taking taylor expansion of 0 in R 2.710 * [taylor]: Taking taylor expansion of 0 in R 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 R 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 R 2.715 * [taylor]: Taking taylor expansion of 0 in lambda1 2.715 * [taylor]: Taking taylor expansion of 0 in lambda2 2.715 * [taylor]: Taking taylor expansion of 0 in R 2.715 * [taylor]: Taking taylor expansion of 0 in lambda2 2.716 * [taylor]: Taking taylor expansion of 0 in R 2.716 * [taylor]: Taking taylor expansion of 0 in lambda2 2.716 * [taylor]: Taking taylor expansion of 0 in R 2.717 * [taylor]: Taking taylor expansion of 0 in lambda2 2.717 * [taylor]: Taking taylor expansion of 0 in R 2.717 * [taylor]: Taking taylor expansion of 0 in R 2.717 * [taylor]: Taking taylor expansion of 0 in R 2.717 * [taylor]: Taking taylor expansion of 0 in R 2.719 * [taylor]: Taking taylor expansion of 0 in R 2.722 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2) 2.723 * [approximate]: Taking taylor expansion of (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) in (phi1 phi2 lambda1 lambda2) around 0 2.723 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) in lambda2 2.723 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 2.723 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.723 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (sin lambda2))) in lambda2 2.723 * [taylor]: Taking taylor expansion of (cos phi1) in lambda2 2.723 * [taylor]: Taking taylor expansion of phi1 in lambda2 2.723 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in lambda2 2.723 * [taylor]: Taking taylor expansion of (cos phi2) in lambda2 2.723 * [taylor]: Taking taylor expansion of phi2 in lambda2 2.723 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 2.723 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.723 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) in lambda1 2.723 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.723 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.723 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (sin lambda2))) in lambda1 2.723 * [taylor]: Taking taylor expansion of (cos phi1) in lambda1 2.723 * [taylor]: Taking taylor expansion of phi1 in lambda1 2.723 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in lambda1 2.723 * [taylor]: Taking taylor expansion of (cos phi2) in lambda1 2.723 * [taylor]: Taking taylor expansion of phi2 in lambda1 2.723 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 2.723 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.723 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) in phi2 2.723 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 2.723 * [taylor]: Taking taylor expansion of lambda1 in phi2 2.723 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (sin lambda2))) in phi2 2.723 * [taylor]: Taking taylor expansion of (cos phi1) in phi2 2.723 * [taylor]: Taking taylor expansion of phi1 in phi2 2.723 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in phi2 2.723 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 2.724 * [taylor]: Taking taylor expansion of phi2 in phi2 2.724 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 2.724 * [taylor]: Taking taylor expansion of lambda2 in phi2 2.724 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) in phi1 2.724 * [taylor]: Taking taylor expansion of (sin lambda1) in phi1 2.724 * [taylor]: Taking taylor expansion of lambda1 in phi1 2.724 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (sin lambda2))) in phi1 2.724 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 2.724 * [taylor]: Taking taylor expansion of phi1 in phi1 2.724 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in phi1 2.724 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 2.724 * [taylor]: Taking taylor expansion of phi2 in phi1 2.724 * [taylor]: Taking taylor expansion of (sin lambda2) in phi1 2.724 * [taylor]: Taking taylor expansion of lambda2 in phi1 2.724 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) in phi1 2.724 * [taylor]: Taking taylor expansion of (sin lambda1) in phi1 2.724 * [taylor]: Taking taylor expansion of lambda1 in phi1 2.724 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (sin lambda2))) in phi1 2.724 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 2.724 * [taylor]: Taking taylor expansion of phi1 in phi1 2.724 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in phi1 2.724 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 2.724 * [taylor]: Taking taylor expansion of phi2 in phi1 2.724 * [taylor]: Taking taylor expansion of (sin lambda2) in phi1 2.724 * [taylor]: Taking taylor expansion of lambda2 in phi1 2.725 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi2) (sin lambda2))) in phi2 2.725 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 2.725 * [taylor]: Taking taylor expansion of lambda1 in phi2 2.725 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in phi2 2.725 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 2.725 * [taylor]: Taking taylor expansion of phi2 in phi2 2.725 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 2.725 * [taylor]: Taking taylor expansion of lambda2 in phi2 2.725 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 2.725 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.725 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.725 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 2.725 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.725 * [taylor]: Taking taylor expansion of 0 in lambda2 2.730 * [taylor]: Taking taylor expansion of 0 in phi2 2.730 * [taylor]: Taking taylor expansion of 0 in lambda1 2.730 * [taylor]: Taking taylor expansion of 0 in lambda2 2.733 * [taylor]: Taking taylor expansion of 0 in lambda1 2.733 * [taylor]: Taking taylor expansion of 0 in lambda2 2.735 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 2.735 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.743 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sin lambda1) (* (cos phi2) (sin lambda2))))) in phi2 2.743 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (* (cos phi2) (sin lambda2)))) in phi2 2.743 * [taylor]: Taking taylor expansion of 1/2 in phi2 2.743 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi2) (sin lambda2))) in phi2 2.743 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 2.743 * [taylor]: Taking taylor expansion of lambda1 in phi2 2.743 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in phi2 2.743 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 2.743 * [taylor]: Taking taylor expansion of phi2 in phi2 2.743 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 2.743 * [taylor]: Taking taylor expansion of lambda2 in phi2 2.744 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sin lambda1) (sin lambda2)))) in lambda1 2.744 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (sin lambda2))) in lambda1 2.744 * [taylor]: Taking taylor expansion of 1/2 in lambda1 2.744 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 2.744 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.744 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.744 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 2.744 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.744 * [taylor]: Taking taylor expansion of 0 in lambda2 2.745 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) in (phi1 phi2 lambda1 lambda2) around 0 2.745 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) in lambda2 2.745 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 2.745 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.745 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.745 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in lambda2 2.745 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 2.745 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.745 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.745 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in lambda2 2.745 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 2.745 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 2.745 * [taylor]: Taking taylor expansion of phi2 in lambda2 2.745 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 2.745 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 2.745 * [taylor]: Taking taylor expansion of phi1 in lambda2 2.745 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) in lambda1 2.745 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 2.745 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.745 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.746 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in lambda1 2.746 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 2.746 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.746 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.746 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in lambda1 2.746 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 2.746 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 2.746 * [taylor]: Taking taylor expansion of phi2 in lambda1 2.746 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 2.746 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 2.746 * [taylor]: Taking taylor expansion of phi1 in lambda1 2.746 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) in phi2 2.746 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi2 2.746 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 2.746 * [taylor]: Taking taylor expansion of lambda1 in phi2 2.746 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in phi2 2.746 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi2 2.746 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 2.746 * [taylor]: Taking taylor expansion of lambda2 in phi2 2.746 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in phi2 2.746 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 2.746 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.746 * [taylor]: Taking taylor expansion of phi2 in phi2 2.747 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 2.747 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.747 * [taylor]: Taking taylor expansion of phi1 in phi2 2.747 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) in phi1 2.747 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi1 2.747 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 2.747 * [taylor]: Taking taylor expansion of lambda1 in phi1 2.747 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in phi1 2.747 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi1 2.747 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 2.747 * [taylor]: Taking taylor expansion of lambda2 in phi1 2.747 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in phi1 2.747 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 2.747 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.747 * [taylor]: Taking taylor expansion of phi2 in phi1 2.747 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 2.747 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.747 * [taylor]: Taking taylor expansion of phi1 in phi1 2.747 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) in phi1 2.747 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi1 2.747 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 2.747 * [taylor]: Taking taylor expansion of lambda1 in phi1 2.748 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in phi1 2.748 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi1 2.748 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 2.748 * [taylor]: Taking taylor expansion of lambda2 in phi1 2.748 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in phi1 2.748 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 2.748 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.748 * [taylor]: Taking taylor expansion of phi2 in phi1 2.748 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 2.748 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.748 * [taylor]: Taking taylor expansion of phi1 in phi1 2.749 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) in phi2 2.749 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi2 2.749 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 2.749 * [taylor]: Taking taylor expansion of lambda1 in phi2 2.749 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1)))) in phi2 2.749 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 2.749 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.749 * [taylor]: Taking taylor expansion of phi2 in phi2 2.749 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))) in phi2 2.750 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi2 2.750 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 2.750 * [taylor]: Taking taylor expansion of lambda2 in phi2 2.750 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 2.750 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.750 * [taylor]: Taking taylor expansion of phi1 in phi2 2.751 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) in lambda1 2.751 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 2.751 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.751 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.751 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in lambda1 2.751 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 2.751 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.751 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.751 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in lambda1 2.751 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 2.751 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 2.751 * [taylor]: Taking taylor expansion of phi2 in lambda1 2.751 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 2.751 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 2.751 * [taylor]: Taking taylor expansion of phi1 in lambda1 2.752 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) in lambda2 2.752 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 2.752 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.752 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.752 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1)))) in lambda2 2.752 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 2.752 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 2.753 * [taylor]: Taking taylor expansion of phi2 in lambda2 2.753 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))) in lambda2 2.753 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 2.753 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.753 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.753 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 2.753 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 2.753 * [taylor]: Taking taylor expansion of phi1 in lambda2 2.759 * [taylor]: Taking taylor expansion of 0 in phi2 2.759 * [taylor]: Taking taylor expansion of 0 in lambda1 2.759 * [taylor]: Taking taylor expansion of 0 in lambda2 2.764 * [taylor]: Taking taylor expansion of 0 in lambda1 2.764 * [taylor]: Taking taylor expansion of 0 in lambda2 2.769 * [taylor]: Taking taylor expansion of 0 in lambda2 2.781 * [taylor]: Taking taylor expansion of 0 in phi2 2.781 * [taylor]: Taking taylor expansion of 0 in lambda1 2.781 * [taylor]: Taking taylor expansion of 0 in lambda2 2.781 * [taylor]: Taking taylor expansion of 0 in lambda1 2.781 * [taylor]: Taking taylor expansion of 0 in lambda2 2.782 * [approximate]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in (phi1 phi2 lambda1 lambda2) around 0 2.782 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in lambda2 2.782 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 2.782 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 2.782 * [taylor]: Taking taylor expansion of -1 in lambda2 2.782 * [taylor]: Taking taylor expansion of phi1 in lambda2 2.782 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in lambda2 2.782 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 2.782 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.782 * [taylor]: Taking taylor expansion of -1 in lambda2 2.782 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.782 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in lambda2 2.782 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 2.782 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 2.782 * [taylor]: Taking taylor expansion of -1 in lambda2 2.782 * [taylor]: Taking taylor expansion of phi2 in lambda2 2.782 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 2.782 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 2.782 * [taylor]: Taking taylor expansion of -1 in lambda2 2.782 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.783 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in lambda1 2.783 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 2.783 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 2.783 * [taylor]: Taking taylor expansion of -1 in lambda1 2.783 * [taylor]: Taking taylor expansion of phi1 in lambda1 2.783 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in lambda1 2.783 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 2.783 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.783 * [taylor]: Taking taylor expansion of -1 in lambda1 2.783 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.783 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in lambda1 2.783 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 2.783 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 2.783 * [taylor]: Taking taylor expansion of -1 in lambda1 2.783 * [taylor]: Taking taylor expansion of phi2 in lambda1 2.783 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 2.783 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 2.783 * [taylor]: Taking taylor expansion of -1 in lambda1 2.783 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.783 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in phi2 2.783 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 2.783 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.784 * [taylor]: Taking taylor expansion of -1 in phi2 2.784 * [taylor]: Taking taylor expansion of phi1 in phi2 2.784 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in phi2 2.784 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi2 2.784 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 2.784 * [taylor]: Taking taylor expansion of -1 in phi2 2.784 * [taylor]: Taking taylor expansion of lambda1 in phi2 2.784 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in phi2 2.784 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 2.784 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.784 * [taylor]: Taking taylor expansion of -1 in phi2 2.784 * [taylor]: Taking taylor expansion of phi2 in phi2 2.784 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi2 2.784 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 2.784 * [taylor]: Taking taylor expansion of -1 in phi2 2.784 * [taylor]: Taking taylor expansion of lambda2 in phi2 2.784 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in phi1 2.784 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 2.784 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.784 * [taylor]: Taking taylor expansion of -1 in phi1 2.784 * [taylor]: Taking taylor expansion of phi1 in phi1 2.785 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in phi1 2.785 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi1 2.785 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 2.785 * [taylor]: Taking taylor expansion of -1 in phi1 2.785 * [taylor]: Taking taylor expansion of lambda1 in phi1 2.785 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in phi1 2.785 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 2.785 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.785 * [taylor]: Taking taylor expansion of -1 in phi1 2.785 * [taylor]: Taking taylor expansion of phi2 in phi1 2.785 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi1 2.785 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 2.785 * [taylor]: Taking taylor expansion of -1 in phi1 2.785 * [taylor]: Taking taylor expansion of lambda2 in phi1 2.785 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in phi1 2.785 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 2.785 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.785 * [taylor]: Taking taylor expansion of -1 in phi1 2.785 * [taylor]: Taking taylor expansion of phi1 in phi1 2.786 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in phi1 2.786 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi1 2.786 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 2.786 * [taylor]: Taking taylor expansion of -1 in phi1 2.786 * [taylor]: Taking taylor expansion of lambda1 in phi1 2.786 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in phi1 2.786 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 2.786 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.786 * [taylor]: Taking taylor expansion of -1 in phi1 2.786 * [taylor]: Taking taylor expansion of phi2 in phi1 2.786 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi1 2.786 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 2.786 * [taylor]: Taking taylor expansion of -1 in phi1 2.786 * [taylor]: Taking taylor expansion of lambda2 in phi1 2.787 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in phi2 2.787 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 2.787 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.787 * [taylor]: Taking taylor expansion of -1 in phi2 2.787 * [taylor]: Taking taylor expansion of phi1 in phi2 2.787 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in phi2 2.787 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi2 2.787 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 2.787 * [taylor]: Taking taylor expansion of -1 in phi2 2.787 * [taylor]: Taking taylor expansion of lambda1 in phi2 2.787 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in phi2 2.787 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 2.787 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.787 * [taylor]: Taking taylor expansion of -1 in phi2 2.787 * [taylor]: Taking taylor expansion of phi2 in phi2 2.788 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi2 2.788 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 2.788 * [taylor]: Taking taylor expansion of -1 in phi2 2.788 * [taylor]: Taking taylor expansion of lambda2 in phi2 2.789 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in lambda1 2.789 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 2.789 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 2.789 * [taylor]: Taking taylor expansion of -1 in lambda1 2.789 * [taylor]: Taking taylor expansion of phi1 in lambda1 2.789 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in lambda1 2.789 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 2.789 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.789 * [taylor]: Taking taylor expansion of -1 in lambda1 2.789 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.789 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in lambda1 2.789 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 2.789 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 2.789 * [taylor]: Taking taylor expansion of -1 in lambda1 2.789 * [taylor]: Taking taylor expansion of phi2 in lambda1 2.789 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 2.789 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 2.789 * [taylor]: Taking taylor expansion of -1 in lambda1 2.789 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.791 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in lambda2 2.791 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 2.791 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 2.791 * [taylor]: Taking taylor expansion of -1 in lambda2 2.791 * [taylor]: Taking taylor expansion of phi1 in lambda2 2.791 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in lambda2 2.791 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 2.791 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.791 * [taylor]: Taking taylor expansion of -1 in lambda2 2.791 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.791 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in lambda2 2.791 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 2.791 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 2.791 * [taylor]: Taking taylor expansion of -1 in lambda2 2.791 * [taylor]: Taking taylor expansion of phi2 in lambda2 2.791 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 2.791 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 2.791 * [taylor]: Taking taylor expansion of -1 in lambda2 2.791 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.800 * [taylor]: Taking taylor expansion of 0 in phi2 2.800 * [taylor]: Taking taylor expansion of 0 in lambda1 2.801 * [taylor]: Taking taylor expansion of 0 in lambda2 2.805 * [taylor]: Taking taylor expansion of 0 in lambda1 2.805 * [taylor]: Taking taylor expansion of 0 in lambda2 2.810 * [taylor]: Taking taylor expansion of 0 in lambda2 2.822 * [taylor]: Taking taylor expansion of 0 in phi2 2.822 * [taylor]: Taking taylor expansion of 0 in lambda1 2.822 * [taylor]: Taking taylor expansion of 0 in lambda2 2.822 * [taylor]: Taking taylor expansion of 0 in lambda1 2.822 * [taylor]: Taking taylor expansion of 0 in lambda2 2.823 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 1) 2.823 * [approximate]: Taking taylor expansion of (* (sin lambda1) (* (cos phi1) (cos phi2))) in (phi1 phi2 lambda1) around 0 2.823 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi1) (cos phi2))) in lambda1 2.823 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.823 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.823 * [taylor]: Taking taylor expansion of (* (cos phi1) (cos phi2)) in lambda1 2.823 * [taylor]: Taking taylor expansion of (cos phi1) in lambda1 2.823 * [taylor]: Taking taylor expansion of phi1 in lambda1 2.823 * [taylor]: Taking taylor expansion of (cos phi2) in lambda1 2.823 * [taylor]: Taking taylor expansion of phi2 in lambda1 2.823 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi1) (cos phi2))) in phi2 2.823 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 2.823 * [taylor]: Taking taylor expansion of lambda1 in phi2 2.823 * [taylor]: Taking taylor expansion of (* (cos phi1) (cos phi2)) in phi2 2.823 * [taylor]: Taking taylor expansion of (cos phi1) in phi2 2.823 * [taylor]: Taking taylor expansion of phi1 in phi2 2.823 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 2.823 * [taylor]: Taking taylor expansion of phi2 in phi2 2.823 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi1) (cos phi2))) in phi1 2.823 * [taylor]: Taking taylor expansion of (sin lambda1) in phi1 2.823 * [taylor]: Taking taylor expansion of lambda1 in phi1 2.823 * [taylor]: Taking taylor expansion of (* (cos phi1) (cos phi2)) in phi1 2.823 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 2.823 * [taylor]: Taking taylor expansion of phi1 in phi1 2.823 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 2.823 * [taylor]: Taking taylor expansion of phi2 in phi1 2.824 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi1) (cos phi2))) in phi1 2.824 * [taylor]: Taking taylor expansion of (sin lambda1) in phi1 2.824 * [taylor]: Taking taylor expansion of lambda1 in phi1 2.824 * [taylor]: Taking taylor expansion of (* (cos phi1) (cos phi2)) in phi1 2.824 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 2.824 * [taylor]: Taking taylor expansion of phi1 in phi1 2.824 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 2.824 * [taylor]: Taking taylor expansion of phi2 in phi1 2.824 * [taylor]: Taking taylor expansion of (* (sin lambda1) (cos phi2)) in phi2 2.824 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 2.824 * [taylor]: Taking taylor expansion of lambda1 in phi2 2.824 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 2.824 * [taylor]: Taking taylor expansion of phi2 in phi2 2.825 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.825 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.828 * [taylor]: Taking taylor expansion of 0 in phi2 2.828 * [taylor]: Taking taylor expansion of 0 in lambda1 2.830 * [taylor]: Taking taylor expansion of 0 in lambda1 2.836 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sin lambda1) (cos phi2)))) in phi2 2.836 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (cos phi2))) in phi2 2.836 * [taylor]: Taking taylor expansion of 1/2 in phi2 2.836 * [taylor]: Taking taylor expansion of (* (sin lambda1) (cos phi2)) in phi2 2.836 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 2.836 * [taylor]: Taking taylor expansion of lambda1 in phi2 2.836 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 2.836 * [taylor]: Taking taylor expansion of phi2 in phi2 2.836 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin lambda1))) in lambda1 2.836 * [taylor]: Taking taylor expansion of (* 1/2 (sin lambda1)) in lambda1 2.836 * [taylor]: Taking taylor expansion of 1/2 in lambda1 2.836 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.836 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.837 * [taylor]: Taking taylor expansion of 0 in lambda1 2.839 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin lambda1))) in lambda1 2.839 * [taylor]: Taking taylor expansion of (* 1/2 (sin lambda1)) in lambda1 2.839 * [taylor]: Taking taylor expansion of 1/2 in lambda1 2.839 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.839 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.841 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in (phi1 phi2 lambda1) around 0 2.841 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in lambda1 2.841 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 2.841 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.841 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.841 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in lambda1 2.841 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 2.841 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 2.841 * [taylor]: Taking taylor expansion of phi2 in lambda1 2.841 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 2.842 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 2.842 * [taylor]: Taking taylor expansion of phi1 in lambda1 2.842 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in phi2 2.842 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi2 2.842 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 2.842 * [taylor]: Taking taylor expansion of lambda1 in phi2 2.842 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in phi2 2.842 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 2.842 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.842 * [taylor]: Taking taylor expansion of phi2 in phi2 2.842 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 2.842 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.842 * [taylor]: Taking taylor expansion of phi1 in phi2 2.842 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in phi1 2.842 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi1 2.842 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 2.842 * [taylor]: Taking taylor expansion of lambda1 in phi1 2.842 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in phi1 2.842 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 2.842 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.842 * [taylor]: Taking taylor expansion of phi2 in phi1 2.842 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 2.842 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.843 * [taylor]: Taking taylor expansion of phi1 in phi1 2.843 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in phi1 2.843 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi1 2.843 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 2.843 * [taylor]: Taking taylor expansion of lambda1 in phi1 2.843 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in phi1 2.843 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 2.843 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.843 * [taylor]: Taking taylor expansion of phi2 in phi1 2.843 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 2.843 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.843 * [taylor]: Taking taylor expansion of phi1 in phi1 2.844 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in phi2 2.844 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi2 2.844 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 2.844 * [taylor]: Taking taylor expansion of lambda1 in phi2 2.844 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in phi2 2.844 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 2.844 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.844 * [taylor]: Taking taylor expansion of phi2 in phi2 2.844 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 2.844 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.845 * [taylor]: Taking taylor expansion of phi1 in phi2 2.845 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in lambda1 2.845 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 2.845 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.845 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.846 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in lambda1 2.846 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 2.846 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 2.846 * [taylor]: Taking taylor expansion of phi2 in lambda1 2.846 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 2.846 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 2.846 * [taylor]: Taking taylor expansion of phi1 in lambda1 2.850 * [taylor]: Taking taylor expansion of 0 in phi2 2.850 * [taylor]: Taking taylor expansion of 0 in lambda1 2.853 * [taylor]: Taking taylor expansion of 0 in lambda1 2.861 * [taylor]: Taking taylor expansion of 0 in phi2 2.861 * [taylor]: Taking taylor expansion of 0 in lambda1 2.861 * [taylor]: Taking taylor expansion of 0 in lambda1 2.866 * [taylor]: Taking taylor expansion of 0 in lambda1 2.866 * [approximate]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (cos (/ -1 phi2)))) in (phi1 phi2 lambda1) around 0 2.866 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (cos (/ -1 phi2)))) in lambda1 2.866 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 2.866 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 2.866 * [taylor]: Taking taylor expansion of -1 in lambda1 2.866 * [taylor]: Taking taylor expansion of phi1 in lambda1 2.866 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (cos (/ -1 phi2))) 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 -1 in lambda1 2.866 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.867 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 2.867 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 2.867 * [taylor]: Taking taylor expansion of -1 in lambda1 2.867 * [taylor]: Taking taylor expansion of phi2 in lambda1 2.867 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (cos (/ -1 phi2)))) in phi2 2.867 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 2.867 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.867 * [taylor]: Taking taylor expansion of -1 in phi2 2.867 * [taylor]: Taking taylor expansion of phi1 in phi2 2.867 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (cos (/ -1 phi2))) in phi2 2.867 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi2 2.867 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 2.867 * [taylor]: Taking taylor expansion of -1 in phi2 2.867 * [taylor]: Taking taylor expansion of lambda1 in phi2 2.867 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 2.867 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.867 * [taylor]: Taking taylor expansion of -1 in phi2 2.867 * [taylor]: Taking taylor expansion of phi2 in phi2 2.867 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (cos (/ -1 phi2)))) in phi1 2.867 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 2.867 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.868 * [taylor]: Taking taylor expansion of -1 in phi1 2.868 * [taylor]: Taking taylor expansion of phi1 in phi1 2.868 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (cos (/ -1 phi2))) in phi1 2.868 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi1 2.868 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 2.868 * [taylor]: Taking taylor expansion of -1 in phi1 2.868 * [taylor]: Taking taylor expansion of lambda1 in phi1 2.868 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 2.868 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.868 * [taylor]: Taking taylor expansion of -1 in phi1 2.868 * [taylor]: Taking taylor expansion of phi2 in phi1 2.868 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (cos (/ -1 phi2)))) in phi1 2.868 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 2.868 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.868 * [taylor]: Taking taylor expansion of -1 in phi1 2.868 * [taylor]: Taking taylor expansion of phi1 in phi1 2.868 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (cos (/ -1 phi2))) in phi1 2.869 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi1 2.869 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 2.869 * [taylor]: Taking taylor expansion of -1 in phi1 2.869 * [taylor]: Taking taylor expansion of lambda1 in phi1 2.869 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 2.869 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.869 * [taylor]: Taking taylor expansion of -1 in phi1 2.869 * [taylor]: Taking taylor expansion of phi2 in phi1 2.869 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (cos (/ -1 phi2)))) in phi2 2.869 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 2.870 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.870 * [taylor]: Taking taylor expansion of -1 in phi2 2.870 * [taylor]: Taking taylor expansion of phi1 in phi2 2.870 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (cos (/ -1 phi2))) in phi2 2.870 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi2 2.870 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 2.870 * [taylor]: Taking taylor expansion of -1 in phi2 2.870 * [taylor]: Taking taylor expansion of lambda1 in phi2 2.870 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 2.870 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.870 * [taylor]: Taking taylor expansion of -1 in phi2 2.870 * [taylor]: Taking taylor expansion of phi2 in phi2 2.871 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (cos (/ -1 phi2)))) in lambda1 2.871 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 2.871 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 2.871 * [taylor]: Taking taylor expansion of -1 in lambda1 2.871 * [taylor]: Taking taylor expansion of phi1 in lambda1 2.871 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (cos (/ -1 phi2))) in lambda1 2.871 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 2.871 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.871 * [taylor]: Taking taylor expansion of -1 in lambda1 2.871 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.871 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 2.871 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 2.871 * [taylor]: Taking taylor expansion of -1 in lambda1 2.871 * [taylor]: Taking taylor expansion of phi2 in lambda1 2.876 * [taylor]: Taking taylor expansion of 0 in phi2 2.876 * [taylor]: Taking taylor expansion of 0 in lambda1 2.879 * [taylor]: Taking taylor expansion of 0 in lambda1 2.887 * [taylor]: Taking taylor expansion of 0 in phi2 2.887 * [taylor]: Taking taylor expansion of 0 in lambda1 2.887 * [taylor]: Taking taylor expansion of 0 in lambda1 2.895 * [taylor]: Taking taylor expansion of 0 in lambda1 2.895 * * * [progress]: simplifying candidates 2.896 * [simplify]: Simplifying using # : (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2))))) (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2)))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2)))))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2)))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2)))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2)))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2))))) R) (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2)) (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2)) (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2)) (+ (+ (+ (log (cos phi1)) (log (cos phi2))) (log (sin lambda1))) (log (sin lambda2))) (+ (+ (log (* (cos phi1) (cos phi2))) (log (sin lambda1))) (log (sin lambda2))) (+ (log (* (* (cos phi1) (cos phi2)) (sin lambda1))) (log (sin lambda2))) (log (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2))) (exp (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2))) (* (* (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))) (* (* (sin lambda1) (sin lambda1)) (sin lambda1))) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))) (* (* (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda1)) (sin lambda1))) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))) (* (* (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (* (* (cos phi1) (cos phi2)) (sin lambda1))) (* (* (cos phi1) (cos phi2)) (sin lambda1))) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))) (* (cbrt (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2))) (cbrt (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2)))) (cbrt (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2))) (* (* (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2)) (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2))) (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2))) (sqrt (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2))) (sqrt (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2))) (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sqrt (sin lambda2))) (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) 1) (* (sin lambda1) (sin lambda2)) (* (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (sin lambda1)) (sin lambda2)) (* (* (cos phi1) (cos phi2)) (sin lambda1)) (* (* (cos phi1) (cos phi2)) (sin lambda1)) (+ (+ (log (cos phi1)) (log (cos phi2))) (log (sin lambda1))) (+ (log (* (cos phi1) (cos phi2))) (log (sin lambda1))) (log (* (* (cos phi1) (cos phi2)) (sin lambda1))) (exp (* (* (cos phi1) (cos phi2)) (sin lambda1))) (* (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))) (* (* (sin lambda1) (sin lambda1)) (sin lambda1))) (* (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda1)) (sin lambda1))) (* (cbrt (* (* (cos phi1) (cos phi2)) (sin lambda1))) (cbrt (* (* (cos phi1) (cos phi2)) (sin lambda1)))) (cbrt (* (* (cos phi1) (cos phi2)) (sin lambda1))) (* (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (* (* (cos phi1) (cos phi2)) (sin lambda1))) (* (* (cos phi1) (cos phi2)) (sin lambda1))) (sqrt (* (* (cos phi1) (cos phi2)) (sin lambda1))) (sqrt (* (* (cos phi1) (cos phi2)) (sin lambda1))) (* (* (cos phi1) (cos phi2)) (* (cbrt (sin lambda1)) (cbrt (sin lambda1)))) (* (* (cos phi1) (cos phi2)) (sqrt (sin lambda1))) (* (* (cos phi1) (cos phi2)) 1) (* (cos phi2) (sin lambda1)) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (sin lambda1)) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) 0 (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) lambda1 (* (sin lambda1) (* (cos phi1) (cos phi2))) (* (sin lambda1) (* (cos phi1) (cos phi2))) 2.897 * [simplify]: Sending expressions to egg_math: (/ PI 2) (asin (+ (* (sin h0) (sin h1)) (+ (* (* (cos h0) (cos h1)) (* (cos h2) (cos h3))) (* (* (* (cos h0) (cos h1)) (sin h2)) (sin h3))))) (log (acos (+ (* (sin h0) (sin h1)) (+ (* (* (cos h0) (cos h1)) (* (cos h2) (cos h3))) (* (* (* (cos h0) (cos h1)) (sin h2)) (sin h3)))))) (exp (acos (+ (* (sin h0) (sin h1)) (+ (* (* (cos h0) (cos h1)) (* (cos h2) (cos h3))) (* (* (* (cos h0) (cos h1)) (sin h2)) (sin h3)))))) (* (cbrt (acos (+ (* (sin h0) (sin h1)) (+ (* (* (cos h0) (cos h1)) (* (cos h2) (cos h3))) (* (* (* (cos h0) (cos h1)) (sin h2)) (sin h3)))))) (cbrt (acos (+ (* (sin h0) (sin h1)) (+ (* (* (cos h0) (cos h1)) (* (cos h2) (cos h3))) (* (* (* (cos h0) (cos h1)) (sin h2)) (sin h3))))))) (cbrt (acos (+ (* (sin h0) (sin h1)) (+ (* (* (cos h0) (cos h1)) (* (cos h2) (cos h3))) (* (* (* (cos h0) (cos h1)) (sin h2)) (sin h3)))))) (* (* (acos (+ (* (sin h0) (sin h1)) (+ (* (* (cos h0) (cos h1)) (* (cos h2) (cos h3))) (* (* (* (cos h0) (cos h1)) (sin h2)) (sin h3))))) (acos (+ (* (sin h0) (sin h1)) (+ (* (* (cos h0) (cos h1)) (* (cos h2) (cos h3))) (* (* (* (cos h0) (cos h1)) (sin h2)) (sin h3)))))) (acos (+ (* (sin h0) (sin h1)) (+ (* (* (cos h0) (cos h1)) (* (cos h2) (cos h3))) (* (* (* (cos h0) (cos h1)) (sin h2)) (sin h3)))))) (sqrt (acos (+ (* (sin h0) (sin h1)) (+ (* (* (cos h0) (cos h1)) (* (cos h2) (cos h3))) (* (* (* (cos h0) (cos h1)) (sin h2)) (sin h3)))))) (sqrt (acos (+ (* (sin h0) (sin h1)) (+ (* (* (cos h0) (cos h1)) (* (cos h2) (cos h3))) (* (* (* (cos h0) (cos h1)) (sin h2)) (sin h3)))))) (* (acos (+ (* (sin h0) (sin h1)) (+ (* (* (cos h0) (cos h1)) (* (cos h2) (cos h3))) (* (* (* (cos h0) (cos h1)) (sin h2)) (sin h3))))) h4) (+ (log (acos (+ (* (sin h0) (sin h1)) (+ (* (* (cos h0) (cos h1)) (* (cos h2) (cos h3))) (* (* (* (cos h0) (cos h1)) (sin h2)) (sin h3)))))) (log h4)) (log (* (acos (+ (* (sin h0) (sin h1)) (+ (* (* (cos h0) (cos h1)) (* (cos h2) (cos h3))) (* (* (* (cos h0) (cos h1)) (sin h2)) (sin h3))))) h4)) (exp (* (acos (+ (* (sin h0) (sin h1)) (+ (* (* (cos h0) (cos h1)) (* (cos h2) (cos h3))) (* (* (* (cos h0) (cos h1)) (sin h2)) (sin h3))))) h4)) (* (* (* (acos (+ (* (sin h0) (sin h1)) (+ (* (* (cos h0) (cos h1)) (* (cos h2) (cos h3))) (* (* (* (cos h0) (cos h1)) (sin h2)) (sin h3))))) (acos (+ (* (sin h0) (sin h1)) (+ (* (* (cos h0) (cos h1)) (* (cos h2) (cos h3))) (* (* (* (cos h0) (cos h1)) (sin h2)) (sin h3)))))) (acos (+ (* (sin h0) (sin h1)) (+ (* (* (cos h0) (cos h1)) (* (cos h2) (cos h3))) (* (* (* (cos h0) (cos h1)) (sin h2)) (sin h3)))))) (* (* h4 h4) h4)) (* (cbrt (* (acos (+ (* (sin h0) (sin h1)) (+ (* (* (cos h0) (cos h1)) (* (cos h2) (cos h3))) (* (* (* (cos h0) (cos h1)) (sin h2)) (sin h3))))) h4)) (cbrt (* (acos (+ (* (sin h0) (sin h1)) (+ (* (* (cos h0) (cos h1)) (* (cos h2) (cos h3))) (* (* (* (cos h0) (cos h1)) (sin h2)) (sin h3))))) h4))) (cbrt (* (acos (+ (* (sin h0) (sin h1)) (+ (* (* (cos h0) (cos h1)) (* (cos h2) (cos h3))) (* (* (* (cos h0) (cos h1)) (sin h2)) (sin h3))))) h4)) (* (* (* (acos (+ (* (sin h0) (sin h1)) (+ (* (* (cos h0) (cos h1)) (* (cos h2) (cos h3))) (* (* (* (cos h0) (cos h1)) (sin h2)) (sin h3))))) h4) (* (acos (+ (* (sin h0) (sin h1)) (+ (* (* (cos h0) (cos h1)) (* (cos h2) (cos h3))) (* (* (* (cos h0) (cos h1)) (sin h2)) (sin h3))))) h4)) (* (acos (+ (* (sin h0) (sin h1)) (+ (* (* (cos h0) (cos h1)) (* (cos h2) (cos h3))) (* (* (* (cos h0) (cos h1)) (sin h2)) (sin h3))))) h4)) (sqrt (* (acos (+ (* (sin h0) (sin h1)) (+ (* (* (cos h0) (cos h1)) (* (cos h2) (cos h3))) (* (* (* (cos h0) (cos h1)) (sin h2)) (sin h3))))) h4)) (sqrt (* (acos (+ (* (sin h0) (sin h1)) (+ (* (* (cos h0) (cos h1)) (* (cos h2) (cos h3))) (* (* (* (cos h0) (cos h1)) (sin h2)) (sin h3))))) h4)) (* (sqrt (acos (+ (* (sin h0) (sin h1)) (+ (* (* (cos h0) (cos h1)) (* (cos h2) (cos h3))) (* (* (* (cos h0) (cos h1)) (sin h2)) (sin h3)))))) (sqrt h4)) (* (sqrt (acos (+ (* (sin h0) (sin h1)) (+ (* (* (cos h0) (cos h1)) (* (cos h2) (cos h3))) (* (* (* (cos h0) (cos h1)) (sin h2)) (sin h3)))))) (sqrt h4)) (* (acos (+ (* (sin h0) (sin h1)) (+ (* (* (cos h0) (cos h1)) (* (cos h2) (cos h3))) (* (* (* (cos h0) (cos h1)) (sin h2)) (sin h3))))) (* (cbrt h4) (cbrt h4))) (* (acos (+ (* (sin h0) (sin h1)) (+ (* (* (cos h0) (cos h1)) (* (cos h2) (cos h3))) (* (* (* (cos h0) (cos h1)) (sin h2)) (sin h3))))) (sqrt h4)) (* (acos (+ (* (sin h0) (sin h1)) (+ (* (* (cos h0) (cos h1)) (* (cos h2) (cos h3))) (* (* (* (cos h0) (cos h1)) (sin h2)) (sin h3))))) 1) (* (cbrt (acos (+ (* (sin h0) (sin h1)) (+ (* (* (cos h0) (cos h1)) (* (cos h2) (cos h3))) (* (* (* (cos h0) (cos h1)) (sin h2)) (sin h3)))))) h4) (* (sqrt (acos (+ (* (sin h0) (sin h1)) (+ (* (* (cos h0) (cos h1)) (* (cos h2) (cos h3))) (* (* (* (cos h0) (cos h1)) (sin h2)) (sin h3)))))) h4) (* (acos (+ (* (sin h0) (sin h1)) (+ (* (* (cos h0) (cos h1)) (* (cos h2) (cos h3))) (* (* (* (cos h0) (cos h1)) (sin h2)) (sin h3))))) h4) (* (* (* (cos h0) (cos h1)) (sin h2)) (sin h3)) (* (* (* (cos h0) (cos h1)) (sin h2)) (sin h3)) (* (* (* (cos h0) (cos h1)) (sin h2)) (sin h3)) (+ (+ (+ (log (cos h0)) (log (cos h1))) (log (sin h2))) (log (sin h3))) (+ (+ (log (* (cos h0) (cos h1))) (log (sin h2))) (log (sin h3))) (+ (log (* (* (cos h0) (cos h1)) (sin h2))) (log (sin h3))) (log (* (* (* (cos h0) (cos h1)) (sin h2)) (sin h3))) (exp (* (* (* (cos h0) (cos h1)) (sin h2)) (sin h3))) (* (* (* (* (* (cos h0) (cos h0)) (cos h0)) (* (* (cos h1) (cos h1)) (cos h1))) (* (* (sin h2) (sin h2)) (sin h2))) (* (* (sin h3) (sin h3)) (sin h3))) (* (* (* (* (* (cos h0) (cos h1)) (* (cos h0) (cos h1))) (* (cos h0) (cos h1))) (* (* (sin h2) (sin h2)) (sin h2))) (* (* (sin h3) (sin h3)) (sin h3))) (* (* (* (* (* (cos h0) (cos h1)) (sin h2)) (* (* (cos h0) (cos h1)) (sin h2))) (* (* (cos h0) (cos h1)) (sin h2))) (* (* (sin h3) (sin h3)) (sin h3))) (* (cbrt (* (* (* (cos h0) (cos h1)) (sin h2)) (sin h3))) (cbrt (* (* (* (cos h0) (cos h1)) (sin h2)) (sin h3)))) (cbrt (* (* (* (cos h0) (cos h1)) (sin h2)) (sin h3))) (* (* (* (* (* (cos h0) (cos h1)) (sin h2)) (sin h3)) (* (* (* (cos h0) (cos h1)) (sin h2)) (sin h3))) (* (* (* (cos h0) (cos h1)) (sin h2)) (sin h3))) (sqrt (* (* (* (cos h0) (cos h1)) (sin h2)) (sin h3))) (sqrt (* (* (* (cos h0) (cos h1)) (sin h2)) (sin h3))) (* (* (* (cos h0) (cos h1)) (sin h2)) (* (cbrt (sin h3)) (cbrt (sin h3)))) (* (* (* (cos h0) (cos h1)) (sin h2)) (sqrt (sin h3))) (* (* (* (cos h0) (cos h1)) (sin h2)) 1) (* (sin h2) (sin h3)) (* (* (+ (cos (+ h0 h1)) (cos (- h0 h1))) (sin h2)) (sin h3)) (* (* (cos h0) (cos h1)) (sin h2)) (* (* (cos h0) (cos h1)) (sin h2)) (+ (+ (log (cos h0)) (log (cos h1))) (log (sin h2))) (+ (log (* (cos h0) (cos h1))) (log (sin h2))) (log (* (* (cos h0) (cos h1)) (sin h2))) (exp (* (* (cos h0) (cos h1)) (sin h2))) (* (* (* (* (cos h0) (cos h0)) (cos h0)) (* (* (cos h1) (cos h1)) (cos h1))) (* (* (sin h2) (sin h2)) (sin h2))) (* (* (* (* (cos h0) (cos h1)) (* (cos h0) (cos h1))) (* (cos h0) (cos h1))) (* (* (sin h2) (sin h2)) (sin h2))) (* (cbrt (* (* (cos h0) (cos h1)) (sin h2))) (cbrt (* (* (cos h0) (cos h1)) (sin h2)))) (cbrt (* (* (cos h0) (cos h1)) (sin h2))) (* (* (* (* (cos h0) (cos h1)) (sin h2)) (* (* (cos h0) (cos h1)) (sin h2))) (* (* (cos h0) (cos h1)) (sin h2))) (sqrt (* (* (cos h0) (cos h1)) (sin h2))) (sqrt (* (* (cos h0) (cos h1)) (sin h2))) (* (* (cos h0) (cos h1)) (* (cbrt (sin h2)) (cbrt (sin h2)))) (* (* (cos h0) (cos h1)) (sqrt (sin h2))) (* (* (cos h0) (cos h1)) 1) (* (cos h1) (sin h2)) (* (+ (cos (+ h0 h1)) (cos (- h0 h1))) (sin h2)) (acos (+ (* (sin h0) (sin h1)) (+ (* (cos h2) (* (cos h0) (* (cos h1) (cos h3)))) (* (sin h2) (* (cos h0) (* (cos h1) (sin h3))))))) (acos (+ (* (sin h0) (sin h1)) (+ (* (cos h2) (* (cos h0) (* (cos h1) (cos h3)))) (* (sin h2) (* (cos h0) (* (cos h1) (sin h3))))))) (acos (+ (* (sin h2) (* (cos h0) (* (cos h1) (sin h3)))) (+ (* (cos h2) (* (cos h0) (* (cos h1) (cos h3)))) (* (sin h0) (sin h1))))) (* (acos (+ (* (sin h0) (sin h1)) (+ (* (cos h2) (* (cos h0) (* (cos h1) (cos h3)))) (* (sin h2) (* (cos h0) (* (cos h1) (sin h3))))))) h4) (* (acos (+ (* (sin h0) (sin h1)) (+ (* (cos h2) (* (cos h0) (* (cos h1) (cos h3)))) (* (sin h2) (* (cos h0) (* (cos h1) (sin h3))))))) h4) (* (acos (+ (* (sin h2) (* (cos h0) (* (cos h1) (sin h3)))) (+ (* (cos h2) (* (cos h0) (* (cos h1) (cos h3)))) (* (sin h0) (sin h1))))) h4) 0 (* (sin h2) (* (cos h0) (* (cos h1) (sin h3)))) (* (sin h2) (* (cos h0) (* (cos h1) (sin h3)))) h2 (* (sin h2) (* (cos h0) (cos h1))) (* (sin h2) (* (cos h0) (cos h1))) 2.903 * * [simplify]: iteration 0 : 299 enodes (cost 1257 ) 2.909 * * [simplify]: iteration 1 : 1367 enodes (cost 1037 ) 2.940 * * [simplify]: iteration 2 : 5001 enodes (cost 1037 ) 2.944 * [simplify]: Simplified to: (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2))))) (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2)))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) 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(* (cos phi1) (cos phi2)) (sin lambda1)) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sqrt (sin lambda2))) (* (* (cos phi1) (cos phi2)) (sin lambda1)) (* (sin lambda1) (sin lambda2)) (* (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (sin lambda1)) (sin lambda2)) (* (* (cos phi1) (cos phi2)) (sin lambda1)) (* (* (cos phi1) (cos phi2)) (sin lambda1)) (log (* (* (cos phi1) (cos phi2)) (sin lambda1))) (log (* (* (cos phi1) (cos phi2)) (sin lambda1))) (log (* (* (cos phi1) (cos phi2)) (sin lambda1))) (exp (* (* (cos phi1) (cos phi2)) (sin lambda1))) (pow (* (* (cos phi1) (cos phi2)) (sin lambda1)) 3) (pow (* (* (cos phi1) (cos phi2)) (sin lambda1)) 3) (* (cbrt (* (* (cos phi1) (cos phi2)) (sin lambda1))) (cbrt (* (* (cos phi1) (cos phi2)) (sin lambda1)))) (cbrt (* (* (cos phi1) (cos phi2)) (sin lambda1))) (pow (* (* (cos phi1) (cos phi2)) (sin lambda1)) 3) (sqrt (* (* (cos phi1) (cos phi2)) (sin lambda1))) (sqrt (* (* (cos phi1) (cos phi2)) (sin lambda1))) (* (* (cos phi1) (cos phi2)) (* (cbrt (sin lambda1)) (cbrt (sin lambda1)))) (* (* (cos phi1) (cos phi2)) (sqrt (sin lambda1))) (* (cos phi1) (cos phi2)) (* (cos phi2) (sin lambda1)) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (sin lambda1)) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2))))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2))))) R) 0 (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2)) (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2)) lambda1 (* (* (cos phi1) (cos phi2)) (sin lambda1)) (* (* (cos phi1) (cos phi2)) (sin lambda1)) 2.944 * * * [progress]: adding candidates to table 3.251 * [progress]: [Phase 3 of 3] Extracting. 3.251 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # #) 3.273 * * * [regime-changes]: Trying 7 branch expressions: ((- lambda1 lambda2) (cos (- lambda1 lambda2)) phi2 phi1 lambda2 lambda1 R) 3.273 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (# # # # # # # # # # # # # # #) 3.381 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (# # # # # # # # # # # # # # #) 3.489 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # # # # # # # #) 3.594 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # # # # # # # #) 3.700 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # # # # # # # # #) 3.807 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # # # # # # # #) 3.914 * * * * [regimes]: Trying to branch on R from (# # # # # # # # # # # # # # #) 4.022 * * * [regime]: Found split indices: #