6.255 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.269 * * * [progress]: [2/2] Setting up program. 0.274 * [progress]: [Phase 2 of 3] Improving. 0.274 * [simplify]: Simplifying using # : (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.276 * * [simplify]: iteration 0 : 27 enodes (cost 12 ) 0.278 * * [simplify]: iteration 1 : 39 enodes (cost 12 ) 0.279 * * [simplify]: iteration 2 : 44 enodes (cost 12 ) 0.281 * * [simplify]: iteration 3 : 45 enodes (cost 12 ) 0.282 * * [simplify]: iteration 4 : 45 enodes (cost 12 ) 0.282 * [simplify]: Simplified to: (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.283 * * [progress]: iteration 1 / 4 0.283 * * * [progress]: picking best candidate 0.287 * * * * [pick]: Picked # 0.287 * * * [progress]: localizing error 0.313 * * * [progress]: generating rewritten candidates 0.313 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 0.320 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.321 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.324 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 0.337 * * * [progress]: generating series expansions 0.337 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 0.337 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 0.337 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 0.337 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 0.337 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.338 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.338 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.338 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.338 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.338 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.338 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.338 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.338 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.338 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.339 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.339 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.339 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.342 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 0.342 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 0.342 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.342 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.345 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 0.345 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 0.345 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.345 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.346 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.346 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.348 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 0.348 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.348 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.348 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.348 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.348 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.348 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.349 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.349 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.349 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.349 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.349 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.349 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.349 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.349 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.349 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.349 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.350 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.350 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.350 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.350 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.350 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.350 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.350 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.350 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.351 * [taylor]: Taking taylor expansion of 0 in lambda2 0.351 * [taylor]: Taking taylor expansion of 0 in lambda2 0.351 * [taylor]: Taking taylor expansion of 0 in lambda2 0.351 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 0.351 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.351 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.352 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.352 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.352 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.352 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.352 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.352 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.352 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.352 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.352 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.352 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.353 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.353 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.353 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.353 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.353 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.353 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.354 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.354 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.354 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.354 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.354 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.354 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.355 * [taylor]: Taking taylor expansion of 0 in lambda2 0.355 * [taylor]: Taking taylor expansion of 0 in lambda2 0.355 * [taylor]: Taking taylor expansion of 0 in lambda2 0.355 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.355 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.355 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.356 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.356 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.356 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.356 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.357 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.357 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.357 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.357 * [taylor]: Taking taylor expansion of 0 in phi2 0.357 * [taylor]: Taking taylor expansion of 0 in lambda1 0.357 * [taylor]: Taking taylor expansion of 0 in lambda2 0.357 * [taylor]: Taking taylor expansion of 0 in lambda1 0.357 * [taylor]: Taking taylor expansion of 0 in lambda2 0.357 * [taylor]: Taking taylor expansion of 0 in lambda2 0.358 * [taylor]: Taking taylor expansion of 0 in phi2 0.358 * [taylor]: Taking taylor expansion of 0 in lambda1 0.358 * [taylor]: Taking taylor expansion of 0 in lambda2 0.358 * [taylor]: Taking taylor expansion of 0 in lambda1 0.358 * [taylor]: Taking taylor expansion of 0 in lambda2 0.358 * [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 0.358 * [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 0.358 * [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 0.359 * [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 0.359 * [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 0.359 * [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 0.359 * [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 0.363 * [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 0.364 * [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 0.365 * [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 (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.366 * [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 0.366 * [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 0.366 * [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 0.366 * [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 0.367 * [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 0.367 * [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 0.367 * [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 0.368 * [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 0.368 * [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 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.369 * [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 0.369 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.369 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.369 * [taylor]: Taking taylor expansion of R in R 0.369 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.369 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.370 * [taylor]: Taking taylor expansion of R in lambda2 0.370 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.370 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.370 * [taylor]: Taking taylor expansion of R in lambda1 0.370 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.370 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.370 * [taylor]: Taking taylor expansion of R in phi2 0.370 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.370 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.370 * [taylor]: Taking taylor expansion of R in phi1 0.370 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.370 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.371 * [taylor]: Taking taylor expansion of R in phi1 0.371 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.371 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.371 * [taylor]: Taking taylor expansion of R in phi2 0.371 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.371 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.371 * [taylor]: Taking taylor expansion of R in lambda1 0.372 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.372 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.372 * [taylor]: Taking taylor expansion of R in lambda2 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 0.372 * [taylor]: Taking taylor expansion of R in R 0.373 * [taylor]: Taking taylor expansion of 0 in phi2 0.373 * [taylor]: Taking taylor expansion of 0 in lambda1 0.373 * [taylor]: Taking taylor expansion of 0 in lambda2 0.373 * [taylor]: Taking taylor expansion of 0 in R 0.373 * [taylor]: Taking taylor expansion of 0 in lambda1 0.373 * [taylor]: Taking taylor expansion of 0 in lambda2 0.373 * [taylor]: Taking taylor expansion of 0 in R 0.373 * [taylor]: Taking taylor expansion of 0 in lambda2 0.373 * [taylor]: Taking taylor expansion of 0 in R 0.373 * [taylor]: Taking taylor expansion of 0 in R 0.375 * [taylor]: Taking taylor expansion of 0 in phi2 0.375 * [taylor]: Taking taylor expansion of 0 in lambda1 0.375 * [taylor]: Taking taylor expansion of 0 in lambda2 0.375 * [taylor]: Taking taylor expansion of 0 in R 0.375 * [taylor]: Taking taylor expansion of 0 in lambda1 0.375 * [taylor]: Taking taylor expansion of 0 in lambda2 0.375 * [taylor]: Taking taylor expansion of 0 in 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 0.376 * [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 lambda2 0.377 * [taylor]: Taking taylor expansion of 0 in R 0.378 * [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 0.378 * [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 0.378 * [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 0.378 * [taylor]: Taking taylor expansion of R in R 0.378 * [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 0.378 * [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 0.378 * [taylor]: Taking taylor expansion of R in lambda2 0.379 * [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 0.379 * [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 0.379 * [taylor]: Taking taylor expansion of R in lambda1 0.379 * [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 0.379 * [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 0.380 * [taylor]: Taking taylor expansion of R in phi2 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 phi1 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 phi1 0.380 * [taylor]: Taking taylor expansion of R in phi1 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 phi1 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 phi1 0.381 * [taylor]: Taking taylor expansion of R in phi1 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 phi2 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 phi2 0.381 * [taylor]: Taking taylor expansion of R in phi2 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 0.382 * [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 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))))))) in lambda2 0.383 * [taylor]: Taking taylor expansion of R in lambda2 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 R 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 R 0.383 * [taylor]: Taking taylor expansion of R in R 0.384 * [taylor]: Taking taylor expansion of 0 in phi2 0.384 * [taylor]: Taking taylor expansion of 0 in lambda1 0.384 * [taylor]: Taking taylor expansion of 0 in lambda2 0.384 * [taylor]: Taking taylor expansion of 0 in R 0.385 * [taylor]: Taking taylor expansion of 0 in lambda1 0.385 * [taylor]: Taking taylor expansion of 0 in lambda2 0.385 * [taylor]: Taking taylor expansion of 0 in R 0.385 * [taylor]: Taking taylor expansion of 0 in lambda2 0.385 * [taylor]: Taking taylor expansion of 0 in R 0.385 * [taylor]: Taking taylor expansion of 0 in R 0.387 * [taylor]: Taking taylor expansion of 0 in phi2 0.387 * [taylor]: Taking taylor expansion of 0 in lambda1 0.387 * [taylor]: Taking taylor expansion of 0 in lambda2 0.387 * [taylor]: Taking taylor expansion of 0 in R 0.387 * [taylor]: Taking taylor expansion of 0 in lambda1 0.387 * [taylor]: Taking taylor expansion of 0 in lambda2 0.387 * [taylor]: Taking taylor expansion of 0 in R 0.388 * [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 0.388 * [taylor]: Taking taylor expansion of 0 in lambda2 0.388 * [taylor]: Taking taylor expansion of 0 in R 0.388 * [taylor]: Taking taylor expansion of 0 in lambda2 0.388 * [taylor]: Taking taylor expansion of 0 in R 0.388 * [taylor]: Taking taylor expansion of 0 in lambda2 0.388 * [taylor]: Taking taylor expansion of 0 in R 0.388 * [taylor]: Taking taylor expansion of 0 in R 0.388 * [taylor]: Taking taylor expansion of 0 in R 0.388 * [taylor]: Taking taylor expansion of 0 in R 0.389 * [taylor]: Taking taylor expansion of 0 in R 0.391 * [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 0.391 * [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 0.391 * [taylor]: Taking taylor expansion of -1 in R 0.391 * [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 0.391 * [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 0.391 * [taylor]: Taking taylor expansion of R in R 0.392 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda2 0.392 * [taylor]: Taking taylor expansion of -1 in lambda2 0.392 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda2 0.392 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 0.392 * [taylor]: Taking taylor expansion of R in lambda2 0.392 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda1 0.392 * [taylor]: Taking taylor expansion of -1 in lambda1 0.392 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda1 0.392 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 0.393 * [taylor]: Taking taylor expansion of R in lambda1 0.393 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi2 0.393 * [taylor]: Taking taylor expansion of -1 in phi2 0.393 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi2 0.393 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 0.393 * [taylor]: Taking taylor expansion of R in phi2 0.394 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi1 0.394 * [taylor]: Taking taylor expansion of -1 in phi1 0.394 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi1 0.394 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 0.394 * [taylor]: Taking taylor expansion of R in phi1 0.394 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi1 0.394 * [taylor]: Taking taylor expansion of -1 in phi1 0.394 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi1 0.394 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 0.395 * [taylor]: Taking taylor expansion of R in phi1 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 phi2 0.395 * [taylor]: Taking taylor expansion of -1 in phi2 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 phi2 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 phi2 0.396 * [taylor]: Taking taylor expansion of R in phi2 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 lambda2 0.397 * [taylor]: Taking taylor expansion of -1 in lambda2 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 lambda2 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 lambda2 0.397 * [taylor]: Taking taylor expansion of R in lambda2 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 R 0.398 * [taylor]: Taking taylor expansion of -1 in R 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 R 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 R 0.398 * [taylor]: Taking taylor expansion of R in R 0.400 * [taylor]: Taking taylor expansion of 0 in phi2 0.400 * [taylor]: Taking taylor expansion of 0 in lambda1 0.400 * [taylor]: Taking taylor expansion of 0 in lambda2 0.400 * [taylor]: Taking taylor expansion of 0 in R 0.401 * [taylor]: Taking taylor expansion of 0 in lambda1 0.401 * [taylor]: Taking taylor expansion of 0 in lambda2 0.401 * [taylor]: Taking taylor expansion of 0 in R 0.402 * [taylor]: Taking taylor expansion of 0 in lambda2 0.402 * [taylor]: Taking taylor expansion of 0 in R 0.403 * [taylor]: Taking taylor expansion of 0 in R 0.406 * [taylor]: Taking taylor expansion of 0 in phi2 0.406 * [taylor]: Taking taylor expansion of 0 in lambda1 0.406 * [taylor]: Taking taylor expansion of 0 in lambda2 0.406 * [taylor]: Taking taylor expansion of 0 in R 0.406 * [taylor]: Taking taylor expansion of 0 in lambda1 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 lambda1 0.407 * [taylor]: Taking taylor expansion of 0 in lambda2 0.407 * [taylor]: Taking taylor expansion of 0 in R 0.407 * [taylor]: Taking taylor expansion of 0 in lambda2 0.407 * [taylor]: Taking taylor expansion of 0 in R 0.407 * [taylor]: Taking taylor expansion of 0 in lambda2 0.407 * [taylor]: Taking taylor expansion of 0 in R 0.409 * [taylor]: Taking taylor expansion of 0 in lambda2 0.409 * [taylor]: Taking taylor expansion of 0 in R 0.409 * [taylor]: Taking taylor expansion of 0 in R 0.409 * [taylor]: Taking taylor expansion of 0 in R 0.409 * [taylor]: Taking taylor expansion of 0 in R 0.410 * [taylor]: Taking taylor expansion of 0 in R 0.413 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 0.413 * [approximate]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))) in (phi1 phi2 lambda1 lambda2) around 0 0.413 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))) in lambda2 0.413 * [taylor]: Taking taylor expansion of (cos phi1) in lambda2 0.413 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.413 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos (- lambda1 lambda2))) in lambda2 0.413 * [taylor]: Taking taylor expansion of (cos phi2) in lambda2 0.413 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.413 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 0.413 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 0.413 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.413 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.413 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))) in lambda1 0.413 * [taylor]: Taking taylor expansion of (cos phi1) in lambda1 0.414 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.414 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos (- lambda1 lambda2))) in lambda1 0.414 * [taylor]: Taking taylor expansion of (cos phi2) in lambda1 0.414 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.414 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.414 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.414 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.414 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.414 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))) in phi2 0.414 * [taylor]: Taking taylor expansion of (cos phi1) in phi2 0.414 * [taylor]: Taking taylor expansion of phi1 in phi2 0.414 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos (- lambda1 lambda2))) in phi2 0.414 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 0.414 * [taylor]: Taking taylor expansion of phi2 in phi2 0.414 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi2 0.414 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi2 0.414 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.414 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.414 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))) in phi1 0.414 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 0.414 * [taylor]: Taking taylor expansion of phi1 in phi1 0.414 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos (- lambda1 lambda2))) in phi1 0.414 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 0.414 * [taylor]: Taking taylor expansion of phi2 in phi1 0.414 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi1 0.414 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi1 0.414 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.414 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.414 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))) in phi1 0.414 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 0.414 * [taylor]: Taking taylor expansion of phi1 in phi1 0.414 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos (- lambda1 lambda2))) in phi1 0.414 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 0.414 * [taylor]: Taking taylor expansion of phi2 in phi1 0.415 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi1 0.415 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi1 0.415 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.415 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.415 * [taylor]: Taking taylor expansion of (* (cos (- lambda1 lambda2)) (cos phi2)) in phi2 0.416 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi2 0.416 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi2 0.416 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.416 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.416 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 0.416 * [taylor]: Taking taylor expansion of phi2 in phi2 0.416 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.416 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.416 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.416 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.417 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.417 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.417 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.422 * [taylor]: Taking taylor expansion of 0 in phi2 0.422 * [taylor]: Taking taylor expansion of 0 in lambda1 0.422 * [taylor]: Taking taylor expansion of 0 in lambda2 0.424 * [taylor]: Taking taylor expansion of 0 in lambda1 0.424 * [taylor]: Taking taylor expansion of 0 in lambda2 0.426 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 0.426 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 0.426 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.426 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.433 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (cos (- lambda1 lambda2)) (cos phi2)))) in phi2 0.433 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos (- lambda1 lambda2)) (cos phi2))) in phi2 0.433 * [taylor]: Taking taylor expansion of 1/2 in phi2 0.433 * [taylor]: Taking taylor expansion of (* (cos (- lambda1 lambda2)) (cos phi2)) in phi2 0.433 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi2 0.433 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi2 0.433 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.433 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.433 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 0.433 * [taylor]: Taking taylor expansion of phi2 in phi2 0.434 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda1 lambda2)))) in lambda1 0.434 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda1 lambda2))) in lambda1 0.434 * [taylor]: Taking taylor expansion of 1/2 in lambda1 0.434 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.434 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.434 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.434 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.435 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 0.435 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 0.435 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.435 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.435 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.435 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.436 * [taylor]: Taking taylor expansion of 0 in lambda1 0.436 * [taylor]: Taking taylor expansion of 0 in lambda2 0.439 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda1 lambda2)))) in lambda1 0.439 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda1 lambda2))) in lambda1 0.439 * [taylor]: Taking taylor expansion of 1/2 in lambda1 0.439 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.439 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.439 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.439 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.440 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 0.440 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 0.440 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.440 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.440 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.440 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.442 * [approximate]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in (phi1 phi2 lambda1 lambda2) around 0 0.442 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in lambda2 0.442 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.442 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.442 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.442 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.442 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.442 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.442 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in lambda2 0.442 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 0.443 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 0.443 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.443 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 0.443 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 0.443 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.443 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in lambda1 0.443 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.443 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.443 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.443 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.443 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.443 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.443 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in lambda1 0.443 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 0.444 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 0.444 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.444 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 0.444 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 0.444 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.444 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in phi2 0.444 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in phi2 0.444 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2 0.444 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 0.444 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.444 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 0.444 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.444 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in phi2 0.444 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 0.444 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.444 * [taylor]: Taking taylor expansion of phi2 in phi2 0.444 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 0.444 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.445 * [taylor]: Taking taylor expansion of phi1 in phi2 0.445 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in phi1 0.445 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in phi1 0.445 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1 0.445 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 0.445 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.445 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 0.445 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.445 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in phi1 0.445 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 0.445 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.445 * [taylor]: Taking taylor expansion of phi2 in phi1 0.445 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 0.445 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.445 * [taylor]: Taking taylor expansion of phi1 in phi1 0.445 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in phi1 0.445 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in phi1 0.445 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1 0.445 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 0.446 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.446 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 0.446 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.446 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in phi1 0.446 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 0.446 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.446 * [taylor]: Taking taylor expansion of phi2 in phi1 0.446 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 0.446 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.446 * [taylor]: Taking taylor expansion of phi1 in phi1 0.447 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) 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 0.448 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2)))) in phi2 0.448 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 0.448 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.448 * [taylor]: Taking taylor expansion of phi2 in phi2 0.448 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in phi2 0.448 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2 0.448 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 0.448 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.448 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 0.448 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.449 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in lambda1 0.449 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.449 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.449 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.449 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.450 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.450 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.450 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in lambda1 0.450 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 0.450 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 0.450 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.450 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 0.450 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 0.450 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.451 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) in lambda2 0.451 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 0.451 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 0.451 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.451 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2)))) in lambda2 0.451 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 0.451 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 0.451 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.451 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.451 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.451 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.452 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.452 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.452 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.461 * [taylor]: Taking taylor expansion of 0 in phi2 0.461 * [taylor]: Taking taylor expansion of 0 in lambda1 0.461 * [taylor]: Taking taylor expansion of 0 in lambda2 0.466 * [taylor]: Taking taylor expansion of 0 in lambda1 0.466 * [taylor]: Taking taylor expansion of 0 in lambda2 0.469 * [taylor]: Taking taylor expansion of 0 in lambda2 0.479 * [taylor]: Taking taylor expansion of 0 in phi2 0.479 * [taylor]: Taking taylor expansion of 0 in lambda1 0.479 * [taylor]: Taking taylor expansion of 0 in lambda2 0.479 * [taylor]: Taking taylor expansion of 0 in lambda1 0.479 * [taylor]: Taking taylor expansion of 0 in lambda2 0.479 * [approximate]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in (phi1 phi2 lambda1 lambda2) around 0 0.479 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda2 0.479 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 0.479 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 0.479 * [taylor]: Taking taylor expansion of -1 in lambda2 0.479 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.480 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda2 0.480 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 0.480 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 0.480 * [taylor]: Taking taylor expansion of -1 in lambda2 0.480 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.480 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.480 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.480 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.480 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.480 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.480 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.480 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda1 0.480 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 0.480 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 0.480 * [taylor]: Taking taylor expansion of -1 in lambda1 0.480 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.481 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda1 0.481 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 0.481 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 0.481 * [taylor]: Taking taylor expansion of -1 in lambda1 0.481 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.481 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.481 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.481 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.481 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.481 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.481 * [taylor]: Taking taylor expansion of lambda1 in lambda1 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 0.482 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in phi2 0.482 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi2 0.482 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 0.482 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.482 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 0.482 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.483 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi1 0.483 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 0.483 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.483 * [taylor]: Taking taylor expansion of -1 in phi1 0.483 * [taylor]: Taking taylor expansion of phi1 in phi1 0.483 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in phi1 0.483 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 0.483 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.483 * [taylor]: Taking taylor expansion of -1 in phi1 0.483 * [taylor]: Taking taylor expansion of phi2 in phi1 0.483 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in phi1 0.483 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi1 0.483 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 0.483 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.483 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 0.483 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.483 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi1 0.483 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 0.483 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.483 * [taylor]: Taking taylor expansion of -1 in phi1 0.484 * [taylor]: Taking taylor expansion of phi1 in phi1 0.484 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in phi1 0.484 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 0.484 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.484 * [taylor]: Taking taylor expansion of -1 in phi1 0.484 * [taylor]: Taking taylor expansion of phi2 in phi1 0.484 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in phi1 0.484 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi1 0.484 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 0.484 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.484 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 0.484 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.485 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi2 0.485 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 0.485 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.485 * [taylor]: Taking taylor expansion of -1 in phi2 0.485 * [taylor]: Taking taylor expansion of phi1 in phi2 0.486 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in phi2 0.486 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 0.486 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.486 * [taylor]: Taking taylor expansion of -1 in phi2 0.486 * [taylor]: Taking taylor expansion of phi2 in phi2 0.486 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in phi2 0.486 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi2 0.486 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 0.486 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.486 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 0.486 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.487 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda1 0.487 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 0.487 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 0.487 * [taylor]: Taking taylor expansion of -1 in lambda1 0.487 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.488 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda1 0.488 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 0.488 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 0.488 * [taylor]: Taking taylor expansion of -1 in lambda1 0.488 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.488 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.488 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.488 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.488 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.488 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.488 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.490 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda2 0.490 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 0.490 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 0.490 * [taylor]: Taking taylor expansion of -1 in lambda2 0.490 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.490 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda2 0.490 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 0.490 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 0.490 * [taylor]: Taking taylor expansion of -1 in lambda2 0.490 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.490 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.490 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.490 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.490 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.490 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.490 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.496 * [taylor]: Taking taylor expansion of 0 in phi2 0.496 * [taylor]: Taking taylor expansion of 0 in lambda1 0.496 * [taylor]: Taking taylor expansion of 0 in lambda2 0.500 * [taylor]: Taking taylor expansion of 0 in lambda1 0.501 * [taylor]: Taking taylor expansion of 0 in lambda2 0.504 * [taylor]: Taking taylor expansion of 0 in lambda2 0.514 * [taylor]: Taking taylor expansion of 0 in phi2 0.514 * [taylor]: Taking taylor expansion of 0 in lambda1 0.514 * [taylor]: Taking taylor expansion of 0 in lambda2 0.514 * [taylor]: Taking taylor expansion of 0 in lambda1 0.514 * [taylor]: Taking taylor expansion of 0 in lambda2 0.514 * * * [progress]: simplifying candidates 0.516 * [simplify]: Simplifying using # : (expm1 (cos (- lambda1 lambda2))) (log1p (cos (- lambda1 lambda2))) (* (cos (fma (* (cbrt lambda1) (cbrt lambda1)) (cbrt lambda1) (- (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (cos (fma (- (cbrt lambda2)) (* (cbrt lambda2) (cbrt lambda2)) (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (* (sin (fma (* (cbrt lambda1) (cbrt lambda1)) (cbrt lambda1) (- (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (sin (fma (- (cbrt lambda2)) (* (cbrt lambda2) (cbrt lambda2)) (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (* (cos (fma (* (cbrt lambda1) (cbrt lambda1)) (cbrt lambda1) (- (* (sqrt lambda2) (sqrt lambda2))))) (cos (fma (- (sqrt lambda2)) (sqrt lambda2) (* (sqrt lambda2) (sqrt lambda2))))) (* (sin (fma (* (cbrt lambda1) (cbrt lambda1)) (cbrt lambda1) (- (* (sqrt lambda2) (sqrt lambda2))))) (sin (fma (- (sqrt lambda2)) (sqrt lambda2) (* (sqrt lambda2) (sqrt lambda2))))) (* (cos (fma (* (cbrt lambda1) (cbrt lambda1)) (cbrt lambda1) (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma (* (cbrt lambda1) (cbrt lambda1)) (cbrt lambda1) (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (cos (fma (sqrt lambda1) (sqrt lambda1) (- (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (cos (fma (- (cbrt lambda2)) (* (cbrt lambda2) (cbrt lambda2)) (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (* (sin (fma (sqrt lambda1) (sqrt lambda1) (- (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (sin (fma (- (cbrt lambda2)) (* (cbrt lambda2) (cbrt lambda2)) (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (* (cos (fma (sqrt lambda1) (sqrt lambda1) (- (* (sqrt lambda2) (sqrt lambda2))))) (cos (fma (- (sqrt lambda2)) (sqrt lambda2) (* (sqrt lambda2) (sqrt lambda2))))) (* (sin (fma (sqrt lambda1) (sqrt lambda1) (- (* (sqrt lambda2) (sqrt lambda2))))) (sin (fma (- (sqrt lambda2)) (sqrt lambda2) (* (sqrt lambda2) (sqrt lambda2))))) (* (cos (fma (sqrt lambda1) (sqrt lambda1) (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma (sqrt lambda1) (sqrt lambda1) (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (cos (fma 1 lambda1 (- (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (cos (fma (- (cbrt lambda2)) (* (cbrt lambda2) (cbrt lambda2)) (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (* (sin (fma 1 lambda1 (- (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (sin (fma (- (cbrt lambda2)) (* (cbrt lambda2) (cbrt lambda2)) (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (* (cos (fma 1 lambda1 (- (* (sqrt lambda2) (sqrt lambda2))))) (cos (fma (- (sqrt lambda2)) (sqrt lambda2) (* (sqrt lambda2) (sqrt lambda2))))) (* (sin (fma 1 lambda1 (- (* (sqrt lambda2) (sqrt lambda2))))) (sin (fma (- (sqrt lambda2)) (sqrt lambda2) (* (sqrt lambda2) (sqrt lambda2))))) (* (cos (fma 1 lambda1 (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma 1 lambda1 (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (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 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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))) 0.522 * * [simplify]: iteration 0 : 388 enodes (cost 1113 ) 0.528 * * [simplify]: iteration 1 : 1250 enodes (cost 911 ) 0.553 * * [simplify]: iteration 2 : 5001 enodes (cost 909 ) 0.557 * [simplify]: Simplified to: (expm1 (cos (- lambda1 lambda2))) (log1p (cos (- lambda1 lambda2))) (* (cos (fma (* (cbrt lambda1) (cbrt lambda1)) (cbrt lambda1) (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma (* (cbrt lambda1) (cbrt lambda1)) (cbrt lambda1) (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (cos (fma (* (cbrt lambda1) (cbrt lambda1)) (cbrt lambda1) (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma (* (cbrt lambda1) (cbrt lambda1)) (cbrt lambda1) (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (cos (fma (* (cbrt lambda1) (cbrt lambda1)) (cbrt lambda1) (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma (* (cbrt lambda1) (cbrt lambda1)) (cbrt lambda1) (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (cos (fma 1 lambda1 (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma 1 lambda1 (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (cos (fma 1 lambda1 (- (* lambda2 1)))) (cos (fma (- 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(- 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))) (fma lambda1 lambda2 (- 1 (* 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) (fma (- 1/2) (fma phi1 phi1 (pow phi2 2)) 1) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 0.557 * * * [progress]: adding candidates to table 0.859 * * [progress]: iteration 2 / 4 0.859 * * * [progress]: picking best candidate 0.924 * * * * [pick]: Picked # 0.924 * * * [progress]: localizing error 0.961 * * * [progress]: generating rewritten candidates 0.961 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.962 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 2) 0.976 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.979 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 2) 0.985 * * * [progress]: generating series expansions 0.985 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.986 * [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 0.986 * [taylor]: Taking 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 0.986 * [taylor]: Taking 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 0.987 * [taylor]: Taking 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 0.987 * [taylor]: Taking 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 0.988 * [taylor]: Taking 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 0.988 * [taylor]: Taking 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 0.988 * [taylor]: Taking 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 0.989 * [taylor]: Taking 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 0.990 * [taylor]: Taking taylor expansion of 0 in phi2 0.990 * [taylor]: Taking taylor expansion of 0 in lambda1 0.990 * [taylor]: Taking taylor expansion of 0 in lambda2 0.990 * [taylor]: Taking taylor expansion of 0 in lambda1 0.990 * [taylor]: Taking taylor expansion of 0 in lambda2 0.990 * [taylor]: Taking taylor expansion of 0 in lambda2 0.990 * [taylor]: Taking taylor expansion of 0 in phi2 0.990 * [taylor]: Taking taylor expansion of 0 in lambda1 0.990 * [taylor]: Taking taylor expansion of 0 in lambda2 0.990 * [taylor]: Taking taylor expansion of 0 in lambda1 0.990 * [taylor]: Taking taylor expansion of 0 in lambda2 0.991 * [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 0.991 * [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 0.991 * [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 0.992 * [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 0.992 * [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 0.993 * [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 0.994 * [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 0.994 * [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 0.995 * [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 0.996 * [taylor]: Taking taylor expansion of 0 in phi2 0.996 * [taylor]: Taking taylor expansion of 0 in lambda1 0.996 * [taylor]: Taking taylor expansion of 0 in lambda2 0.996 * [taylor]: Taking taylor expansion of 0 in lambda1 0.996 * [taylor]: Taking taylor expansion of 0 in lambda2 0.996 * [taylor]: Taking taylor expansion of 0 in lambda2 0.996 * [taylor]: Taking taylor expansion of 0 in phi2 0.996 * [taylor]: Taking taylor expansion of 0 in lambda1 0.996 * [taylor]: Taking taylor expansion of 0 in lambda2 0.996 * [taylor]: Taking taylor expansion of 0 in lambda1 0.996 * [taylor]: Taking taylor expansion of 0 in lambda2 0.997 * [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 0.997 * [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 0.998 * [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 0.998 * [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 0.999 * [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 0.999 * [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 1.000 * [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 1.000 * [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 1.001 * [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 1.002 * [taylor]: Taking taylor expansion of 0 in phi2 1.002 * [taylor]: Taking taylor expansion of 0 in lambda1 1.002 * [taylor]: Taking taylor expansion of 0 in lambda2 1.002 * [taylor]: Taking taylor expansion of 0 in lambda1 1.002 * [taylor]: Taking taylor expansion of 0 in lambda2 1.002 * [taylor]: Taking taylor expansion of 0 in lambda2 1.002 * [taylor]: Taking taylor expansion of 0 in phi2 1.002 * [taylor]: Taking taylor expansion of 0 in lambda1 1.002 * [taylor]: Taking taylor expansion of 0 in lambda2 1.002 * [taylor]: Taking taylor expansion of 0 in lambda1 1.002 * [taylor]: Taking taylor expansion of 0 in lambda2 1.003 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 2) 1.003 * [approximate]: Taking taylor expansion of (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) in (phi1 phi2 lambda1 lambda2) around 0 1.003 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) in lambda2 1.003 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 1.003 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.003 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (sin lambda2))) in lambda2 1.003 * [taylor]: Taking taylor expansion of (cos phi1) in lambda2 1.003 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.003 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in lambda2 1.003 * [taylor]: Taking taylor expansion of (cos phi2) in lambda2 1.003 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.003 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.003 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.003 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) in lambda1 1.003 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.003 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.003 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (sin lambda2))) in lambda1 1.003 * [taylor]: Taking taylor expansion of (cos phi1) in lambda1 1.003 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.003 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in lambda1 1.003 * [taylor]: Taking taylor expansion of (cos phi2) in lambda1 1.003 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.003 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.003 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.003 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) in phi2 1.004 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 1.004 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.004 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (sin lambda2))) in phi2 1.004 * [taylor]: Taking taylor expansion of (cos phi1) in phi2 1.004 * [taylor]: Taking taylor expansion of phi1 in phi2 1.004 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in phi2 1.004 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 1.004 * [taylor]: Taking taylor expansion of phi2 in phi2 1.004 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 1.004 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.004 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) in phi1 1.004 * [taylor]: Taking taylor expansion of (sin lambda1) in phi1 1.004 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.004 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (sin lambda2))) in phi1 1.004 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 1.004 * [taylor]: Taking taylor expansion of phi1 in phi1 1.004 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in phi1 1.004 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 1.004 * [taylor]: Taking taylor expansion of phi2 in phi1 1.004 * [taylor]: Taking taylor expansion of (sin lambda2) in phi1 1.004 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.004 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) in phi1 1.004 * [taylor]: Taking taylor expansion of (sin lambda1) in phi1 1.004 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.004 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (sin lambda2))) in phi1 1.004 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 1.004 * [taylor]: Taking taylor expansion of phi1 in phi1 1.004 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in phi1 1.004 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 1.004 * [taylor]: Taking taylor expansion of phi2 in phi1 1.004 * [taylor]: Taking taylor expansion of (sin lambda2) in phi1 1.004 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.006 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi2) (sin lambda2))) in phi2 1.006 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 1.006 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.006 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in phi2 1.006 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 1.006 * [taylor]: Taking taylor expansion of phi2 in phi2 1.006 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 1.006 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.006 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.006 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.006 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.006 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.006 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.006 * [taylor]: Taking taylor expansion of 0 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 1.015 * [taylor]: Taking taylor expansion of 0 in lambda1 1.015 * [taylor]: Taking taylor expansion of 0 in lambda2 1.018 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.018 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.025 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sin lambda1) (* (cos phi2) (sin lambda2))))) in phi2 1.025 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (* (cos phi2) (sin lambda2)))) in phi2 1.025 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.025 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi2) (sin lambda2))) in phi2 1.025 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 1.025 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.025 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in phi2 1.026 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 1.026 * [taylor]: Taking taylor expansion of phi2 in phi2 1.026 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 1.026 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.026 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sin lambda1) (sin lambda2)))) in lambda1 1.026 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (sin lambda2))) in lambda1 1.026 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.030 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.030 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.030 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.030 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.030 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.031 * [taylor]: Taking taylor expansion of 0 in lambda2 1.031 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) in (phi1 phi2 lambda1 lambda2) around 0 1.032 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) in lambda2 1.032 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.032 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.032 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.032 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in lambda2 1.032 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.032 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.032 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.032 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in lambda2 1.032 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 1.032 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.032 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.032 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 1.032 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.032 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.032 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) in lambda1 1.032 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.032 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.032 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.033 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in lambda1 1.033 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.033 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.033 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.033 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in lambda1 1.033 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 1.033 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.033 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.033 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 1.033 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.033 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.033 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) in phi2 1.033 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi2 1.033 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.033 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.033 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in phi2 1.033 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi2 1.033 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.033 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.033 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in phi2 1.033 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 1.033 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.033 * [taylor]: Taking taylor expansion of phi2 in phi2 1.034 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 1.034 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.034 * [taylor]: Taking taylor expansion of phi1 in phi2 1.034 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) in phi1 1.034 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi1 1.034 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.034 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.034 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in phi1 1.034 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi1 1.034 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.034 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.034 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in phi1 1.034 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 1.034 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.034 * [taylor]: Taking taylor expansion of phi2 in phi1 1.034 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 1.034 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.034 * [taylor]: Taking taylor expansion of phi1 in phi1 1.035 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) in phi1 1.035 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi1 1.035 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.035 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.035 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in phi1 1.035 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi1 1.035 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.035 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.035 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in phi1 1.035 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 1.035 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.035 * [taylor]: Taking taylor expansion of phi2 in phi1 1.035 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 1.035 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.035 * [taylor]: Taking taylor expansion of phi1 in phi1 1.036 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) in phi2 1.036 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi2 1.036 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.037 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.037 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1)))) in phi2 1.037 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 1.037 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.037 * [taylor]: Taking taylor expansion of phi2 in phi2 1.037 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))) in phi2 1.037 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi2 1.037 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.037 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.037 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 1.037 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.037 * [taylor]: Taking taylor expansion of phi1 in phi2 1.038 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) in lambda1 1.038 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.038 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.038 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.038 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in lambda1 1.038 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.038 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.039 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.039 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in lambda1 1.039 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 1.039 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.039 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.039 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 1.039 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.039 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.040 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) in lambda2 1.040 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.040 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.040 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.040 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1)))) in lambda2 1.040 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 1.040 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.040 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.040 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))) in lambda2 1.040 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.040 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.040 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.041 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 1.041 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.041 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.047 * [taylor]: Taking taylor expansion of 0 in phi2 1.047 * [taylor]: Taking taylor expansion of 0 in lambda1 1.047 * [taylor]: Taking taylor expansion of 0 in lambda2 1.052 * [taylor]: Taking taylor expansion of 0 in lambda1 1.052 * [taylor]: Taking taylor expansion of 0 in lambda2 1.058 * [taylor]: Taking taylor expansion of 0 in lambda2 1.070 * [taylor]: Taking taylor expansion of 0 in phi2 1.070 * [taylor]: Taking taylor expansion of 0 in lambda1 1.070 * [taylor]: Taking taylor expansion of 0 in lambda2 1.070 * [taylor]: Taking taylor expansion of 0 in lambda1 1.070 * [taylor]: Taking taylor expansion of 0 in lambda2 1.071 * [approximate]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in (phi1 phi2 lambda1 lambda2) around 0 1.071 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in lambda2 1.071 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 1.071 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 1.071 * [taylor]: Taking taylor expansion of -1 in lambda2 1.071 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.071 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in lambda2 1.071 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.071 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.071 * [taylor]: Taking taylor expansion of -1 in lambda2 1.071 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.071 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in lambda2 1.071 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 1.071 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 1.071 * [taylor]: Taking taylor expansion of -1 in lambda2 1.071 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.071 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.071 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.071 * [taylor]: Taking taylor expansion of -1 in lambda2 1.071 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.072 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in lambda1 1.072 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 1.072 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 1.072 * [taylor]: Taking taylor expansion of -1 in lambda1 1.072 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.072 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in lambda1 1.072 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.072 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.072 * [taylor]: Taking taylor expansion of -1 in lambda1 1.072 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.072 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in lambda1 1.072 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 1.072 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 1.072 * [taylor]: Taking taylor expansion of -1 in lambda1 1.072 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.073 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.073 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.073 * [taylor]: Taking taylor expansion of -1 in lambda1 1.073 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.073 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in phi2 1.073 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 1.073 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.073 * [taylor]: Taking taylor expansion of -1 in phi2 1.073 * [taylor]: Taking taylor expansion of phi1 in phi2 1.073 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in phi2 1.073 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi2 1.073 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 1.073 * [taylor]: Taking taylor expansion of -1 in phi2 1.073 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.073 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in phi2 1.073 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 1.073 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.073 * [taylor]: Taking taylor expansion of -1 in phi2 1.073 * [taylor]: Taking taylor expansion of phi2 in phi2 1.073 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi2 1.073 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 1.073 * [taylor]: Taking taylor expansion of -1 in phi2 1.073 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.074 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in phi1 1.074 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 1.074 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.074 * [taylor]: Taking taylor expansion of -1 in phi1 1.074 * [taylor]: Taking taylor expansion of phi1 in phi1 1.074 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in phi1 1.074 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi1 1.074 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 1.074 * [taylor]: Taking taylor expansion of -1 in phi1 1.074 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.074 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in phi1 1.074 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 1.074 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.074 * [taylor]: Taking taylor expansion of -1 in phi1 1.074 * [taylor]: Taking taylor expansion of phi2 in phi1 1.074 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi1 1.074 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 1.074 * [taylor]: Taking taylor expansion of -1 in phi1 1.074 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.074 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in phi1 1.074 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 1.074 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.074 * [taylor]: Taking taylor expansion of -1 in phi1 1.075 * [taylor]: Taking taylor expansion of phi1 in phi1 1.075 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in phi1 1.075 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi1 1.075 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 1.075 * [taylor]: Taking taylor expansion of -1 in phi1 1.075 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.075 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in phi1 1.075 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 1.075 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.075 * [taylor]: Taking taylor expansion of -1 in phi1 1.075 * [taylor]: Taking taylor expansion of phi2 in phi1 1.075 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi1 1.075 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 1.075 * [taylor]: Taking taylor expansion of -1 in phi1 1.075 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.076 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in phi2 1.076 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 1.076 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.076 * [taylor]: Taking taylor expansion of -1 in phi2 1.076 * [taylor]: Taking taylor expansion of phi1 in phi2 1.076 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in phi2 1.076 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi2 1.076 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 1.076 * [taylor]: Taking taylor expansion of -1 in phi2 1.076 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.077 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in phi2 1.077 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 1.077 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.077 * [taylor]: Taking taylor expansion of -1 in phi2 1.077 * [taylor]: Taking taylor expansion of phi2 in phi2 1.077 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi2 1.077 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 1.077 * [taylor]: Taking taylor expansion of -1 in phi2 1.077 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.078 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in lambda1 1.078 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 1.078 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 1.078 * [taylor]: Taking taylor expansion of -1 in lambda1 1.078 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.078 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in lambda1 1.078 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.078 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.078 * [taylor]: Taking taylor expansion of -1 in lambda1 1.078 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.078 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in lambda1 1.078 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 1.078 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 1.079 * [taylor]: Taking taylor expansion of -1 in lambda1 1.079 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.079 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.079 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.079 * [taylor]: Taking taylor expansion of -1 in lambda1 1.079 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.080 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in lambda2 1.080 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 1.080 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 1.080 * [taylor]: Taking taylor expansion of -1 in lambda2 1.080 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.080 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in lambda2 1.080 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.080 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.080 * [taylor]: Taking taylor expansion of -1 in lambda2 1.080 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.080 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in lambda2 1.080 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 1.080 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 1.080 * [taylor]: Taking taylor expansion of -1 in lambda2 1.080 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.080 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.080 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.080 * [taylor]: Taking taylor expansion of -1 in lambda2 1.080 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.087 * [taylor]: Taking taylor expansion of 0 in phi2 1.087 * [taylor]: Taking taylor expansion of 0 in lambda1 1.087 * [taylor]: Taking taylor expansion of 0 in lambda2 1.092 * [taylor]: Taking taylor expansion of 0 in lambda1 1.092 * [taylor]: Taking taylor expansion of 0 in lambda2 1.097 * [taylor]: Taking taylor expansion of 0 in lambda2 1.110 * [taylor]: Taking taylor expansion of 0 in phi2 1.110 * [taylor]: Taking taylor expansion of 0 in lambda1 1.110 * [taylor]: Taking taylor expansion of 0 in lambda2 1.110 * [taylor]: Taking taylor expansion of 0 in lambda1 1.110 * [taylor]: Taking taylor expansion of 0 in lambda2 1.110 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.111 * [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 1.111 * [taylor]: Taking 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 1.111 * [taylor]: Taking 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 1.111 * [taylor]: Taking taylor expansion of R in R 1.111 * [taylor]: Taking 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 1.111 * [taylor]: Taking 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 1.111 * [taylor]: Taking taylor expansion of R in lambda2 1.111 * [taylor]: Taking 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 1.111 * [taylor]: Taking 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 1.112 * [taylor]: Taking taylor expansion of R in lambda1 1.112 * [taylor]: Taking 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 1.112 * [taylor]: Taking 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 1.112 * [taylor]: Taking taylor expansion of R in phi2 1.112 * [taylor]: Taking 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 1.112 * [taylor]: Taking 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 1.113 * [taylor]: Taking taylor expansion of R in phi1 1.113 * [taylor]: Taking 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 1.113 * [taylor]: Taking 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 1.113 * [taylor]: Taking taylor expansion of R in phi1 1.113 * [taylor]: Taking 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 1.114 * [taylor]: Taking 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 1.114 * [taylor]: Taking taylor expansion of R in phi2 1.114 * [taylor]: Taking 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 1.114 * [taylor]: Taking 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 1.115 * [taylor]: Taking taylor expansion of R in lambda1 1.115 * [taylor]: Taking 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 1.115 * [taylor]: Taking 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 1.115 * [taylor]: Taking taylor expansion of R in lambda2 1.116 * [taylor]: Taking 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 1.116 * [taylor]: Taking 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 1.116 * [taylor]: Taking taylor expansion of R in R 1.119 * [taylor]: Taking taylor expansion of 0 in phi2 1.119 * [taylor]: Taking taylor expansion of 0 in lambda1 1.119 * [taylor]: Taking taylor expansion of 0 in lambda2 1.119 * [taylor]: Taking taylor expansion of 0 in R 1.120 * [taylor]: Taking taylor expansion of 0 in lambda1 1.120 * [taylor]: Taking taylor expansion of 0 in lambda2 1.120 * [taylor]: Taking taylor expansion of 0 in R 1.120 * [taylor]: Taking taylor expansion of 0 in lambda2 1.120 * [taylor]: Taking taylor expansion of 0 in R 1.121 * [taylor]: Taking taylor expansion of 0 in R 1.123 * [taylor]: Taking taylor expansion of 0 in phi2 1.123 * [taylor]: Taking taylor expansion of 0 in lambda1 1.123 * [taylor]: Taking taylor expansion of 0 in lambda2 1.123 * [taylor]: Taking taylor expansion of 0 in R 1.123 * [taylor]: Taking taylor expansion of 0 in lambda1 1.123 * [taylor]: Taking taylor expansion of 0 in lambda2 1.123 * [taylor]: Taking taylor expansion of 0 in R 1.123 * [taylor]: Taking taylor expansion of 0 in lambda1 1.123 * [taylor]: Taking taylor expansion of 0 in lambda2 1.123 * [taylor]: Taking taylor expansion of 0 in R 1.124 * [taylor]: Taking taylor expansion of 0 in lambda2 1.124 * [taylor]: Taking taylor expansion of 0 in R 1.124 * [taylor]: Taking taylor expansion of 0 in lambda2 1.124 * [taylor]: Taking taylor expansion of 0 in R 1.124 * [taylor]: Taking taylor expansion of 0 in lambda2 1.124 * [taylor]: Taking taylor expansion of 0 in R 1.126 * [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 1.126 * [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 1.126 * [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 1.126 * [taylor]: Taking taylor expansion of R in R 1.127 * [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 1.127 * [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 1.127 * [taylor]: Taking taylor expansion of R in lambda2 1.128 * [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 1.128 * [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 1.128 * [taylor]: Taking taylor expansion of R in lambda1 1.129 * [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 1.129 * [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 1.129 * [taylor]: Taking taylor expansion of R in phi2 1.130 * [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 1.130 * [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 1.130 * [taylor]: Taking taylor expansion of R in phi1 1.131 * [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 1.131 * [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 1.131 * [taylor]: Taking taylor expansion of R in phi1 1.132 * [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 1.132 * [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 1.132 * [taylor]: Taking taylor expansion of R in phi2 1.133 * [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 1.133 * [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 1.133 * [taylor]: Taking taylor expansion of R in lambda1 1.134 * [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 1.134 * [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 1.134 * [taylor]: Taking taylor expansion of R in lambda2 1.135 * [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 1.135 * [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 1.135 * [taylor]: Taking taylor expansion of R in R 1.137 * [taylor]: Taking taylor expansion of 0 in phi2 1.137 * [taylor]: Taking taylor expansion of 0 in lambda1 1.137 * [taylor]: Taking taylor expansion of 0 in lambda2 1.137 * [taylor]: Taking taylor expansion of 0 in R 1.138 * [taylor]: Taking taylor expansion of 0 in lambda1 1.138 * [taylor]: Taking taylor expansion of 0 in lambda2 1.138 * [taylor]: Taking taylor expansion of 0 in R 1.138 * [taylor]: Taking taylor expansion of 0 in lambda2 1.138 * [taylor]: Taking taylor expansion of 0 in R 1.139 * [taylor]: Taking taylor expansion of 0 in R 1.141 * [taylor]: Taking taylor expansion of 0 in phi2 1.141 * [taylor]: Taking taylor expansion of 0 in lambda1 1.141 * [taylor]: Taking taylor expansion of 0 in lambda2 1.141 * [taylor]: Taking taylor expansion of 0 in R 1.141 * [taylor]: Taking taylor expansion of 0 in lambda1 1.141 * [taylor]: Taking taylor expansion of 0 in lambda2 1.141 * [taylor]: Taking taylor expansion of 0 in R 1.142 * [taylor]: Taking taylor expansion of 0 in lambda1 1.142 * [taylor]: Taking taylor expansion of 0 in lambda2 1.142 * [taylor]: Taking taylor expansion of 0 in R 1.142 * [taylor]: Taking taylor expansion of 0 in lambda2 1.142 * [taylor]: Taking taylor expansion of 0 in R 1.142 * [taylor]: Taking taylor expansion of 0 in lambda2 1.142 * [taylor]: Taking taylor expansion of 0 in R 1.142 * [taylor]: Taking taylor expansion of 0 in lambda2 1.142 * [taylor]: Taking taylor expansion of 0 in R 1.142 * [taylor]: Taking taylor expansion of 0 in R 1.142 * [taylor]: Taking taylor expansion of 0 in R 1.143 * [taylor]: Taking taylor expansion of 0 in R 1.143 * [taylor]: Taking taylor expansion of 0 in R 1.146 * [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 1.146 * [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 1.146 * [taylor]: Taking taylor expansion of -1 in R 1.146 * [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 1.146 * [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 1.147 * [taylor]: Taking taylor expansion of R in R 1.147 * [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 1.147 * [taylor]: Taking taylor expansion of -1 in lambda2 1.147 * [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 1.147 * [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 1.148 * [taylor]: Taking taylor expansion of R in lambda2 1.148 * [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 1.149 * [taylor]: Taking taylor expansion of -1 in lambda1 1.149 * [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 1.149 * [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 1.149 * [taylor]: Taking taylor expansion of R in lambda1 1.150 * [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 1.150 * [taylor]: Taking taylor expansion of -1 in phi2 1.150 * [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 1.150 * [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 1.150 * [taylor]: Taking taylor expansion of R in phi2 1.151 * [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 1.151 * [taylor]: Taking taylor expansion of -1 in phi1 1.151 * [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 1.151 * [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 1.151 * [taylor]: Taking taylor expansion of R in phi1 1.152 * [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 1.152 * [taylor]: Taking taylor expansion of -1 in phi1 1.152 * [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 1.152 * [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 1.152 * [taylor]: Taking taylor expansion of R in phi1 1.153 * [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 1.153 * [taylor]: Taking taylor expansion of -1 in phi2 1.153 * [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 1.154 * [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 1.154 * [taylor]: Taking taylor expansion of R in phi2 1.155 * [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 1.155 * [taylor]: Taking taylor expansion of -1 in lambda1 1.155 * [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 1.155 * [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 1.156 * [taylor]: Taking taylor expansion of R in lambda1 1.157 * [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 1.157 * [taylor]: Taking taylor expansion of -1 in lambda2 1.157 * [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 1.157 * [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 1.157 * [taylor]: Taking taylor expansion of R in lambda2 1.158 * [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 1.158 * [taylor]: Taking taylor expansion of -1 in R 1.158 * [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 1.158 * [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 1.159 * [taylor]: Taking taylor expansion of R in R 1.162 * [taylor]: Taking taylor expansion of 0 in phi2 1.162 * [taylor]: Taking taylor expansion of 0 in lambda1 1.162 * [taylor]: Taking taylor expansion of 0 in lambda2 1.162 * [taylor]: Taking taylor expansion of 0 in R 1.164 * [taylor]: Taking taylor expansion of 0 in lambda1 1.164 * [taylor]: Taking taylor expansion of 0 in lambda2 1.164 * [taylor]: Taking taylor expansion of 0 in R 1.165 * [taylor]: Taking taylor expansion of 0 in lambda2 1.165 * [taylor]: Taking taylor expansion of 0 in R 1.167 * [taylor]: Taking taylor expansion of 0 in R 1.171 * [taylor]: Taking taylor expansion of 0 in phi2 1.171 * [taylor]: Taking taylor expansion of 0 in lambda1 1.171 * [taylor]: Taking taylor expansion of 0 in lambda2 1.171 * [taylor]: Taking taylor expansion of 0 in R 1.171 * [taylor]: Taking taylor expansion of 0 in lambda1 1.171 * [taylor]: Taking taylor expansion of 0 in lambda2 1.171 * [taylor]: Taking taylor expansion of 0 in R 1.173 * [taylor]: Taking taylor expansion of 0 in lambda1 1.173 * [taylor]: Taking taylor expansion of 0 in lambda2 1.173 * [taylor]: Taking taylor expansion of 0 in R 1.173 * [taylor]: Taking taylor expansion of 0 in lambda2 1.173 * [taylor]: Taking taylor expansion of 0 in R 1.173 * [taylor]: Taking taylor expansion of 0 in lambda2 1.173 * [taylor]: Taking taylor expansion of 0 in R 1.175 * [taylor]: Taking taylor expansion of 0 in lambda2 1.175 * [taylor]: Taking taylor expansion of 0 in R 1.175 * [taylor]: Taking taylor expansion of 0 in R 1.175 * [taylor]: Taking taylor expansion of 0 in R 1.175 * [taylor]: Taking taylor expansion of 0 in R 1.176 * [taylor]: Taking taylor expansion of 0 in R 1.180 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 2) 1.180 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 1.180 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 1.180 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 1.180 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.180 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.180 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.180 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.180 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.180 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.180 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.180 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.180 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.180 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.181 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.181 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.181 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.181 * [taylor]: Taking taylor expansion of 0 in lambda2 1.183 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.183 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.186 * [taylor]: Taking taylor expansion of 0 in lambda2 1.190 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2 1.190 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 1.190 * [taylor]: Taking taylor expansion of 1/6 in lambda2 1.190 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.190 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.196 * [taylor]: Taking taylor expansion of 0 in lambda2 1.197 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 1.197 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.197 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.197 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.197 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.197 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.197 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.197 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.197 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.197 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.197 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.197 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.200 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.200 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.200 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.200 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.200 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.200 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.200 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.200 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.200 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.200 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.201 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.201 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.201 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.201 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.201 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.201 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.201 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.203 * [taylor]: Taking taylor expansion of 0 in lambda2 1.207 * [taylor]: Taking taylor expansion of 0 in lambda2 1.212 * [taylor]: Taking taylor expansion of 0 in lambda2 1.213 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 1.213 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.213 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.213 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.213 * [taylor]: Taking taylor expansion of -1 in lambda2 1.213 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.213 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.213 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.213 * [taylor]: Taking taylor expansion of -1 in lambda2 1.213 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.213 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.213 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.213 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.213 * [taylor]: Taking taylor expansion of -1 in lambda1 1.213 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.214 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.214 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.214 * [taylor]: Taking taylor expansion of -1 in lambda1 1.214 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.214 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.214 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.214 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.214 * [taylor]: Taking taylor expansion of -1 in lambda1 1.214 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.214 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.214 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.214 * [taylor]: Taking taylor expansion of -1 in lambda1 1.214 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.215 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.215 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.215 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.215 * [taylor]: Taking taylor expansion of -1 in lambda2 1.215 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.215 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.215 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.215 * [taylor]: Taking taylor expansion of -1 in lambda2 1.215 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.217 * [taylor]: Taking taylor expansion of 0 in lambda2 1.221 * [taylor]: Taking taylor expansion of 0 in lambda2 1.227 * [taylor]: Taking taylor expansion of 0 in lambda2 1.227 * * * [progress]: simplifying candidates 1.228 * [simplify]: Simplifying using # : (expm1 (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (log1p (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (/ 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))))))) (expm1 (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (log1p (* (* (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))) (* (* (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) (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 phi2)) (cos (- phi1 phi2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))) (* 2 2) (* (* (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))) (expm1 (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (log1p (* (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) (+ (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) (expm1 (* (sin lambda1) (sin lambda2))) (log1p (* (sin lambda1) (sin lambda2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2)) (+ (log (sin lambda1)) (log (sin lambda2))) (log (* (sin lambda1) (sin lambda2))) (exp (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))) (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (* (sin lambda1) (sqrt (sin lambda2))) (* (sin lambda1) 1) (* (cbrt (sin lambda1)) (sin lambda2)) (* (sqrt (sin lambda1)) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin 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))))) 0 (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin 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))))))) 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) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) 1.235 * * [simplify]: iteration 0 : 325 enodes (cost 1357 ) 1.241 * * [simplify]: iteration 1 : 1237 enodes (cost 1141 ) 1.267 * * [simplify]: iteration 2 : 5001 enodes (cost 1141 ) 1.271 * [simplify]: Simplified to: (expm1 (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (log1p (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (/ 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))))))) (expm1 (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (log1p (* (* (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))) (* (* (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))) (expm1 (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (log1p (* (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) (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) (expm1 (* (sin lambda1) (sin lambda2))) (log1p (* (sin lambda1) (sin lambda2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2)) (log (* (sin lambda1) (sin lambda2))) (log (* (sin lambda1) (sin lambda2))) (exp (* (sin lambda1) (sin lambda2))) (pow (* (sin lambda1) (sin lambda2)) 3) (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (pow (* (sin lambda1) (sin lambda2)) 3) (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (* (sin lambda1) (sqrt (sin lambda2))) (sin lambda1) (* (cbrt (sin lambda1)) (sin lambda2)) (* (sqrt (sin lambda1)) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (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)))))) 0 (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin 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) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) 1.271 * * * [progress]: adding candidates to table 1.644 * * [progress]: iteration 3 / 4 1.645 * * * [progress]: picking best candidate 1.738 * * * * [pick]: Picked # 1.738 * * * [progress]: localizing error 1.772 * * * [progress]: generating rewritten candidates 1.772 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.773 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.776 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2 2 2) 1.780 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 1.785 * * * [progress]: generating series expansions 1.785 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.786 * [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 1.786 * [taylor]: Taking 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 1.786 * [taylor]: Taking 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 1.786 * [taylor]: Taking 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 1.787 * [taylor]: Taking 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 1.787 * [taylor]: Taking 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 1.788 * [taylor]: Taking 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 1.788 * [taylor]: Taking 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 1.788 * [taylor]: Taking 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 1.789 * [taylor]: Taking taylor expansion of 0 in phi2 1.789 * [taylor]: Taking taylor expansion of 0 in lambda1 1.789 * [taylor]: Taking taylor expansion of 0 in lambda2 1.789 * [taylor]: Taking taylor expansion of 0 in lambda1 1.789 * [taylor]: Taking taylor expansion of 0 in lambda2 1.789 * [taylor]: Taking taylor expansion of 0 in lambda2 1.789 * [taylor]: Taking taylor expansion of 0 in phi2 1.789 * [taylor]: Taking taylor expansion of 0 in lambda1 1.789 * [taylor]: Taking taylor expansion of 0 in lambda2 1.789 * [taylor]: Taking taylor expansion of 0 in lambda1 1.789 * [taylor]: Taking taylor expansion of 0 in lambda2 1.790 * [approximate]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.790 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda2 1.791 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda1 1.791 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi2 1.792 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi1 1.792 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi1 1.793 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi2 1.793 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda1 1.794 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda2 1.795 * [taylor]: Taking taylor expansion of 0 in phi2 1.795 * [taylor]: Taking taylor expansion of 0 in lambda1 1.795 * [taylor]: Taking taylor expansion of 0 in lambda2 1.795 * [taylor]: Taking taylor expansion of 0 in lambda1 1.795 * [taylor]: Taking taylor expansion of 0 in lambda2 1.795 * [taylor]: Taking taylor expansion of 0 in lambda2 1.795 * [taylor]: Taking taylor expansion of 0 in phi2 1.795 * [taylor]: Taking taylor expansion of 0 in lambda1 1.795 * [taylor]: Taking taylor expansion of 0 in lambda2 1.795 * [taylor]: Taking taylor expansion of 0 in lambda1 1.795 * [taylor]: Taking taylor expansion of 0 in lambda2 1.796 * [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 1.796 * [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 1.797 * [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 1.797 * [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 1.798 * [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 1.798 * [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 1.799 * [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 1.799 * [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 1.799 * [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 1.802 * [taylor]: Taking taylor expansion of 0 in phi2 1.802 * [taylor]: Taking taylor expansion of 0 in lambda1 1.802 * [taylor]: Taking taylor expansion of 0 in lambda2 1.803 * [taylor]: Taking taylor expansion of 0 in lambda1 1.803 * [taylor]: Taking taylor expansion of 0 in lambda2 1.803 * [taylor]: Taking taylor expansion of 0 in lambda2 1.803 * [taylor]: Taking taylor expansion of 0 in phi2 1.803 * [taylor]: Taking taylor expansion of 0 in lambda1 1.803 * [taylor]: Taking taylor expansion of 0 in lambda2 1.803 * [taylor]: Taking taylor expansion of 0 in lambda1 1.803 * [taylor]: Taking taylor expansion of 0 in lambda2 1.803 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.804 * [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 1.804 * [taylor]: Taking 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 1.804 * [taylor]: Taking 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 1.804 * [taylor]: Taking taylor expansion of R in R 1.804 * [taylor]: Taking 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 1.804 * [taylor]: Taking 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 1.805 * [taylor]: Taking taylor expansion of R in lambda2 1.805 * [taylor]: Taking 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 1.805 * [taylor]: Taking 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 1.805 * [taylor]: Taking taylor expansion of R in lambda1 1.805 * [taylor]: Taking 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 1.805 * [taylor]: Taking 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 1.806 * [taylor]: Taking taylor expansion of R in phi2 1.806 * [taylor]: Taking 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 1.806 * [taylor]: Taking 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 1.806 * [taylor]: Taking taylor expansion of R in phi1 1.806 * [taylor]: Taking 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 1.806 * [taylor]: Taking 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 1.806 * [taylor]: Taking taylor expansion of R in phi1 1.807 * [taylor]: Taking 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 1.807 * [taylor]: Taking 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 1.807 * [taylor]: Taking taylor expansion of R in phi2 1.808 * [taylor]: Taking 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 1.808 * [taylor]: Taking 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 1.808 * [taylor]: Taking taylor expansion of R in lambda1 1.808 * [taylor]: Taking 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 1.808 * [taylor]: Taking 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 1.809 * [taylor]: Taking taylor expansion of R in lambda2 1.809 * [taylor]: Taking 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 1.809 * [taylor]: Taking 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 1.809 * [taylor]: Taking taylor expansion of R in R 1.810 * [taylor]: Taking taylor expansion of 0 in phi2 1.810 * [taylor]: Taking taylor expansion of 0 in lambda1 1.810 * [taylor]: Taking taylor expansion of 0 in lambda2 1.810 * [taylor]: Taking taylor expansion of 0 in R 1.811 * [taylor]: Taking taylor expansion of 0 in lambda1 1.811 * [taylor]: Taking taylor expansion of 0 in lambda2 1.811 * [taylor]: Taking taylor expansion of 0 in R 1.811 * [taylor]: Taking taylor expansion of 0 in lambda2 1.811 * [taylor]: Taking taylor expansion of 0 in R 1.812 * [taylor]: Taking taylor expansion of 0 in R 1.814 * [taylor]: Taking taylor expansion of 0 in phi2 1.814 * [taylor]: Taking taylor expansion of 0 in lambda1 1.814 * [taylor]: Taking taylor expansion of 0 in lambda2 1.814 * [taylor]: Taking taylor expansion of 0 in R 1.814 * [taylor]: Taking taylor expansion of 0 in lambda1 1.814 * [taylor]: Taking taylor expansion of 0 in lambda2 1.814 * [taylor]: Taking taylor expansion of 0 in R 1.814 * [taylor]: Taking taylor expansion of 0 in lambda1 1.814 * [taylor]: Taking taylor expansion of 0 in lambda2 1.814 * [taylor]: Taking taylor expansion of 0 in R 1.814 * [taylor]: Taking taylor expansion of 0 in lambda2 1.814 * [taylor]: Taking taylor expansion of 0 in R 1.815 * [taylor]: Taking taylor expansion of 0 in lambda2 1.815 * [taylor]: Taking taylor expansion of 0 in R 1.815 * [taylor]: Taking taylor expansion of 0 in lambda2 1.815 * [taylor]: Taking taylor expansion of 0 in R 1.817 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 1.817 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in R 1.817 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in R 1.817 * [taylor]: Taking taylor expansion of R in R 1.818 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in lambda2 1.818 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda2 1.818 * [taylor]: Taking taylor expansion of R in lambda2 1.819 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in lambda1 1.819 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda1 1.819 * [taylor]: Taking taylor expansion of R in lambda1 1.820 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in phi2 1.820 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi2 1.820 * [taylor]: Taking taylor expansion of R in phi2 1.821 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in phi1 1.821 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi1 1.821 * [taylor]: Taking taylor expansion of R in phi1 1.822 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in phi1 1.822 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi1 1.822 * [taylor]: Taking taylor expansion of R in phi1 1.823 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in phi2 1.823 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi2 1.823 * [taylor]: Taking taylor expansion of R in phi2 1.824 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in lambda1 1.824 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda1 1.824 * [taylor]: Taking taylor expansion of R in lambda1 1.825 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in lambda2 1.825 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda2 1.825 * [taylor]: Taking taylor expansion of R in lambda2 1.826 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in R 1.826 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in R 1.826 * [taylor]: Taking taylor expansion of R in R 1.828 * [taylor]: Taking taylor expansion of 0 in phi2 1.828 * [taylor]: Taking taylor expansion of 0 in lambda1 1.828 * [taylor]: Taking taylor expansion of 0 in lambda2 1.828 * [taylor]: Taking taylor expansion of 0 in R 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 R 1.829 * [taylor]: Taking taylor expansion of 0 in lambda2 1.829 * [taylor]: Taking taylor expansion of 0 in R 1.830 * [taylor]: Taking taylor expansion of 0 in R 1.832 * [taylor]: Taking taylor expansion of 0 in phi2 1.832 * [taylor]: Taking taylor expansion of 0 in lambda1 1.832 * [taylor]: Taking taylor expansion of 0 in lambda2 1.832 * [taylor]: Taking taylor expansion of 0 in R 1.832 * [taylor]: Taking taylor expansion of 0 in lambda1 1.832 * [taylor]: Taking taylor expansion of 0 in lambda2 1.832 * [taylor]: Taking taylor expansion of 0 in R 1.833 * [taylor]: Taking taylor expansion of 0 in lambda1 1.833 * [taylor]: Taking taylor expansion of 0 in lambda2 1.833 * [taylor]: Taking taylor expansion of 0 in R 1.833 * [taylor]: Taking taylor expansion of 0 in lambda2 1.833 * [taylor]: Taking taylor expansion of 0 in R 1.833 * [taylor]: Taking taylor expansion of 0 in lambda2 1.833 * [taylor]: Taking taylor expansion of 0 in R 1.833 * [taylor]: Taking taylor expansion of 0 in lambda2 1.833 * [taylor]: Taking taylor expansion of 0 in R 1.833 * [taylor]: Taking taylor expansion of 0 in R 1.833 * [taylor]: Taking taylor expansion of 0 in R 1.833 * [taylor]: Taking taylor expansion of 0 in R 1.834 * [taylor]: Taking taylor expansion of 0 in R 1.837 * [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 1.837 * [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 1.837 * [taylor]: Taking taylor expansion of -1 in R 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)))))) R) in R 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 R 1.838 * [taylor]: Taking taylor expansion of R in R 1.838 * [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 1.838 * [taylor]: Taking taylor expansion of -1 in lambda2 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)))))) R) in lambda2 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 lambda2 1.839 * [taylor]: Taking taylor expansion of R in lambda2 1.839 * [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 1.839 * [taylor]: Taking taylor expansion of -1 in lambda1 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)))))) R) in lambda1 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 lambda1 1.840 * [taylor]: Taking taylor expansion of R in lambda1 1.840 * [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 1.840 * [taylor]: Taking taylor expansion of -1 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)))))) R) 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 phi2 1.841 * [taylor]: Taking taylor expansion of R in phi2 1.841 * [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 1.841 * [taylor]: Taking taylor expansion of -1 in phi1 1.841 * [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 1.841 * [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 1.842 * [taylor]: Taking taylor expansion of R in phi1 1.842 * [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 1.843 * [taylor]: Taking taylor expansion of -1 in phi1 1.843 * [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 1.843 * [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 1.843 * [taylor]: Taking taylor expansion of R in phi1 1.844 * [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 1.844 * [taylor]: Taking taylor expansion of -1 in phi2 1.844 * [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 1.844 * [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 1.845 * [taylor]: Taking taylor expansion of R in phi2 1.846 * [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 1.846 * [taylor]: Taking taylor expansion of -1 in lambda1 1.846 * [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 1.846 * [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 1.846 * [taylor]: Taking taylor expansion of R in lambda1 1.847 * [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 1.847 * [taylor]: Taking taylor expansion of -1 in lambda2 1.847 * [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 1.847 * [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 1.848 * [taylor]: Taking taylor expansion of R in lambda2 1.849 * [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 1.849 * [taylor]: Taking taylor expansion of -1 in R 1.849 * [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 1.849 * [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 1.849 * [taylor]: Taking taylor expansion of R in R 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 R 1.854 * [taylor]: Taking taylor expansion of 0 in lambda1 1.854 * [taylor]: Taking taylor expansion of 0 in lambda2 1.854 * [taylor]: Taking taylor expansion of 0 in R 1.855 * [taylor]: Taking taylor expansion of 0 in lambda2 1.855 * [taylor]: Taking taylor expansion of 0 in R 1.857 * [taylor]: Taking taylor expansion of 0 in R 1.860 * [taylor]: Taking taylor expansion of 0 in phi2 1.860 * [taylor]: Taking taylor expansion of 0 in lambda1 1.860 * [taylor]: Taking taylor expansion of 0 in lambda2 1.860 * [taylor]: Taking taylor expansion of 0 in R 1.860 * [taylor]: Taking taylor expansion of 0 in lambda1 1.860 * [taylor]: Taking taylor expansion of 0 in lambda2 1.860 * [taylor]: Taking taylor expansion of 0 in R 1.862 * [taylor]: Taking taylor expansion of 0 in lambda1 1.862 * [taylor]: Taking taylor expansion of 0 in lambda2 1.862 * [taylor]: Taking taylor expansion of 0 in R 1.862 * [taylor]: Taking taylor expansion of 0 in lambda2 1.862 * [taylor]: Taking taylor expansion of 0 in R 1.862 * [taylor]: Taking taylor expansion of 0 in lambda2 1.862 * [taylor]: Taking taylor expansion of 0 in R 1.864 * [taylor]: Taking taylor expansion of 0 in lambda2 1.864 * [taylor]: Taking taylor expansion of 0 in R 1.864 * [taylor]: Taking taylor expansion of 0 in R 1.864 * [taylor]: Taking taylor expansion of 0 in R 1.864 * [taylor]: Taking taylor expansion of 0 in R 1.866 * [taylor]: Taking taylor expansion of 0 in R 1.869 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2 2 2) 1.869 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 1.869 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 1.869 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 1.869 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.869 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.869 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.869 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.869 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.869 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.869 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.870 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.870 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.870 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.870 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.870 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.870 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.870 * [taylor]: Taking taylor expansion of 0 in lambda2 1.872 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.872 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.875 * [taylor]: Taking taylor expansion of 0 in lambda2 1.881 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2 1.881 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 1.881 * [taylor]: Taking taylor expansion of 1/6 in lambda2 1.881 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.881 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.887 * [taylor]: Taking taylor expansion of 0 in lambda2 1.887 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 1.887 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.887 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.887 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.887 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.887 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.887 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.887 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.888 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.888 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.888 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.888 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.888 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.888 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.888 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.888 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.888 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.888 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.888 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.889 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.889 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.889 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.889 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.889 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.889 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.889 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.889 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.889 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.889 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.891 * [taylor]: Taking taylor expansion of 0 in lambda2 1.895 * [taylor]: Taking taylor expansion of 0 in lambda2 1.900 * [taylor]: Taking taylor expansion of 0 in lambda2 1.900 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 1.900 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.900 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.900 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.900 * [taylor]: Taking taylor expansion of -1 in lambda2 1.900 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.901 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.901 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.901 * [taylor]: Taking taylor expansion of -1 in lambda2 1.901 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.901 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.901 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.901 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.901 * [taylor]: Taking taylor expansion of -1 in lambda1 1.901 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.901 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.901 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.901 * [taylor]: Taking taylor expansion of -1 in lambda1 1.901 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.902 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.902 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.902 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.902 * [taylor]: Taking taylor expansion of -1 in lambda1 1.902 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.902 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.902 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.902 * [taylor]: Taking taylor expansion of -1 in lambda1 1.902 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.902 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.902 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.902 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.902 * [taylor]: Taking taylor expansion of -1 in lambda2 1.902 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.902 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.902 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.902 * [taylor]: Taking taylor expansion of -1 in lambda2 1.902 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.905 * [taylor]: Taking taylor expansion of 0 in lambda2 1.908 * [taylor]: Taking taylor expansion of 0 in lambda2 1.914 * [taylor]: Taking taylor expansion of 0 in lambda2 1.914 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 1.914 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 1.914 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 1.914 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 1.914 * [taylor]: Taking taylor expansion of phi1 in phi2 1.914 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.914 * [taylor]: Taking taylor expansion of phi2 in phi2 1.914 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.914 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.914 * [taylor]: Taking taylor expansion of phi1 in phi1 1.914 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.914 * [taylor]: Taking taylor expansion of phi2 in phi1 1.914 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.914 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.914 * [taylor]: Taking taylor expansion of phi1 in phi1 1.914 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.914 * [taylor]: Taking taylor expansion of phi2 in phi1 1.915 * [taylor]: Taking taylor expansion of 0 in phi2 1.917 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.917 * [taylor]: Taking taylor expansion of phi2 in phi2 1.919 * [taylor]: Taking taylor expansion of 0 in phi2 1.924 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 1.924 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 1.924 * [taylor]: Taking taylor expansion of 1/6 in phi2 1.924 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.924 * [taylor]: Taking taylor expansion of phi2 in phi2 1.929 * [taylor]: Taking taylor expansion of 0 in phi2 1.929 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 1.930 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.930 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.930 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.930 * [taylor]: Taking taylor expansion of phi1 in phi2 1.930 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.930 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.930 * [taylor]: Taking taylor expansion of phi2 in phi2 1.930 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.930 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.930 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.930 * [taylor]: Taking taylor expansion of phi1 in phi1 1.930 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.930 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.930 * [taylor]: Taking taylor expansion of phi2 in phi1 1.930 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.931 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.931 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.931 * [taylor]: Taking taylor expansion of phi1 in phi1 1.931 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.931 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.931 * [taylor]: Taking taylor expansion of phi2 in phi1 1.931 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.931 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.931 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.931 * [taylor]: Taking taylor expansion of phi1 in phi2 1.931 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.932 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.932 * [taylor]: Taking taylor expansion of phi2 in phi2 1.934 * [taylor]: Taking taylor expansion of 0 in phi2 1.937 * [taylor]: Taking taylor expansion of 0 in phi2 1.943 * [taylor]: Taking taylor expansion of 0 in phi2 1.943 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 1.943 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.943 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.943 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.943 * [taylor]: Taking taylor expansion of -1 in phi2 1.943 * [taylor]: Taking taylor expansion of phi1 in phi2 1.943 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.943 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.943 * [taylor]: Taking taylor expansion of -1 in phi2 1.943 * [taylor]: Taking taylor expansion of phi2 in phi2 1.943 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.943 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.944 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.944 * [taylor]: Taking taylor expansion of -1 in phi1 1.944 * [taylor]: Taking taylor expansion of phi1 in phi1 1.944 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.944 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.944 * [taylor]: Taking taylor expansion of -1 in phi1 1.944 * [taylor]: Taking taylor expansion of phi2 in phi1 1.944 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.944 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.944 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.944 * [taylor]: Taking taylor expansion of -1 in phi1 1.944 * [taylor]: Taking taylor expansion of phi1 in phi1 1.944 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.944 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.944 * [taylor]: Taking taylor expansion of -1 in phi1 1.944 * [taylor]: Taking taylor expansion of phi2 in phi1 1.945 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.945 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.945 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.945 * [taylor]: Taking taylor expansion of -1 in phi2 1.945 * [taylor]: Taking taylor expansion of phi1 in phi2 1.945 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.945 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.945 * [taylor]: Taking taylor expansion of -1 in phi2 1.945 * [taylor]: Taking taylor expansion of phi2 in phi2 1.947 * [taylor]: Taking taylor expansion of 0 in phi2 1.951 * [taylor]: Taking taylor expansion of 0 in phi2 1.956 * [taylor]: Taking taylor expansion of 0 in phi2 1.957 * * * [progress]: simplifying candidates 1.958 * [simplify]: Simplifying using # : (expm1 (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (log1p (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (/ 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)))))))) (expm1 (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R)) (log1p (* (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) (+ (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) (expm1 (* (sin lambda1) (sin lambda2))) (log1p (* (sin lambda1) (sin lambda2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2)) (+ (log (sin lambda1)) (log (sin lambda2))) (log (* (sin lambda1) (sin lambda2))) (exp (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))) (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (* (sin lambda1) (sqrt (sin lambda2))) (* (sin lambda1) 1) (* (cbrt (sin lambda1)) (sin lambda2)) (* (sqrt (sin lambda1)) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (expm1 (* (sin phi1) (sin phi2))) (log1p (* (sin phi1) (sin phi2))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) R) (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 1.965 * * [simplify]: iteration 0 : 287 enodes (cost 1167 ) 1.970 * * [simplify]: iteration 1 : 891 enodes (cost 1012 ) 1.983 * * [simplify]: iteration 2 : 2111 enodes (cost 1012 ) 2.004 * * [simplify]: iteration 3 : 3397 enodes (cost 1012 ) 2.032 * * [simplify]: iteration 4 : 5002 enodes (cost 1012 ) 2.035 * [simplify]: Simplified to: (expm1 (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (log1p (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (/ 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)))))))) (expm1 (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R)) (log1p (* (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) (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) (expm1 (* (sin lambda1) (sin lambda2))) (log1p (* (sin lambda1) (sin lambda2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2)) (log (* (sin lambda1) (sin lambda2))) (log (* (sin lambda1) (sin lambda2))) (exp (* (sin lambda1) (sin lambda2))) (pow (* (sin lambda1) (sin lambda2)) 3) (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (pow (* (sin lambda1) (sin lambda2)) 3) (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (* (sin lambda1) (sqrt (sin lambda2))) (sin lambda1) (* (cbrt (sin lambda1)) (sin lambda2)) (* (sqrt (sin lambda1)) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (expm1 (* (sin phi1) (sin phi2))) (log1p (* (sin phi1) (sin phi2))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (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) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 2.036 * * * [progress]: adding candidates to table 2.553 * * [progress]: iteration 4 / 4 2.553 * * * [progress]: picking best candidate 2.652 * * * * [pick]: Picked # 2.652 * * * [progress]: localizing error 2.694 * * * [progress]: generating rewritten candidates 2.694 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 2.695 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.697 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 2.698 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.705 * * * [progress]: generating series expansions 2.705 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 2.706 * [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 2.706 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 2.706 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 2.707 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 2.707 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 2.707 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 2.708 * [taylor]: Taking 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 2.708 * [taylor]: Taking 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 2.708 * [taylor]: Taking 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 2.709 * [taylor]: Taking taylor expansion of 0 in phi2 2.709 * [taylor]: Taking taylor expansion of 0 in lambda1 2.709 * [taylor]: Taking taylor expansion of 0 in lambda2 2.709 * [taylor]: Taking taylor expansion of 0 in lambda1 2.709 * [taylor]: Taking taylor expansion of 0 in lambda2 2.709 * [taylor]: Taking taylor expansion of 0 in lambda2 2.709 * [taylor]: Taking taylor expansion of 0 in phi2 2.709 * [taylor]: Taking taylor expansion of 0 in lambda1 2.709 * [taylor]: Taking taylor expansion of 0 in lambda2 2.709 * [taylor]: Taking taylor expansion of 0 in lambda1 2.710 * [taylor]: Taking taylor expansion of 0 in lambda2 2.710 * [approximate]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.710 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda2 2.711 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda1 2.711 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi2 2.712 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi1 2.712 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi1 2.713 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi2 2.713 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda1 2.714 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda2 2.715 * [taylor]: Taking taylor expansion of 0 in phi2 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 lambda1 2.715 * [taylor]: Taking taylor expansion of 0 in lambda2 2.715 * [taylor]: Taking taylor expansion of 0 in lambda2 2.715 * [taylor]: Taking taylor expansion of 0 in phi2 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 lambda1 2.715 * [taylor]: Taking taylor expansion of 0 in lambda2 2.716 * [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 2.716 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 2.717 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 2.717 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 2.718 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 2.718 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 2.719 * [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 2.720 * [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 2.720 * [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 2.721 * [taylor]: Taking taylor expansion of 0 in phi2 2.721 * [taylor]: Taking taylor expansion of 0 in lambda1 2.721 * [taylor]: Taking taylor expansion of 0 in lambda2 2.721 * [taylor]: Taking taylor expansion of 0 in lambda1 2.721 * [taylor]: Taking taylor expansion of 0 in lambda2 2.721 * [taylor]: Taking taylor expansion of 0 in lambda2 2.721 * [taylor]: Taking taylor expansion of 0 in phi2 2.721 * [taylor]: Taking taylor expansion of 0 in lambda1 2.721 * [taylor]: Taking taylor expansion of 0 in lambda2 2.721 * [taylor]: Taking taylor expansion of 0 in lambda1 2.721 * [taylor]: Taking taylor expansion of 0 in lambda2 2.722 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.723 * [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 2.723 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 2.723 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 2.723 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 2.724 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 2.724 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 2.725 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 2.725 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 2.725 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 2.726 * [taylor]: Taking taylor expansion of 0 in phi2 2.726 * [taylor]: Taking taylor expansion of 0 in lambda1 2.726 * [taylor]: Taking taylor expansion of 0 in lambda2 2.726 * [taylor]: Taking taylor expansion of 0 in lambda1 2.726 * [taylor]: Taking taylor expansion of 0 in lambda2 2.726 * [taylor]: Taking taylor expansion of 0 in lambda2 2.726 * [taylor]: Taking taylor expansion of 0 in phi2 2.726 * [taylor]: Taking taylor expansion of 0 in lambda1 2.726 * [taylor]: Taking taylor expansion of 0 in lambda2 2.726 * [taylor]: Taking taylor expansion of 0 in lambda1 2.726 * [taylor]: Taking taylor expansion of 0 in lambda2 2.727 * [approximate]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.727 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda2 2.728 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda1 2.728 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi2 2.729 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi1 2.729 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi1 2.730 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi2 2.730 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda1 2.731 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda2 2.734 * [taylor]: Taking taylor expansion of 0 in phi2 2.734 * [taylor]: Taking taylor expansion of 0 in lambda1 2.734 * [taylor]: Taking taylor expansion of 0 in lambda2 2.734 * [taylor]: Taking taylor expansion of 0 in lambda1 2.734 * [taylor]: Taking taylor expansion of 0 in lambda2 2.734 * [taylor]: Taking taylor expansion of 0 in lambda2 2.734 * [taylor]: Taking taylor expansion of 0 in phi2 2.734 * [taylor]: Taking taylor expansion of 0 in lambda1 2.734 * [taylor]: Taking taylor expansion of 0 in lambda2 2.734 * [taylor]: Taking taylor expansion of 0 in lambda1 2.734 * [taylor]: Taking taylor expansion of 0 in lambda2 2.736 * [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 2.736 * [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 2.736 * [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 2.737 * [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 2.737 * [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 2.738 * [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 2.738 * [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 2.739 * [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 2.739 * [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 2.740 * [taylor]: Taking taylor expansion of 0 in phi2 2.740 * [taylor]: Taking taylor expansion of 0 in lambda1 2.740 * [taylor]: Taking taylor expansion of 0 in lambda2 2.740 * [taylor]: Taking taylor expansion of 0 in lambda1 2.740 * [taylor]: Taking taylor expansion of 0 in lambda2 2.740 * [taylor]: Taking taylor expansion of 0 in lambda2 2.740 * [taylor]: Taking taylor expansion of 0 in phi2 2.740 * [taylor]: Taking taylor expansion of 0 in lambda1 2.740 * [taylor]: Taking taylor expansion of 0 in lambda2 2.740 * [taylor]: Taking taylor expansion of 0 in lambda1 2.741 * [taylor]: Taking taylor expansion of 0 in lambda2 2.741 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 2.742 * [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 2.742 * [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 2.742 * [taylor]: Taking 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 2.743 * [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 2.743 * [taylor]: Taking 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 2.743 * [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 2.743 * [taylor]: Taking 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 2.744 * [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 2.744 * [taylor]: Taking 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 2.745 * [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 2.745 * [taylor]: Taking 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 2.746 * [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 2.746 * [taylor]: Taking 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 2.746 * [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 2.746 * [taylor]: Taking 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 2.747 * [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 2.747 * [taylor]: Taking 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 2.750 * [taylor]: Taking taylor expansion of 0 in phi2 2.750 * [taylor]: Taking taylor expansion of 0 in lambda1 2.750 * [taylor]: Taking taylor expansion of 0 in lambda2 2.751 * [taylor]: Taking taylor expansion of 0 in lambda1 2.751 * [taylor]: Taking taylor expansion of 0 in lambda2 2.751 * [taylor]: Taking taylor expansion of 0 in lambda2 2.753 * [taylor]: Taking taylor expansion of 0 in phi2 2.753 * [taylor]: Taking taylor expansion of 0 in lambda1 2.753 * [taylor]: Taking taylor expansion of 0 in lambda2 2.753 * [taylor]: Taking taylor expansion of 0 in lambda1 2.753 * [taylor]: Taking taylor expansion of 0 in lambda2 2.754 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.755 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))))))) in lambda2 2.755 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda2 2.756 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))))))) in lambda1 2.756 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda1 2.756 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))))))) in phi2 2.757 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi2 2.757 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))))))) in phi1 2.757 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi1 2.758 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))))))) in phi1 2.758 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi1 2.759 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))))))) in phi2 2.760 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi2 2.760 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))))))) in lambda1 2.760 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda1 2.761 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))))))) in lambda2 2.761 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda2 2.764 * [taylor]: Taking taylor expansion of 0 in phi2 2.764 * [taylor]: Taking taylor expansion of 0 in lambda1 2.764 * [taylor]: Taking taylor expansion of 0 in lambda2 2.765 * [taylor]: Taking taylor expansion of 0 in lambda1 2.765 * [taylor]: Taking taylor expansion of 0 in lambda2 2.766 * [taylor]: Taking taylor expansion of 0 in lambda2 2.768 * [taylor]: Taking taylor expansion of 0 in phi2 2.768 * [taylor]: Taking taylor expansion of 0 in lambda1 2.768 * [taylor]: Taking taylor expansion of 0 in lambda2 2.768 * [taylor]: Taking taylor expansion of 0 in lambda1 2.768 * [taylor]: Taking taylor expansion of 0 in lambda2 2.770 * [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 2.770 * [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 2.770 * [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 2.771 * [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 2.771 * [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 2.772 * [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 2.772 * [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 2.773 * [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 2.773 * [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 2.774 * [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 2.774 * [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 2.775 * [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 2.775 * [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 2.776 * [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 2.776 * [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 2.777 * [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 2.777 * [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 2.779 * [taylor]: Taking taylor expansion of 0 in phi2 2.779 * [taylor]: Taking taylor expansion of 0 in lambda1 2.779 * [taylor]: Taking taylor expansion of 0 in lambda2 2.780 * [taylor]: Taking taylor expansion of 0 in lambda1 2.781 * [taylor]: Taking taylor expansion of 0 in lambda2 2.782 * [taylor]: Taking taylor expansion of 0 in lambda2 2.784 * [taylor]: Taking taylor expansion of 0 in phi2 2.784 * [taylor]: Taking taylor expansion of 0 in lambda1 2.784 * [taylor]: Taking taylor expansion of 0 in lambda2 2.784 * [taylor]: Taking taylor expansion of 0 in lambda1 2.784 * [taylor]: Taking taylor expansion of 0 in lambda2 2.785 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.785 * [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 2.785 * [taylor]: Taking 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 2.785 * [taylor]: Taking 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 2.786 * [taylor]: Taking taylor expansion of R in R 2.786 * [taylor]: Taking 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 2.786 * [taylor]: Taking 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 2.786 * [taylor]: Taking taylor expansion of R in lambda2 2.786 * [taylor]: Taking 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 2.786 * [taylor]: Taking 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 2.787 * [taylor]: Taking taylor expansion of R in lambda1 2.787 * [taylor]: Taking 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 2.787 * [taylor]: Taking 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 2.787 * [taylor]: Taking taylor expansion of R in phi2 2.787 * [taylor]: Taking 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 2.787 * [taylor]: Taking 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 2.787 * [taylor]: Taking taylor expansion of R in phi1 2.788 * [taylor]: Taking 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 2.788 * [taylor]: Taking 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 2.788 * [taylor]: Taking taylor expansion of R in phi1 2.788 * [taylor]: Taking 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 2.788 * [taylor]: Taking 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 2.789 * [taylor]: Taking taylor expansion of R in phi2 2.789 * [taylor]: Taking 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 2.789 * [taylor]: Taking 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 2.789 * [taylor]: Taking taylor expansion of R in lambda1 2.790 * [taylor]: Taking 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 2.790 * [taylor]: Taking 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 2.790 * [taylor]: Taking taylor expansion of R in lambda2 2.791 * [taylor]: Taking 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 2.791 * [taylor]: Taking 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 2.791 * [taylor]: Taking taylor expansion of R in R 2.792 * [taylor]: Taking taylor expansion of 0 in phi2 2.792 * [taylor]: Taking taylor expansion of 0 in lambda1 2.792 * [taylor]: Taking taylor expansion of 0 in lambda2 2.792 * [taylor]: Taking taylor expansion of 0 in R 2.792 * [taylor]: Taking taylor expansion of 0 in lambda1 2.792 * [taylor]: Taking taylor expansion of 0 in lambda2 2.792 * [taylor]: Taking taylor expansion of 0 in R 2.793 * [taylor]: Taking taylor expansion of 0 in lambda2 2.793 * [taylor]: Taking taylor expansion of 0 in R 2.793 * [taylor]: Taking taylor expansion of 0 in R 2.795 * [taylor]: Taking taylor expansion of 0 in phi2 2.795 * [taylor]: Taking taylor expansion of 0 in lambda1 2.795 * [taylor]: Taking taylor expansion of 0 in lambda2 2.795 * [taylor]: Taking taylor expansion of 0 in R 2.795 * [taylor]: Taking taylor expansion of 0 in lambda1 2.795 * [taylor]: Taking taylor expansion of 0 in lambda2 2.795 * [taylor]: Taking taylor expansion of 0 in R 2.796 * [taylor]: Taking taylor expansion of 0 in lambda1 2.796 * [taylor]: Taking taylor expansion of 0 in lambda2 2.796 * [taylor]: Taking taylor expansion of 0 in R 2.796 * [taylor]: Taking taylor expansion of 0 in lambda2 2.796 * [taylor]: Taking taylor expansion of 0 in R 2.796 * [taylor]: Taking taylor expansion of 0 in lambda2 2.796 * [taylor]: Taking taylor expansion of 0 in R 2.797 * [taylor]: Taking taylor expansion of 0 in lambda2 2.797 * [taylor]: Taking taylor expansion of 0 in R 2.798 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 2.798 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in R 2.798 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in R 2.799 * [taylor]: Taking taylor expansion of R in R 2.799 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in lambda2 2.799 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda2 2.800 * [taylor]: Taking taylor expansion of R in lambda2 2.800 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in lambda1 2.801 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda1 2.801 * [taylor]: Taking taylor expansion of R in lambda1 2.802 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in phi2 2.802 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi2 2.802 * [taylor]: Taking taylor expansion of R in phi2 2.803 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in phi1 2.803 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi1 2.803 * [taylor]: Taking taylor expansion of R in phi1 2.804 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in phi1 2.804 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi1 2.804 * [taylor]: Taking taylor expansion of R in phi1 2.805 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in phi2 2.805 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi2 2.805 * [taylor]: Taking taylor expansion of R in phi2 2.806 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in lambda1 2.806 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda1 2.806 * [taylor]: Taking taylor expansion of R in lambda1 2.807 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in lambda2 2.807 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda2 2.807 * [taylor]: Taking taylor expansion of R in lambda2 2.808 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in R 2.808 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in R 2.808 * [taylor]: Taking taylor expansion of R in R 2.810 * [taylor]: Taking taylor expansion of 0 in phi2 2.810 * [taylor]: Taking taylor expansion of 0 in lambda1 2.810 * [taylor]: Taking taylor expansion of 0 in lambda2 2.810 * [taylor]: Taking taylor expansion of 0 in R 2.811 * [taylor]: Taking taylor expansion of 0 in lambda1 2.811 * [taylor]: Taking taylor expansion of 0 in lambda2 2.811 * [taylor]: Taking taylor expansion of 0 in R 2.814 * [taylor]: Taking taylor expansion of 0 in lambda2 2.814 * [taylor]: Taking taylor expansion of 0 in R 2.814 * [taylor]: Taking taylor expansion of 0 in R 2.816 * [taylor]: Taking taylor expansion of 0 in phi2 2.816 * [taylor]: Taking taylor expansion of 0 in lambda1 2.816 * [taylor]: Taking taylor expansion of 0 in lambda2 2.816 * [taylor]: Taking taylor expansion of 0 in R 2.816 * [taylor]: Taking taylor expansion of 0 in lambda1 2.816 * [taylor]: Taking taylor expansion of 0 in lambda2 2.816 * [taylor]: Taking taylor expansion of 0 in R 2.817 * [taylor]: Taking taylor expansion of 0 in lambda1 2.817 * [taylor]: Taking taylor expansion of 0 in lambda2 2.817 * [taylor]: Taking taylor expansion of 0 in R 2.817 * [taylor]: Taking taylor expansion of 0 in lambda2 2.817 * [taylor]: Taking taylor expansion of 0 in R 2.817 * [taylor]: Taking taylor expansion of 0 in lambda2 2.817 * [taylor]: Taking taylor expansion of 0 in R 2.818 * [taylor]: Taking taylor expansion of 0 in lambda2 2.818 * [taylor]: Taking taylor expansion of 0 in R 2.818 * [taylor]: Taking taylor expansion of 0 in R 2.818 * [taylor]: Taking taylor expansion of 0 in R 2.818 * [taylor]: Taking taylor expansion of 0 in R 2.819 * [taylor]: Taking taylor expansion of 0 in R 2.822 * [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 2.822 * [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 2.822 * [taylor]: Taking taylor expansion of -1 in R 2.822 * [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 2.822 * [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 2.823 * [taylor]: Taking taylor expansion of R in R 2.823 * [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 2.823 * [taylor]: Taking taylor expansion of -1 in lambda2 2.823 * [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 2.823 * [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 2.824 * [taylor]: Taking taylor expansion of R in lambda2 2.824 * [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 2.824 * [taylor]: Taking taylor expansion of -1 in lambda1 2.824 * [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 2.824 * [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 2.825 * [taylor]: Taking taylor expansion of R in lambda1 2.825 * [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 2.825 * [taylor]: Taking taylor expansion of -1 in phi2 2.825 * [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 2.825 * [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 2.826 * [taylor]: Taking taylor expansion of R in phi2 2.826 * [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 2.826 * [taylor]: Taking taylor expansion of -1 in phi1 2.826 * [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 2.826 * [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 2.827 * [taylor]: Taking taylor expansion of R in phi1 2.827 * [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 2.827 * [taylor]: Taking taylor expansion of -1 in phi1 2.827 * [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 2.827 * [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 2.828 * [taylor]: Taking taylor expansion of R in phi1 2.829 * [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 2.829 * [taylor]: Taking taylor expansion of -1 in phi2 2.829 * [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 2.829 * [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 2.830 * [taylor]: Taking taylor expansion of R in phi2 2.831 * [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 2.831 * [taylor]: Taking taylor expansion of -1 in lambda1 2.831 * [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 2.831 * [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 2.831 * [taylor]: Taking taylor expansion of R in lambda1 2.832 * [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 2.832 * [taylor]: Taking taylor expansion of -1 in lambda2 2.832 * [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 2.832 * [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 2.833 * [taylor]: Taking taylor expansion of R in lambda2 2.834 * [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 2.834 * [taylor]: Taking taylor expansion of -1 in R 2.834 * [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 2.834 * [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 2.834 * [taylor]: Taking taylor expansion of R in R 2.838 * [taylor]: Taking taylor expansion of 0 in phi2 2.838 * [taylor]: Taking taylor expansion of 0 in lambda1 2.838 * [taylor]: Taking taylor expansion of 0 in lambda2 2.838 * [taylor]: Taking taylor expansion of 0 in R 2.839 * [taylor]: Taking taylor expansion of 0 in lambda1 2.839 * [taylor]: Taking taylor expansion of 0 in lambda2 2.839 * [taylor]: Taking taylor expansion of 0 in R 2.841 * [taylor]: Taking taylor expansion of 0 in lambda2 2.841 * [taylor]: Taking taylor expansion of 0 in R 2.842 * [taylor]: Taking taylor expansion of 0 in R 2.846 * [taylor]: Taking taylor expansion of 0 in phi2 2.846 * [taylor]: Taking taylor expansion of 0 in lambda1 2.846 * [taylor]: Taking taylor expansion of 0 in lambda2 2.846 * [taylor]: Taking taylor expansion of 0 in R 2.846 * [taylor]: Taking taylor expansion of 0 in lambda1 2.846 * [taylor]: Taking taylor expansion of 0 in lambda2 2.846 * [taylor]: Taking taylor expansion of 0 in R 2.848 * [taylor]: Taking taylor expansion of 0 in lambda1 2.848 * [taylor]: Taking taylor expansion of 0 in lambda2 2.848 * [taylor]: Taking taylor expansion of 0 in R 2.848 * [taylor]: Taking taylor expansion of 0 in lambda2 2.848 * [taylor]: Taking taylor expansion of 0 in R 2.848 * [taylor]: Taking taylor expansion of 0 in lambda2 2.848 * [taylor]: Taking taylor expansion of 0 in R 2.849 * [taylor]: Taking taylor expansion of 0 in lambda2 2.850 * [taylor]: Taking taylor expansion of 0 in R 2.850 * [taylor]: Taking taylor expansion of 0 in R 2.850 * [taylor]: Taking taylor expansion of 0 in R 2.850 * [taylor]: Taking taylor expansion of 0 in R 2.851 * [taylor]: Taking taylor expansion of 0 in R 2.855 * * * [progress]: simplifying candidates 2.856 * [simplify]: Simplifying using # : (expm1 (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (log1p (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (/ 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)))))))) (expm1 (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))))) (log1p (log (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))))))))) (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)))))))))) (expm1 (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))))) (log1p (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 lambda1) (sin lambda2))))))))) (exp 1) (exp (/ PI 2)) (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))))))))) (exp (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))))))))) (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))))))))) (* (* (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 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(sin phi2))))) R) 2.864 * * [simplify]: iteration 0 : 207 enodes (cost 2029 ) 2.867 * * [simplify]: iteration 1 : 450 enodes (cost 1785 ) 2.874 * * [simplify]: iteration 2 : 1073 enodes (cost 1779 ) 2.884 * * [simplify]: iteration 3 : 1476 enodes (cost 1779 ) 2.904 * * [simplify]: iteration 4 : 3756 enodes (cost 1775 ) 2.970 * * [simplify]: iteration 5 : 5001 enodes (cost 1775 ) 2.976 * [simplify]: Simplified to: (expm1 (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (log1p (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (/ 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) 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(sin lambda1) (sin lambda2))))))) (exp (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))))))))) (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))))))))) (pow (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) 3) (pow (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos 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(cos lambda2))))))) R)) (log (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) R)) (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))))))) (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) R) (* 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))))))))) (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos 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))))))) (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)))))))) (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) R) (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) R) (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) R) 2.977 * * * [progress]: adding candidates to table 3.382 * [progress]: [Phase 3 of 3] Extracting. 3.382 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # # # # #) 3.411 * * * [regime-changes]: Trying 7 branch expressions: ((- lambda1 lambda2) (cos (- lambda1 lambda2)) phi2 phi1 lambda2 lambda1 R) 3.411 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (# # # # # # # # # # # # # # # # # # # #) 3.552 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (# #) 3.574 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (# # # # # # # # # # # # # # # # # # # #) 3.718 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (# #) 3.743 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # # # # # # # # # # # # #) 3.881 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # # # # # # # # # # # # #) 4.019 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # # # # # # # # # # # # # #) 4.157 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # # # # # # # # # # # # #) 4.297 * * * * [regimes]: Trying to branch on R from (# # # # # # # # # # # # # # # # # # # #) 4.436 * * * [regime]: Found split indices: #