9.022 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.314 * * * [progress]: [2/2] Setting up program. 0.318 * [progress]: [Phase 2 of 3] Improving. 0.318 * [simplify]: Simplifying using # : (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.320 * * [simplify]: iteration 0 : 26 enodes (cost 12 ) 0.322 * * [simplify]: iteration 1 : 34 enodes (cost 12 ) 0.323 * * [simplify]: iteration 2 : 36 enodes (cost 12 ) 0.324 * * [simplify]: iteration 3 : 36 enodes (cost 12 ) 0.324 * [simplify]: Simplified to: (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.325 * * [progress]: iteration 1 / 4 0.325 * * * [progress]: picking best candidate 0.328 * * * * [pick]: Picked # 0.328 * * * [progress]: localizing error 0.358 * * * [progress]: generating rewritten candidates 0.358 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 0.362 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.364 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.368 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 0.376 * * * [progress]: generating series expansions 0.376 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 0.376 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 0.376 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 0.376 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 0.376 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.376 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.377 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.377 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.377 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.377 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.377 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.377 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.377 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.377 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.378 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.378 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.378 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.380 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 0.380 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 0.380 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.380 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.383 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 0.383 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 0.383 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.383 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.383 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.383 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.386 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 0.386 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.386 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.386 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.386 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.386 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.386 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.387 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.387 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.387 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.387 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.387 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.387 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.387 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.387 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.387 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.387 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.388 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.388 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.388 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.388 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.388 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.388 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.388 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.388 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.389 * [taylor]: Taking taylor expansion of 0 in lambda2 0.389 * [taylor]: Taking taylor expansion of 0 in lambda2 0.389 * [taylor]: Taking taylor expansion of 0 in lambda2 0.389 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 0.389 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.389 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.389 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.389 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.390 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.390 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.390 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.390 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.390 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.390 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.390 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.390 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.391 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.391 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.391 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.391 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.391 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.391 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.392 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.392 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.392 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.392 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.392 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.392 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.393 * [taylor]: Taking taylor expansion of 0 in lambda2 0.393 * [taylor]: Taking taylor expansion of 0 in lambda2 0.393 * [taylor]: Taking taylor expansion of 0 in lambda2 0.393 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.393 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.393 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.393 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.394 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.394 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.394 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.394 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.394 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.395 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.395 * [taylor]: Taking taylor expansion of 0 in phi2 0.395 * [taylor]: Taking taylor expansion of 0 in lambda1 0.395 * [taylor]: Taking taylor expansion of 0 in lambda2 0.395 * [taylor]: Taking taylor expansion of 0 in lambda1 0.395 * [taylor]: Taking taylor expansion of 0 in lambda2 0.395 * [taylor]: Taking taylor expansion of 0 in lambda2 0.395 * [taylor]: Taking taylor expansion of 0 in phi2 0.395 * [taylor]: Taking taylor expansion of 0 in lambda1 0.395 * [taylor]: Taking taylor expansion of 0 in lambda2 0.395 * [taylor]: Taking taylor expansion of 0 in lambda1 0.395 * [taylor]: Taking taylor expansion of 0 in lambda2 0.396 * [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 0.396 * [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 0.396 * [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 0.396 * [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 0.397 * [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 0.397 * [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 0.397 * [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 0.397 * [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 0.398 * [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 0.398 * [taylor]: Taking taylor expansion of 0 in phi2 0.398 * [taylor]: Taking taylor expansion of 0 in lambda1 0.398 * [taylor]: Taking taylor expansion of 0 in lambda2 0.398 * [taylor]: Taking taylor expansion of 0 in lambda1 0.398 * [taylor]: Taking taylor expansion of 0 in lambda2 0.398 * [taylor]: Taking taylor expansion of 0 in lambda2 0.399 * [taylor]: Taking taylor expansion of 0 in phi2 0.399 * [taylor]: Taking taylor expansion of 0 in lambda1 0.399 * [taylor]: Taking taylor expansion of 0 in lambda2 0.399 * [taylor]: Taking taylor expansion of 0 in lambda1 0.399 * [taylor]: Taking taylor expansion of 0 in lambda2 0.399 * [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 0.399 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 0.400 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 0.400 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 0.400 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 0.400 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 0.401 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 0.401 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 0.401 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 0.402 * [taylor]: Taking taylor expansion of 0 in phi2 0.402 * [taylor]: Taking taylor expansion of 0 in lambda1 0.402 * [taylor]: Taking taylor expansion of 0 in lambda2 0.402 * [taylor]: Taking taylor expansion of 0 in lambda1 0.402 * [taylor]: Taking taylor expansion of 0 in lambda2 0.402 * [taylor]: Taking taylor expansion of 0 in lambda2 0.402 * [taylor]: Taking taylor expansion of 0 in phi2 0.402 * [taylor]: Taking taylor expansion of 0 in lambda1 0.402 * [taylor]: Taking taylor expansion of 0 in lambda2 0.402 * [taylor]: Taking taylor expansion of 0 in lambda1 0.402 * [taylor]: Taking taylor expansion of 0 in lambda2 0.403 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.403 * [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 0.403 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.403 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.403 * [taylor]: Taking taylor expansion of R in R 0.403 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.403 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.403 * [taylor]: Taking taylor expansion of R in lambda2 0.403 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.403 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.403 * [taylor]: Taking taylor expansion of R in lambda1 0.404 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.404 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.404 * [taylor]: Taking taylor expansion of R in phi2 0.404 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.404 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.404 * [taylor]: Taking taylor expansion of R in phi1 0.404 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.404 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.404 * [taylor]: Taking taylor expansion of R in phi1 0.404 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.404 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.405 * [taylor]: Taking taylor expansion of R in phi2 0.405 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.405 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.405 * [taylor]: Taking taylor expansion of R in lambda1 0.405 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.405 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.405 * [taylor]: Taking taylor expansion of R in lambda2 0.406 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.406 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.406 * [taylor]: Taking taylor expansion of R 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 0.407 * [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 R 0.409 * [taylor]: Taking taylor expansion of 0 in phi2 0.409 * [taylor]: Taking taylor expansion of 0 in lambda1 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 lambda1 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 lambda1 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 lambda2 0.409 * [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 0.410 * [taylor]: Taking taylor expansion of 0 in lambda2 0.410 * [taylor]: Taking taylor expansion of 0 in R 0.411 * [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 0.411 * [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 0.411 * [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 0.411 * [taylor]: Taking taylor expansion of R in R 0.411 * [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 0.411 * [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 0.412 * [taylor]: Taking taylor expansion of R in lambda2 0.412 * [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 0.412 * [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 0.412 * [taylor]: Taking taylor expansion of R in lambda1 0.413 * [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 0.413 * [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 0.413 * [taylor]: Taking taylor expansion of R in phi2 0.413 * [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 0.413 * [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 0.414 * [taylor]: Taking taylor expansion of R in phi1 0.414 * [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 0.414 * [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 0.414 * [taylor]: Taking taylor expansion of R in phi1 0.414 * [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 0.414 * [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 0.415 * [taylor]: Taking taylor expansion of R in phi2 0.415 * [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 0.415 * [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 0.415 * [taylor]: Taking taylor expansion of R in lambda1 0.416 * [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 0.416 * [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 0.416 * [taylor]: Taking taylor expansion of R in lambda2 0.416 * [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 0.416 * [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 0.417 * [taylor]: Taking taylor expansion of R in R 0.418 * [taylor]: Taking taylor expansion of 0 in phi2 0.418 * [taylor]: Taking taylor expansion of 0 in lambda1 0.418 * [taylor]: Taking taylor expansion of 0 in lambda2 0.418 * [taylor]: Taking taylor expansion of 0 in R 0.418 * [taylor]: Taking taylor expansion of 0 in lambda1 0.418 * [taylor]: Taking taylor expansion of 0 in lambda2 0.418 * [taylor]: Taking taylor expansion of 0 in R 0.419 * [taylor]: Taking taylor expansion of 0 in lambda2 0.419 * [taylor]: Taking taylor expansion of 0 in R 0.419 * [taylor]: Taking taylor expansion of 0 in R 0.420 * [taylor]: Taking taylor expansion of 0 in phi2 0.420 * [taylor]: Taking taylor expansion of 0 in lambda1 0.420 * [taylor]: Taking taylor expansion of 0 in lambda2 0.420 * [taylor]: Taking taylor expansion of 0 in R 0.420 * [taylor]: Taking taylor expansion of 0 in lambda1 0.420 * [taylor]: Taking taylor expansion of 0 in lambda2 0.421 * [taylor]: Taking taylor expansion of 0 in R 0.421 * [taylor]: Taking taylor expansion of 0 in lambda1 0.421 * [taylor]: Taking taylor expansion of 0 in lambda2 0.421 * [taylor]: Taking taylor expansion of 0 in R 0.421 * [taylor]: Taking taylor expansion of 0 in lambda2 0.421 * [taylor]: Taking taylor expansion of 0 in R 0.421 * [taylor]: Taking taylor expansion of 0 in lambda2 0.421 * [taylor]: Taking taylor expansion of 0 in R 0.421 * [taylor]: Taking taylor expansion of 0 in lambda2 0.421 * [taylor]: Taking taylor expansion of 0 in R 0.421 * [taylor]: Taking taylor expansion of 0 in R 0.422 * [taylor]: Taking taylor expansion of 0 in R 0.422 * [taylor]: Taking taylor expansion of 0 in R 0.422 * [taylor]: Taking taylor expansion of 0 in R 0.424 * [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 0.424 * [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 0.424 * [taylor]: Taking taylor expansion of -1 in R 0.424 * [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 0.424 * [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 0.425 * [taylor]: Taking taylor expansion of R in R 0.425 * [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 0.425 * [taylor]: Taking taylor expansion of -1 in lambda2 0.425 * [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 0.425 * [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 0.425 * [taylor]: Taking taylor expansion of R in lambda2 0.426 * [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 0.426 * [taylor]: Taking taylor expansion of -1 in lambda1 0.426 * [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 0.426 * [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 0.426 * [taylor]: Taking taylor expansion of R in lambda1 0.426 * [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 0.426 * [taylor]: Taking taylor expansion of -1 in phi2 0.426 * [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 0.426 * [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 0.427 * [taylor]: Taking taylor expansion of R in phi2 0.427 * [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 0.427 * [taylor]: Taking taylor expansion of -1 in phi1 0.427 * [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 0.427 * [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 0.427 * [taylor]: Taking taylor expansion of R in phi1 0.427 * [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 0.427 * [taylor]: Taking taylor expansion of -1 in phi1 0.427 * [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 0.427 * [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 0.428 * [taylor]: Taking taylor expansion of R in phi1 0.428 * [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 0.428 * [taylor]: Taking taylor expansion of -1 in phi2 0.428 * [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 0.428 * [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 0.429 * [taylor]: Taking taylor expansion of R in phi2 0.429 * [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 0.429 * [taylor]: Taking taylor expansion of -1 in lambda1 0.429 * [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 0.429 * [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 0.430 * [taylor]: Taking taylor expansion of R in lambda1 0.430 * [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 0.430 * [taylor]: Taking taylor expansion of -1 in lambda2 0.430 * [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 0.430 * [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 0.431 * [taylor]: Taking taylor expansion of R in lambda2 0.431 * [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 0.431 * [taylor]: Taking taylor expansion of -1 in R 0.431 * [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 0.431 * [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 0.431 * [taylor]: Taking taylor expansion of R in R 0.433 * [taylor]: Taking taylor expansion of 0 in phi2 0.433 * [taylor]: Taking taylor expansion of 0 in lambda1 0.433 * [taylor]: Taking taylor expansion of 0 in lambda2 0.433 * [taylor]: Taking taylor expansion of 0 in R 0.434 * [taylor]: Taking taylor expansion of 0 in lambda1 0.434 * [taylor]: Taking taylor expansion of 0 in lambda2 0.434 * [taylor]: Taking taylor expansion of 0 in R 0.435 * [taylor]: Taking taylor expansion of 0 in lambda2 0.435 * [taylor]: Taking taylor expansion of 0 in R 0.436 * [taylor]: Taking taylor expansion of 0 in R 0.439 * [taylor]: Taking taylor expansion of 0 in phi2 0.439 * [taylor]: Taking taylor expansion of 0 in lambda1 0.439 * [taylor]: Taking taylor expansion of 0 in lambda2 0.439 * [taylor]: Taking taylor expansion of 0 in R 0.439 * [taylor]: Taking taylor expansion of 0 in lambda1 0.439 * [taylor]: Taking taylor expansion of 0 in lambda2 0.439 * [taylor]: Taking taylor expansion of 0 in R 0.440 * [taylor]: Taking taylor expansion of 0 in lambda1 0.440 * [taylor]: Taking taylor expansion of 0 in lambda2 0.440 * [taylor]: Taking taylor expansion of 0 in R 0.440 * [taylor]: Taking taylor expansion of 0 in lambda2 0.440 * [taylor]: Taking taylor expansion of 0 in R 0.440 * [taylor]: Taking taylor expansion of 0 in lambda2 0.440 * [taylor]: Taking taylor expansion of 0 in R 0.442 * [taylor]: Taking taylor expansion of 0 in lambda2 0.442 * [taylor]: Taking taylor expansion of 0 in R 0.442 * [taylor]: Taking taylor expansion of 0 in R 0.442 * [taylor]: Taking taylor expansion of 0 in R 0.442 * [taylor]: Taking taylor expansion of 0 in R 0.443 * [taylor]: Taking taylor expansion of 0 in R 0.446 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 0.446 * [approximate]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))) in (phi1 phi2 lambda1 lambda2) around 0 0.446 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))) in lambda2 0.446 * [taylor]: Taking taylor expansion of (cos phi1) in lambda2 0.446 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.446 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos (- lambda1 lambda2))) in lambda2 0.446 * [taylor]: Taking taylor expansion of (cos phi2) in lambda2 0.446 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.446 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 0.446 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 0.446 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.446 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.446 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))) in lambda1 0.446 * [taylor]: Taking taylor expansion of (cos phi1) in lambda1 0.450 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.450 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos (- lambda1 lambda2))) in lambda1 0.450 * [taylor]: Taking taylor expansion of (cos phi2) in lambda1 0.450 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.450 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.450 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.450 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.450 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.450 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))) in phi2 0.450 * [taylor]: Taking taylor expansion of (cos phi1) in phi2 0.450 * [taylor]: Taking taylor expansion of phi1 in phi2 0.450 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos (- lambda1 lambda2))) in phi2 0.450 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 0.450 * [taylor]: Taking taylor expansion of phi2 in phi2 0.450 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi2 0.450 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi2 0.450 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.450 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.450 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))) in phi1 0.450 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 0.451 * [taylor]: Taking taylor expansion of phi1 in phi1 0.451 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos (- lambda1 lambda2))) in phi1 0.451 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 0.451 * [taylor]: Taking taylor expansion of phi2 in phi1 0.451 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi1 0.451 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi1 0.451 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.451 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.451 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))) in phi1 0.451 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 0.451 * [taylor]: Taking taylor expansion of phi1 in phi1 0.451 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos (- lambda1 lambda2))) in phi1 0.451 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 0.451 * [taylor]: Taking taylor expansion of phi2 in phi1 0.451 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi1 0.451 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi1 0.451 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.451 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.452 * [taylor]: Taking taylor expansion of (* (cos (- lambda1 lambda2)) (cos phi2)) in phi2 0.452 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi2 0.452 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi2 0.452 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.452 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.452 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 0.452 * [taylor]: Taking taylor expansion of phi2 in phi2 0.453 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.453 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.453 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.453 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.453 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.453 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.453 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.458 * [taylor]: Taking taylor expansion of 0 in phi2 0.458 * [taylor]: Taking taylor expansion of 0 in lambda1 0.458 * [taylor]: Taking taylor expansion of 0 in lambda2 0.460 * [taylor]: Taking taylor expansion of 0 in lambda1 0.460 * [taylor]: Taking taylor expansion of 0 in lambda2 0.462 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 0.462 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 0.462 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.462 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.469 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (cos (- lambda1 lambda2)) (cos phi2)))) in phi2 0.469 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos (- lambda1 lambda2)) (cos phi2))) in phi2 0.469 * [taylor]: Taking taylor expansion of 1/2 in phi2 0.469 * [taylor]: Taking taylor expansion of (* (cos (- lambda1 lambda2)) (cos phi2)) in phi2 0.469 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi2 0.469 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi2 0.469 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.469 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.469 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 0.469 * [taylor]: Taking taylor expansion of phi2 in phi2 0.470 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda1 lambda2)))) in lambda1 0.470 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda1 lambda2))) in lambda1 0.470 * [taylor]: Taking taylor expansion of 1/2 in lambda1 0.470 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.470 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.470 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.470 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.470 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 0.470 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 0.470 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.470 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.470 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.470 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.471 * [taylor]: Taking taylor expansion of 0 in lambda1 0.471 * [taylor]: Taking taylor expansion of 0 in lambda2 0.475 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda1 lambda2)))) in lambda1 0.475 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda1 lambda2))) in lambda1 0.475 * [taylor]: Taking taylor expansion of 1/2 in lambda1 0.475 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.475 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.475 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.475 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.475 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 0.475 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 0.475 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.475 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.475 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.475 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.477 * [approximate]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in (phi1 phi2 lambda1 lambda2) around 0 0.477 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in lambda2 0.477 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.477 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.477 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.477 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.477 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.477 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.478 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in lambda2 0.478 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 0.478 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 0.478 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.478 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 0.478 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 0.478 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.478 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in lambda1 0.478 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.478 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.478 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.478 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.478 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.478 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.479 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in lambda1 0.479 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 0.479 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 0.479 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.479 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 0.479 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 0.479 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.479 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in phi2 0.479 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in phi2 0.479 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2 0.479 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 0.479 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.479 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 0.479 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.479 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in phi2 0.479 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 0.479 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.479 * [taylor]: Taking taylor expansion of phi2 in phi2 0.480 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 0.480 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.480 * [taylor]: Taking taylor expansion of phi1 in phi2 0.480 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in phi1 0.480 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in phi1 0.480 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1 0.480 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 0.480 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.480 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 0.480 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.480 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in phi1 0.480 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 0.480 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.480 * [taylor]: Taking taylor expansion of phi2 in phi1 0.480 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 0.480 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.480 * [taylor]: Taking taylor expansion of phi1 in phi1 0.481 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in phi1 0.481 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in phi1 0.481 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1 0.481 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 0.481 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.481 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 0.481 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.481 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in phi1 0.481 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 0.481 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.481 * [taylor]: Taking taylor expansion of phi2 in phi1 0.481 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 0.481 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.481 * [taylor]: Taking taylor expansion of phi1 in phi1 0.482 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) 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 phi1 in phi2 0.483 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2)))) in phi2 0.483 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 0.483 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.483 * [taylor]: Taking taylor expansion of phi2 in phi2 0.483 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in phi2 0.483 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2 0.483 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 0.483 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.483 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 0.483 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.484 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in lambda1 0.484 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.484 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.484 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.484 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.485 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.485 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.485 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in lambda1 0.485 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 0.485 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 0.485 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.485 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 0.485 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 0.485 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.486 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) in lambda2 0.486 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 0.486 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 0.486 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.486 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2)))) in lambda2 0.486 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 0.486 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 0.486 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.486 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.486 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.486 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.486 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.486 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.486 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.493 * [taylor]: Taking taylor expansion of 0 in phi2 0.493 * [taylor]: Taking taylor expansion of 0 in lambda1 0.493 * [taylor]: Taking taylor expansion of 0 in lambda2 0.497 * [taylor]: Taking taylor expansion of 0 in lambda1 0.497 * [taylor]: Taking taylor expansion of 0 in lambda2 0.500 * [taylor]: Taking taylor expansion of 0 in lambda2 0.509 * [taylor]: Taking taylor expansion of 0 in phi2 0.510 * [taylor]: Taking taylor expansion of 0 in lambda1 0.510 * [taylor]: Taking taylor expansion of 0 in lambda2 0.510 * [taylor]: Taking taylor expansion of 0 in lambda1 0.510 * [taylor]: Taking taylor expansion of 0 in lambda2 0.510 * [approximate]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in (phi1 phi2 lambda1 lambda2) around 0 0.510 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda2 0.510 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 0.510 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 0.510 * [taylor]: Taking taylor expansion of -1 in lambda2 0.510 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.510 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda2 0.510 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 0.510 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 0.510 * [taylor]: Taking taylor expansion of -1 in lambda2 0.510 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.510 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.510 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.510 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.510 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.511 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.511 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.511 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda1 0.511 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 0.511 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 0.511 * [taylor]: Taking taylor expansion of -1 in lambda1 0.511 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.511 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda1 0.511 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 0.511 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 0.511 * [taylor]: Taking taylor expansion of -1 in lambda1 0.511 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.511 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.511 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.511 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.511 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.511 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.511 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.512 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi2 0.512 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 0.512 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.512 * [taylor]: Taking taylor expansion of -1 in phi2 0.512 * [taylor]: Taking taylor expansion of phi1 in phi2 0.512 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in phi2 0.512 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 0.512 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.512 * [taylor]: Taking taylor expansion of -1 in phi2 0.512 * [taylor]: Taking taylor expansion of phi2 in phi2 0.513 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in phi2 0.513 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi2 0.513 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 0.513 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.513 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 0.513 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.513 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi1 0.513 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 0.513 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.513 * [taylor]: Taking taylor expansion of -1 in phi1 0.513 * [taylor]: Taking taylor expansion of phi1 in phi1 0.514 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in phi1 0.514 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 0.514 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.514 * [taylor]: Taking taylor expansion of -1 in phi1 0.514 * [taylor]: Taking taylor expansion of phi2 in phi1 0.514 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in phi1 0.514 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi1 0.514 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 0.514 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.514 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 0.514 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.514 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi1 0.514 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 0.514 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.514 * [taylor]: Taking taylor expansion of -1 in phi1 0.514 * [taylor]: Taking taylor expansion of phi1 in phi1 0.514 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in phi1 0.514 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 0.514 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.514 * [taylor]: Taking taylor expansion of -1 in phi1 0.515 * [taylor]: Taking taylor expansion of phi2 in phi1 0.515 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in phi1 0.515 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi1 0.515 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 0.515 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.515 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 0.515 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.516 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi2 0.516 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 0.516 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.516 * [taylor]: Taking taylor expansion of -1 in phi2 0.516 * [taylor]: Taking taylor expansion of phi1 in phi2 0.516 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in phi2 0.516 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 0.516 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.516 * [taylor]: Taking taylor expansion of -1 in phi2 0.516 * [taylor]: Taking taylor expansion of phi2 in phi2 0.516 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in phi2 0.517 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi2 0.517 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 0.517 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.517 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 0.517 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.518 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda1 0.518 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 0.518 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 0.518 * [taylor]: Taking taylor expansion of -1 in lambda1 0.518 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.518 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda1 0.518 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 0.518 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 0.518 * [taylor]: Taking taylor expansion of -1 in lambda1 0.518 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.518 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.518 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.518 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.518 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.518 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.518 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.520 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda2 0.520 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 0.520 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 0.520 * [taylor]: Taking taylor expansion of -1 in lambda2 0.520 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.520 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda2 0.520 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 0.520 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 0.520 * [taylor]: Taking taylor expansion of -1 in lambda2 0.520 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.520 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.520 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.520 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.520 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.521 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.521 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.526 * [taylor]: Taking taylor expansion of 0 in phi2 0.526 * [taylor]: Taking taylor expansion of 0 in lambda1 0.526 * [taylor]: Taking taylor expansion of 0 in lambda2 0.530 * [taylor]: Taking taylor expansion of 0 in lambda1 0.531 * [taylor]: Taking taylor expansion of 0 in lambda2 0.538 * [taylor]: Taking taylor expansion of 0 in lambda2 0.547 * [taylor]: Taking taylor expansion of 0 in phi2 0.547 * [taylor]: Taking taylor expansion of 0 in lambda1 0.547 * [taylor]: Taking taylor expansion of 0 in lambda2 0.547 * [taylor]: Taking taylor expansion of 0 in lambda1 0.547 * [taylor]: Taking taylor expansion of 0 in lambda2 0.547 * * * [progress]: simplifying candidates 0.548 * [simplify]: Simplifying using # : (* (cos lambda1) (cos (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)) (log (cos (- lambda1 lambda2))) (exp (cos (- lambda1 lambda2))) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))) (+ (+ (log (cos phi1)) (log (cos phi2))) (log (cos (- lambda1 lambda2)))) (+ (log (* (cos phi1) (cos phi2))) (log (cos (- lambda1 lambda2)))) (log (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (exp (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (* (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2)))) (* (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2)))) (* (cbrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (cbrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (cbrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (* (* (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (sqrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (sqrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))) (* (* (cos phi1) (cos phi2)) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2))))) (* (* (cos phi1) (cos phi2)) (sqrt (cos (- lambda1 lambda2)))) (* (* (cos phi1) (cos phi2)) 1) (* (cos phi2) (cos (- lambda1 lambda2))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (cos (- lambda1 lambda2))) (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (- 1 (+ (* 1/2 (pow phi1 2)) (* 1/2 (pow phi2 2)))) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 0.553 * * [simplify]: iteration 0 : 264 enodes (cost 773 ) 0.558 * * [simplify]: iteration 1 : 1022 enodes (cost 656 ) 0.578 * * [simplify]: iteration 2 : 4705 enodes (cost 656 ) 0.648 * * [simplify]: iteration 3 : 5002 enodes (cost 656 ) 0.651 * [simplify]: Simplified to: (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)) (log (cos (- lambda1 lambda2))) (exp (cos (- lambda1 lambda2))) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))) (pow (cos (- lambda1 lambda2)) 3) (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (log (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (log (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (log (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (exp (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (pow (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3) (pow (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3) (* (cbrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (cbrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (cbrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (pow (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3) (sqrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (sqrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2))))) (* (* (cos phi1) (cos phi2)) (sqrt (cos (- lambda1 lambda2)))) (* (cos phi1) (cos phi2)) (* (cos phi2) (cos (- lambda1 lambda2))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (cos (- lambda1 lambda2))) (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (- 1 (+ (* 1/2 (pow phi1 2)) (* 1/2 (pow phi2 2)))) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 0.652 * * * [progress]: adding candidates to table 0.905 * * [progress]: iteration 2 / 4 0.905 * * * [progress]: picking best candidate 0.961 * * * * [pick]: Picked # 0.961 * * * [progress]: localizing error 0.991 * * * [progress]: generating rewritten candidates 0.991 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.992 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.996 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2 2) 1.001 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 1.013 * * * [progress]: generating series expansions 1.013 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.014 * [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 1.014 * [taylor]: Taking taylor 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 1.014 * [taylor]: Taking taylor 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 1.015 * [taylor]: Taking taylor 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 1.015 * [taylor]: Taking taylor 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 1.016 * [taylor]: Taking taylor 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 1.016 * [taylor]: Taking taylor 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 1.016 * [taylor]: Taking taylor 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 1.017 * [taylor]: Taking taylor 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 1.017 * [taylor]: Taking taylor expansion of 0 in phi2 1.017 * [taylor]: Taking taylor expansion of 0 in lambda1 1.018 * [taylor]: Taking taylor expansion of 0 in lambda2 1.018 * [taylor]: Taking taylor expansion of 0 in lambda1 1.018 * [taylor]: Taking taylor expansion of 0 in lambda2 1.018 * [taylor]: Taking taylor expansion of 0 in lambda2 1.018 * [taylor]: Taking taylor expansion of 0 in phi2 1.018 * [taylor]: Taking taylor expansion of 0 in lambda1 1.018 * [taylor]: Taking taylor expansion of 0 in lambda2 1.018 * [taylor]: Taking taylor expansion of 0 in lambda1 1.018 * [taylor]: Taking taylor expansion of 0 in lambda2 1.019 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.019 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.019 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.020 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.020 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.020 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.021 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.022 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.022 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.023 * [taylor]: Taking taylor expansion of 0 in phi2 1.023 * [taylor]: Taking taylor expansion of 0 in lambda1 1.023 * [taylor]: Taking taylor expansion of 0 in lambda2 1.023 * [taylor]: Taking taylor expansion of 0 in lambda1 1.023 * [taylor]: Taking taylor expansion of 0 in lambda2 1.023 * [taylor]: Taking taylor expansion of 0 in lambda2 1.023 * [taylor]: Taking taylor expansion of 0 in phi2 1.023 * [taylor]: Taking taylor expansion of 0 in lambda1 1.023 * [taylor]: Taking taylor expansion of 0 in lambda2 1.023 * [taylor]: Taking taylor expansion of 0 in lambda1 1.023 * [taylor]: Taking taylor expansion of 0 in lambda2 1.024 * [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 1.024 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.025 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.025 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.026 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.026 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.027 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.027 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.028 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.029 * [taylor]: Taking taylor expansion of 0 in phi2 1.029 * [taylor]: Taking taylor expansion of 0 in lambda1 1.029 * [taylor]: Taking taylor expansion of 0 in lambda2 1.029 * [taylor]: Taking taylor expansion of 0 in lambda1 1.029 * [taylor]: Taking taylor expansion of 0 in lambda2 1.029 * [taylor]: Taking taylor expansion of 0 in lambda2 1.029 * [taylor]: Taking taylor expansion of 0 in phi2 1.029 * [taylor]: Taking taylor expansion of 0 in lambda1 1.029 * [taylor]: Taking taylor expansion of 0 in lambda2 1.029 * [taylor]: Taking taylor expansion of 0 in lambda1 1.029 * [taylor]: Taking taylor expansion of 0 in lambda2 1.033 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.033 * [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 1.033 * [taylor]: Taking 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 1.033 * [taylor]: Taking taylor 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 1.033 * [taylor]: Taking taylor expansion of R in R 1.033 * [taylor]: Taking 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 1.033 * [taylor]: Taking taylor 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 1.034 * [taylor]: Taking taylor expansion of R in lambda2 1.034 * [taylor]: Taking 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 1.034 * [taylor]: Taking taylor 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 1.034 * [taylor]: Taking taylor expansion of R in lambda1 1.034 * [taylor]: Taking 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 1.034 * [taylor]: Taking taylor 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 1.035 * [taylor]: Taking taylor expansion of R in phi2 1.035 * [taylor]: Taking 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 1.035 * [taylor]: Taking taylor 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 1.035 * [taylor]: Taking taylor expansion of R in phi1 1.035 * [taylor]: Taking 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 1.035 * [taylor]: Taking taylor 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 1.035 * [taylor]: Taking taylor expansion of R in phi1 1.036 * [taylor]: Taking 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 1.036 * [taylor]: Taking taylor 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 1.036 * [taylor]: Taking taylor expansion of R in phi2 1.037 * [taylor]: Taking 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 1.037 * [taylor]: Taking taylor 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 1.037 * [taylor]: Taking taylor expansion of R in lambda1 1.037 * [taylor]: Taking 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 1.037 * [taylor]: Taking taylor 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 1.038 * [taylor]: Taking taylor expansion of R in lambda2 1.038 * [taylor]: Taking 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 1.038 * [taylor]: Taking taylor 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 1.039 * [taylor]: Taking taylor expansion of R in R 1.039 * [taylor]: Taking taylor expansion of 0 in phi2 1.039 * [taylor]: Taking taylor expansion of 0 in lambda1 1.039 * [taylor]: Taking taylor expansion of 0 in lambda2 1.039 * [taylor]: Taking taylor expansion of 0 in R 1.040 * [taylor]: Taking taylor expansion of 0 in lambda1 1.040 * [taylor]: Taking taylor expansion of 0 in lambda2 1.040 * [taylor]: Taking taylor expansion of 0 in R 1.040 * [taylor]: Taking taylor expansion of 0 in lambda2 1.040 * [taylor]: Taking taylor expansion of 0 in R 1.041 * [taylor]: Taking taylor expansion of 0 in R 1.043 * [taylor]: Taking taylor expansion of 0 in phi2 1.043 * [taylor]: Taking taylor expansion of 0 in lambda1 1.043 * [taylor]: Taking taylor expansion of 0 in lambda2 1.043 * [taylor]: Taking taylor expansion of 0 in R 1.043 * [taylor]: Taking taylor expansion of 0 in lambda1 1.043 * [taylor]: Taking taylor expansion of 0 in lambda2 1.043 * [taylor]: Taking taylor expansion of 0 in R 1.044 * [taylor]: Taking taylor expansion of 0 in lambda1 1.044 * [taylor]: Taking taylor expansion of 0 in lambda2 1.044 * [taylor]: Taking taylor expansion of 0 in R 1.044 * [taylor]: Taking taylor expansion of 0 in lambda2 1.044 * [taylor]: Taking taylor expansion of 0 in R 1.044 * [taylor]: Taking taylor expansion of 0 in lambda2 1.044 * [taylor]: Taking taylor expansion of 0 in R 1.044 * [taylor]: Taking taylor expansion of 0 in lambda2 1.045 * [taylor]: Taking taylor expansion of 0 in R 1.046 * [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 1.046 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.046 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.046 * [taylor]: Taking taylor expansion of R in R 1.047 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.047 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.047 * [taylor]: Taking taylor expansion of R in lambda2 1.048 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.048 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.048 * [taylor]: Taking taylor expansion of R in lambda1 1.049 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.049 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.049 * [taylor]: Taking taylor expansion of R in phi2 1.050 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.050 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.050 * [taylor]: Taking taylor expansion of R in phi1 1.051 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.051 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.052 * [taylor]: Taking taylor expansion of R in phi1 1.052 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.052 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.053 * [taylor]: Taking taylor expansion of R in phi2 1.053 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.053 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.054 * [taylor]: Taking taylor expansion of R in lambda1 1.054 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.054 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.055 * [taylor]: Taking taylor expansion of R in lambda2 1.055 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.055 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.056 * [taylor]: Taking taylor expansion of R in R 1.058 * [taylor]: Taking taylor expansion of 0 in phi2 1.058 * [taylor]: Taking taylor expansion of 0 in lambda1 1.058 * [taylor]: Taking taylor expansion of 0 in lambda2 1.058 * [taylor]: Taking taylor expansion of 0 in R 1.058 * [taylor]: Taking taylor expansion of 0 in lambda1 1.058 * [taylor]: Taking taylor expansion of 0 in lambda2 1.058 * [taylor]: Taking taylor expansion of 0 in R 1.059 * [taylor]: Taking taylor expansion of 0 in lambda2 1.059 * [taylor]: Taking taylor expansion of 0 in R 1.060 * [taylor]: Taking taylor expansion of 0 in R 1.062 * [taylor]: Taking taylor expansion of 0 in phi2 1.062 * [taylor]: Taking taylor expansion of 0 in lambda1 1.062 * [taylor]: Taking taylor expansion of 0 in lambda2 1.062 * [taylor]: Taking taylor expansion of 0 in R 1.062 * [taylor]: Taking taylor expansion of 0 in lambda1 1.062 * [taylor]: Taking taylor expansion of 0 in lambda2 1.062 * [taylor]: Taking taylor expansion of 0 in R 1.062 * [taylor]: Taking taylor expansion of 0 in lambda1 1.062 * [taylor]: Taking taylor expansion of 0 in lambda2 1.063 * [taylor]: Taking taylor expansion of 0 in R 1.063 * [taylor]: Taking taylor expansion of 0 in lambda2 1.063 * [taylor]: Taking taylor expansion of 0 in R 1.063 * [taylor]: Taking taylor expansion of 0 in lambda2 1.063 * [taylor]: Taking taylor expansion of 0 in R 1.063 * [taylor]: Taking taylor expansion of 0 in lambda2 1.063 * [taylor]: Taking taylor expansion of 0 in R 1.063 * [taylor]: Taking taylor expansion of 0 in R 1.063 * [taylor]: Taking taylor expansion of 0 in R 1.063 * [taylor]: Taking taylor expansion of 0 in R 1.064 * [taylor]: Taking taylor expansion of 0 in R 1.067 * [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 1.067 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 1.067 * [taylor]: Taking taylor expansion of -1 in R 1.067 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 1.067 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 1.068 * [taylor]: Taking taylor expansion of R in R 1.068 * [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 1.068 * [taylor]: Taking taylor expansion of -1 in lambda2 1.068 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 1.068 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.069 * [taylor]: Taking taylor expansion of R in lambda2 1.069 * [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 1.069 * [taylor]: Taking taylor expansion of -1 in lambda1 1.069 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 1.069 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.070 * [taylor]: Taking taylor expansion of R in lambda1 1.070 * [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 1.070 * [taylor]: Taking taylor expansion of -1 in phi2 1.070 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 1.070 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.071 * [taylor]: Taking taylor expansion of R in phi2 1.071 * [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 1.071 * [taylor]: Taking taylor expansion of -1 in phi1 1.071 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 1.071 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.072 * [taylor]: Taking taylor expansion of R in phi1 1.072 * [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 1.072 * [taylor]: Taking taylor expansion of -1 in phi1 1.073 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 1.073 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.073 * [taylor]: Taking taylor expansion of R in phi1 1.074 * [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 1.074 * [taylor]: Taking taylor expansion of -1 in phi2 1.074 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 1.074 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.075 * [taylor]: Taking taylor expansion of R in phi2 1.076 * [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 1.076 * [taylor]: Taking taylor expansion of -1 in lambda1 1.076 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 1.076 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.076 * [taylor]: Taking taylor expansion of R in lambda1 1.077 * [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 1.077 * [taylor]: Taking taylor expansion of -1 in lambda2 1.077 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 1.077 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.078 * [taylor]: Taking taylor expansion of R in lambda2 1.079 * [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 1.079 * [taylor]: Taking taylor expansion of -1 in R 1.079 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 1.079 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.079 * [taylor]: Taking taylor expansion of R in R 1.083 * [taylor]: Taking taylor expansion of 0 in phi2 1.083 * [taylor]: Taking taylor expansion of 0 in lambda1 1.083 * [taylor]: Taking taylor expansion of 0 in lambda2 1.083 * [taylor]: Taking taylor expansion of 0 in R 1.084 * [taylor]: Taking taylor expansion of 0 in lambda1 1.084 * [taylor]: Taking taylor expansion of 0 in lambda2 1.084 * [taylor]: Taking taylor expansion of 0 in R 1.086 * [taylor]: Taking taylor expansion of 0 in lambda2 1.086 * [taylor]: Taking taylor expansion of 0 in R 1.087 * [taylor]: Taking taylor expansion of 0 in R 1.091 * [taylor]: Taking taylor expansion of 0 in phi2 1.091 * [taylor]: Taking taylor expansion of 0 in lambda1 1.091 * [taylor]: Taking taylor expansion of 0 in lambda2 1.091 * [taylor]: Taking taylor expansion of 0 in R 1.091 * [taylor]: Taking taylor expansion of 0 in lambda1 1.091 * [taylor]: Taking taylor expansion of 0 in lambda2 1.091 * [taylor]: Taking taylor expansion of 0 in R 1.092 * [taylor]: Taking taylor expansion of 0 in lambda1 1.093 * [taylor]: Taking taylor expansion of 0 in lambda2 1.093 * [taylor]: Taking taylor expansion of 0 in R 1.093 * [taylor]: Taking taylor expansion of 0 in lambda2 1.093 * [taylor]: Taking taylor expansion of 0 in R 1.093 * [taylor]: Taking taylor expansion of 0 in lambda2 1.093 * [taylor]: Taking taylor expansion of 0 in R 1.094 * [taylor]: Taking taylor expansion of 0 in lambda2 1.094 * [taylor]: Taking taylor expansion of 0 in R 1.094 * [taylor]: Taking taylor expansion of 0 in R 1.094 * [taylor]: Taking taylor expansion of 0 in R 1.094 * [taylor]: Taking taylor expansion of 0 in R 1.096 * [taylor]: Taking taylor expansion of 0 in R 1.100 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2 2) 1.100 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 1.100 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 1.100 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 1.100 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.100 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.100 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.100 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.100 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.100 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.100 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.100 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.100 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.100 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.100 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.100 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.100 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.101 * [taylor]: Taking taylor expansion of 0 in lambda2 1.103 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.103 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.106 * [taylor]: Taking taylor expansion of 0 in lambda2 1.110 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2 1.110 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 1.110 * [taylor]: Taking taylor expansion of 1/6 in lambda2 1.110 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.110 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.119 * [taylor]: Taking taylor expansion of 0 in lambda2 1.119 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 1.119 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.119 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.119 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.119 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.120 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.120 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.120 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.120 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.120 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.120 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.120 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.120 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.120 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.120 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.120 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.120 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.120 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.120 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.121 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.121 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.121 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.121 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.121 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.121 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.121 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.121 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.121 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.121 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.123 * [taylor]: Taking taylor expansion of 0 in lambda2 1.127 * [taylor]: Taking taylor expansion of 0 in lambda2 1.132 * [taylor]: Taking taylor expansion of 0 in lambda2 1.132 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 1.132 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.132 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.132 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.132 * [taylor]: Taking taylor expansion of -1 in lambda2 1.133 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.133 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.133 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.133 * [taylor]: Taking taylor expansion of -1 in lambda2 1.133 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.133 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.133 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.133 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.133 * [taylor]: Taking taylor expansion of -1 in lambda1 1.133 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.133 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.133 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.133 * [taylor]: Taking taylor expansion of -1 in lambda1 1.133 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.133 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.134 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.134 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.134 * [taylor]: Taking taylor expansion of -1 in lambda1 1.134 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.134 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.134 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.134 * [taylor]: Taking taylor expansion of -1 in lambda1 1.134 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.134 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.134 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.134 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.134 * [taylor]: Taking taylor expansion of -1 in lambda2 1.134 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.134 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.134 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.134 * [taylor]: Taking taylor expansion of -1 in lambda2 1.134 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.137 * [taylor]: Taking taylor expansion of 0 in lambda2 1.140 * [taylor]: Taking taylor expansion of 0 in lambda2 1.145 * [taylor]: Taking taylor expansion of 0 in lambda2 1.146 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 1.146 * [approximate]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in (phi1 phi2 lambda1 lambda2) around 0 1.146 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in lambda2 1.146 * [taylor]: Taking taylor expansion of (cos phi1) in lambda2 1.146 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.146 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in lambda2 1.146 * [taylor]: Taking taylor expansion of (cos phi2) in lambda2 1.146 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.146 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in lambda2 1.146 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda2 1.146 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda2 1.146 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.146 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 1.146 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.146 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 1.146 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 1.146 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.146 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.146 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.146 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in lambda1 1.146 * [taylor]: Taking taylor expansion of (cos phi1) in lambda1 1.146 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.146 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in lambda1 1.147 * [taylor]: Taking taylor expansion of (cos phi2) in lambda1 1.147 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.147 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in lambda1 1.147 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 1.147 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 1.147 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.147 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 1.147 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.147 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.147 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.147 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.147 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.147 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.147 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in phi2 1.147 * [taylor]: Taking taylor expansion of (cos phi1) in phi2 1.147 * [taylor]: Taking taylor expansion of phi1 in phi2 1.147 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in phi2 1.147 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 1.147 * [taylor]: Taking taylor expansion of phi2 in phi2 1.147 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in phi2 1.147 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi2 1.147 * [taylor]: Taking taylor expansion of (cos lambda1) in phi2 1.147 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.147 * [taylor]: Taking taylor expansion of (cos lambda2) in phi2 1.147 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.147 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi2 1.147 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 1.147 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.147 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 1.147 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.147 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in phi1 1.147 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 1.147 * [taylor]: Taking taylor expansion of phi1 in phi1 1.147 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in phi1 1.147 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 1.147 * [taylor]: Taking taylor expansion of phi2 in phi1 1.147 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in phi1 1.147 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi1 1.147 * [taylor]: Taking taylor expansion of (cos lambda1) in phi1 1.147 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.147 * [taylor]: Taking taylor expansion of (cos lambda2) in phi1 1.148 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.148 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi1 1.148 * [taylor]: Taking taylor expansion of (sin lambda1) in phi1 1.148 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.148 * [taylor]: Taking taylor expansion of (sin lambda2) in phi1 1.148 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.148 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in phi1 1.148 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 1.148 * [taylor]: Taking taylor expansion of phi1 in phi1 1.148 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in phi1 1.148 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 1.148 * [taylor]: Taking taylor expansion of phi2 in phi1 1.148 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in phi1 1.148 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi1 1.148 * [taylor]: Taking taylor expansion of (cos lambda1) in phi1 1.148 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.148 * [taylor]: Taking taylor expansion of (cos lambda2) in phi1 1.148 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.148 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi1 1.148 * [taylor]: Taking taylor expansion of (sin lambda1) in phi1 1.148 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.148 * [taylor]: Taking taylor expansion of (sin lambda2) in phi1 1.148 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.150 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in phi2 1.150 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 1.150 * [taylor]: Taking taylor expansion of phi2 in phi2 1.150 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in phi2 1.150 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi2 1.150 * [taylor]: Taking taylor expansion of (cos lambda1) in phi2 1.150 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.150 * [taylor]: Taking taylor expansion of (cos lambda2) in phi2 1.150 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.150 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi2 1.150 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 1.150 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.150 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 1.150 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.151 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in lambda1 1.151 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 1.151 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 1.151 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.151 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 1.151 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.151 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.151 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.151 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.151 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.151 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.152 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 1.152 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.160 * [taylor]: Taking taylor expansion of 0 in phi2 1.160 * [taylor]: Taking taylor expansion of 0 in lambda1 1.160 * [taylor]: Taking taylor expansion of 0 in lambda2 1.167 * [taylor]: Taking taylor expansion of 0 in lambda1 1.167 * [taylor]: Taking taylor expansion of 0 in lambda2 1.171 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.171 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.183 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* (cos lambda1) (* (cos phi2) (cos lambda2)))) (* 1/2 (* (sin lambda1) (* (cos phi2) (sin lambda2)))))) in phi2 1.183 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (cos lambda1) (* (cos phi2) (cos lambda2)))) (* 1/2 (* (sin lambda1) (* (cos phi2) (sin lambda2))))) in phi2 1.183 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos lambda1) (* (cos phi2) (cos lambda2)))) in phi2 1.183 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.183 * [taylor]: Taking taylor expansion of (* (cos lambda1) (* (cos phi2) (cos lambda2))) in phi2 1.183 * [taylor]: Taking taylor expansion of (cos lambda1) in phi2 1.183 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.183 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos lambda2)) in phi2 1.183 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 1.183 * [taylor]: Taking taylor expansion of phi2 in phi2 1.183 * [taylor]: Taking taylor expansion of (cos lambda2) in phi2 1.183 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.183 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (* (cos phi2) (sin lambda2)))) in phi2 1.183 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.183 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi2) (sin lambda2))) in phi2 1.183 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 1.183 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.184 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in phi2 1.184 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 1.184 * [taylor]: Taking taylor expansion of phi2 in phi2 1.184 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 1.184 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.185 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* (cos lambda1) (cos lambda2))) (* 1/2 (* (sin lambda1) (sin lambda2))))) in lambda1 1.185 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (cos lambda1) (cos lambda2))) (* 1/2 (* (sin lambda1) (sin lambda2)))) in lambda1 1.185 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos lambda1) (cos lambda2))) in lambda1 1.185 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.185 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 1.185 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 1.185 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.185 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 1.185 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.185 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (sin lambda2))) in lambda1 1.185 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.185 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.185 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.185 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.185 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.185 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.186 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos lambda2))) in lambda2 1.186 * [taylor]: Taking taylor expansion of (* 1/2 (cos lambda2)) in lambda2 1.186 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.186 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 1.186 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.187 * [taylor]: Taking taylor expansion of 0 in lambda1 1.187 * [taylor]: Taking taylor expansion of 0 in lambda2 1.200 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* (cos lambda1) (cos lambda2))) (* 1/2 (* (sin lambda1) (sin lambda2))))) in lambda1 1.200 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (cos lambda1) (cos lambda2))) (* 1/2 (* (sin lambda1) (sin lambda2)))) in lambda1 1.200 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos lambda1) (cos lambda2))) in lambda1 1.200 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.200 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 1.200 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 1.200 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.200 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 1.200 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.200 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (sin lambda2))) in lambda1 1.200 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.200 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.200 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.200 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.200 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.200 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.201 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos lambda2))) in lambda2 1.201 * [taylor]: Taking taylor expansion of (* 1/2 (cos lambda2)) in lambda2 1.201 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.201 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 1.201 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.203 * [approximate]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in (phi1 phi2 lambda1 lambda2) around 0 1.203 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in lambda2 1.203 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 1.203 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.203 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.203 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in lambda2 1.203 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 1.203 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.203 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.203 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda2 1.203 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.203 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.203 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.203 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.203 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.203 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.203 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.203 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda2 1.203 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda2 1.203 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.203 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.204 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda2 1.204 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.204 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.204 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in lambda1 1.204 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 1.204 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.204 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.204 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in lambda1 1.204 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 1.204 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.204 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.204 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda1 1.204 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.204 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.204 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.204 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.204 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.204 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.205 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.205 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda1 1.205 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda1 1.205 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.205 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.205 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda1 1.205 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.205 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.205 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in phi2 1.205 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 1.205 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.205 * [taylor]: Taking taylor expansion of phi2 in phi2 1.205 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in phi2 1.205 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 1.205 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.205 * [taylor]: Taking taylor expansion of phi1 in phi2 1.206 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi2 1.206 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in phi2 1.206 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi2 1.206 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.206 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.206 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi2 1.206 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.206 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.206 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi2 1.206 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi2 1.206 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.206 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.206 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi2 1.206 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.206 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.206 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in phi1 1.206 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 1.206 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.206 * [taylor]: Taking taylor expansion of phi2 in phi1 1.206 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in phi1 1.206 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 1.206 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.206 * [taylor]: Taking taylor expansion of phi1 in phi1 1.207 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi1 1.207 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in phi1 1.207 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi1 1.207 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.207 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.207 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi1 1.207 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.207 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.207 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi1 1.207 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi1 1.207 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.207 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.207 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi1 1.207 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.207 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.207 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in phi1 1.207 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 1.207 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.207 * [taylor]: Taking taylor expansion of phi2 in phi1 1.207 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in phi1 1.207 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 1.207 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.207 * [taylor]: Taking taylor expansion of phi1 in phi1 1.208 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi1 1.208 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in phi1 1.208 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi1 1.208 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.208 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.208 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi1 1.208 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.208 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.208 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi1 1.208 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi1 1.208 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.208 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.208 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi1 1.208 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.208 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.210 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in phi2 1.210 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 1.210 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.210 * [taylor]: Taking taylor expansion of phi2 in phi2 1.210 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in phi2 1.210 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 1.210 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.210 * [taylor]: Taking taylor expansion of phi1 in phi2 1.211 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi2 1.211 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in phi2 1.211 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi2 1.211 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.211 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.211 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi2 1.211 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.211 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.211 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi2 1.211 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi2 1.211 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.211 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.211 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi2 1.211 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.211 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.213 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in lambda1 1.213 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 1.213 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.213 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.213 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in lambda1 1.213 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 1.213 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.213 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.213 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda1 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 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 lambda2 in lambda1 1.214 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda1 1.214 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda1 1.214 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.214 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.214 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda1 1.214 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.214 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.216 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in lambda2 1.216 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 1.216 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.216 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.216 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in lambda2 1.216 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 1.216 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.216 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.216 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda2 1.216 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.216 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.216 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.216 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.216 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.216 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.216 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.217 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda2 1.217 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda2 1.217 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.217 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.217 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda2 1.217 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.217 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.228 * [taylor]: Taking taylor expansion of 0 in phi2 1.228 * [taylor]: Taking taylor expansion of 0 in lambda1 1.228 * [taylor]: Taking taylor expansion of 0 in lambda2 1.237 * [taylor]: Taking taylor expansion of 0 in lambda1 1.237 * [taylor]: Taking taylor expansion of 0 in lambda2 1.244 * [taylor]: Taking taylor expansion of 0 in lambda2 1.263 * [taylor]: Taking taylor expansion of 0 in phi2 1.263 * [taylor]: Taking taylor expansion of 0 in lambda1 1.263 * [taylor]: Taking taylor expansion of 0 in lambda2 1.263 * [taylor]: Taking taylor expansion of 0 in lambda1 1.263 * [taylor]: Taking taylor expansion of 0 in lambda2 1.264 * [approximate]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in (phi1 phi2 lambda1 lambda2) around 0 1.264 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in lambda2 1.264 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 1.264 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 1.264 * [taylor]: Taking taylor expansion of -1 in lambda2 1.264 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.264 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in lambda2 1.264 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 1.264 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 1.264 * [taylor]: Taking taylor expansion of -1 in lambda2 1.264 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.264 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in lambda2 1.264 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda2 1.264 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda2 1.264 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.264 * [taylor]: Taking taylor expansion of -1 in lambda2 1.264 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.264 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda2 1.264 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.264 * [taylor]: Taking taylor expansion of -1 in lambda2 1.264 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.265 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.265 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.265 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.265 * [taylor]: Taking taylor expansion of -1 in lambda2 1.265 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.265 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.265 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.265 * [taylor]: Taking taylor expansion of -1 in lambda2 1.265 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.265 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in lambda1 1.265 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 1.265 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 1.265 * [taylor]: Taking taylor expansion of -1 in lambda1 1.265 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.265 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in lambda1 1.265 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 1.265 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 1.265 * [taylor]: Taking taylor expansion of -1 in lambda1 1.265 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.266 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in lambda1 1.266 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda1 1.266 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda1 1.266 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.266 * [taylor]: Taking taylor expansion of -1 in lambda1 1.266 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.266 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda1 1.266 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.266 * [taylor]: Taking taylor expansion of -1 in lambda1 1.266 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.266 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.266 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.266 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.266 * [taylor]: Taking taylor expansion of -1 in lambda1 1.266 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.266 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.266 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.267 * [taylor]: Taking taylor expansion of -1 in lambda1 1.267 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.267 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in phi2 1.267 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 1.267 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.267 * [taylor]: Taking taylor expansion of -1 in phi2 1.267 * [taylor]: Taking taylor expansion of phi1 in phi2 1.267 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in phi2 1.267 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 1.267 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.267 * [taylor]: Taking taylor expansion of -1 in phi2 1.267 * [taylor]: Taking taylor expansion of phi2 in phi2 1.267 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in phi2 1.267 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi2 1.267 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi2 1.267 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 1.267 * [taylor]: Taking taylor expansion of -1 in phi2 1.267 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.267 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi2 1.267 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 1.267 * [taylor]: Taking taylor expansion of -1 in phi2 1.267 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.268 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in phi2 1.268 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi2 1.268 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 1.268 * [taylor]: Taking taylor expansion of -1 in phi2 1.268 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.268 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi2 1.268 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 1.268 * [taylor]: Taking taylor expansion of -1 in phi2 1.268 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.268 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in phi1 1.268 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 1.268 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.268 * [taylor]: Taking taylor expansion of -1 in phi1 1.268 * [taylor]: Taking taylor expansion of phi1 in phi1 1.268 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in phi1 1.268 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 1.268 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.268 * [taylor]: Taking taylor expansion of -1 in phi1 1.268 * [taylor]: Taking taylor expansion of phi2 in phi1 1.268 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in phi1 1.268 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi1 1.268 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi1 1.268 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 1.268 * [taylor]: Taking taylor expansion of -1 in phi1 1.268 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.269 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi1 1.269 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 1.269 * [taylor]: Taking taylor expansion of -1 in phi1 1.269 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.269 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in phi1 1.269 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi1 1.269 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 1.269 * [taylor]: Taking taylor expansion of -1 in phi1 1.269 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.269 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi1 1.269 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 1.269 * [taylor]: Taking taylor expansion of -1 in phi1 1.269 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.269 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in phi1 1.269 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 1.269 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.269 * [taylor]: Taking taylor expansion of -1 in phi1 1.269 * [taylor]: Taking taylor expansion of phi1 in phi1 1.269 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in phi1 1.269 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 1.269 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.269 * [taylor]: Taking taylor expansion of -1 in phi1 1.269 * [taylor]: Taking taylor expansion of phi2 in phi1 1.269 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in phi1 1.270 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi1 1.270 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi1 1.270 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 1.270 * [taylor]: Taking taylor expansion of -1 in phi1 1.270 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.270 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi1 1.270 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 1.270 * [taylor]: Taking taylor expansion of -1 in phi1 1.270 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.270 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in phi1 1.270 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi1 1.270 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 1.270 * [taylor]: Taking taylor expansion of -1 in phi1 1.270 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.270 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi1 1.270 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 1.270 * [taylor]: Taking taylor expansion of -1 in phi1 1.270 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.272 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in phi2 1.272 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 1.272 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.272 * [taylor]: Taking taylor expansion of -1 in phi2 1.272 * [taylor]: Taking taylor expansion of phi1 in phi2 1.272 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in phi2 1.272 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 1.272 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.272 * [taylor]: Taking taylor expansion of -1 in phi2 1.272 * [taylor]: Taking taylor expansion of phi2 in phi2 1.273 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in phi2 1.273 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi2 1.273 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi2 1.273 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 1.273 * [taylor]: Taking taylor expansion of -1 in phi2 1.273 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.273 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi2 1.273 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 1.273 * [taylor]: Taking taylor expansion of -1 in phi2 1.273 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.273 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in phi2 1.273 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi2 1.273 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 1.273 * [taylor]: Taking taylor expansion of -1 in phi2 1.273 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.273 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi2 1.273 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 1.273 * [taylor]: Taking taylor expansion of -1 in phi2 1.273 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.275 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in lambda1 1.275 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 1.275 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 1.275 * [taylor]: Taking taylor expansion of -1 in lambda1 1.275 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.275 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in lambda1 1.275 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 1.275 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 1.275 * [taylor]: Taking taylor expansion of -1 in lambda1 1.275 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.275 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in lambda1 1.275 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda1 1.275 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda1 1.275 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.275 * [taylor]: Taking taylor expansion of -1 in lambda1 1.275 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.276 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda1 1.276 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.276 * [taylor]: Taking taylor expansion of -1 in lambda1 1.276 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.276 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.276 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.276 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.276 * [taylor]: Taking taylor expansion of -1 in lambda1 1.276 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.276 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.276 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.276 * [taylor]: Taking taylor expansion of -1 in lambda1 1.276 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.278 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in lambda2 1.278 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 1.278 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 1.278 * [taylor]: Taking taylor expansion of -1 in lambda2 1.278 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.278 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in lambda2 1.278 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 1.278 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 1.278 * [taylor]: Taking taylor expansion of -1 in lambda2 1.278 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.278 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in lambda2 1.278 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda2 1.278 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda2 1.278 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.278 * [taylor]: Taking taylor expansion of -1 in lambda2 1.279 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.279 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda2 1.279 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.279 * [taylor]: Taking taylor expansion of -1 in lambda2 1.279 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.279 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.279 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.279 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.279 * [taylor]: Taking taylor expansion of -1 in lambda2 1.279 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.279 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.279 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.279 * [taylor]: Taking taylor expansion of -1 in lambda2 1.279 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.294 * [taylor]: Taking taylor expansion of 0 in phi2 1.294 * [taylor]: Taking taylor expansion of 0 in lambda1 1.294 * [taylor]: Taking taylor expansion of 0 in lambda2 1.309 * [taylor]: Taking taylor expansion of 0 in lambda1 1.309 * [taylor]: Taking taylor expansion of 0 in lambda2 1.320 * [taylor]: Taking taylor expansion of 0 in lambda2 1.350 * [taylor]: Taking taylor expansion of 0 in phi2 1.350 * [taylor]: Taking taylor expansion of 0 in lambda1 1.350 * [taylor]: Taking taylor expansion of 0 in lambda2 1.350 * [taylor]: Taking taylor expansion of 0 in lambda1 1.350 * [taylor]: Taking taylor expansion of 0 in lambda2 1.351 * * * [progress]: simplifying candidates 1.352 * [simplify]: Simplifying using # : (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (- (cos (- 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)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (+ (+ (log (cos phi1)) (log (cos phi2))) (log (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (+ (log (* (cos phi1) (cos phi2))) (log (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (log (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (exp (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))) (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))) (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (sqrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (sqrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (* (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) 2) (* 2 (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))))) (* 2 (* 2 2)) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (* 2 (+ (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (- (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (* 2 (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))) (* (* (cos phi1) (cos phi2)) (* (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (* (cos phi1) (cos phi2)) (sqrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (cos phi1) (cos phi2)) 1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (+ (* (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) 2) (* 2 (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))))) (* (* (cos phi1) (cos phi2)) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (* (* (cos phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (- 1 (+ (* 1/2 (pow phi1 2)) (* 1/2 (pow phi2 2)))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) 1.363 * * [simplify]: iteration 0 : 473 enodes (cost 1301 ) 1.374 * * [simplify]: iteration 1 : 2144 enodes (cost 1097 ) 1.415 * * [simplify]: iteration 2 : 5002 enodes (cost 1096 ) 1.418 * [simplify]: Simplified to: (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (- (cos (- 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)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (log (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (log (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (log (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (exp (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (pow (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 3) (pow (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 3) (* (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (pow (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 3) (sqrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (sqrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) 2) (+ (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))))) 8 (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (* (+ (* (* (sin lambda1) (sin lambda2)) (- (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2)))) 2) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (* 2 (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (* (cos phi1) (cos phi2)) (sqrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (cos phi1) (cos phi2)) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (* (cos phi1) (cos phi2)) (* 2 (+ (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2)))))) (* (* (cos phi1) (cos phi2)) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (* (* (cos phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (- 1 (+ (* 1/2 (pow phi1 2)) (* 1/2 (pow phi2 2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 1.419 * * * [progress]: adding candidates to table 1.758 * * [progress]: iteration 3 / 4 1.758 * * * [progress]: picking best candidate 1.834 * * * * [pick]: Picked # 1.835 * * * [progress]: localizing error 1.868 * * * [progress]: generating rewritten candidates 1.868 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2 2) 1.873 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.875 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.879 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 2 1 1) 1.885 * * * [progress]: generating series expansions 1.885 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2 2) 1.885 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 1.885 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 1.885 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 1.885 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.885 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.885 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.885 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.885 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.885 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.885 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.885 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.886 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.886 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.886 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.886 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.886 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.886 * [taylor]: Taking taylor expansion of 0 in lambda2 1.888 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.888 * [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 (- (* 1/6 (sin lambda2))) in lambda2 1.895 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 1.895 * [taylor]: Taking taylor expansion of 1/6 in lambda2 1.895 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.895 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.901 * [taylor]: Taking taylor expansion of 0 in lambda2 1.902 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 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 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 lambda2 in lambda2 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 lambda1 in lambda1 1.903 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.903 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.903 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.903 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.903 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.903 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.903 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.903 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.903 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.903 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.903 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.903 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.903 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.903 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.904 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.904 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.904 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.906 * [taylor]: Taking taylor expansion of 0 in lambda2 1.910 * [taylor]: Taking taylor expansion of 0 in lambda2 1.915 * [taylor]: Taking taylor expansion of 0 in lambda2 1.915 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 1.916 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.916 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.916 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.916 * [taylor]: Taking taylor expansion of -1 in lambda2 1.916 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.916 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.916 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.916 * [taylor]: Taking taylor expansion of -1 in lambda2 1.916 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.916 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.916 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.916 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.916 * [taylor]: Taking taylor expansion of -1 in lambda1 1.916 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.916 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.917 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.917 * [taylor]: Taking taylor expansion of -1 in lambda1 1.917 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.917 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.917 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.917 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.917 * [taylor]: Taking taylor expansion of -1 in lambda1 1.917 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.917 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.917 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.917 * [taylor]: Taking taylor expansion of -1 in lambda1 1.917 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.917 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.917 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.917 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.917 * [taylor]: Taking taylor expansion of -1 in lambda2 1.918 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.918 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.918 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.918 * [taylor]: Taking taylor expansion of -1 in lambda2 1.918 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.920 * [taylor]: Taking taylor expansion of 0 in lambda2 1.924 * [taylor]: Taking taylor expansion of 0 in lambda2 1.929 * [taylor]: Taking taylor expansion of 0 in lambda2 1.929 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.930 * [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 1.930 * [taylor]: Taking taylor 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 1.930 * [taylor]: Taking taylor 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 1.931 * [taylor]: Taking taylor 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 1.931 * [taylor]: Taking taylor 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 1.932 * [taylor]: Taking taylor 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 1.932 * [taylor]: Taking taylor 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 1.932 * [taylor]: Taking taylor 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 1.933 * [taylor]: Taking taylor 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 1.933 * [taylor]: Taking taylor expansion of 0 in phi2 1.934 * [taylor]: Taking taylor expansion of 0 in lambda1 1.934 * [taylor]: Taking taylor expansion of 0 in lambda2 1.934 * [taylor]: Taking taylor expansion of 0 in lambda1 1.934 * [taylor]: Taking taylor expansion of 0 in lambda2 1.934 * [taylor]: Taking taylor expansion of 0 in lambda2 1.934 * [taylor]: Taking taylor expansion of 0 in phi2 1.934 * [taylor]: Taking taylor expansion of 0 in lambda1 1.934 * [taylor]: Taking taylor expansion of 0 in lambda2 1.934 * [taylor]: Taking taylor expansion of 0 in lambda1 1.934 * [taylor]: Taking taylor expansion of 0 in lambda2 1.935 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.935 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.935 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.936 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.936 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.937 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.937 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.938 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.938 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.939 * [taylor]: Taking taylor expansion of 0 in phi2 1.939 * [taylor]: Taking taylor expansion of 0 in lambda1 1.939 * [taylor]: Taking taylor expansion of 0 in lambda2 1.939 * [taylor]: Taking taylor expansion of 0 in lambda1 1.939 * [taylor]: Taking taylor expansion of 0 in lambda2 1.939 * [taylor]: Taking taylor expansion of 0 in lambda2 1.939 * [taylor]: Taking taylor expansion of 0 in phi2 1.939 * [taylor]: Taking taylor expansion of 0 in lambda1 1.939 * [taylor]: Taking taylor expansion of 0 in lambda2 1.940 * [taylor]: Taking taylor expansion of 0 in lambda1 1.940 * [taylor]: Taking taylor expansion of 0 in lambda2 1.941 * [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 1.941 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.941 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.942 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.942 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.943 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.943 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.944 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.944 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.946 * [taylor]: Taking taylor expansion of 0 in phi2 1.946 * [taylor]: Taking taylor expansion of 0 in lambda1 1.946 * [taylor]: Taking taylor expansion of 0 in lambda2 1.946 * [taylor]: Taking taylor expansion of 0 in lambda1 1.946 * [taylor]: Taking taylor expansion of 0 in lambda2 1.946 * [taylor]: Taking taylor expansion of 0 in lambda2 1.946 * [taylor]: Taking taylor expansion of 0 in phi2 1.946 * [taylor]: Taking taylor expansion of 0 in lambda1 1.946 * [taylor]: Taking taylor expansion of 0 in lambda2 1.946 * [taylor]: Taking taylor expansion of 0 in lambda1 1.946 * [taylor]: Taking taylor expansion of 0 in lambda2 1.946 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.947 * [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 1.947 * [taylor]: Taking 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 1.947 * [taylor]: Taking taylor 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 1.947 * [taylor]: Taking taylor expansion of R in R 1.947 * [taylor]: Taking 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 1.947 * [taylor]: Taking taylor 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 1.948 * [taylor]: Taking taylor expansion of R in lambda2 1.948 * [taylor]: Taking 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 1.948 * [taylor]: Taking taylor 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 1.948 * [taylor]: Taking taylor expansion of R in lambda1 1.948 * [taylor]: Taking 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 1.948 * [taylor]: Taking taylor 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 1.949 * [taylor]: Taking taylor expansion of R in phi2 1.949 * [taylor]: Taking 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 1.949 * [taylor]: Taking taylor 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 1.949 * [taylor]: Taking taylor expansion of R in phi1 1.949 * [taylor]: Taking 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 1.949 * [taylor]: Taking taylor 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 1.949 * [taylor]: Taking taylor expansion of R in phi1 1.950 * [taylor]: Taking 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 1.950 * [taylor]: Taking taylor 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 1.950 * [taylor]: Taking taylor expansion of R in phi2 1.951 * [taylor]: Taking 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 1.951 * [taylor]: Taking taylor 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 1.951 * [taylor]: Taking taylor expansion of R in lambda1 1.951 * [taylor]: Taking 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 1.952 * [taylor]: Taking taylor 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 1.952 * [taylor]: Taking taylor expansion of R in lambda2 1.952 * [taylor]: Taking 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 1.952 * [taylor]: Taking taylor 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 1.953 * [taylor]: Taking taylor expansion of R in R 1.953 * [taylor]: Taking taylor expansion of 0 in phi2 1.953 * [taylor]: Taking taylor expansion of 0 in lambda1 1.953 * [taylor]: Taking taylor expansion of 0 in lambda2 1.954 * [taylor]: Taking taylor expansion of 0 in R 1.954 * [taylor]: Taking taylor expansion of 0 in lambda1 1.954 * [taylor]: Taking taylor expansion of 0 in lambda2 1.954 * [taylor]: Taking taylor expansion of 0 in R 1.954 * [taylor]: Taking taylor expansion of 0 in lambda2 1.954 * [taylor]: Taking taylor expansion of 0 in R 1.955 * [taylor]: Taking taylor expansion of 0 in R 1.957 * [taylor]: Taking taylor expansion of 0 in phi2 1.957 * [taylor]: Taking taylor expansion of 0 in lambda1 1.957 * [taylor]: Taking taylor expansion of 0 in lambda2 1.957 * [taylor]: Taking taylor expansion of 0 in R 1.957 * [taylor]: Taking taylor expansion of 0 in lambda1 1.957 * [taylor]: Taking taylor expansion of 0 in lambda2 1.957 * [taylor]: Taking taylor expansion of 0 in R 1.958 * [taylor]: Taking taylor expansion of 0 in lambda1 1.958 * [taylor]: Taking taylor expansion of 0 in lambda2 1.958 * [taylor]: Taking taylor expansion of 0 in R 1.958 * [taylor]: Taking taylor expansion of 0 in lambda2 1.958 * [taylor]: Taking taylor expansion of 0 in R 1.958 * [taylor]: Taking taylor expansion of 0 in lambda2 1.958 * [taylor]: Taking taylor expansion of 0 in R 1.958 * [taylor]: Taking taylor expansion of 0 in lambda2 1.962 * [taylor]: Taking taylor expansion of 0 in R 1.964 * [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 1.964 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.964 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.965 * [taylor]: Taking taylor expansion of R in R 1.965 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.965 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.966 * [taylor]: Taking taylor expansion of R in lambda2 1.966 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.966 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.967 * [taylor]: Taking taylor expansion of R in lambda1 1.967 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.967 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.968 * [taylor]: Taking taylor expansion of R in phi2 1.968 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.968 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.969 * [taylor]: Taking taylor expansion of R in phi1 1.969 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.969 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.970 * [taylor]: Taking taylor expansion of R in phi1 1.970 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.970 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.971 * [taylor]: Taking taylor expansion of R in phi2 1.971 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.972 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.972 * [taylor]: Taking taylor expansion of R in lambda1 1.973 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.973 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.973 * [taylor]: Taking taylor expansion of R in lambda2 1.974 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.974 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.974 * [taylor]: Taking taylor expansion of R in R 1.976 * [taylor]: Taking taylor expansion of 0 in phi2 1.976 * [taylor]: Taking taylor expansion of 0 in lambda1 1.976 * [taylor]: Taking taylor expansion of 0 in lambda2 1.976 * [taylor]: Taking taylor expansion of 0 in R 1.977 * [taylor]: Taking taylor expansion of 0 in lambda1 1.977 * [taylor]: Taking taylor expansion of 0 in lambda2 1.977 * [taylor]: Taking taylor expansion of 0 in R 1.977 * [taylor]: Taking taylor expansion of 0 in lambda2 1.977 * [taylor]: Taking taylor expansion of 0 in R 1.978 * [taylor]: Taking taylor expansion of 0 in R 1.980 * [taylor]: Taking taylor expansion of 0 in phi2 1.980 * [taylor]: Taking taylor expansion of 0 in lambda1 1.980 * [taylor]: Taking taylor expansion of 0 in lambda2 1.980 * [taylor]: Taking taylor expansion of 0 in R 1.980 * [taylor]: Taking taylor expansion of 0 in lambda1 1.980 * [taylor]: Taking taylor expansion of 0 in lambda2 1.980 * [taylor]: Taking taylor expansion of 0 in R 1.981 * [taylor]: Taking taylor expansion of 0 in lambda1 1.981 * [taylor]: Taking taylor expansion of 0 in lambda2 1.981 * [taylor]: Taking taylor expansion of 0 in R 1.981 * [taylor]: Taking taylor expansion of 0 in lambda2 1.981 * [taylor]: Taking taylor expansion of 0 in R 1.981 * [taylor]: Taking taylor expansion of 0 in lambda2 1.981 * [taylor]: Taking taylor expansion of 0 in R 1.982 * [taylor]: Taking taylor expansion of 0 in lambda2 1.982 * [taylor]: Taking taylor expansion of 0 in R 1.982 * [taylor]: Taking taylor expansion of 0 in R 1.982 * [taylor]: Taking taylor expansion of 0 in R 1.982 * [taylor]: Taking taylor expansion of 0 in R 1.982 * [taylor]: Taking taylor expansion of 0 in R 1.986 * [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 1.986 * [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 1.986 * [taylor]: Taking taylor expansion of -1 in R 1.986 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 1.986 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.986 * [taylor]: Taking taylor expansion of R in R 1.987 * [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 1.987 * [taylor]: Taking taylor expansion of -1 in lambda2 1.987 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 1.987 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.987 * [taylor]: Taking taylor expansion of R in lambda2 1.988 * [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 1.988 * [taylor]: Taking taylor expansion of -1 in lambda1 1.988 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 1.988 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.989 * [taylor]: Taking taylor expansion of R in lambda1 1.989 * [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 1.989 * [taylor]: Taking taylor expansion of -1 in phi2 1.989 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 1.989 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.990 * [taylor]: Taking taylor expansion of R in phi2 1.990 * [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 1.990 * [taylor]: Taking taylor expansion of -1 in phi1 1.990 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 1.990 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.991 * [taylor]: Taking taylor expansion of R in phi1 1.991 * [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 1.991 * [taylor]: Taking taylor expansion of -1 in phi1 1.991 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 1.991 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.992 * [taylor]: Taking taylor expansion of R in phi1 1.993 * [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 1.993 * [taylor]: Taking taylor expansion of -1 in phi2 1.993 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 1.993 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.993 * [taylor]: Taking taylor expansion of R in phi2 1.995 * [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 1.995 * [taylor]: Taking taylor expansion of -1 in lambda1 1.995 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 1.995 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.995 * [taylor]: Taking taylor expansion of R in lambda1 1.996 * [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 1.996 * [taylor]: Taking taylor expansion of -1 in lambda2 1.996 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 1.996 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.997 * [taylor]: Taking taylor expansion of R in lambda2 1.998 * [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 1.998 * [taylor]: Taking taylor expansion of -1 in R 1.998 * [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)))))) R) in R 1.998 * [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 R 1.998 * [taylor]: Taking taylor expansion of R in R 2.002 * [taylor]: Taking taylor expansion of 0 in phi2 2.002 * [taylor]: Taking taylor expansion of 0 in lambda1 2.002 * [taylor]: Taking taylor expansion of 0 in lambda2 2.002 * [taylor]: Taking taylor expansion of 0 in R 2.004 * [taylor]: Taking taylor expansion of 0 in lambda1 2.004 * [taylor]: Taking taylor expansion of 0 in lambda2 2.004 * [taylor]: Taking taylor expansion of 0 in R 2.005 * [taylor]: Taking taylor expansion of 0 in lambda2 2.005 * [taylor]: Taking taylor expansion of 0 in R 2.007 * [taylor]: Taking taylor expansion of 0 in R 2.010 * [taylor]: Taking taylor expansion of 0 in phi2 2.010 * [taylor]: Taking taylor expansion of 0 in lambda1 2.010 * [taylor]: Taking taylor expansion of 0 in lambda2 2.010 * [taylor]: Taking taylor expansion of 0 in R 2.010 * [taylor]: Taking taylor expansion of 0 in lambda1 2.010 * [taylor]: Taking taylor expansion of 0 in lambda2 2.010 * [taylor]: Taking taylor expansion of 0 in R 2.012 * [taylor]: Taking taylor expansion of 0 in lambda1 2.012 * [taylor]: Taking taylor expansion of 0 in lambda2 2.012 * [taylor]: Taking taylor expansion of 0 in R 2.012 * [taylor]: Taking taylor expansion of 0 in lambda2 2.012 * [taylor]: Taking taylor expansion of 0 in R 2.012 * [taylor]: Taking taylor expansion of 0 in lambda2 2.012 * [taylor]: Taking taylor expansion of 0 in R 2.014 * [taylor]: Taking taylor expansion of 0 in lambda2 2.014 * [taylor]: Taking taylor expansion of 0 in R 2.014 * [taylor]: Taking taylor expansion of 0 in R 2.014 * [taylor]: Taking taylor expansion of 0 in R 2.014 * [taylor]: Taking taylor expansion of 0 in R 2.016 * [taylor]: Taking taylor expansion of 0 in R 2.019 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 2 1 1) 2.019 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 2.020 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 2.020 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 2.020 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.020 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 2.020 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.020 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 2.020 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.020 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.020 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 2.020 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.020 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 2.020 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.020 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.020 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 2.020 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.020 * [taylor]: Taking taylor expansion of 0 in lambda2 2.022 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 2.022 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.025 * [taylor]: Taking taylor expansion of 0 in lambda2 2.029 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2 2.029 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 2.029 * [taylor]: Taking taylor expansion of 1/6 in lambda2 2.029 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 2.029 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.035 * [taylor]: Taking taylor expansion of 0 in lambda2 2.035 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 2.035 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 2.035 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 2.035 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.035 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.035 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 2.035 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.035 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.036 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 2.036 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 2.036 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.036 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.036 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 2.036 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.036 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.036 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 2.036 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 2.036 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.036 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.037 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 2.037 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.037 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.037 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 2.037 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 2.037 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.037 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.037 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 2.037 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.037 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.039 * [taylor]: Taking taylor expansion of 0 in lambda2 2.047 * [taylor]: Taking taylor expansion of 0 in lambda2 2.052 * [taylor]: Taking taylor expansion of 0 in lambda2 2.052 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 2.052 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 2.052 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 2.052 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.052 * [taylor]: Taking taylor expansion of -1 in lambda2 2.052 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.052 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 2.052 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 2.052 * [taylor]: Taking taylor expansion of -1 in lambda2 2.052 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.053 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 2.053 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 2.053 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.053 * [taylor]: Taking taylor expansion of -1 in lambda1 2.053 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.053 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 2.053 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 2.053 * [taylor]: Taking taylor expansion of -1 in lambda1 2.053 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.053 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 2.053 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 2.053 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.053 * [taylor]: Taking taylor expansion of -1 in lambda1 2.053 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.054 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 2.054 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 2.054 * [taylor]: Taking taylor expansion of -1 in lambda1 2.054 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.054 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 2.054 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 2.054 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.054 * [taylor]: Taking taylor expansion of -1 in lambda2 2.054 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.054 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 2.054 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 2.054 * [taylor]: Taking taylor expansion of -1 in lambda2 2.054 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.056 * [taylor]: Taking taylor expansion of 0 in lambda2 2.060 * [taylor]: Taking taylor expansion of 0 in lambda2 2.066 * [taylor]: Taking taylor expansion of 0 in lambda2 2.066 * * * [progress]: simplifying candidates 2.067 * [simplify]: Simplifying using # : (log (* (cbrt (exp (* (sin lambda1) (sin lambda2)))) (cbrt (exp (* (sin lambda1) (sin lambda2)))))) (log (cbrt (exp (* (sin lambda1) (sin lambda2))))) (log (sqrt (exp (* (sin lambda1) (sin lambda2))))) (log (sqrt (exp (* (sin lambda1) (sin lambda2))))) (log 1) (log (exp (* (sin lambda1) (sin lambda2)))) (log (exp (sin lambda1))) (log (exp (* (sin lambda1) (sin lambda2)))) (log (exp (sin lambda1))) (log (log (exp (* (sin lambda1) (sin lambda2))))) (exp (log (exp (* (sin lambda1) (sin lambda2))))) (* (cbrt (log (exp (* (sin lambda1) (sin lambda2))))) (cbrt (log (exp (* (sin lambda1) (sin lambda2)))))) (cbrt (log (exp (* (sin lambda1) (sin lambda2))))) (* (* (log (exp (* (sin lambda1) (sin lambda2)))) (log (exp (* (sin lambda1) (sin lambda2))))) (log (exp (* (sin lambda1) (sin lambda2))))) (sqrt (log (exp (* (sin lambda1) (sin lambda2))))) (sqrt (log (exp (* (sin lambda1) (sin lambda2))))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R) (- (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)) (* lambda2 lambda1) (* (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))))) (* (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)) 2.072 * * [simplify]: iteration 0 : 214 enodes (cost 980 ) 2.076 * * [simplify]: iteration 1 : 628 enodes (cost 826 ) 2.086 * * [simplify]: iteration 2 : 1442 enodes (cost 826 ) 2.103 * * [simplify]: iteration 3 : 2524 enodes (cost 826 ) 2.128 * * [simplify]: iteration 4 : 5001 enodes (cost 826 ) 2.131 * [simplify]: Simplified to: (* 2 (log (cbrt (exp (* (sin lambda1) (sin lambda2)))))) (log (cbrt (exp (* (sin lambda1) (sin lambda2))))) (log (pow (exp (* (sin lambda1) (sin lambda2))) 1/2)) (log (pow (exp (* (sin lambda1) (sin lambda2))) 1/2)) 0 (* (sin lambda1) (sin lambda2)) (sin lambda1) (* (sin lambda1) (sin lambda2)) (sin lambda1) (log (* (sin lambda1) (sin lambda2))) (exp (* (sin lambda1) (sin lambda2))) (* (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))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R) (- (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)) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) 2.131 * * * [progress]: adding candidates to table 2.483 * * [progress]: iteration 4 / 4 2.483 * * * [progress]: picking best candidate 2.566 * * * * [pick]: Picked # 2.566 * * * [progress]: localizing error 2.604 * * * [progress]: generating rewritten candidates 2.604 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1 2 2 2) 2.606 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 2.607 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 2.609 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.616 * * * [progress]: generating series expansions 2.616 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1 2 2 2) 2.616 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 2.617 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 2.617 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 2.617 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.617 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 2.617 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.617 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 2.617 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.617 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.617 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 2.617 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.617 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 2.617 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.617 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.617 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 2.617 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.617 * [taylor]: Taking taylor expansion of 0 in lambda2 2.619 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 2.619 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.622 * [taylor]: Taking taylor expansion of 0 in lambda2 2.627 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2 2.627 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 2.627 * [taylor]: Taking taylor expansion of 1/6 in lambda2 2.627 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 2.627 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.632 * [taylor]: Taking taylor expansion of 0 in lambda2 2.633 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 2.633 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 2.633 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 2.633 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.633 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.633 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 2.633 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.633 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.633 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 2.633 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 2.633 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.633 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.633 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 2.634 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.634 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.634 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 2.634 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 2.634 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.634 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.634 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 2.634 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.634 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.634 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 2.634 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 2.634 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.634 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.634 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 2.635 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.635 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.637 * [taylor]: Taking taylor expansion of 0 in lambda2 2.640 * [taylor]: Taking taylor expansion of 0 in lambda2 2.646 * [taylor]: Taking taylor expansion of 0 in lambda2 2.646 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 2.646 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 2.646 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 2.646 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.646 * [taylor]: Taking taylor expansion of -1 in lambda2 2.646 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.646 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 2.646 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 2.646 * [taylor]: Taking taylor expansion of -1 in lambda2 2.646 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.647 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 2.647 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 2.647 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.647 * [taylor]: Taking taylor expansion of -1 in lambda1 2.647 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.647 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 2.647 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 2.647 * [taylor]: Taking taylor expansion of -1 in lambda1 2.647 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.647 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 2.647 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 2.647 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.647 * [taylor]: Taking taylor expansion of -1 in lambda1 2.647 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.648 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 2.648 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 2.648 * [taylor]: Taking taylor expansion of -1 in lambda1 2.648 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.648 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 2.648 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 2.648 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.648 * [taylor]: Taking taylor expansion of -1 in lambda2 2.648 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.648 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 2.648 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 2.648 * [taylor]: Taking taylor expansion of -1 in lambda2 2.648 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.650 * [taylor]: Taking taylor expansion of 0 in lambda2 2.658 * [taylor]: Taking taylor expansion of 0 in lambda2 2.664 * [taylor]: Taking taylor expansion of 0 in lambda2 2.664 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 2.665 * [approximate]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.665 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2 2.665 * [taylor]: Taking taylor 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 2.666 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1 2.666 * [taylor]: Taking taylor 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 2.666 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2 2.666 * [taylor]: Taking taylor 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 2.667 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1 2.667 * [taylor]: Taking taylor 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 2.668 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1 2.668 * [taylor]: Taking taylor 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 2.669 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2 2.669 * [taylor]: Taking taylor 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 2.669 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1 2.669 * [taylor]: Taking taylor 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 2.670 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2 2.670 * [taylor]: Taking taylor 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 2.673 * [taylor]: Taking taylor expansion of 0 in phi2 2.673 * [taylor]: Taking taylor expansion of 0 in lambda1 2.673 * [taylor]: Taking taylor expansion of 0 in lambda2 2.674 * [taylor]: Taking taylor expansion of 0 in lambda1 2.674 * [taylor]: Taking taylor expansion of 0 in lambda2 2.675 * [taylor]: Taking taylor expansion of 0 in lambda2 2.678 * [taylor]: Taking taylor expansion of 0 in phi2 2.678 * [taylor]: Taking taylor expansion of 0 in lambda1 2.678 * [taylor]: Taking taylor expansion of 0 in lambda2 2.678 * [taylor]: Taking taylor expansion of 0 in lambda1 2.678 * [taylor]: Taking taylor expansion of 0 in lambda2 2.679 * [approximate]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.679 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2 2.679 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 2.680 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1 2.680 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 2.681 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2 2.681 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 2.682 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1 2.682 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 2.683 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1 2.683 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 2.684 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2 2.684 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 2.685 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1 2.685 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 2.686 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2 2.686 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 2.689 * [taylor]: Taking taylor expansion of 0 in phi2 2.689 * [taylor]: Taking taylor expansion of 0 in lambda1 2.689 * [taylor]: Taking taylor expansion of 0 in lambda2 2.690 * [taylor]: Taking taylor expansion of 0 in lambda1 2.690 * [taylor]: Taking taylor expansion of 0 in lambda2 2.691 * [taylor]: Taking taylor expansion of 0 in lambda2 2.695 * [taylor]: Taking taylor expansion of 0 in phi2 2.695 * [taylor]: Taking taylor expansion of 0 in lambda1 2.695 * [taylor]: Taking taylor expansion of 0 in lambda2 2.695 * [taylor]: Taking taylor expansion of 0 in lambda1 2.695 * [taylor]: Taking taylor expansion of 0 in lambda2 2.696 * [approximate]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.696 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2 2.696 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 2.697 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda1 2.697 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 2.698 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2 2.698 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.699 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi1 2.699 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 2.700 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi1 2.700 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.701 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2 2.701 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.702 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda1 2.702 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.703 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2 2.703 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.706 * [taylor]: Taking taylor expansion of 0 in phi2 2.706 * [taylor]: Taking taylor expansion of 0 in lambda1 2.706 * [taylor]: Taking taylor expansion of 0 in lambda2 2.707 * [taylor]: Taking taylor expansion of 0 in lambda1 2.707 * [taylor]: Taking taylor expansion of 0 in lambda2 2.709 * [taylor]: Taking taylor expansion of 0 in lambda2 2.712 * [taylor]: Taking taylor expansion of 0 in phi2 2.712 * [taylor]: Taking taylor expansion of 0 in lambda1 2.712 * [taylor]: Taking taylor expansion of 0 in lambda2 2.712 * [taylor]: Taking taylor expansion of 0 in lambda1 2.712 * [taylor]: Taking taylor expansion of 0 in lambda2 2.713 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 2.713 * [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 2.713 * [taylor]: Taking taylor 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 2.714 * [taylor]: Taking taylor 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 2.714 * [taylor]: Taking taylor 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 2.714 * [taylor]: Taking taylor 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 2.715 * [taylor]: Taking taylor 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 2.715 * [taylor]: Taking taylor 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 2.715 * [taylor]: Taking taylor 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 2.716 * [taylor]: Taking taylor 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 2.717 * [taylor]: Taking taylor expansion of 0 in phi2 2.717 * [taylor]: Taking taylor expansion of 0 in lambda1 2.717 * [taylor]: Taking taylor expansion of 0 in lambda2 2.717 * [taylor]: Taking taylor expansion of 0 in lambda1 2.717 * [taylor]: Taking taylor expansion of 0 in lambda2 2.717 * [taylor]: Taking taylor expansion of 0 in lambda2 2.717 * [taylor]: Taking taylor expansion of 0 in phi2 2.717 * [taylor]: Taking taylor expansion of 0 in lambda1 2.717 * [taylor]: Taking taylor expansion of 0 in lambda2 2.717 * [taylor]: Taking taylor expansion of 0 in lambda1 2.717 * [taylor]: Taking taylor expansion of 0 in lambda2 2.718 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.718 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 2.718 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 2.719 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 2.719 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 2.720 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 2.720 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 2.721 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 2.721 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 2.722 * [taylor]: Taking taylor expansion of 0 in phi2 2.722 * [taylor]: Taking taylor expansion of 0 in lambda1 2.723 * [taylor]: Taking taylor expansion of 0 in lambda2 2.723 * [taylor]: Taking taylor expansion of 0 in lambda1 2.723 * [taylor]: Taking taylor expansion of 0 in lambda2 2.723 * [taylor]: Taking taylor expansion of 0 in lambda2 2.723 * [taylor]: Taking taylor expansion of 0 in phi2 2.723 * [taylor]: Taking taylor expansion of 0 in lambda1 2.723 * [taylor]: Taking taylor expansion of 0 in lambda2 2.723 * [taylor]: Taking taylor expansion of 0 in lambda1 2.723 * [taylor]: Taking taylor expansion of 0 in lambda2 2.724 * [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 2.724 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.725 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.725 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.726 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.726 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.727 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.727 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.728 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.729 * [taylor]: Taking taylor expansion of 0 in phi2 2.729 * [taylor]: Taking taylor expansion of 0 in lambda1 2.729 * [taylor]: Taking taylor expansion of 0 in lambda2 2.729 * [taylor]: Taking taylor expansion of 0 in lambda1 2.729 * [taylor]: Taking taylor expansion of 0 in lambda2 2.729 * [taylor]: Taking taylor expansion of 0 in lambda2 2.729 * [taylor]: Taking taylor expansion of 0 in phi2 2.729 * [taylor]: Taking taylor expansion of 0 in lambda1 2.729 * [taylor]: Taking taylor expansion of 0 in lambda2 2.729 * [taylor]: Taking taylor expansion of 0 in lambda1 2.729 * [taylor]: Taking taylor expansion of 0 in lambda2 2.730 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.730 * [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 2.730 * [taylor]: Taking 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 2.730 * [taylor]: Taking taylor 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 2.731 * [taylor]: Taking taylor expansion of R in R 2.731 * [taylor]: Taking 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 2.731 * [taylor]: Taking taylor 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 2.731 * [taylor]: Taking taylor expansion of R in lambda2 2.731 * [taylor]: Taking 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 2.731 * [taylor]: Taking taylor 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 2.732 * [taylor]: Taking taylor expansion of R in lambda1 2.732 * [taylor]: Taking 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 2.732 * [taylor]: Taking taylor 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 2.732 * [taylor]: Taking taylor expansion of R in phi2 2.732 * [taylor]: Taking 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 2.732 * [taylor]: Taking taylor 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 2.733 * [taylor]: Taking taylor expansion of R in phi1 2.733 * [taylor]: Taking 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 2.733 * [taylor]: Taking taylor 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 2.733 * [taylor]: Taking taylor expansion of R in phi1 2.734 * [taylor]: Taking 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 2.734 * [taylor]: Taking taylor 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 2.734 * [taylor]: Taking taylor expansion of R in phi2 2.734 * [taylor]: Taking 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 2.734 * [taylor]: Taking taylor 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 2.735 * [taylor]: Taking taylor expansion of R in lambda1 2.735 * [taylor]: Taking 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 2.735 * [taylor]: Taking taylor 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 2.736 * [taylor]: Taking taylor expansion of R in lambda2 2.736 * [taylor]: Taking 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 2.736 * [taylor]: Taking taylor 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 2.736 * [taylor]: Taking taylor expansion of R in R 2.737 * [taylor]: Taking taylor expansion of 0 in phi2 2.737 * [taylor]: Taking taylor expansion of 0 in lambda1 2.737 * [taylor]: Taking taylor expansion of 0 in lambda2 2.737 * [taylor]: Taking taylor expansion of 0 in R 2.738 * [taylor]: Taking taylor expansion of 0 in lambda1 2.738 * [taylor]: Taking taylor expansion of 0 in lambda2 2.738 * [taylor]: Taking taylor expansion of 0 in R 2.738 * [taylor]: Taking taylor expansion of 0 in lambda2 2.738 * [taylor]: Taking taylor expansion of 0 in R 2.739 * [taylor]: Taking taylor expansion of 0 in R 2.744 * [taylor]: Taking taylor expansion of 0 in phi2 2.744 * [taylor]: Taking taylor expansion of 0 in lambda1 2.744 * [taylor]: Taking taylor expansion of 0 in lambda2 2.744 * [taylor]: Taking taylor expansion of 0 in R 2.744 * [taylor]: Taking taylor expansion of 0 in lambda1 2.744 * [taylor]: Taking taylor expansion of 0 in lambda2 2.744 * [taylor]: Taking taylor expansion of 0 in R 2.745 * [taylor]: Taking taylor expansion of 0 in lambda1 2.745 * [taylor]: Taking taylor expansion of 0 in lambda2 2.745 * [taylor]: Taking taylor expansion of 0 in R 2.745 * [taylor]: Taking taylor expansion of 0 in lambda2 2.745 * [taylor]: Taking taylor expansion of 0 in R 2.745 * [taylor]: Taking taylor expansion of 0 in lambda2 2.745 * [taylor]: Taking taylor expansion of 0 in R 2.746 * [taylor]: Taking taylor expansion of 0 in lambda2 2.746 * [taylor]: Taking taylor expansion of 0 in R 2.747 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 2.747 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 2.747 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 2.748 * [taylor]: Taking taylor expansion of R in R 2.748 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 2.749 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 2.749 * [taylor]: Taking taylor expansion of R in lambda2 2.750 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 2.750 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 2.750 * [taylor]: Taking taylor expansion of R in lambda1 2.751 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 2.751 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 2.751 * [taylor]: Taking taylor expansion of R in phi2 2.752 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 2.752 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 2.752 * [taylor]: Taking taylor expansion of R in phi1 2.753 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 2.753 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 2.753 * [taylor]: Taking taylor expansion of R in phi1 2.754 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 2.754 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 2.755 * [taylor]: Taking taylor expansion of R in phi2 2.755 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 2.755 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 2.756 * [taylor]: Taking taylor expansion of R in lambda1 2.756 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 2.756 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 2.757 * [taylor]: Taking taylor expansion of R in lambda2 2.757 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 2.757 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 2.758 * [taylor]: Taking taylor expansion of R in R 2.760 * [taylor]: Taking taylor expansion of 0 in phi2 2.760 * [taylor]: Taking taylor expansion of 0 in lambda1 2.760 * [taylor]: Taking taylor expansion of 0 in lambda2 2.760 * [taylor]: Taking taylor expansion of 0 in R 2.760 * [taylor]: Taking taylor expansion of 0 in lambda1 2.760 * [taylor]: Taking taylor expansion of 0 in lambda2 2.760 * [taylor]: Taking taylor expansion of 0 in R 2.761 * [taylor]: Taking taylor expansion of 0 in lambda2 2.761 * [taylor]: Taking taylor expansion of 0 in R 2.762 * [taylor]: Taking taylor expansion of 0 in R 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 2.764 * [taylor]: Taking taylor expansion of 0 in R 2.764 * [taylor]: Taking taylor expansion of 0 in lambda1 2.764 * [taylor]: Taking taylor expansion of 0 in lambda2 2.764 * [taylor]: Taking taylor expansion of 0 in R 2.764 * [taylor]: Taking taylor expansion of 0 in lambda1 2.764 * [taylor]: Taking taylor expansion of 0 in lambda2 2.764 * [taylor]: Taking taylor expansion of 0 in R 2.764 * [taylor]: Taking taylor expansion of 0 in lambda2 2.764 * [taylor]: Taking taylor expansion of 0 in R 2.764 * [taylor]: Taking taylor expansion of 0 in lambda2 2.765 * [taylor]: Taking taylor expansion of 0 in R 2.765 * [taylor]: Taking taylor expansion of 0 in lambda2 2.765 * [taylor]: Taking taylor expansion of 0 in R 2.765 * [taylor]: Taking taylor expansion of 0 in R 2.765 * [taylor]: Taking taylor expansion of 0 in R 2.765 * [taylor]: Taking taylor expansion of 0 in R 2.766 * [taylor]: Taking taylor expansion of 0 in R 2.769 * [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 2.769 * [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 2.770 * [taylor]: Taking taylor expansion of -1 in R 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)))))) R) in R 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 R 2.770 * [taylor]: Taking taylor expansion of R in R 2.771 * [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 2.771 * [taylor]: Taking taylor expansion of -1 in lambda2 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)))))) R) in lambda2 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 lambda2 2.771 * [taylor]: Taking taylor expansion of R in lambda2 2.772 * [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 2.772 * [taylor]: Taking taylor expansion of -1 in lambda1 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)))))) R) in lambda1 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 lambda1 2.772 * [taylor]: Taking taylor expansion of R in lambda1 2.773 * [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 2.773 * [taylor]: Taking taylor expansion of -1 in phi2 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)))))) R) in phi2 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 phi2 2.773 * [taylor]: Taking taylor expansion of R in phi2 2.774 * [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 2.774 * [taylor]: Taking taylor expansion of -1 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)))))) R) 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 2.774 * [taylor]: Taking taylor expansion of R in phi1 2.775 * [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 2.775 * [taylor]: Taking taylor expansion of -1 in phi1 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)))))) R) in phi1 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 phi1 2.776 * [taylor]: Taking taylor expansion of R in phi1 2.777 * [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 2.777 * [taylor]: Taking taylor expansion of -1 in phi2 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)))))) R) in phi2 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 phi2 2.777 * [taylor]: Taking taylor expansion of R in phi2 2.778 * [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 2.778 * [taylor]: Taking taylor expansion of -1 in lambda1 2.778 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 2.778 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.779 * [taylor]: Taking taylor expansion of R in lambda1 2.780 * [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 2.780 * [taylor]: Taking taylor expansion of -1 in lambda2 2.780 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 2.780 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.780 * [taylor]: Taking taylor expansion of R in lambda2 2.782 * [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 2.782 * [taylor]: Taking taylor expansion of -1 in R 2.782 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 2.782 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.782 * [taylor]: Taking taylor expansion of R in R 2.785 * [taylor]: Taking taylor expansion of 0 in phi2 2.785 * [taylor]: Taking taylor expansion of 0 in lambda1 2.785 * [taylor]: Taking taylor expansion of 0 in lambda2 2.786 * [taylor]: Taking taylor expansion of 0 in R 2.787 * [taylor]: Taking taylor expansion of 0 in lambda1 2.787 * [taylor]: Taking taylor expansion of 0 in lambda2 2.787 * [taylor]: Taking taylor expansion of 0 in R 2.789 * [taylor]: Taking taylor expansion of 0 in lambda2 2.789 * [taylor]: Taking taylor expansion of 0 in R 2.790 * [taylor]: Taking taylor expansion of 0 in R 2.794 * [taylor]: Taking taylor expansion of 0 in phi2 2.794 * [taylor]: Taking taylor expansion of 0 in lambda1 2.794 * [taylor]: Taking taylor expansion of 0 in lambda2 2.794 * [taylor]: Taking taylor expansion of 0 in R 2.794 * [taylor]: Taking taylor expansion of 0 in lambda1 2.794 * [taylor]: Taking taylor expansion of 0 in lambda2 2.794 * [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 2.798 * [taylor]: Taking taylor expansion of 0 in lambda2 2.798 * [taylor]: Taking taylor expansion of 0 in R 2.798 * [taylor]: Taking taylor expansion of 0 in R 2.798 * [taylor]: Taking taylor expansion of 0 in R 2.798 * [taylor]: Taking taylor expansion of 0 in R 2.800 * [taylor]: Taking taylor expansion of 0 in R 2.804 * * * [progress]: simplifying candidates 2.805 * [simplify]: Simplifying using # : (log (* (cbrt (exp (* (sin lambda1) (sin lambda2)))) (cbrt (exp (* (sin lambda1) (sin lambda2)))))) (log (cbrt (exp (* (sin lambda1) (sin lambda2))))) (log (sqrt (exp (* (sin lambda1) (sin lambda2))))) (log (sqrt (exp (* (sin lambda1) (sin lambda2))))) (log 1) (log (exp (* (sin lambda1) (sin lambda2)))) (log (exp (sin lambda1))) (log (exp (* (sin lambda1) (sin lambda2)))) (log (exp (sin lambda1))) (log (log (exp (* (sin lambda1) (sin lambda2))))) (exp (log (exp (* (sin lambda1) (sin lambda2))))) (* (cbrt (log (exp (* (sin lambda1) (sin lambda2))))) (cbrt (log (exp (* (sin lambda1) (sin lambda2)))))) (cbrt (log (exp (* (sin lambda1) (sin lambda2))))) (* (* (log (exp (* (sin lambda1) (sin lambda2)))) (log (exp (* (sin lambda1) (sin lambda2))))) (log (exp (* (sin lambda1) (sin lambda2))))) (sqrt (log (exp (* (sin lambda1) (sin lambda2))))) (sqrt (log (exp (* (sin lambda1) (sin lambda2))))) (log (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))))) (log (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) (log 1) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (log (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) (* (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))))) (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) (* (* (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) (sqrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) (sqrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (log R)) (log (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) R)) (exp (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) R)) (* (* (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))))) (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))))) (* (* R R) R)) (* (cbrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) R)) (cbrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) R))) (cbrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) R)) (* (* (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) R) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) R)) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) R)) (sqrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) R)) (sqrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) R)) (* (exp (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))))) (sqrt R)) (* (exp (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))))) (sqrt R)) (* (sqrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))))) (sqrt R)) (* (sqrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))))) (sqrt R)) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) (* (cbrt R) (cbrt R))) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) (sqrt R)) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) 1) (* (exp (log (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))))) R) (* (exp (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))))) R) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) R) (* (cbrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))))) R) (* (sqrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))))) R) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) R) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) (log (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* (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) 2.811 * * [simplify]: iteration 0 : 187 enodes (cost 1413 ) 2.814 * * [simplify]: iteration 1 : 447 enodes (cost 1196 ) 2.822 * * [simplify]: iteration 2 : 953 enodes (cost 1179 ) 2.834 * * [simplify]: iteration 3 : 1543 enodes (cost 1177 ) 2.856 * * [simplify]: iteration 4 : 3913 enodes (cost 1177 ) 2.979 * * [simplify]: iteration 5 : 5002 enodes (cost 1173 ) 2.983 * [simplify]: Simplified to: (* 2 (log (cbrt (exp (* (sin lambda1) (sin lambda2)))))) (log (cbrt (exp (* (sin lambda1) (sin lambda2))))) (* (/ (sin lambda2) 2) (sin lambda1)) (* (/ (sin lambda2) 2) (sin lambda1)) 0 (* (sin lambda1) (sin lambda2)) (sin lambda1) (* (sin lambda1) (sin lambda2)) (sin lambda1) (+ (log (sin lambda1)) (log (sin lambda2))) (exp (* (sin lambda1) (sin lambda2))) (* (cbrt (log (exp (* (sin lambda1) (sin lambda2))))) (cbrt (log (exp (* (sin lambda1) (sin lambda2)))))) (cbrt (log (exp (* (sin lambda1) (sin lambda2))))) (pow (* (sin lambda1) (sin lambda2)) 3) (sqrt (log (exp (* (sin lambda1) (sin lambda2))))) (sqrt (log (exp (* (sin lambda1) (sin lambda2))))) (* 2 (log (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))))) (log (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) 0 (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (log (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))))) (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) (pow (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) 3) (sqrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) (sqrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin 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phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (log R)) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (log R)) (pow (exp R) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (pow (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) 3) (* (cbrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) R)) (cbrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) R))) (cbrt (* (exp (log (acos (+ (* (sin 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(+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) (* (sqrt R) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) (cbrt R)) (cbrt R)) (* (sqrt R) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) (* R (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) (* R (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (* R (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) (* R (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) 2.983 * * * [progress]: adding candidates to table 3.379 * [progress]: [Phase 3 of 3] Extracting. 3.379 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # #) 3.400 * * * [regime-changes]: Trying 5 branch expressions: (phi2 phi1 lambda2 lambda1 R) 3.401 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # # # # # #) 3.507 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # # # # # #) 3.613 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # # # # # # #) 3.718 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # # # # # #) 3.825 * * * * [regimes]: Trying to branch on R from (# # # # # # # # # # # # #) 3.931 * * * [regime]: Found split indices: #